TSTP Solution File: ITP011_3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP011_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:47:23 EDT 2024
% Result : Theorem 3.06s 1.23s
% Output : Refutation 3.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : ITP011_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.37 % Computer : n017.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri May 3 19:15:08 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.38 This is a TF1_THM_EQU_NAR problem
% 0.14/0.38 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.8A8cfzgwlW/Vampire---4.8_22588
% 0.58/0.82 % (22849)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.58/0.82 % (22847)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.58/0.82 % (22849)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.58/0.82 % (22843)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.58/0.82 % (22846)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.58/0.82 % (22844)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.58/0.82 % (22848)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.58/0.82 % (22845)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.82 % (22849)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.58/0.83 % (22850)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.58/0.83 % (22846)Refutation not found, incomplete strategy% (22846)------------------------------
% 0.58/0.83 % (22846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.83 % (22846)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.83
% 0.58/0.83 % (22846)Memory used [KB]: 1106
% 0.58/0.83 % (22846)Time elapsed: 0.007 s
% 0.58/0.83 % (22846)Instructions burned: 6 (million)
% 0.58/0.83 % (22846)------------------------------
% 0.58/0.83 % (22846)------------------------------
% 0.58/0.83 % (22850)Refutation not found, incomplete strategy% (22850)------------------------------
% 0.58/0.83 % (22850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.83 % (22850)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.83
% 0.58/0.83 % (22850)Memory used [KB]: 1090
% 0.58/0.83 % (22850)Time elapsed: 0.004 s
% 0.58/0.83 % (22850)Instructions burned: 5 (million)
% 0.58/0.83 % (22850)------------------------------
% 0.58/0.83 % (22850)------------------------------
% 0.58/0.84 % (22847)Refutation not found, incomplete strategy% (22847)------------------------------
% 0.58/0.84 % (22847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.84 % (22847)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.84
% 0.58/0.84 % (22847)Memory used [KB]: 1211
% 0.58/0.84 % (22847)Time elapsed: 0.007 s
% 0.58/0.84 % (22847)Instructions burned: 11 (million)
% 0.58/0.84 % (22859)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.58/0.84 % (22847)------------------------------
% 0.58/0.84 % (22847)------------------------------
% 0.58/0.84 % (22860)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.58/0.85 % (22860)Refutation not found, incomplete strategy% (22860)------------------------------
% 0.58/0.85 % (22860)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.85 % (22860)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.85
% 0.58/0.85 % (22860)Memory used [KB]: 1200
% 0.58/0.85 % (22860)Time elapsed: 0.007 s
% 0.58/0.85 % (22860)Instructions burned: 11 (million)
% 0.58/0.85 % (22860)------------------------------
% 0.58/0.85 % (22860)------------------------------
% 0.58/0.85 % (22843)Instruction limit reached!
% 0.58/0.85 % (22843)------------------------------
% 0.58/0.85 % (22843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.85 % (22843)Termination reason: Unknown
% 0.58/0.85 % (22843)Termination phase: Saturation
% 0.58/0.85
% 0.58/0.85 % (22843)Memory used [KB]: 1737
% 0.58/0.85 % (22843)Time elapsed: 0.032 s
% 0.58/0.85 % (22843)Instructions burned: 34 (million)
% 0.58/0.85 % (22843)------------------------------
% 0.58/0.85 % (22843)------------------------------
% 0.58/0.85 % (22862)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.58/0.86 % (22864)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.70/0.86 % (22849)Instruction limit reached!
% 0.70/0.86 % (22849)------------------------------
% 0.70/0.86 % (22849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86 % (22849)Termination reason: Unknown
% 0.70/0.86 % (22849)Termination phase: Saturation
% 0.70/0.86
% 0.70/0.86 % (22849)Memory used [KB]: 1543
% 0.70/0.86 % (22849)Time elapsed: 0.041 s
% 0.70/0.86 % (22849)Instructions burned: 83 (million)
% 0.70/0.86 % (22849)------------------------------
% 0.70/0.86 % (22849)------------------------------
% 0.70/0.86 % (22848)Instruction limit reached!
% 0.70/0.86 % (22848)------------------------------
% 0.70/0.86 % (22848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86 % (22848)Termination reason: Unknown
% 0.70/0.86 % (22848)Termination phase: Saturation
% 0.70/0.86
% 0.70/0.86 % (22848)Memory used [KB]: 1310
% 0.70/0.86 % (22848)Time elapsed: 0.041 s
% 0.70/0.86 % (22848)Instructions burned: 45 (million)
% 0.70/0.86 % (22848)------------------------------
% 0.70/0.86 % (22848)------------------------------
% 0.70/0.86 % (22868)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.70/0.87 % (22861)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.70/0.87 % (22869)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.70/0.87 % (22868)Refutation not found, incomplete strategy% (22868)------------------------------
% 0.70/0.87 % (22868)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (22868)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87
% 0.70/0.87 % (22868)Memory used [KB]: 1167
% 0.70/0.87 % (22868)Time elapsed: 0.006 s
% 0.70/0.87 % (22868)Instructions burned: 10 (million)
% 0.70/0.87 % (22868)------------------------------
% 0.70/0.87 % (22868)------------------------------
% 0.70/0.87 % (22869)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.70/0.87 % (22844)Instruction limit reached!
% 0.70/0.87 % (22844)------------------------------
% 0.70/0.87 % (22844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (22844)Termination reason: Unknown
% 0.70/0.87 % (22844)Termination phase: Saturation
% 0.70/0.87
% 0.70/0.87 % (22844)Memory used [KB]: 1664
% 0.70/0.87 % (22844)Time elapsed: 0.054 s
% 0.70/0.87 % (22844)Instructions burned: 51 (million)
% 0.70/0.87 % (22844)------------------------------
% 0.70/0.87 % (22844)------------------------------
% 0.70/0.88 % (22873)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.70/0.88 % (22873)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.70/0.88 % (22862)Instruction limit reached!
% 0.70/0.88 % (22862)------------------------------
% 0.70/0.88 % (22862)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88 % (22862)Termination reason: Unknown
% 0.70/0.88 % (22862)Termination phase: Saturation
% 0.70/0.88
% 0.70/0.88 % (22862)Memory used [KB]: 1482
% 0.70/0.89 % (22862)Time elapsed: 0.033 s
% 0.70/0.89 % (22862)Instructions burned: 52 (million)
% 0.70/0.89 % (22862)------------------------------
% 0.70/0.89 % (22862)------------------------------
% 0.70/0.89 % (22859)Instruction limit reached!
% 0.70/0.89 % (22859)------------------------------
% 0.70/0.89 % (22859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89 % (22859)Termination reason: Unknown
% 0.70/0.89 % (22859)Termination phase: Saturation
% 0.70/0.89
% 0.70/0.89 % (22859)Memory used [KB]: 1492
% 0.70/0.89 % (22859)Time elapsed: 0.055 s
% 0.70/0.89 % (22859)Instructions burned: 55 (million)
% 0.70/0.89 % (22859)------------------------------
% 0.70/0.89 % (22859)------------------------------
% 0.70/0.89 % (22876)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.70/0.89 % (22876)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.95/0.89 % (22845)Instruction limit reached!
% 0.95/0.89 % (22845)------------------------------
% 0.95/0.89 % (22845)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.89 % (22845)Termination reason: Unknown
% 0.95/0.89 % (22845)Termination phase: Saturation
% 0.95/0.89
% 0.95/0.89 % (22845)Memory used [KB]: 1418
% 0.95/0.89 % (22845)Time elapsed: 0.072 s
% 0.95/0.89 % (22845)Instructions burned: 78 (million)
% 0.95/0.89 % (22845)------------------------------
% 0.95/0.89 % (22845)------------------------------
% 0.95/0.89 % (22877)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.95/0.89 % (22877)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.95/0.89 % (22871)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.95/0.90 % (22871)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.95/0.92 % (22879)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.95/0.92 % (22879)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.95/0.93 % (22873)Refutation not found, incomplete strategy% (22873)------------------------------
% 0.95/0.93 % (22873)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.93 % (22873)Termination reason: Refutation not found, incomplete strategy
% 0.95/0.93
% 0.95/0.93 % (22873)Memory used [KB]: 1470
% 0.95/0.93 % (22873)Time elapsed: 0.052 s
% 0.95/0.93 % (22873)Instructions burned: 47 (million)
% 0.95/0.93 % (22873)------------------------------
% 0.95/0.93 % (22873)------------------------------
% 1.07/0.94 % (22876)Instruction limit reached!
% 1.07/0.94 % (22876)------------------------------
% 1.07/0.94 % (22876)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.94 % (22876)Termination reason: Unknown
% 1.07/0.94 % (22876)Termination phase: Saturation
% 1.07/0.94
% 1.07/0.94 % (22876)Memory used [KB]: 1644
% 1.07/0.94 % (22876)Time elapsed: 0.049 s
% 1.07/0.94 % (22876)Instructions burned: 94 (million)
% 1.07/0.94 % (22876)------------------------------
% 1.07/0.94 % (22876)------------------------------
% 1.07/0.94 % (22883)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 1.07/0.94 % (22884)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 1.07/0.94 % (22884)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.07/0.94 % (22884)Refutation not found, incomplete strategy% (22884)------------------------------
% 1.07/0.94 % (22884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.94 % (22884)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.94
% 1.07/0.94 % (22884)Memory used [KB]: 1182
% 1.07/0.94 % (22884)Time elapsed: 0.007 s
% 1.07/0.94 % (22884)Instructions burned: 12 (million)
% 1.07/0.94 % (22884)------------------------------
% 1.07/0.94 % (22884)------------------------------
% 1.07/0.95 % (22886)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 1.07/0.95 % (22877)Instruction limit reached!
% 1.07/0.95 % (22877)------------------------------
% 1.07/0.95 % (22877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.95 % (22877)Termination reason: Unknown
% 1.07/0.95 % (22877)Termination phase: Saturation
% 1.07/0.95
% 1.07/0.95 % (22877)Memory used [KB]: 2188
% 1.07/0.95 % (22877)Time elapsed: 0.060 s
% 1.07/0.95 % (22877)Instructions burned: 62 (million)
% 1.07/0.95 % (22877)------------------------------
% 1.07/0.95 % (22877)------------------------------
% 1.07/0.95 % (22886)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.07/0.95 % (22879)Instruction limit reached!
% 1.07/0.95 % (22879)------------------------------
% 1.07/0.95 % (22879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.95 % (22879)Termination reason: Unknown
% 1.07/0.95 % (22879)Termination phase: Saturation
% 1.07/0.95
% 1.07/0.95 % (22879)Memory used [KB]: 1332
% 1.07/0.95 % (22879)Time elapsed: 0.076 s
% 1.07/0.95 % (22879)Instructions burned: 33 (million)
% 1.07/0.95 % (22879)------------------------------
% 1.07/0.95 % (22879)------------------------------
% 1.07/0.96 % (22886)Refutation not found, incomplete strategy% (22886)------------------------------
% 1.07/0.96 % (22886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.96 % (22886)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.96
% 1.07/0.96 % (22886)Memory used [KB]: 1188
% 1.07/0.96 % (22886)Time elapsed: 0.009 s
% 1.07/0.96 % (22886)Instructions burned: 15 (million)
% 1.07/0.96 % (22886)------------------------------
% 1.07/0.96 % (22886)------------------------------
% 1.07/0.96 % (22887)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.07/0.96 % (22887)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.07/0.96 % (22889)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.07/0.97 % (22888)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.07/0.97 % (22871)Instruction limit reached!
