TSTP Solution File: LCL855-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL855-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n007.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 : Wed Aug 31 17:50:13 EDT 2022
% Result : Unsatisfiable 1.80s 0.63s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 10 unt; 0 def)
% Number of atoms : 12 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f453,plain,
$false,
inference(subsumption_resolution,[],[f452,f362]) ).
fof(f362,axiom,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f452,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
inference(forward_demodulation,[],[f451,f393]) ).
fof(f393,plain,
! [X28,X5] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X5),X28,X5) = X28,
inference(subsumption_resolution,[],[f326,f291]) ).
fof(f291,axiom,
! [X5] : ~ c_HOL_Oord__class_Oless(X5,X5,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__less__le_1) ).
fof(f326,axiom,
! [X28,X5] :
( c_HOL_Oord__class_Oless(X5,X5,tc_nat)
| c_Lambda_Osubst(c_Lambda_OdB_OVar(X5),X28,X5) = X28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__Var_1) ).
fof(f451,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Osubst(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_s____,c_HOL_Ozero__class_Ozero(tc_nat)),v_ta____)),
inference(backward_demodulation,[],[f361,f444]) ).
fof(f444,plain,
! [X3,X6,X4,X5] : c_Lambda_OdB_OApp(c_Lambda_Osubst(X6,X5,X4),X3) = c_Lambda_Osubst(c_Lambda_OdB_OApp(X6,c_Lambda_Olift(X3,X4)),X5,X4),
inference(superposition,[],[f343,f324]) ).
fof(f324,axiom,
! [X28,X25,X12] : c_Lambda_Osubst(c_Lambda_Olift(X25,X12),X28,X12) = X25,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__lift_0) ).
fof(f343,axiom,
! [X28,X15,X25,X12] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X25,X15),X28,X12) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X25,X28,X12),c_Lambda_Osubst(X15,X28,X12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__App_0) ).
fof(f361,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_s____,c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL855-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 02:36:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.53 % (16850)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (16834)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (16832)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (16842)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (16845)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (16835)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (16856)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (16854)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.54 % (16860)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54 % (16851)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.55 % (16833)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.55 % (16836)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.55 % (16831)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.55 % (16855)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (16838)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (16846)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.56 % (16837)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (16859)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56 % (16844)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 % (16849)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (16857)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.56 % (16852)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56 % (16843)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.56 % (16839)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (16841)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (16839)Instruction limit reached!
% 0.19/0.56 % (16839)------------------------------
% 0.19/0.56 % (16839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (16839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (16839)Termination reason: Unknown
% 0.19/0.56 % (16839)Termination phase: Function definition elimination
% 0.19/0.56
% 0.19/0.56 % (16839)Memory used [KB]: 1279
% 0.19/0.56 % (16839)Time elapsed: 0.002 s
% 0.19/0.56 % (16839)Instructions burned: 2 (million)
% 0.19/0.56 % (16839)------------------------------
% 0.19/0.56 % (16839)------------------------------
% 0.19/0.56 % (16848)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.57 % (16847)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.57 % (16858)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.57 % (16853)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.49/0.57 % (16840)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.58 % (16838)Instruction limit reached!
% 1.49/0.58 % (16838)------------------------------
% 1.49/0.58 % (16838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.58 % (16838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.58 % (16838)Termination reason: Unknown
% 1.49/0.58 % (16838)Termination phase: Saturation
% 1.49/0.58
% 1.49/0.58 % (16838)Memory used [KB]: 5756
% 1.49/0.58 % (16838)Time elapsed: 0.009 s
% 1.49/0.58 % (16838)Instructions burned: 8 (million)
% 1.49/0.58 % (16838)------------------------------
% 1.49/0.58 % (16838)------------------------------
% 1.49/0.60 % (16834)Instruction limit reached!
% 1.49/0.60 % (16834)------------------------------
% 1.49/0.60 % (16834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.60 % (16834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.60 % (16834)Termination reason: Unknown
% 1.49/0.60 % (16834)Termination phase: Saturation
% 1.49/0.60
% 1.49/0.60 % (16834)Memory used [KB]: 6396
% 1.49/0.60 % (16834)Time elapsed: 0.152 s
% 1.49/0.60 % (16834)Instructions burned: 51 (million)
% 1.49/0.60 % (16834)------------------------------
% 1.49/0.60 % (16834)------------------------------
% 1.80/0.60 % (16851)First to succeed.
% 1.80/0.61 % (16833)Instruction limit reached!
% 1.80/0.61 % (16833)------------------------------
% 1.80/0.61 % (16833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (16833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (16833)Termination reason: Unknown
% 1.80/0.61 % (16833)Termination phase: Saturation
% 1.80/0.61
% 1.80/0.61 % (16833)Memory used [KB]: 1663
% 1.80/0.61 % (16833)Time elapsed: 0.183 s
% 1.80/0.61 % (16833)Instructions burned: 37 (million)
% 1.80/0.61 % (16833)------------------------------
% 1.80/0.61 % (16833)------------------------------
% 1.80/0.62 % (16835)Also succeeded, but the first one will report.
% 1.80/0.63 % (16851)Refutation found. Thanks to Tanya!
% 1.80/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.80/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.63 % (16851)------------------------------
% 1.80/0.63 % (16851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (16851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63 % (16851)Termination reason: Refutation
% 1.80/0.63
% 1.80/0.63 % (16851)Memory used [KB]: 6140
% 1.80/0.63 % (16851)Time elapsed: 0.150 s
% 1.80/0.63 % (16851)Instructions burned: 36 (million)
% 1.80/0.63 % (16851)------------------------------
% 1.80/0.63 % (16851)------------------------------
% 1.80/0.63 % (16830)Success in time 0.267 s
%------------------------------------------------------------------------------