0.08/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.13	% Command    : run_vampire %s %d THM
0.14/0.34	% Computer : n011.cluster.edu
0.14/0.34	% Model    : x86_64 x86_64
0.14/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory   : 8042.1875MB
0.14/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit   : 1440
0.14/0.34	% WCLimit    : 180
0.14/0.34	% DateTime   : Thu Jul  4 06:16:24 EDT 2024
0.14/0.34	% CPUTime    : 
0.14/0.37	This is a TFF_ problem
0.14/0.37	Running first-order theorem proving
0.14/0.37	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.23/0.43	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.43	% (6063)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/8Mi)
0.23/0.43	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.43	% (6065)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/37Mi)
0.23/0.43	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.43	% (6064)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi)
0.23/0.43	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.43	% (6066)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/15Mi)
0.23/0.43	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.43	% (6067)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/32Mi)
0.23/0.43	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.43	% (6061)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/59848Mi)
0.23/0.43	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.43	% (6062)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/34Mi)
0.23/0.43	% (6064)Instruction limit reached!
0.23/0.43	% (6064)------------------------------
0.23/0.43	% (6064)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.43	% (6064)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.43	% (6064)Termination reason: Time limit
0.23/0.43	% (6064)Termination phase: Saturation
0.23/0.43	
0.23/0.43	% (6064)Memory used [KB]: 924
0.23/0.43	% (6064)Time elapsed: 0.004 s
0.23/0.43	% (6064)Instructions burned: 2 (million)
0.23/0.44	% (6063)Instruction limit reached!
0.23/0.44	% (6063)------------------------------
0.23/0.44	% (6063)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.44	% (6063)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.44	% (6063)Termination reason: Time limit
0.23/0.44	% (6063)Termination phase: Saturation
0.23/0.44	
0.23/0.44	% (6063)Memory used [KB]: 892
0.23/0.44	% (6063)Time elapsed: 0.010 s
0.23/0.44	% (6063)Instructions burned: 9 (million)
0.23/0.44	% (6066)Instruction limit reached!
0.23/0.44	% (6066)------------------------------
0.23/0.44	% (6066)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.44	% (6066)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.44	% (6066)Termination reason: Time limit
0.23/0.44	% (6066)Termination phase: Saturation
0.23/0.44	
0.23/0.44	% (6066)Memory used [KB]: 913
0.23/0.44	% (6066)Time elapsed: 0.014 s
0.23/0.44	% (6066)Instructions burned: 16 (million)
0.23/0.45	% (6067)Instruction limit reached!
0.23/0.45	% (6067)------------------------------
0.23/0.45	% (6067)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.45	% (6067)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.45	% (6067)Termination reason: Time limit
0.23/0.45	% (6067)Termination phase: Saturation
0.23/0.45	
0.23/0.45	% (6067)Memory used [KB]: 912
0.23/0.45	% (6067)Time elapsed: 0.022 s
0.23/0.45	% (6067)Instructions burned: 32 (million)
0.23/0.46	% (6062)Instruction limit reached!
0.23/0.46	% (6062)------------------------------
0.23/0.46	% (6062)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.46	% (6062)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.46	% (6062)Termination reason: Time limit
0.23/0.46	% (6062)Termination phase: Saturation
0.23/0.46	
0.23/0.46	% (6062)Memory used [KB]: 1028
0.23/0.46	% (6062)Time elapsed: 0.026 s
0.23/0.46	% (6062)Instructions burned: 34 (million)
0.23/0.46	% (6065)Instruction limit reached!
0.23/0.46	% (6065)------------------------------
0.23/0.46	% (6065)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.46	% (6065)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.46	% (6065)Termination reason: Time limit
0.23/0.46	% (6065)Termination phase: Saturation
0.23/0.46	
0.23/0.46	% (6065)Memory used [KB]: 1176
0.23/0.46	% (6065)Time elapsed: 0.028 s
0.23/0.46	% (6065)Instructions burned: 37 (million)
0.23/0.49	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.49	% (6076)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/36Mi)
0.23/0.49	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.49	% (6077)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/26Mi)
0.23/0.50	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.50	% (6078)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi)
0.23/0.50	% (6078)Instruction limit reached!