% 1.07/0.97 % (22871)------------------------------
% 1.07/0.97 % (22871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.97 % (22871)Termination reason: Unknown
% 1.07/0.97 % (22871)Termination phase: Saturation
% 1.07/0.97
% 1.07/0.97 % (22871)Memory used [KB]: 2969
% 1.07/0.97 % (22871)Time elapsed: 0.103 s
% 1.07/0.97 % (22871)Instructions burned: 119 (million)
% 1.07/0.97 % (22871)------------------------------
% 1.07/0.97 % (22871)------------------------------
% 1.07/0.98 % (22892)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.07/0.98 % (22892)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.07/0.98 % (22889)Instruction limit reached!
% 1.07/0.98 % (22889)------------------------------
% 1.07/0.98 % (22889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.98 % (22887)Refutation not found, incomplete strategy% (22887)------------------------------
% 1.07/0.98 % (22887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.98 % (22887)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.98
% 1.07/0.98 % (22887)Memory used [KB]: 1265
% 1.07/0.98 % (22887)Time elapsed: 0.033 s
% 1.07/0.98 % (22887)Instructions burned: 17 (million)
% 1.07/0.98 % (22889)Termination reason: Unknown
% 1.07/0.98 % (22889)Termination phase: Saturation
% 1.07/0.98
% 1.07/0.98 % (22889)Memory used [KB]: 1348
% 1.07/0.98 % (22889)Time elapsed: 0.042 s
% 1.07/0.98 % (22889)Instructions burned: 35 (million)
% 1.07/0.98 % (22889)------------------------------
% 1.07/0.98 % (22889)------------------------------
% 1.07/0.98 % (22887)------------------------------
% 1.07/0.98 % (22887)------------------------------
% 1.07/0.98 % (22893)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.07/0.99 % (22894)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.07/1.00 % (22894)Refutation not found, incomplete strategy% (22894)------------------------------
% 1.07/1.00 % (22894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/1.00 % (22894)Termination reason: Refutation not found, incomplete strategy
% 1.07/1.00
% 1.07/1.00 % (22894)Memory used [KB]: 1170
% 1.07/1.00 % (22894)Time elapsed: 0.033 s
% 1.07/1.00 % (22894)Instructions burned: 9 (million)
% 1.07/1.00 % (22894)------------------------------
% 1.07/1.00 % (22894)------------------------------
% 1.34/1.00 % (22888)Instruction limit reached!
% 1.34/1.00 % (22888)------------------------------
% 1.34/1.00 % (22888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.00 % (22888)Termination reason: Unknown
% 1.34/1.00 % (22888)Termination phase: Saturation
% 1.34/1.00
% 1.34/1.00 % (22888)Memory used [KB]: 1601
% 1.34/1.00 % (22888)Time elapsed: 0.063 s
% 1.34/1.00 % (22888)Instructions burned: 103 (million)
% 1.34/1.00 % (22888)------------------------------
% 1.34/1.00 % (22888)------------------------------
% 1.34/1.00 % (22861)Instruction limit reached!
% 1.34/1.00 % (22861)------------------------------
% 1.34/1.00 % (22861)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.00 % (22861)Termination reason: Unknown
% 1.34/1.00 % (22861)Termination phase: Saturation
% 1.34/1.00
% 1.34/1.00 % (22861)Memory used [KB]: 1625
% 1.34/1.00 % (22861)Time elapsed: 0.172 s
% 1.34/1.00 % (22861)Instructions burned: 208 (million)
% 1.34/1.00 % (22861)------------------------------
% 1.34/1.00 % (22861)------------------------------
% 1.34/1.00 % (22896)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.34/1.00 % (22896)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.34/1.01 % (22900)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2993ds/40Mi)
% 1.34/1.02 % (22901)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2993ds/360Mi)
% 1.34/1.02 % (22892)Instruction limit reached!
% 1.34/1.02 % (22892)------------------------------
% 1.34/1.02 % (22892)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.02 % (22892)Termination reason: Unknown
% 1.34/1.02 % (22892)Termination phase: Saturation
% 1.34/1.02
% 1.34/1.02 % (22892)Memory used [KB]: 1601
% 1.34/1.02 % (22892)Time elapsed: 0.068 s
% 1.34/1.02 % (22892)Instructions burned: 87 (million)
% 1.34/1.02 % (22892)------------------------------
% 1.34/1.02 % (22892)------------------------------
% 1.34/1.03 % (22900)Instruction limit reached!
% 1.34/1.03 % (22900)------------------------------
% 1.34/1.03 % (22900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.03 % (22900)Termination reason: Unknown
% 1.34/1.03 % (22900)Termination phase: Saturation
% 1.34/1.03
% 1.34/1.03 % (22900)Memory used [KB]: 1569
% 1.34/1.03 % (22900)Time elapsed: 0.025 s
% 1.34/1.03 % (22900)Instructions burned: 40 (million)
% 1.34/1.03 % (22900)------------------------------
% 1.34/1.03 % (22900)------------------------------
% 1.34/1.03 % (22903)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2993ds/161Mi)
% 1.34/1.03 % (22903)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.34/1.03 % (22903)Refutation not found, incomplete strategy% (22903)------------------------------
% 1.34/1.03 % (22903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.03 % (22903)Termination reason: Refutation not found, incomplete strategy
% 1.34/1.03
% 1.34/1.03 % (22903)Memory used [KB]: 1160
% 1.34/1.03 % (22903)Time elapsed: 0.005 s
% 1.34/1.03 % (22903)Instructions burned: 6 (million)
% 1.34/1.04 % (22903)------------------------------
% 1.34/1.04 % (22903)------------------------------
% 1.34/1.04 % (22893)Instruction limit reached!
% 1.34/1.04 % (22893)------------------------------
% 1.34/1.04 % (22893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.04 % (22893)Termination reason: Unknown
% 1.34/1.04 % (22893)Termination phase: Saturation
% 1.34/1.04
% 1.34/1.04 % (22893)Memory used [KB]: 1794
% 1.34/1.04 % (22893)Time elapsed: 0.079 s
% 1.34/1.04 % (22893)Instructions burned: 109 (million)
% 1.34/1.04 % (22893)------------------------------
% 1.34/1.04 % (22893)------------------------------
% 1.34/1.04 % (22905)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2993ds/80Mi)
% 1.34/1.04 % (22906)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2993ds/37Mi)
% 1.34/1.04 % (22906)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.34/1.04 % (22869)Instruction limit reached!
% 1.34/1.04 % (22869)------------------------------
% 1.34/1.04 % (22869)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.04 % (22869)Termination reason: Unknown
% 1.34/1.04 % (22869)Termination phase: Saturation
% 1.34/1.04
% 1.34/1.04 % (22869)Memory used [KB]: 1920
% 1.34/1.04 % (22869)Time elapsed: 0.176 s
% 1.34/1.04 % (22869)Instructions burned: 244 (million)
% 1.34/1.04 % (22869)------------------------------
% 1.34/1.04 % (22869)------------------------------
% 1.34/1.05 % (22907)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2993ds/55Mi)
% 1.34/1.05 % (22907)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.34/1.05 % (22896)Instruction limit reached!
% 1.34/1.05 % (22896)------------------------------
% 1.34/1.05 % (22896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.05 % (22896)Termination reason: Unknown
% 1.34/1.05 % (22896)Termination phase: Saturation
% 1.34/1.05
% 1.34/1.05 % (22896)Memory used [KB]: 1854
% 1.34/1.05 % (22896)Time elapsed: 0.059 s
% 1.34/1.05 % (22896)Instructions burned: 70 (million)
% 1.34/1.05 % (22896)------------------------------
% 1.34/1.05 % (22896)------------------------------
% 1.34/1.05 % (22907)Refutation not found, incomplete strategy% (22907)------------------------------
% 1.34/1.05 % (22907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.05 % (22907)Termination reason: Refutation not found, incomplete strategy
% 1.34/1.05
% 1.34/1.05 % (22907)Memory used [KB]: 1180
% 1.34/1.05 % (22907)Time elapsed: 0.008 s
% 1.34/1.05 % (22907)Instructions burned: 11 (million)
% 1.34/1.05 % (22908)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2993ds/47Mi)
% 1.34/1.05 % (22907)------------------------------
% 1.34/1.05 % (22907)------------------------------
% 1.34/1.06 % (22911)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2993ds/32Mi)
% 1.34/1.06 % (22906)Instruction limit reached!
% 1.34/1.06 % (22906)------------------------------
% 1.34/1.06 % (22906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.06 % (22906)Termination reason: Unknown
% 1.34/1.06 % (22906)Termination phase: Saturation
% 1.34/1.06
% 1.34/1.06 % (22906)Memory used [KB]: 1797
% 1.34/1.06 % (22906)Time elapsed: 0.022 s
% 1.34/1.06 % (22906)Instructions burned: 38 (million)
% 1.34/1.06 % (22906)------------------------------
% 1.34/1.06 % (22906)------------------------------
% 1.34/1.06 % (22915)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2993ds/54Mi)
% 1.34/1.07 % (22915)Refutation not found, incomplete strategy% (22915)------------------------------
% 1.34/1.07 % (22915)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.07 % (22915)Termination reason: Refutation not found, incomplete strategy
% 1.34/1.07
% 1.34/1.07 % (22915)Memory used [KB]: 1093
% 1.34/1.07 % (22915)Time elapsed: 0.004 s
% 1.34/1.07 % (22915)Instructions burned: 5 (million)
% 1.34/1.07 % (22915)------------------------------
% 1.34/1.07 % (22915)------------------------------
% 1.34/1.07 % (22913)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2993ds/132Mi)
% 1.34/1.07 % (22913)Refutation not found, incomplete strategy% (22913)------------------------------
% 1.34/1.07 % (22913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.07 % (22913)Termination reason: Refutation not found, incomplete strategy
% 1.34/1.07
% 1.34/1.07 % (22913)Memory used [KB]: 1126
% 1.34/1.07 % (22913)Time elapsed: 0.025 s
% 1.34/1.07 % (22913)Instructions burned: 10 (million)
% 1.34/1.07 % (22916)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2993ds/82Mi)
% 1.34/1.07 % (22913)------------------------------
% 1.34/1.07 % (22913)------------------------------
% 1.34/1.07 % (22916)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.34/1.07 % (22911)Instruction limit reached!
% 1.34/1.07 % (22911)------------------------------
% 1.34/1.07 % (22911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.07 % (22911)Termination reason: Unknown
% 1.34/1.07 % (22911)Termination phase: Saturation
% 1.34/1.07
% 1.34/1.07 % (22911)Memory used [KB]: 1430
% 1.34/1.07 % (22911)Time elapsed: 0.021 s
% 1.34/1.07 % (22911)Instructions burned: 33 (million)
% 1.34/1.07 % (22911)------------------------------
% 1.34/1.07 % (22911)------------------------------
% 2.38/1.08 % (22905)Instruction limit reached!
% 2.38/1.08 % (22905)------------------------------
% 2.38/1.08 % (22905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.08 % (22905)Termination reason: Unknown
% 2.38/1.08 % (22905)Termination phase: Saturation
% 2.38/1.08
% 2.38/1.08 % (22905)Memory used [KB]: 1202
% 2.38/1.08 % (22905)Time elapsed: 0.041 s
% 2.38/1.08 % (22905)Instructions burned: 81 (million)
% 2.38/1.08 % (22905)------------------------------
% 2.38/1.08 % (22905)------------------------------
% 2.38/1.08 % (22919)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2993ds/177Mi)
% 2.38/1.08 % (22908)Instruction limit reached!
% 2.38/1.08 % (22908)------------------------------
% 2.38/1.08 % (22908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.08 % (22908)Termination reason: Unknown
% 2.38/1.08 % (22908)Termination phase: Saturation
% 2.38/1.08
% 2.38/1.08 % (22908)Memory used [KB]: 1665
% 2.38/1.08 % (22908)Time elapsed: 0.029 s
% 2.38/1.08 % (22908)Instructions burned: 48 (million)
% 2.38/1.08 % (22908)------------------------------
% 2.38/1.08 % (22908)------------------------------
% 2.38/1.08 % (22917)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2993ds/119Mi)
% 2.38/1.08 % (22920)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2993ds/117Mi)
% 2.38/1.09 % Exception at run slice level
% 2.38/1.09 User error: Immediate (shared) subterms of term/literal app_2E2(X2,c_2Ebool_2E_2F_5C_2E0(X0,X1),X3,X4) have different types/not well-typed!
% 2.38/1.09 % (22921)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2993ds/49Mi)
% 2.38/1.10 % (22864)Instruction limit reached!
% 2.38/1.10 % (22864)------------------------------
% 2.38/1.10 % (22864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.10 % (22864)Termination reason: Unknown
% 2.38/1.10 % (22864)Termination phase: Saturation
% 2.38/1.10
% 2.38/1.10 % (22864)Memory used [KB]: 3339
% 2.38/1.10 % (22864)Time elapsed: 0.241 s
% 2.38/1.10 % (22864)Instructions burned: 518 (million)
% 2.38/1.10 % (22864)------------------------------
% 2.38/1.10 % (22864)------------------------------
% 2.38/1.11 % (22925)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2992ds/149Mi)
% 2.38/1.11 % (22925)Refutation not found, incomplete strategy% (22925)------------------------------
% 2.38/1.11 % (22925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.11 % (22925)Termination reason: Refutation not found, incomplete strategy
% 2.38/1.11
% 2.38/1.11 % (22925)Memory used [KB]: 1186
% 2.38/1.11 % (22925)Time elapsed: 0.008 s
% 2.38/1.11 % (22925)Instructions burned: 13 (million)
% 2.38/1.11 % (22925)------------------------------
% 2.38/1.11 % (22925)------------------------------
% 2.38/1.11 % (22923)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2993ds/51Mi)
% 2.38/1.11 % (22927)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on Vampire---4 for (2992ds/56Mi)
% 2.38/1.12 % (22921)Instruction limit reached!
% 2.38/1.12 % (22921)------------------------------
% 2.38/1.12 % (22921)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.12 % (22921)Termination reason: Unknown
% 2.38/1.12 % (22921)Termination phase: Saturation
% 2.38/1.12
% 2.38/1.12 % (22921)Memory used [KB]: 1529
% 2.38/1.12 % (22921)Time elapsed: 0.030 s
% 2.38/1.12 % (22921)Instructions burned: 50 (million)
% 2.38/1.12 % (22921)------------------------------
% 2.38/1.12 % (22921)------------------------------
% 2.38/1.12 % (22916)Instruction limit reached!
% 2.38/1.12 % (22916)------------------------------
% 2.38/1.12 % (22916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.12 % (22916)Termination reason: Unknown
% 2.38/1.12 % (22916)Termination phase: Saturation
% 2.38/1.12
% 2.38/1.12 % (22916)Memory used [KB]: 1631
% 2.38/1.12 % (22916)Time elapsed: 0.049 s
% 2.38/1.12 % (22916)Instructions burned: 83 (million)
% 2.38/1.12 % (22916)------------------------------
% 2.38/1.12 % (22916)------------------------------
% 2.38/1.12 % (22929)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on Vampire---4 for (2992ds/289Mi)
% 2.38/1.12 % (22929)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.38/1.13 % (22923)Instruction limit reached!
% 2.38/1.13 % (22923)------------------------------
% 2.38/1.13 % (22923)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.13 % (22923)Termination reason: Unknown
% 2.38/1.13 % (22923)Termination phase: Saturation
% 2.38/1.13
% 2.38/1.13 % (22923)Memory used [KB]: 1306
% 2.38/1.13 % (22923)Time elapsed: 0.048 s
% 2.38/1.13 % (22923)Instructions burned: 51 (million)
% 2.38/1.13 % (22923)------------------------------
% 2.38/1.13 % (22923)------------------------------
% 2.38/1.13 % (22930)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=206:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on Vampire---4 for (2992ds/206Mi)
% 2.38/1.13 % (22930)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.38/1.14 % (22917)Instruction limit reached!
% 2.38/1.14 % (22917)------------------------------
% 2.38/1.14 % (22917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.14 % (22917)Termination reason: Unknown
% 2.38/1.14 % (22917)Termination phase: Saturation
% 2.38/1.14
% 2.38/1.14 % (22917)Memory used [KB]: 1650
% 2.38/1.14 % (22917)Time elapsed: 0.059 s
% 2.38/1.14 % (22917)Instructions burned: 120 (million)
% 2.38/1.14 % (22917)------------------------------
% 2.38/1.14 % (22917)------------------------------
% 2.38/1.14 % (22935)lrs+1011_1:1_to=lpo:drc=off:sil=2000:tgt=full:i=1483:fd=preordered_0 on Vampire---4 for (2992ds/1483Mi)
% 2.38/1.14 % (22927)Instruction limit reached!
% 2.38/1.14 % (22927)------------------------------
% 2.38/1.14 % (22927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.14 % (22927)Termination reason: Unknown
% 2.38/1.14 % (22927)Termination phase: Saturation
% 2.38/1.14
% 2.38/1.14 % (22927)Memory used [KB]: 1359
% 2.38/1.14 % (22927)Time elapsed: 0.028 s
% 2.38/1.14 % (22927)Instructions burned: 58 (million)
% 2.38/1.14 % (22927)------------------------------
% 2.38/1.14 % (22927)------------------------------
% 2.38/1.14 % (22901)Instruction limit reached!
% 2.38/1.14 % (22901)------------------------------
% 2.38/1.14 % (22901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.14 % (22901)Termination reason: Unknown
% 2.38/1.14 % (22901)Termination phase: Saturation
% 2.38/1.14
% 2.38/1.14 % (22901)Memory used [KB]: 2069
% 2.38/1.14 % (22901)Time elapsed: 0.142 s
% 2.38/1.14 % (22901)Instructions burned: 361 (million)
% 2.38/1.14 % (22901)------------------------------
% 2.38/1.14 % (22901)------------------------------
% 2.38/1.14 % (22933)ott+1004_1:2_bsr=unit_only:slsqr=1,8:to=lpo:sil=2000:plsqc=2:plsq=on:sp=reverse_frequency:acc=on:nwc=6.4:slsq=on:st=2.0:i=50:s2at=3.0:bd=off:ins=4:ss=axioms:sgt=10:plsql=on:rawr=on:aer=off:slsqc=2:afp=4000:afq=2.0:bce=on:gs=on:lma=on:br=off:gsaa=full_model:add=off_0 on Vampire---4 for (2992ds/50Mi)
% 2.38/1.14 % (22937)dis+1010_1:3_sil=2000:tgt=ground:sp=const_max:nwc=5.0:s2a=on:i=67:nm=16:av=off:bd=off_0 on Vampire---4 for (2992ds/67Mi)
% 2.38/1.16 % (22933)Instruction limit reached!
% 2.38/1.16 % (22933)------------------------------
% 2.38/1.16 % (22933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.16 % (22933)Termination reason: Unknown
% 2.38/1.16 % (22933)Termination phase: Saturation
% 2.38/1.16
% 2.38/1.16 % (22933)Memory used [KB]: 1636
% 2.38/1.16 % (22933)Time elapsed: 0.047 s
% 2.38/1.16 % (22933)Instructions burned: 51 (million)
% 2.38/1.16 % (22933)------------------------------
% 2.38/1.16 % (22933)------------------------------
% 2.38/1.16 % (22938)lrs+1011_1:1_sil=64000:tgt=full:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=on:lsd=20:st=5.0:i=67:sd=2:nm=4:av=off:fsr=off:ss=axioms:er=tagged:gs=on:sgt=8:nwc=3.0:bd=off_0 on Vampire---4 for (2992ds/67Mi)
% 2.38/1.17 % (22938)Refutation not found, incomplete strategy% (22938)------------------------------
% 2.38/1.17 % (22938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.17 % (22938)Termination reason: Refutation not found, incomplete strategy
% 2.38/1.17
% 2.38/1.17 % (22938)Memory used [KB]: 1172
% 2.38/1.17 % (22938)Time elapsed: 0.033 s
% 2.38/1.17 % (22938)Instructions burned: 11 (million)
% 2.38/1.17 % (22938)------------------------------
% 2.38/1.17 % (22938)------------------------------
% 2.38/1.17 % (22942)dis+1002_1:1024_sil=2000:sac=on:slsq=on:i=52:nm=16:sfv=off:slsqc=1:urr=ec_only:bd=off_0 on Vampire---4 for (2992ds/52Mi)
% 2.38/1.17 % (22919)Instruction limit reached!
% 2.38/1.17 % (22919)------------------------------
% 2.38/1.17 % (22919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/1.17 % (22919)Termination reason: Unknown
% 2.38/1.17 % (22919)Termination phase: Saturation
% 2.38/1.17
% 2.38/1.17 % (22919)Memory used [KB]: 2059
% 2.38/1.17 % (22919)Time elapsed: 0.094 s
% 2.38/1.17 % (22919)Instructions burned: 178 (million)
% 2.38/1.17 % (22919)------------------------------
% 2.38/1.17 % (22919)------------------------------
% 2.38/1.17 % (22944)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:i=366:sd=2:ss=axioms_0 on Vampire---4 for (2992ds/366Mi)
% 2.93/1.17 % (22937)Instruction limit reached!
% 2.93/1.17 % (22937)------------------------------
% 2.93/1.17 % (22937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.93/1.17 % (22937)Termination reason: Unknown
% 2.93/1.17 % (22937)Termination phase: Saturation
% 2.93/1.17
% 2.93/1.17 % (22937)Memory used [KB]: 1327
% 2.93/1.17 % (22937)Time elapsed: 0.032 s
% 2.93/1.17 % (22937)Instructions burned: 68 (million)
% 2.93/1.17 % (22937)------------------------------
% 2.93/1.17 % (22937)------------------------------
% 2.93/1.18 % (22944)Refutation not found, incomplete strategy% (22944)------------------------------
% 2.93/1.18 % (22944)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.93/1.18 % (22944)Termination reason: Refutation not found, incomplete strategy
% 2.93/1.18
% 2.93/1.18 % (22944)Memory used [KB]: 1153
% 2.93/1.18 % (22944)Time elapsed: 0.005 s
% 2.93/1.18 % (22944)Instructions burned: 6 (million)
% 2.93/1.18 % (22944)------------------------------
% 2.93/1.18 % (22944)------------------------------
% 2.93/1.18 % (22945)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=863:ss=axioms:aac=none:br=off:bd=preordered_0 on Vampire---4 for (2992ds/863Mi)
% 2.93/1.18 % (22945)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 2.93/1.18 % (22947)lrs+1011_1:1_sil=16000:fde=unused:plsqc=1:plsq=on:plsqr=32,1:sos=on:nwc=10.0:i=163:kws=frequency:nm=2:lsd=1:bd=off_0 on Vampire---4 for (2992ds/163Mi)
% 2.93/1.19 % (22942)Instruction limit reached!