0.23/0.50	% (6078)------------------------------
0.23/0.50	% (6078)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.50	% (6078)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.50	% (6078)Termination reason: Time limit
0.23/0.50	% (6078)Termination phase: Saturation
0.23/0.50	
0.23/0.50	% (6078)Memory used [KB]: 753
0.23/0.50	% (6078)Time elapsed: 0.002 s
0.23/0.50	% (6078)Instructions burned: 2 (million)
0.23/0.50	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.50	% (6081)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi)
0.23/0.50	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.50	% (6079)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/35Mi)
0.23/0.50	% (6081)Instruction limit reached!
0.23/0.50	% (6081)------------------------------
0.23/0.50	% (6081)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.50	% (6081)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.50	% (6081)Termination reason: Time limit
0.23/0.50	% (6081)Termination phase: Saturation
0.23/0.50	
0.23/0.50	% (6081)Memory used [KB]: 778
0.23/0.50	% (6081)Time elapsed: 0.002 s
0.23/0.50	% (6081)Instructions burned: 2 (million)
0.23/0.50	% (6076)Instruction limit reached!
0.23/0.50	% (6076)------------------------------
0.23/0.50	% (6076)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.50	% (6076)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.50	% (6076)Termination reason: Time limit
0.23/0.50	% (6076)Termination phase: Saturation
0.23/0.50	
0.23/0.50	% (6076)Memory used [KB]: 1083
0.23/0.50	% (6076)Time elapsed: 0.016 s
0.23/0.50	% (6076)Instructions burned: 37 (million)
0.23/0.50	% (6077)Instruction limit reached!
0.23/0.50	% (6077)------------------------------
0.23/0.50	% (6077)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.50	% (6077)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.50	% (6077)Termination reason: Time limit
0.23/0.50	% (6077)Termination phase: Saturation
0.23/0.50	
0.23/0.50	% (6077)Memory used [KB]: 1083
0.23/0.50	% (6077)Time elapsed: 0.012 s
0.23/0.50	% (6077)Instructions burned: 27 (million)
0.23/0.51	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.51	% (6080)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/4Mi)
0.23/0.51	% (6080)Instruction limit reached!
0.23/0.51	% (6080)------------------------------
0.23/0.51	% (6080)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.51	% (6080)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.51	% (6080)Termination reason: Time limit
0.23/0.51	% (6080)Termination phase: Saturation
0.23/0.51	
0.23/0.51	% (6080)Memory used [KB]: 855
0.23/0.51	% (6080)Time elapsed: 0.004 s
0.23/0.51	% (6080)Instructions burned: 5 (million)
0.23/0.51	% (6079)Instruction limit reached!
0.23/0.51	% (6079)------------------------------
0.23/0.51	% (6079)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.51	% (6079)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.51	% (6079)Termination reason: Time limit
0.23/0.51	% (6079)Termination phase: Saturation
0.23/0.51	
0.23/0.51	% (6079)Memory used [KB]: 883
0.23/0.51	% (6079)Time elapsed: 0.012 s
0.23/0.51	% (6079)Instructions burned: 35 (million)
0.23/0.53	% (6061)First to succeed.
0.23/0.53	% (6061)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6060"
0.23/0.53	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.53	% (6082)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi)
0.23/0.53	% (6082)Refutation not found, incomplete strategy% (6082)------------------------------
0.23/0.53	% (6082)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.53	% (6082)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.53	% (6082)Termination reason: Refutation not found, incomplete strategy
0.23/0.53	
0.23/0.53	% (6082)Memory used [KB]: 743
0.23/0.53	% (6082)Time elapsed: 0.003 s
0.23/0.53	% (6082)Instructions burned: 3 (million)
0.23/0.53	% (6060)Running in auto input_syntax mode. Trying TPTP
0.23/0.53	% (6061)Refutation found. Thanks to Tanya!
0.23/0.53	% SZS status Theorem for theBenchmark
0.23/0.53	% SZS output start Proof for theBenchmark
0.23/0.53	tff(func_def_0, type, a: $int).
0.23/0.53	tff(pred_def_1, type, p: $int > $o).
0.23/0.53	tff(pred_def_2, type, q: $int > $o).
0.23/0.53	tff(f1185,plain,(
0.23/0.53	  $false),
0.23/0.53	  inference(avatar_smt_refutation,[],[f30,f36,f100,f135,f156,f224,f543,f548,f974,f977,f1105,f1182,f1184])).
0.23/0.53	tff(f1184,plain,(
0.23/0.53	  spl0_6),
0.23/0.53	  inference(avatar_split_clause,[],[f1179,f133])).
0.23/0.53	tff(f133,plain,(
0.23/0.53	  spl0_6 <=> $less(0,a)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
0.23/0.53	tff(f1179,plain,(
0.23/0.53	  $less(0,a)),
0.23/0.53	  inference(evaluation,[],[f1173])).