% 2.93/1.19 % (22942)------------------------------
% 2.93/1.19 % (22942)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.93/1.19 % (22942)Termination reason: Unknown
% 2.93/1.19 % (22942)Termination phase: Saturation
% 2.93/1.19
% 2.93/1.19 % (22942)Memory used [KB]: 1346
% 2.93/1.19 % (22942)Time elapsed: 0.040 s
% 2.93/1.19 % (22942)Instructions burned: 53 (million)
% 2.93/1.19 % (22942)------------------------------
% 2.93/1.19 % (22942)------------------------------
% 2.93/1.19 % (22947)Refutation not found, incomplete strategy% (22947)------------------------------
% 2.93/1.19 % (22947)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.93/1.19 % (22947)Termination reason: Refutation not found, incomplete strategy
% 2.93/1.19
% 2.93/1.19 % (22947)Memory used [KB]: 1183
% 2.93/1.19 % (22947)Time elapsed: 0.008 s
% 2.93/1.19 % (22947)Instructions burned: 12 (million)
% 2.93/1.19 % (22948)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=77:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on Vampire---4 for (2992ds/77Mi)
% 2.93/1.19 % (22947)------------------------------
% 2.93/1.19 % (22947)------------------------------
% 2.93/1.19 % (22948)Refutation not found, incomplete strategy% (22948)------------------------------
% 2.93/1.19 % (22948)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.93/1.19 % (22948)Termination reason: Refutation not found, incomplete strategy
% 2.93/1.19
% 2.93/1.19 % (22948)Memory used [KB]: 1154
% 2.93/1.19 % (22948)Time elapsed: 0.032 s
% 2.93/1.19 % (22948)Instructions burned: 7 (million)
% 2.93/1.19 % (22948)------------------------------
% 2.93/1.19 % (22948)------------------------------
% 2.93/1.19 % (22949)lrs-1010_1:8_sil=2000:sos=on:i=1548:sd=1:ins=3:ss=included_0 on Vampire---4 for (2992ds/1548Mi)
% 2.93/1.19 % (22950)lrs+1010_974213:1048576_nwc=9.0:s2a=on:i=76:bd=off:lwlo=on:fd=off:sil=256000:s2agt=10:sims=off:nm=9:sp=const_min:rp=on:er=known:cond=fast:bce=on:abs=on:irw=on:amm=sco:afp=2000:updr=off:add=off:to=lpo:awrs=decay:awrsf=260:rawr=on:afq=2.0:uhcvi=on_0 on Vampire---4 for (2992ds/76Mi)
% 2.93/1.21 % (22952)dis+1010_111129:1048576_sfv=off:drc=encompass:sil=2000:tgt=full:sp=reverse_arity:spb=goal:rnwc=on:fd=preordered:rp=on:nwc=6.5667:i=1376:kws=arity_squared:bd=off:nm=0:uhcvi=on:rawr=on:av=off:erd=off:cond=on:lcm=reverse_0 on Vampire---4 for (2991ds/1376Mi)
% 3.04/1.23 % (22945)First to succeed.
% 3.04/1.23 % (22945)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22839"
% 3.06/1.23 % (22945)Refutation found. Thanks to Tanya!
% 3.06/1.23 % SZS status Theorem for Vampire---4
% 3.06/1.23 % SZS output start Proof for Vampire---4
% 3.06/1.23 tff(type_def_5, type, tyop_2Emin_2Ebool: $tType).
% 3.06/1.23 tff(type_def_6, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 3.06/1.23 tff(type_def_7, type, tyop_2Eoption_2Eoption: $tType > $tType).
% 3.06/1.23 tff(type_def_8, type, sK0: $tType).
% 3.06/1.23 tff(func_def_0, type, app_2E2: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,X1) * X0) > X1)).
% 3.06/1.23 tff(func_def_1, type, combin_i_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(X0,X0))).
% 3.06/1.23 tff(func_def_2, type, combin_k_2E0: !>[X0: $tType, X1: $tType]:(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)))).
% 3.06/1.23 tff(func_def_3, type, combin_s_2E0: !>[X0: $tType, X1: $tType, X2: $tType]:(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))))).
% 3.06/1.23 tff(func_def_4, type, c_2Ebool_2E_21_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool))).
% 3.06/1.23 tff(func_def_5, type, c_2Ebool_2E_21_2E1: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > tyop_2Emin_2Ebool)).
% 3.06/1.23 tff(func_def_6, type, c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))).
% 3.06/1.23 tff(func_def_7, type, c_2Ebool_2E_2F_5C_2E2: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool).
% 3.06/1.23 tff(func_def_8, type, c_2Emin_2E_3D_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)))).
% 3.06/1.23 tff(func_def_9, type, c_2Emin_2E_3D_2E2: !>[X0: $tType]:((X0 * X0) > tyop_2Emin_2Ebool)).
% 3.06/1.23 tff(func_def_10, type, c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))).
% 3.06/1.23 tff(func_def_11, type, c_2Emin_2E_3D_3D_3E_2E2: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool).
% 3.06/1.23 tff(func_def_12, type, c_2Ebool_2E_3F_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool))).
% 3.06/1.23 tff(func_def_13, type, c_2Ebool_2E_3F_2E1: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > tyop_2Emin_2Ebool)).
% 3.06/1.23 tff(func_def_14, type, c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool).
% 3.06/1.23 tff(func_def_15, type, c_2Eoption_2EIS__NONE_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool))).
% 3.06/1.23 tff(func_def_16, type, c_2Eoption_2EIS__NONE_2E1: !>[X0: $tType]:((tyop_2Eoption_2Eoption(X0)) > tyop_2Emin_2Ebool)).
% 3.06/1.23 tff(func_def_17, type, c_2Eoption_2EIS__SOME_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool))).
% 3.06/1.23 tff(func_def_18, type, c_2Eoption_2EIS__SOME_2E1: !>[X0: $tType]:((tyop_2Eoption_2Eoption(X0)) > tyop_2Emin_2Ebool)).
% 3.06/1.23 tff(func_def_19, type, c_2Eoption_2ENONE_2E0: !>[X0: $tType]:(tyop_2Eoption_2Eoption(X0))).
% 3.06/1.23 tff(func_def_20, type, c_2Eoption_2EOPTION__JOIN_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),tyop_2Eoption_2Eoption(X0)))).
% 3.06/1.23 tff(func_def_21, type, c_2Eoption_2EOPTION__JOIN_2E1: !>[X0: $tType]:((tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0))) > tyop_2Eoption_2Eoption(X0))).
% 3.06/1.23 tff(func_def_22, type, c_2Eoption_2EOPTION__MAP_2E0: !>[X0: $tType, X1: $tType]:(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Eoption_2Eoption(X1))))).
% 3.06/1.23 tff(func_def_23, type, c_2Eoption_2EOPTION__MAP_2E2: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,X1) * tyop_2Eoption_2Eoption(X0)) > tyop_2Eoption_2Eoption(X1))).
% 3.06/1.23 tff(func_def_24, type, c_2Eoption_2EOPTREL_2E0: !>[X0: $tType, X1: $tType]:(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool))))).
% 3.06/1.23 tff(func_def_25, type, c_2Eoption_2EOPTREL_2E3: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)) * tyop_2Eoption_2Eoption(X0) * tyop_2Eoption_2Eoption(X1)) > tyop_2Emin_2Ebool)).
% 3.06/1.23 tff(func_def_26, type, c_2Eoption_2ESOME_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)))).
% 3.06/1.23 tff(func_def_27, type, c_2Eoption_2ESOME_2E1: !>[X0: $tType]:((X0) > tyop_2Eoption_2Eoption(X0))).
% 3.06/1.23 tff(func_def_28, type, c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool).
% 3.06/1.23 tff(func_def_29, type, c_2Eoption_2ETHE_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),X0))).
% 3.06/1.23 tff(func_def_30, type, c_2Eoption_2ETHE_2E1: !>[X0: $tType]:((tyop_2Eoption_2Eoption(X0)) > X0)).
% 3.06/1.23 tff(func_def_31, type, c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))).
% 3.06/1.23 tff(func_def_32, type, c_2Ebool_2E_5C_2F_2E2: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool).
% 3.06/1.23 tff(func_def_33, type, c_2Eoption_2Eoption__CASE_2E0: !>[X0: $tType, X1: $tType]:(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),X1))))).
% 3.06/1.23 tff(func_def_34, type, c_2Eoption_2Eoption__CASE_2E3: !>[X0: $tType, X1: $tType]:((tyop_2Eoption_2Eoption(X0) * X1 * tyop_2Emin_2Efun(X0,X1)) > X1)).
% 3.06/1.23 tff(func_def_35, type, c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)).
% 3.06/1.23 tff(func_def_36, type, c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool).
% 3.06/1.23 tff(func_def_37, type, sK1: sK0).
% 3.06/1.23 tff(func_def_38, type, sK2: sK0).
% 3.06/1.23 tff(func_def_39, type, sK3: tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool))).
% 3.06/1.23 tff(func_def_40, type, sK4: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1)) > X0)).
% 3.06/1.23 tff(func_def_41, type, sK5: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)) * tyop_2Eoption_2Eoption(X0) * tyop_2Eoption_2Eoption(X1)) > X0)).
% 3.06/1.23 tff(func_def_42, type, sK6: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)) * tyop_2Eoption_2Eoption(X0) * tyop_2Eoption_2Eoption(X1)) > X1)).
% 3.06/1.23 tff(pred_def_1, type, p: tyop_2Emin_2Ebool > $o).
% 3.06/1.23 tff(f979,plain,(
% 3.06/1.23 $false),
% 3.06/1.23 inference(avatar_sat_refutation,[],[f269,f276,f456,f482,f505,f541,f977])).
% 3.06/1.23 tff(f977,plain,(
% 3.06/1.23 spl7_4 | spl7_8),
% 3.06/1.23 inference(avatar_contradiction_clause,[],[f976])).
% 3.06/1.23 tff(f976,plain,(
% 3.06/1.23 $false | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(trivial_inequality_removal,[],[f975])).
% 3.06/1.23 tff(f975,plain,(
% 3.06/1.23 app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),c_2Ebool_2ET_2E0) != app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),c_2Ebool_2ET_2E0) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(forward_demodulation,[],[f556,f884])).
% 3.06/1.23 tff(f884,plain,(
% 3.06/1.23 c_2Ebool_2ET_2E0 = c_2Ebool_2EF_2E0 | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(forward_demodulation,[],[f883,f547])).
% 3.06/1.23 tff(f547,plain,(
% 3.06/1.23 c_2Ebool_2EF_2E0 = app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) | spl7_8),
% 3.06/1.23 inference(unit_resulting_resolution,[],[f245,f504,f283])).
% 3.06/1.23 tff(f283,plain,(
% 3.06/1.23 ( ! [X0 : tyop_2Emin_2Ebool,X1 : tyop_2Emin_2Ebool] : (~p(X0) | c_2Ebool_2EF_2E0 = X1 | X0 = X1) )),
% 3.06/1.23 inference(superposition,[],[f118,f107])).
% 3.06/1.23 tff(f107,plain,(
% 3.06/1.23 ( ! [X0 : tyop_2Emin_2Ebool] : (c_2Ebool_2ET_2E0 = X0 | ~p(X0)) )),
% 3.06/1.23 inference(cnf_transformation,[],[f84])).
% 3.06/1.23 tff(f84,plain,(
% 3.06/1.23 ! [X0 : tyop_2Emin_2Ebool] : ((c_2Ebool_2EF_2E0 = X0 | p(X0)) & (~p(X0) | c_2Ebool_2EF_2E0 != X0) & (c_2Ebool_2EF_2E0 = X0 | p(X0)) & (~p(X0) | c_2Ebool_2EF_2E0 != X0) & (c_2Ebool_2ET_2E0 = X0 | ~p(X0)) & (p(X0) | c_2Ebool_2ET_2E0 != X0) & (c_2Ebool_2ET_2E0 = X0 | ~p(X0)) & (p(X0) | c_2Ebool_2ET_2E0 != X0))),
% 3.06/1.23 inference(flattening,[],[f83])).
% 3.06/1.23 tff(f83,plain,(
% 3.06/1.23 ! [X0 : tyop_2Emin_2Ebool] : (((c_2Ebool_2EF_2E0 = X0 | p(X0)) & (~p(X0) | c_2Ebool_2EF_2E0 != X0)) & ((c_2Ebool_2EF_2E0 = X0 | p(X0)) & (~p(X0) | c_2Ebool_2EF_2E0 != X0)) & ((c_2Ebool_2ET_2E0 = X0 | ~p(X0)) & (p(X0) | c_2Ebool_2ET_2E0 != X0)) & ((c_2Ebool_2ET_2E0 = X0 | ~p(X0)) & (p(X0) | c_2Ebool_2ET_2E0 != X0)))),
% 3.06/1.23 inference(nnf_transformation,[],[f49])).
% 3.06/1.23 tff(f49,plain,(
% 3.06/1.23 ! [X0 : tyop_2Emin_2Ebool] : ((c_2Ebool_2EF_2E0 = X0 <=> ~p(X0)) & (c_2Ebool_2EF_2E0 = X0 <=> ~p(X0)) & (c_2Ebool_2ET_2E0 = X0 <=> p(X0)) & (c_2Ebool_2ET_2E0 = X0 <=> p(X0)))),
% 3.06/1.23 inference(rectify,[],[f43])).
% 3.06/1.23 tff(f43,axiom,(
% 3.06/1.23 ! [X8 : tyop_2Emin_2Ebool] : ((c_2Ebool_2EF_2E0 = X8 <=> ~p(X8)) & (c_2Ebool_2EF_2E0 = X8 <=> ~p(X8)) & (c_2Ebool_2ET_2E0 = X8 <=> p(X8)) & (c_2Ebool_2ET_2E0 = X8 <=> p(X8)))),
% 3.06/1.23 file('/export/starexec/sandbox/tmp/tmp.8A8cfzgwlW/Vampire---4.8_22588',thm_2Ebool_2EEQ__CLAUSES)).
% 3.06/1.23 tff(f118,plain,(
% 3.06/1.23 ( ! [X0 : tyop_2Emin_2Ebool] : (c_2Ebool_2ET_2E0 = X0 | c_2Ebool_2EF_2E0 = X0) )),
% 3.06/1.23 inference(cnf_transformation,[],[f52])).
% 3.06/1.23 tff(f52,plain,(
% 3.06/1.23 ! [X0 : tyop_2Emin_2Ebool] : (c_2Ebool_2EF_2E0 = X0 | c_2Ebool_2ET_2E0 = X0)),
% 3.06/1.23 inference(rectify,[],[f5])).
% 3.06/1.23 tff(f5,axiom,(
% 3.06/1.23 ! [X8 : tyop_2Emin_2Ebool] : (c_2Ebool_2EF_2E0 = X8 | c_2Ebool_2ET_2E0 = X8)),
% 3.06/1.23 file('/export/starexec/sandbox/tmp/tmp.8A8cfzgwlW/Vampire---4.8_22588',thm_2Eextra_2Dho_2Ebool__cases__ax)).
% 3.06/1.23 tff(f504,plain,(
% 3.06/1.23 c_2Ebool_2ET_2E0 != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) | spl7_8),
% 3.06/1.23 inference(avatar_component_clause,[],[f503])).
% 3.06/1.23 tff(f503,plain,(
% 3.06/1.23 spl7_8 <=> c_2Ebool_2ET_2E0 = app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1)),
% 3.06/1.23 introduced(avatar_definition,[new_symbols(naming,[spl7_8])])).
% 3.06/1.23 tff(f245,plain,(
% 3.06/1.23 p(c_2Ebool_2ET_2E0)),
% 3.06/1.23 inference(equality_resolution,[],[f106])).
% 3.06/1.23 tff(f106,plain,(
% 3.06/1.23 ( ! [X0 : tyop_2Emin_2Ebool] : (p(X0) | c_2Ebool_2ET_2E0 != X0) )),
% 3.06/1.23 inference(cnf_transformation,[],[f84])).
% 3.06/1.23 tff(f883,plain,(
% 3.06/1.23 c_2Ebool_2ET_2E0 = app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(backward_demodulation,[],[f765,f866])).
% 3.06/1.23 tff(f866,plain,(
% 3.06/1.23 sK1 = sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(unit_resulting_resolution,[],[f589,f238])).
% 3.06/1.23 tff(f238,plain,(
% 3.06/1.23 ( ! [X0 : $tType,X26 : X0,X27 : X0] : (app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X26) != app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X27) | X26 = X27) )),
% 3.06/1.23 inference(definition_unfolding,[],[f130,f194,f194])).
% 3.06/1.23 tff(f194,plain,(
% 3.06/1.23 ( ! [X0 : $tType,X1 : X0] : (c_2Eoption_2ESOME_2E1(X0,X1) = app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X1)) )),
% 3.06/1.23 inference(cnf_transformation,[],[f64])).
% 3.06/1.23 tff(f64,plain,(
% 3.06/1.23 ! [X0 : $tType,X1 : X0] : c_2Eoption_2ESOME_2E1(X0,X1) = app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X1)),
% 3.06/1.23 inference(rectify,[],[f28])).
% 3.06/1.23 tff(f28,axiom,(
% 3.06/1.23 ! [X1 : $tType,X12 : X1] : c_2Eoption_2ESOME_2E1(X1,X12) = app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),X12)),
% 3.06/1.23 file('/export/starexec/sandbox/tmp/tmp.8A8cfzgwlW/Vampire---4.8_22588',arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27b)).
% 3.06/1.23 tff(f130,plain,(
% 3.06/1.23 ( ! [X0 : $tType,X26 : X0,X27 : X0] : (X26 = X27 | c_2Eoption_2ESOME_2E1(X0,X26) != c_2Eoption_2ESOME_2E1(X0,X27)) )),
% 3.06/1.23 inference(cnf_transformation,[],[f94])).
% 3.06/1.23 tff(f94,plain,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X2 : tyop_2Emin_2Efun(X0,X1),X3 : tyop_2Eoption_2Eoption(X0),X4 : X1] : (! [X5 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ESOME_2E1(tyop_2Eoption_2Eoption(X0),X5)) = X5 & c_2Eoption_2ENONE_2E0(X0) = c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ENONE_2E0(tyop_2Eoption_2Eoption(X0))) & ! [X6 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2ENONE_2E0(X1) = c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X6,c_2Eoption_2ENONE_2E0(X0)) & ! [X7 : tyop_2Emin_2Efun(X0,X1),X8 : X0] : c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X7,c_2Eoption_2ESOME_2E1(X0,X8)) = c_2Eoption_2ESOME_2E1(X1,app_2E2(X0,X1,X7,X8)) & ! [X9 : X0,X10 : X1,X11 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ESOME_2E1(X0,X9),X10,X11) = app_2E2(X0,X1,X11,X9) & ! [X12 : X1,X13 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ENONE_2E0(X0),X12,X13) = X12 & ! [X14 : tyop_2Eoption_2Eoption(X0)] : (c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X14,X3,c_2Eoption_2ESOME_2E0(X0)) = X14 | ~p(c_2Eoption_2EIS__SOME_2E1(X0,X14))) & ! [X15 : tyop_2Eoption_2Eoption(X0)] : (c_2Eoption_2Eoption__CASE_2E3(X0,X1,X15,X4,X2) = app_2E2(X0,X1,X2,c_2Eoption_2ETHE_2E1(X0,X15)) | ~p(c_2Eoption_2EIS__SOME_2E1(X0,X15))) & ! [X16 : tyop_2Eoption_2Eoption(X0)] : (c_2Eoption_2Eoption__CASE_2E3(X0,X1,X16,X4,X2) = X4 | ~p(c_2Eoption_2EIS__NONE_2E1(X0,X16))) & ! [X17 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X17,X17,c_2Eoption_2ESOME_2E0(X0)) = X17 & ! [X18 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X18,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E0(X0)) = X18 & ! [X19 : tyop_2Eoption_2Eoption(X0)] : (c_2Eoption_2ESOME_2E1(X0,c_2Eoption_2ETHE_2E1(X0,X19)) = X19 | ~p(c_2Eoption_2EIS__SOME_2E1(X0,X19))) & ! [X20 : tyop_2Eoption_2Eoption(X0)] : ((~p(c_2Eoption_2EIS__SOME_2E1(X0,X20)) | c_2Eoption_2ENONE_2E0(X0) != X20) & (c_2Eoption_2ENONE_2E0(X0) = X20 | p(c_2Eoption_2EIS__SOME_2E1(X0,X20)))) & ! [X21 : tyop_2Eoption_2Eoption(X0)] : ((p(c_2Eoption_2EIS__NONE_2E1(X0,X21)) | c_2Eoption_2ENONE_2E0(X0) != X21) & (c_2Eoption_2ENONE_2E0(X0) = X21 | ~p(c_2Eoption_2EIS__NONE_2E1(X0,X21)))) & c_2Ebool_2EF_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ENONE_2E0(X0)) & ! [X22 : X0] : c_2Ebool_2ET_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X22)) & ! [X23 : X0] : c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X23) & ! [X24 : X0] : c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X24) & ! [X25 : X0] : c_2Eoption_2ETHE_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X25)) = X25 & ! [X26 : X0,X27 : X0] : ((c_2Eoption_2ESOME_2E1(X0,X26) = c_2Eoption_2ESOME_2E1(X0,X27) | X26 != X27) & (X26 = X27 | c_2Eoption_2ESOME_2E1(X0,X26) != c_2Eoption_2ESOME_2E1(X0,X27))))),
% 3.06/1.23 inference(nnf_transformation,[],[f79])).
% 3.06/1.23 tff(f79,plain,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X2 : tyop_2Emin_2Efun(X0,X1),X3 : tyop_2Eoption_2Eoption(X0),X4 : X1] : (! [X5 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ESOME_2E1(tyop_2Eoption_2Eoption(X0),X5)) = X5 & c_2Eoption_2ENONE_2E0(X0) = c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ENONE_2E0(tyop_2Eoption_2Eoption(X0))) & ! [X6 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2ENONE_2E0(X1) = c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X6,c_2Eoption_2ENONE_2E0(X0)) & ! [X7 : tyop_2Emin_2Efun(X0,X1),X8 : X0] : c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X7,c_2Eoption_2ESOME_2E1(X0,X8)) = c_2Eoption_2ESOME_2E1(X1,app_2E2(X0,X1,X7,X8)) & ! [X9 : X0,X10 : X1,X11 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ESOME_2E1(X0,X9),X10,X11) = app_2E2(X0,X1,X11,X9) & ! [X12 : X1,X13 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ENONE_2E0(X0),X12,X13) = X12 & ! [X14 : tyop_2Eoption_2Eoption(X0)] : (c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X14,X3,c_2Eoption_2ESOME_2E0(X0)) = X14 | ~p(c_2Eoption_2EIS__SOME_2E1(X0,X14))) & ! [X15 : tyop_2Eoption_2Eoption(X0)] : (c_2Eoption_2Eoption__CASE_2E3(X0,X1,X15,X4,X2) = app_2E2(X0,X1,X2,c_2Eoption_2ETHE_2E1(X0,X15)) | ~p(c_2Eoption_2EIS__SOME_2E1(X0,X15))) & ! [X16 : tyop_2Eoption_2Eoption(X0)] : (c_2Eoption_2Eoption__CASE_2E3(X0,X1,X16,X4,X2) = X4 | ~p(c_2Eoption_2EIS__NONE_2E1(X0,X16))) & ! [X17 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X17,X17,c_2Eoption_2ESOME_2E0(X0)) = X17 & ! [X18 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X18,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E0(X0)) = X18 & ! [X19 : tyop_2Eoption_2Eoption(X0)] : (c_2Eoption_2ESOME_2E1(X0,c_2Eoption_2ETHE_2E1(X0,X19)) = X19 | ~p(c_2Eoption_2EIS__SOME_2E1(X0,X19))) & ! [X20 : tyop_2Eoption_2Eoption(X0)] : (~p(c_2Eoption_2EIS__SOME_2E1(X0,X20)) <=> c_2Eoption_2ENONE_2E0(X0) = X20) & ! [X21 : tyop_2Eoption_2Eoption(X0)] : (p(c_2Eoption_2EIS__NONE_2E1(X0,X21)) <=> c_2Eoption_2ENONE_2E0(X0) = X21) & c_2Ebool_2EF_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ENONE_2E0(X0)) & ! [X22 : X0] : c_2Ebool_2ET_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X22)) & ! [X23 : X0] : c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X23) & ! [X24 : X0] : c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X24) & ! [X25 : X0] : c_2Eoption_2ETHE_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X25)) = X25 & ! [X26 : X0,X27 : X0] : (c_2Eoption_2ESOME_2E1(X0,X26) = c_2Eoption_2ESOME_2E1(X0,X27) <=> X26 = X27))),
% 3.06/1.23 inference(ennf_transformation,[],[f56])).