0.23/0.53	tff(f1173,plain,(
0.23/0.53	  $less($sum(-1,1),a)),
0.23/0.53	  inference(resolution,[],[f1168,f48])).
0.23/0.53	tff(f48,plain,(
0.23/0.53	  ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
0.23/0.53	  inference(resolution,[],[f12,f8])).
0.23/0.53	tff(f8,plain,(
0.23/0.53	  ( ! [X0 : $int] : (~$less(X0,X0)) )),
0.23/0.53	  introduced(theory_axiom_150,[])).
0.23/0.53	tff(f12,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
0.23/0.53	  introduced(theory_axiom_155,[])).
0.23/0.53	tff(f1168,plain,(
0.23/0.53	  ( ! [X0 : $int] : (~$less(-1,X0) | $less(X0,a)) )),
0.23/0.53	  inference(evaluation,[],[f1156])).
0.23/0.53	tff(f1156,plain,(
0.23/0.53	  ( ! [X0 : $int] : ($less($uminus($uminus(X0)),a) | ~$less(-1,X0)) )),
0.23/0.53	  inference(resolution,[],[f331,f358])).
0.23/0.53	tff(f358,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : (q($sum(X0,$uminus(X1))) | ~$less(X0,X1)) )),
0.23/0.53	  inference(resolution,[],[f91,f20])).
0.23/0.53	tff(f20,plain,(
0.23/0.53	  ( ! [X0 : $int] : (~$less(X0,0) | q(X0)) )),
0.23/0.53	  inference(cnf_transformation,[],[f17])).
0.23/0.53	tff(f17,plain,(
0.23/0.53	  ! [X1 : $int] : (~$less(a,X1) | p(X1)) & ! [X3 : $int,X2 : $int] : (~q(X2) | 0 != $sum(X3,X2) | ~p(X3)) & ! [X0 : $int] : (~$less(X0,0) | q(X0))),
0.23/0.53	  inference(flattening,[],[f16])).
0.23/0.53	tff(f16,plain,(
0.23/0.53	  ! [X3 : $int,X2 : $int] : (~q(X2) | 0 != $sum(X3,X2) | ~p(X3)) & (! [X0 : $int] : (~$less(X0,0) | q(X0)) & ! [X1 : $int] : (~$less(a,X1) | p(X1)))),
0.23/0.53	  inference(ennf_transformation,[],[f15])).
0.23/0.53	tff(f15,plain,(
0.23/0.53	  ~((! [X0 : $int] : ($less(X0,0) => q(X0)) & ! [X1 : $int] : ($less(a,X1) => p(X1))) => ? [X2 : $int,X3 : $int] : (q(X2) & 0 = $sum(X3,X2) & p(X3)))),
0.23/0.53	  inference(rectify,[],[f2])).
0.23/0.53	tff(f2,negated_conjecture,(
0.23/0.53	  ~((! [X0 : $int] : ($less(X0,0) => q(X0)) & ! [X0 : $int] : ($less(a,X0) => p(X0))) => ? [X1 : $int,X0 : $int] : ($sum(X0,X1) = 0 & p(X0) & q(X1)))),
0.23/0.53	  inference(negated_conjecture,[],[f1])).
0.23/0.53	tff(f1,conjecture,(
0.23/0.53	  (! [X0 : $int] : ($less(X0,0) => q(X0)) & ! [X0 : $int] : ($less(a,X0) => p(X0))) => ? [X1 : $int,X0 : $int] : ($sum(X0,X1) = 0 & p(X0) & q(X1))),
0.23/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.23/0.53	tff(f91,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : ($less($sum(X1,$uminus(X0)),0) | ~$less(X1,X0)) )),
0.23/0.53	  inference(superposition,[],[f11,f7])).
0.23/0.53	tff(f7,plain,(
0.23/0.53	  ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
0.23/0.53	  introduced(theory_axiom_148,[])).
0.23/0.53	tff(f11,plain,(
0.23/0.53	  ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
0.23/0.53	  introduced(theory_axiom_153,[])).
0.23/0.53	tff(f331,plain,(
0.23/0.53	  ( ! [X0 : $int] : (~q($sum(-1,X0)) | $less($uminus(X0),a)) )),
0.23/0.53	  inference(evaluation,[],[f329])).
0.23/0.53	tff(f329,plain,(
0.23/0.53	  ( ! [X0 : $int] : (~q($sum($uminus(1),X0)) | $less($uminus(X0),a)) )),
0.23/0.53	  inference(superposition,[],[f185,f121])).