% 3.06/1.23 tff(f56,plain,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X2 : tyop_2Emin_2Efun(X0,X1),X3 : tyop_2Eoption_2Eoption(X0),X4 : X1] : (! [X5 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ESOME_2E1(tyop_2Eoption_2Eoption(X0),X5)) = X5 & c_2Eoption_2ENONE_2E0(X0) = c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ENONE_2E0(tyop_2Eoption_2Eoption(X0))) & ! [X6 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2ENONE_2E0(X1) = c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X6,c_2Eoption_2ENONE_2E0(X0)) & ! [X7 : tyop_2Emin_2Efun(X0,X1),X8 : X0] : c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X7,c_2Eoption_2ESOME_2E1(X0,X8)) = c_2Eoption_2ESOME_2E1(X1,app_2E2(X0,X1,X7,X8)) & ! [X9 : X0,X10 : X1,X11 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ESOME_2E1(X0,X9),X10,X11) = app_2E2(X0,X1,X11,X9) & ! [X12 : X1,X13 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ENONE_2E0(X0),X12,X13) = X12 & ! [X14 : tyop_2Eoption_2Eoption(X0)] : (p(c_2Eoption_2EIS__SOME_2E1(X0,X14)) => c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X14,X3,c_2Eoption_2ESOME_2E0(X0)) = X14) & ! [X15 : tyop_2Eoption_2Eoption(X0)] : (p(c_2Eoption_2EIS__SOME_2E1(X0,X15)) => c_2Eoption_2Eoption__CASE_2E3(X0,X1,X15,X4,X2) = app_2E2(X0,X1,X2,c_2Eoption_2ETHE_2E1(X0,X15))) & ! [X16 : tyop_2Eoption_2Eoption(X0)] : (p(c_2Eoption_2EIS__NONE_2E1(X0,X16)) => c_2Eoption_2Eoption__CASE_2E3(X0,X1,X16,X4,X2) = X4) & ! [X17 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X17,X17,c_2Eoption_2ESOME_2E0(X0)) = X17 & ! [X18 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X18,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E0(X0)) = X18 & ! [X19 : tyop_2Eoption_2Eoption(X0)] : (p(c_2Eoption_2EIS__SOME_2E1(X0,X19)) => c_2Eoption_2ESOME_2E1(X0,c_2Eoption_2ETHE_2E1(X0,X19)) = X19) & ! [X20 : tyop_2Eoption_2Eoption(X0)] : (~p(c_2Eoption_2EIS__SOME_2E1(X0,X20)) <=> c_2Eoption_2ENONE_2E0(X0) = X20) & ! [X21 : tyop_2Eoption_2Eoption(X0)] : (p(c_2Eoption_2EIS__NONE_2E1(X0,X21)) <=> c_2Eoption_2ENONE_2E0(X0) = X21) & c_2Ebool_2EF_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ENONE_2E0(X0)) & ! [X22 : X0] : c_2Ebool_2ET_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X22)) & ! [X23 : X0] : c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X23) & ! [X24 : X0] : c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X24) & ! [X25 : X0] : c_2Eoption_2ETHE_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X25)) = X25 & ! [X26 : X0,X27 : X0] : (c_2Eoption_2ESOME_2E1(X0,X26) = c_2Eoption_2ESOME_2E1(X0,X27) <=> X26 = X27))),
% 3.06/1.23 inference(rectify,[],[f44])).
% 3.06/1.23 tff(f44,axiom,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X3 : tyop_2Emin_2Efun(X0,X1),X17 : tyop_2Eoption_2Eoption(X0),X18 : X1] : (! [X41 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ESOME_2E1(tyop_2Eoption_2Eoption(X0),X41)) = X41 & c_2Eoption_2ENONE_2E0(X0) = c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ENONE_2E0(tyop_2Eoption_2Eoption(X0))) & ! [X40 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X40,c_2Eoption_2ENONE_2E0(X0)) = c_2Eoption_2ENONE_2E0(X1) & ! [X38 : tyop_2Emin_2Efun(X0,X1),X39 : X0] : c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X38,c_2Eoption_2ESOME_2E1(X0,X39)) = c_2Eoption_2ESOME_2E1(X1,app_2E2(X0,X1,X38,X39)) & ! [X35 : X0,X36 : X1,X37 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ESOME_2E1(X0,X35),X36,X37) = app_2E2(X0,X1,X37,X35) & ! [X33 : X1,X34 : tyop_2Emin_2Efun(X0,X1)] : c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ENONE_2E0(X0),X33,X34) = X33 & ! [X32 : tyop_2Eoption_2Eoption(X0)] : (p(c_2Eoption_2EIS__SOME_2E1(X0,X32)) => c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X32,X17,c_2Eoption_2ESOME_2E0(X0)) = X32) & ! [X31 : tyop_2Eoption_2Eoption(X0)] : (p(c_2Eoption_2EIS__SOME_2E1(X0,X31)) => c_2% (22950)Instruction limit reached!
% 3.06/1.23 % (22950)------------------------------
% 3.06/1.23 % (22950)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.06/1.23 Eoption_2Eoption__CASE_2E3(X0,X1,X31,X18,X3) = app_2E2(X0,X1,X3,c_2Eoption_2ETHE_2E1(X0,X31))) & ! [X30 : tyop_2Eoption_2Eoption(X0)] : (p(c_2Eoption_2EIS__NONE_2E1(X0,X30)) => c_2Eoption_2Eoption__CASE_2E3(X0,X1,X30,X18,X3) = X18) & ! [X29 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X29,X29,c_2Eoption_2ESOME_2E0(X0)) = X29 & ! [X28 : tyop_2Eoption_2Eoption(X0)] : c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X28,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E0(X0)) = X28 & ! [X27 : tyop_2Eoption_2Eoption(X0)] : (p(c_2Eoption_2EIS__SOME_2E1(X0,X27)) => c_2Eoption_2ESOME_2E1(X0,c_2Eoption_2ETHE_2E1(X0,X27)) = X27) & ! [X26 : tyop_2Eoption_2Eoption(X0)] : (~p(c_2Eoption_2EIS__SOME_2E1(X0,X26)) <=> c_2Eoption_2ENONE_2E0(X0) = X26) & ! [X25 : tyop_2Eoption_2Eoption(X0)] : (p(c_2Eoption_2EIS__NONE_2E1(X0,X25)) <=> c_2Eoption_2ENONE_2E0(X0) = X25) & c_2Ebool_2EF_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ENONE_2E0(X0)) & ! [X24 : X0] : c_2Ebool_2ET_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X24)) & ! [X23 : X0] : c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X23) & ! [X22 : X0] : c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X22) & ! [X21 : X0] : c_2Eoption_2ETHE_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X21)) = X21 & ! [X19 : X0,X20 : X0] : (c_2Eoption_2ESOME_2E1(X0,X19) = c_2Eoption_2ESOME_2E1(X0,X20) <=> X19 = X20))),
% 3.06/1.23 file('/export/starexec/sandbox/tmp/tmp.8A8cfzgwlW/Vampire---4.8_22588',thm_2Eoption_2Eoption__CLAUSES)).
% 3.06/1.23 tff(f589,plain,(
% 3.06/1.23 app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(subsumption_resolution,[],[f588,f234])).
% 3.06/1.23 tff(f234,plain,(
% 3.06/1.23 ( ! [X0 : $tType,X23 : X0] : (c_2Eoption_2ENONE_2E0(X0) != app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X23)) )),
% 3.06/1.23 inference(definition_unfolding,[],[f134,f194])).
% 3.06/1.23 tff(f134,plain,(
% 3.06/1.23 ( ! [X0 : $tType,X23 : X0] : (c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X23)) )),
% 3.06/1.23 inference(cnf_transformation,[],[f94])).
% 3.06/1.23 tff(f588,plain,(
% 3.06/1.23 c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) | app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(subsumption_resolution,[],[f581,f245])).
% 3.06/1.23 tff(f581,plain,(
% 3.06/1.23 ~p(c_2Ebool_2ET_2E0) | c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) | app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(superposition,[],[f213,f563])).
% 3.06/1.23 tff(f563,plain,(
% 3.06/1.23 c_2Ebool_2ET_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(unit_resulting_resolution,[],[f559,f118])).
% 3.06/1.23 tff(f559,plain,(
% 3.06/1.23 c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_% (22950)Termination reason: Unknown
% 3.06/1.23 2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(backward_demodulation,[],[f268,f547])).
% 3.06/1.23 tff(f268,plain,(
% 3.06/1.23 app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) | spl7_4),
% 3.06/1.23 inference(avatar_component_clause,[],[f267])).
% 3.06/1.23 tff(f267,plain,(
% 3.06/1.23 spl7_4 <=> app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))),
% 3.06/1.23 introduced(avatar_definition,[new_symbols(naming,[spl7_4])])).
% 3.06/1.23 tff(f213,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (~p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4)) | c_2Eoption_2ENONE_2E0(X0) = X3 | app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),sK6(X0,X1,X2,X3,X4)) = X4) )),
% 3.06/1.23 inference(definition_unfolding,[],[f124,f194,f191])).
% 3.06/1.23 tff(f191,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4) = app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4)) )),
% 3.06/1.23 inference(cnf_transformation,[],[f61])).
% 3.06/1.23 tff(f61,plain,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4) = app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4)),
% 3.06/1.23 inference(rectify,[],[f26])).
% 3.06/1.23 tff(f26,axiom,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X12 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X13 : tyop_2Eoption_2Eoption(X0),X14 : tyop_2Eoption_2Eoption(X1)] : c_2Eoption_2EOPTREL_2E3(X0,X1,X% (22950)Termination phase: Saturation
% 3.06/1.23
% 3.06/1.23 % (22950)Memory used [KB]: 1615
% 3.06/1.23 12,X13,X14) = app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X12),X13),X14)),
% 3.06/1.23 file('/export/starexec/sandbox/tmp/tmp.8A8cfzgwlW/Vampire---4.8_22588',arityeq3_2Ec_2Eoption_2EOPTREL_2E3_2Emono_2EA_27a_20mono_2EA_27b)).
% 3.06/1.23 tff(f124,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (c_2Eoption_2ESOME_2E1(X1,sK6(X0,X1,X2,X3,X4)) = X4 | c_2Eoption_2ENONE_2E0(X0) = X3 | ~p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))) )),
% 3.06/1.23 inference(cnf_transformation,[],[f93])).
% 3.06/1.23 tff(f93,plain,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : ((p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) | (! [X5 : X0,X6 : X1] : (~p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) | c_2Eoption_2ESOME_2E1(X1,X6) != X4 | c_2Eoption_2ESOME_2E1(X0,X5) != X3) & (c_2Eoption_2ENONE_2E0(X1) != X4 | c_2Eoption_2ENONE_2E0(X0) != X3))) & ((p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,sK5(X0,X1,X2,X3,X4)),sK6(X0,X1,X2,X3,X4))) & c_2Eoption_2ESOME_2E1(X1,sK6(X0,X1,X2,X3,X4)) = X4 & c_2Eoption_2ESOME_2E1(X0,sK5(X0,X1,X2,X3,X4)) = X3) | (c_2Eoption_2ENONE_2E0(X1) = X4 & c_2Eoption_2ENONE_2E0(X0) = X3) | ~p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))))),
% 3.06/1.23 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f91,f92])).
% 3.06/1.23 tff(f92,plain,(
% 3.06/1.23 ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (? [X7 : X0,X8 : X1] : (p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X7),X8)) & c_2Eoption_2ESOME_2E1(X1,X8) = X4 & c_2Eoption_2ESOME_2E1(X0,X7) = X3) => (p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,sK5(X0,X1,X2,X3,X4)),sK6(X0,X1,X2,X3,X4))) & c_2Eoption_2ESOME_2E1(X1,sK6(X0,X1,X2,X3,X4)) = X4 & c_2Eoption_2ESOME_2E1(X0,sK5(X0,X1,X2,X3,X4)) = X3))),
% 3.06/1.23 introduced(choice_axiom,[])).
% 3.06/1.23 tff(f91,plain,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : ((p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) | (! [X5 : X0,X6 : X1] : (~p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) | c_2Eoption_2ESOME_2E1(X1,X6) != X4 | c_2Eoption_2ESOME_2E1(X0,X5) != X3) & (c_2Eoption_2ENONE_2E0(X1) != X4 | c_2Eoption_2ENONE_2E0(X0) != X3))) & (? [X7 : X0,X8 : X1] : (p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X7),X8)) & c_2Eoption_2ESOME_2E1(X1,X8) = X4 & c_2Eoption_2ESOME_2E1(X0,X7) = X3) | (c_2Eoption_2ENONE_2E0(X1) = X4 & c_2Eoption_2ENONE_2E0(X0) = X3) | ~p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))))),
% 3.06/1.23 inference(rectify,[],[f90])).
% 3.06/1.23 tff(f90,plain,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : ((p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) | (! [X5 : X0,X6 : X1] : (~p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) | c_2Eoption_2ESOME_2E1(X1,X6) != X4 | c_2Eoption_2ESOME_2E1(X0,X5) != X3) & (c_2Eoption_2ENONE_2E0(X1) != X4 | c_2Eoption_2ENONE_2E0(X0) != X3))) & (? [X5 : X0,X6 : X1] : (p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) & c_2Eoption_2ESOME_2E1(X1,X6) = X4 & c_2Eoption_2ESOME_2E1(X0,X5) = X3) | (c_2Eoption_2ENONE_2E0(X1) = X4 & c_2Eoption_2ENONE_2E0(X0) = X3) | ~p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))))),
% 3.06/1.23 inferen% (22950)Time elapsed: 0.052 s
% 3.06/1.23 ce(flattening,[],[f89])).
% 3.06/1.23 tff(f89,plain,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : ((p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) | (! [X5 : X0,X6 : X1] : (~p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) | c_2Eoption_2ESOME_2E1(X1,X6) != X4 | c_2Eoption_2ESOME_2E1(X0,X5) != X3) & (c_2Eoption_2ENONE_2E0(X1) != X4 | c_2Eoption_2ENONE_2E0(X0) != X3))) & ((? [X5 : X0,X6 : X1] : (p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) & c_2Eoption_2ESOME_2E1(X1,X6) = X4 & c_2Eoption_2ESOME_2E1(X0,X5) = X3) | (c_2Eoption_2ENONE_2E0(X1) = X4 & c_2Eoption_2ENONE_2E0(X0) = X3)) | ~p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))))),
% 3.06/1.23 inference(nnf_transformation,[],[f55])).
% 3.06/1.23 tff(f55,plain,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) <=> (? [X5 : X0,X6 : X1] : (p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) & c_2Eoption_2ESOME_2E1(X1,X6) = X4 & c_2Eoption_2ESOME_2E1(X0,X5) = X3) | (c_2Eoption_2ENONE_2E0(X1) = X4 & c_2Eoption_2ENONE_2E0(X0) = X3)))),
% 3.06/1.23 inference(rectify,[],[f45])).
% 3.06/1.23 tff(f45,axiom,(
% 3.06/1.23 ! [X0 : $tType,X1 : $tType,X42 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X11 : tyop_2Eoption_2Eoption(X0),X43 : tyop_2Eoption_2Eoption(X1)] : (p(c_2Eoption_2EOPTREL_2E3(X0,X1,X42,X11,X43)) <=> (? [X44 : X0,X45 : X1] : (p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X42,X44),X45)) & c_2Eoption_2ESOME_2E1(X1,X45) = X43 & c_2Eoption_2ESOME_2E1(X0,X44) = X11) | (c_2Eoption_2ENONE_2E0(X1) = X43 & c_2Eoption_2ENONE_2E0(X0) = X11)))),
% 3.06/1.23 file('/export/starexec/sandbox/tmp/tmp.8A8cfzgwlW/Vampire---4.8_22588',thm_2Eoption_2EOPTREL__def)).
% 3.06/1.23 tff(f765,plain,(
% 3.06/1.23 c_2Ebool_2ET_2E0 = app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(unit_resulting_resolution,[],[f665,f107])).
% 3.06/1.23 tff(f665,plain,(
% 3.06/1.23 p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)))) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(backward_demodulation,[],[f585,f654])).
% 3.06/1.23 tff(f654,plain,(
% 3.06/1.23 sK2 = sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(unit_resulting_resolution,[],[f587,f238])).
% 3.06/1.23 tff(f587,plain,(
% 3.06/1.23 app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(subsumption_resolution,[],[f586,f234])).
% 3.06/1.23 tff(f586,plain,(
% 3.06/1.23 c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) | app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(subsumption_resolution,[],[f579,f245])).
% 3.06/1.23 tff(f579,plain,(
% 3.06/1.23 ~p(c_2Ebool_2ET_2E0) | c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) | app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) = ap% (22950)Instructions burned: 77 (million)
% 3.06/1.23 % (22950)------------------------------
% 3.06/1.23 % (22950)------------------------------
% 3.06/1.23 p_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(superposition,[],[f215,f563])).
% 3.06/1.23 tff(f215,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (~p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4)) | c_2Eoption_2ENONE_2E0(X0) = X3 | app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),sK5(X0,X1,X2,X3,X4)) = X3) )),
% 3.06/1.23 inference(definition_unfolding,[],[f122,f194,f191])).
% 3.06/1.23 tff(f122,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (c_2Eoption_2ESOME_2E1(X0,sK5(X0,X1,X2,X3,X4)) = X3 | c_2Eoption_2ENONE_2E0(X0) = X3 | ~p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))) )),
% 3.06/1.23 inference(cnf_transformation,[],[f93])).
% 3.06/1.23 tff(f585,plain,(
% 3.06/1.23 p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)))) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(subsumption_resolution,[],[f584,f234])).
% 3.06/1.23 tff(f584,plain,(
% 3.06/1.23 c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) | p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)))) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(subsumption_resolution,[],[f577,f245])).
% 3.06/1.23 tff(f577,plain,(
% 3.06/1.23 ~p(c_2Ebool_2ET_2E0) | c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) | p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)))) | (spl7_4 | spl7_8)),
% 3.06/1.23 inference(superposition,[],[f211,f563])).
% 3.06/1.23 tff(f211,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (~p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4)) | c_2Eoption_2ENONE_2E0(X0) = X3 | p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,sK5(X0,X1,X2,X3,X4)),sK6(X0,X1,X2,X3,X4)))) )),
% 3.06/1.23 inference(definition_unfolding,[],[f126,f191])).
% 3.06/1.23 tff(f126,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,sK5(X0,X1,X2,X3,X4)),sK6(X0,X1,X2,X3,X4))) | c_2Eoption_2ENONE_2E0(X0) = X3 | ~p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))) )),
% 3.06/1.23 inference(cnf_transformation,[],[f93])).
% 3.06/1.23 tff(f556,plain,(
% 3.06/1.23 app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),c_2Ebool_2EF_2E0) != app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),c_2Ebool_2ET_2E0) | spl7_8),
% 3.06/1.23 inference(backward_demodulation,[],[f552,f547])).
% 3.06/1.23 tff(f552,plain,(
% 3.06/1.23 app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),c_2Ebool_2ET_2E0) != app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1)) | spl7_8),
% 3.06/1.23 inference(unit_resulting_resolution,[],[f504,f238])).
% 3.06/1.23 tff(f541,plain,(
% 3.06/1.23 spl7_4 | ~spl7_7),
% 3.06/1.23 inference(avatar_contradiction_clause,[],[f540])).
% 3.06/1.23 tff(f540,plain,(
% 3.06/1.23 $false | (spl7_4 | ~spl7_7)),
% 3.06/1.23 inference(subsumption_resolution,[],[f539,f245])).
% 3.06/1.23 tff(f539,plain,(
% 3.06/1.23 ~p(c_2Ebool_2ET_2E0) | (spl7_4 | ~spl7_7)),
% 3.06/1.23 inference(forward_demodulation,[],[f538,f508])).
% 3.06/1.23 tff(f508,plain,(
% 3.06/1.23 c_2Ebool_2ET_2E0 = app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) | (spl7_4 | ~spl7_7)),
% 3.06/1.23 inference(unit_resulting_resolution,[],[f507,f118])).
% 3.06/1.23 tff(f507,plain,(
% 3.06/1.23 c_2Ebool_2EF_2E0 != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) | (spl7_4 | ~spl7_7)),
% 3.06/1.23 inference(backward_demodulation,[],[f268,f501])).
% 3.06/1.23 tff(f501,plain,(
% 3.06/1.23 c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) | ~spl7_7),
% 3.06/1.23 inference(avatar_component_clause,[],[f500])).
% 3.06/1.23 tff(f500,plain,(
% 3.06/1.23 spl7_7 <=> c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))),
% 3.06/1.23 introduced(avatar_definition,[new_symbols(naming,[spl7_7])])).
% 3.06/1.23 tff(f538,plain,(
% 3.06/1.23 ~p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1)) | ~spl7_7),
% 3.06/1.23 inference(subsumption_resolution,[],[f531,f243])).
% 3.06/1.23 tff(f243,plain,(
% 3.06/1.23 ~p(c_2Ebool_2EF_2E0)),
% 3.06/1.23 inference(equality_resolution,[],[f110])).
% 3.06/1.23 tff(f110,plain,(
% 3.06/1.23 ( ! [X0 : tyop_2Emin_2Ebool] : (~p(X0) | c_2Ebool_2EF_2E0 != X0) )),
% 3.06/1.23 inference(cnf_transformation,[],[f84])).
% 3.06/1.23 tff(f531,plain,(
% 3.06/1.23 p(c_2Ebool_2EF_2E0) | ~p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1)) | ~spl7_7),
% 3.06/1.23 inference(superposition,[],[f248,f501])).
% 3.06/1.23 tff(f248,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X6 : X1,X5 : X0] : (p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X5)),app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),X6))) | ~p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))) )),
% 3.06/1.23 inference(equality_resolution,[],[f247])).
% 3.06/1.23 tff(f247,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X6 : X1,X5 : X0] : (p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),X6))) | ~p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) | app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X5) != X3) )),
% 3.06/1.23 inference(equality_resolution,[],[f208])).
% 3.06/1.23 tff(f208,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X6 : X1,X4 : tyop_2Eoption_2Eoption(X1),X5 : X0] : (p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4)) | ~p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) | app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),X6) != X4 | app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X5) != X3) )),
% 3.06/1.23 inference(definition_unfolding,[],[f129,f191,f194,f194])).
% 3.06/1.23 tff(f129,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X6 : X1,X4 : tyop_2Eoption_2Eoption(X1),X5 : X0] : (p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) | ~p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) | c_2Eoption_2ESOME_2E1(X1,X6) != X4 | c_2Eoption_2ESOME_2E1(X0,X5) != X3) )),
% 3.06/1.23 inference(cnf_transformation,[],[f93])).
% 3.06/1.23 tff(f505,plain,(
% 3.06/1.23 spl7_7 | ~spl7_8 | spl7_4),
% 3.06/1.23 inference(avatar_split_clause,[],[f498,f267,f503,f500])).
% 3.06/1.23 tff(f498,plain,(
% 3.06/1.23 c_2Ebool_2ET_2E0 != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) | c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) | spl7_4),
% 3.06/1.23 inference(superposition,[],[f268,f118])).
% 3.06/1.23 tff(f482,plain,(
% 3.06/1.23 spl7_3),
% 3.06/1.23 inference(avatar_contradiction_clause,[],[f481])).
% 3.06/1.23 tff(f481,plain,(
% 3.06/1.23 $false | spl7_3),
% 3.06/1.23 inference(subsumption_resolution,[],[f465,f419])).
% 3.06/1.23 tff(f419,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3 : X0] : (~p(app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X1,X0),X2),c_2Eoption_2ENONE_2E0(X1)),app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X3)))) )),
% 3.06/1.23 inference(unit_resulting_resolution,[],[f234,f234,f214])).
% 3.06/1.23 tff(f214,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (~p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4)) | c_2Eoption_2ENONE_2E0(X1) = X4 | app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),sK5(X0,X1,X2,X3,X4)) = X3) )),
% 3.06/1.23 inference(definition_unfolding,[],[f123,f194,f191])).
% 3.06/1.23 tff(f123,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (c_2Eoption_2ESOME_2E1(X0,sK5(X0,X1,X2,X3,X4)) = X3 | c_2Eoption_2ENONE_2E0(X1) = X4 | ~p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))) )),
% 3.06/1.23 inference(cnf_transformation,[],[f93])).
% 3.06/1.23 tff(f465,plain,(
% 3.06/1.23 p(app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) | spl7_3),
% 3.06/1.23 inference(unit_resulting_resolution,[],[f265,f111])).
% 3.06/1.23 tff(f111,plain,(
% 3.06/1.23 ( ! [X0 : tyop_2Emin_2Ebool] : (c_2Ebool_2EF_2E0 = X0 | p(X0)) )),
% 3.06/1.23 inference(cnf_transformation,[],[f84])).
% 3.06/1.23 tff(f265,plain,(
% 3.06/1.23 c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) | spl7_3),
% 3.06/1.23 inference(avatar_component_clause,[],[f264])).
% 3.06/1.23 tff(f264,plain,(
% 3.06/1.23 spl7_3 <=> c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))),
% 3.06/1.23 introduced(avatar_definition,[new_symbols(naming,[spl7_3])])).
% 3.06/1.23 tff(f456,plain,(
% 3.06/1.23 spl7_2),
% 3.06/1.23 inference(avatar_contradiction_clause,[],[f455])).
% 3.06/1.23 tff(f455,plain,(
% 3.06/1.23 $false | spl7_2),
% 3.06/1.23 inference(subsumption_resolution,[],[f454,f234])).
% 3.06/1.23 tff(f454,plain,(
% 3.06/1.23 c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),c_2Eoption_2ENONE_2E0(sK0))) | spl7_2),
% 3.06/1.23 inference(subsumption_resolution,[],[f453,f234])).
% 3.06/1.23 tff(f453,plain,(
% 3.06/1.23 c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) | c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),c_2Eoption_2ENONE_2E0(sK0))) | spl7_2),
% 3.06/1.23 inference(subsumption_resolution,[],[f441,f245])).
% 3.06/1.23 tff(f441,plain,(
% 3.06/1.23 ~p(c_2Ebool_2ET_2E0) | c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) | c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),c_2Eoption_2ENONE_2E0(sK0))) | spl7_2),
% 3.06/1.23 inference(superposition,[],[f213,f281])).
% 3.06/1.23 tff(f281,plain,(
% 3.06/1.23 c_2Ebool_2ET_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),c_2Eoption_2ENONE_2E0(sK0)) | spl7_2),
% 3.06/1.23 inference(unit_resulting_resolution,[],[f262,f118])).
% 3.06/1.23 tff(f262,plain,(
% 3.06/1.23 c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),c_2Eoption_2ENONE_2E0(sK0)) | spl7_2),
% 3.06/1.23 inference(avatar_component_clause,[],[f261])).
% 3.06/1.23 tff(f261,plain,(
% 3.06/1.23 spl7_2 <=> c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),c_2Eoption_2ENONE_2E0(sK0))),
% 3.06/1.23 introduced(avatar_definition,[new_symbols(naming,[spl7_2])])).
% 3.06/1.23 tff(f276,plain,(
% 3.06/1.23 spl7_1),
% 3.06/1.23 inference(avatar_contradiction_clause,[],[f275])).
% 3.06/1.23 tff(f275,plain,(
% 3.06/1.23 $false | spl7_1),
% 3.06/1.23 inference(subsumption_resolution,[],[f272,f250])).
% 3.06/1.23 tff(f250,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))] : (p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),c_2Eoption_2ENONE_2E0(X0)),c_2Eoption_2ENONE_2E0(X1)))) )),
% 3.06/1.23 inference(equality_resolution,[],[f249])).
% 3.06/1.23 tff(f249,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0)] : (p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),c_2Eoption_2ENONE_2E0(X1))) | c_2Eoption_2ENONE_2E0(X0) != X3) )),
% 3.06/1.23 inference(equality_resolution,[],[f209])).
% 3.06/1.23 tff(f209,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4)) | c_2Eoption_2ENONE_2E0(X1) != X4 | c_2Eoption_2ENONE_2E0(X0) != X3) )),
% 3.06/1.23 inference(definition_unfolding,[],[f128,f191])).
% 3.06/1.23 tff(f128,plain,(
% 3.06/1.23 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3 : tyop_2Eoption_2Eoption(X0),X4 : tyop_2Eoption_2Eoption(X1)] : (p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) | c_2Eoption_2ENONE_2E0(X1) != X4 | c_2Eoption_2ENONE_2E0(X0) != X3) )),
% 3.06/1.23 inference(cnf_transformation,[],[f93])).
% 3.06/1.23 tff(f272,plain,(
% 3.06/1.23 ~p(app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),c_2Eoption_2ENONE_2E0(sK0))) | spl7_1),
% 3.06/1.23 inference(unit_resulting_resolution,[],[f259,f107])).
% 3.06/1.23 tff(f259,plain,(
% 3.06/1.23 c_2Ebool_2ET_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),c_2Eoption_2ENONE_2E0(sK0)) | spl7_1),
% 3.06/1.23 inference(avatar_component_clause,[],[f258])).
% 3.06/1.23 tff(f258,plain,(
% 3.06/1.23 spl7_1 <=> c_2Ebool_2ET_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),c_2Eoption_2ENONE_2E0(sK0))),
% 3.06/1.23 introduced(avatar_definition,[new_symbols(naming,[spl7_1])])).
% 3.06/1.23 tff(f269,plain,(
% 3.06/1.23 ~spl7_1 | ~spl7_2 | ~spl7_3 | ~spl7_4),
% 3.06/1.23 inference(avatar_split_clause,[],[f207,f267,f264,f261,f258])).
% 3.06/1.23 tff(f207,plain,(
% 3.06/1.23 app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) | c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) | c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),c_2Eoption_2ENONE_2E0(sK0)) | c_2Ebool_2ET_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),c_2Eoption_2ENONE_2E0(sK0))),
% 3.06/1.23 inference(definition_unfolding,[],[f103,f191,f194,f194,f191,f194,f191,f194,f191])).
% 3.06/1.23 tff(f103,plain,(
% 3.06/1.23 c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ESOME_2E1(sK0,sK1)) != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) | c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ESOME_2E1(sK0,sK1)) | c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ENONE_2E0(sK0)) | c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ENONE_2E0(sK0))),
% 3.06/1.23 inference(cnf_transformation,[],[f82])).
% 3.06/1.23 tff(f82,plain,(
% 3.06/1.23 c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ESOME_2E1(sK0,sK1)) != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) | c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ESOME_2E1(sK0,sK1)) | c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ENONE_2E0(sK0)) | c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ENONE_2E0(sK0))),
% 3.06/1.23 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f74,f81])).
% 3.06/1.23 tff(f81,plain,(
% 3.06/1.23 ? [X0 : $tType,X1 : X0,X2 : X0,X3 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))] : (c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ESOME_2E1(X0,X1)) != app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3,X2),X1) | c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E1(X0,X1)) | c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ENONE_2E0(X0)) | c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0))) => (c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ESOME_2E1(sK0,sK1)) != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) | c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ESOME_2E1(sK0,sK1)) | c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ENONE_2E0(sK0)) | c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ENONE_2E0(sK0)))),
% 3.06/1.23 introduced(choice_axiom,[])).
% 3.06/1.23 tff(f74,plain,(
% 3.06/1.23 ? [X0 : $tType,X1 : X0,X2 : X0,X3 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))] : (c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ESOME_2E1(X0,X1)) != app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3,X2),X1) | c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E1(X0,X1)) | c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ENONE_2E0(X0)) | c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)))),
% 3.06/1.23 inference(ennf_transformation,[],[f48])).
% 3.06/1.23 tff(f48,plain,(
% 3.06/1.23 ~! [X0 : $tType,X1 : X0,X2 : X0,X3 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))] : (c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ESOME_2E1(X0,X1)) = app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3,X2),X1) & c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E1(X0,X1)) & c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ENONE_2E0(X0)) & c_2Ebool_2ET_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)))),
% 3.06/1.23 inference(rectify,[],[f47])).
% 3.06/1.23 tff(f47,negated_conjecture,(
% 3.06/1.23 ~! [X0 : $tType,X46 : X0,X11 : X0,X47 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))] : (c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ESOME_2E1(X0,X11),c_2Eoption_2ESOME_2E1(X0,X46)) = app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X47,X11),X46) & c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E1(X0,X46)) & c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ESOME_2E1(X0,X11),c_2Eoption_2ENONE_2E0(X0)) & c_2Ebool_2ET_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)))),
% 3.06/1.23 inference(negated_conjecture,[],[f46])).
% 3.06/1.23 tff(f46,conjecture,(
% 3.06/1.23 ! [X0 : $tType,X46 : X0,X11 : X0,X47 : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))] : (c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ESOME_2E1(X0,X11),c_2Eoption_2ESOME_2E1(X0,X46)) = app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X47,X11),X46) & c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E1(X0,X46)) & c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ESOME_2E1(X0,X11),c_2Eoption_2ENONE_2E0(X0)) & c_2Ebool_2ET_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)))),
% 3.06/1.23 file('/export/starexec/sandbox/tmp/tmp.8A8cfzgwlW/Vampire---4.8_22588',thm_2Equotient__option_2EOPTION__REL__def)).
% 3.06/1.23 % SZS output end Proof for Vampire---4
% 3.06/1.23 % (22945)------------------------------
% 3.06/1.23 % (22945)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.06/1.23 % (22945)Termination reason: Refutation
% 3.06/1.23
% 3.06/1.23 % (22945)Memory used [KB]: 1483
% 3.06/1.23 % (22945)Time elapsed: 0.075 s
% 3.06/1.23 % (22945)Instructions burned: 104 (million)
% 3.06/1.23 % (22839)Success in time 0.852 s
% 3.06/1.23 % Vampire---4.8 exiting
%------------------------------------------------------------------------------