0.23/0.53	tff(f121,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
0.23/0.53	  inference(evaluation,[],[f102])).
0.23/0.53	tff(f102,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
0.23/0.53	  inference(superposition,[],[f4,f7])).
0.23/0.53	tff(f4,plain,(
0.23/0.53	  ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
0.23/0.53	  introduced(theory_axiom_144,[])).
0.23/0.53	tff(f185,plain,(
0.23/0.53	  ( ! [X0 : $int] : ($less($uminus($sum(1,X0)),a) | ~q(X0)) )),
0.23/0.53	  inference(resolution,[],[f180,f54])).
0.23/0.53	tff(f54,plain,(
0.23/0.53	  ( ! [X0 : $int] : (p($sum(1,X0)) | $less(X0,a)) )),
0.23/0.53	  inference(superposition,[],[f47,f3])).
0.23/0.53	tff(f3,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
0.23/0.53	  introduced(theory_axiom_143,[])).
0.23/0.53	tff(f47,plain,(
0.23/0.53	  ( ! [X0 : $int] : (p($sum(X0,1)) | $less(X0,a)) )),
0.23/0.53	  inference(resolution,[],[f12,f18])).
0.23/0.53	tff(f18,plain,(
0.23/0.53	  ( ! [X1 : $int] : (~$less(a,X1) | p(X1)) )),
0.23/0.53	  inference(cnf_transformation,[],[f17])).
0.23/0.53	tff(f180,plain,(
0.23/0.53	  ( ! [X2 : $int,X1 : $int] : (~p($sum(X1,$uminus($sum(X1,X2)))) | ~q(X2)) )),
0.23/0.53	  inference(forward_demodulation,[],[f179,f3])).
0.23/0.53	tff(f179,plain,(
0.23/0.53	  ( ! [X2 : $int,X1 : $int] : (~q(X2) | ~p($sum($uminus($sum(X1,X2)),X1))) )),
0.23/0.53	  inference(evaluation,[],[f168])).
0.23/0.53	tff(f168,plain,(
0.23/0.53	  ( ! [X2 : $int,X1 : $int] : (~p($sum($sum(0,$uminus($sum(X1,X2))),X1)) | ~q(X2)) )),
0.23/0.53	  inference(gaussian_variable_elimination,[],[f115])).
0.23/0.53	tff(f115,plain,(
0.23/0.53	  ( ! [X2 : $int,X0 : $int,X1 : $int] : (0 != $sum(X0,$sum(X1,X2)) | ~q(X2) | ~p($sum(X0,X1))) )),
0.23/0.53	  inference(superposition,[],[f19,f4])).
0.23/0.53	tff(f19,plain,(
0.23/0.53	  ( ! [X2 : $int,X3 : $int] : (0 != $sum(X3,X2) | ~p(X3) | ~q(X2)) )),
0.23/0.53	  inference(cnf_transformation,[],[f17])).
0.23/0.53	tff(f1182,plain,(
0.23/0.53	  ~spl0_4),
0.23/0.53	  inference(avatar_contradiction_clause,[],[f1181])).
0.23/0.53	tff(f1181,plain,(
0.23/0.53	  $false | ~spl0_4),
0.23/0.53	  inference(subsumption_resolution,[],[f1169,f8])).
0.23/0.53	tff(f1169,plain,(
0.23/0.53	  $less(a,a) | ~spl0_4),
0.23/0.53	  inference(resolution,[],[f1168,f99])).
0.23/0.53	tff(f99,plain,(
0.23/0.53	  $less(-1,a) | ~spl0_4),
0.23/0.53	  inference(avatar_component_clause,[],[f98])).
0.23/0.53	tff(f98,plain,(
0.23/0.53	  spl0_4 <=> $less(-1,a)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
0.23/0.53	tff(f1105,plain,(
0.23/0.53	  ~spl0_3 | spl0_12),
0.23/0.53	  inference(avatar_split_clause,[],[f145,f1103,f34])).
0.23/0.53	tff(f34,plain,(
0.23/0.53	  spl0_3 <=> p(0)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
0.23/0.53	tff(f1103,plain,(
0.23/0.53	  spl0_12 <=> ! [X0 : $int] : (0 != X0 | ~q(X0))),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
0.23/0.53	tff(f145,plain,(
0.23/0.53	  ( ! [X0 : $int] : (0 != X0 | ~p(0) | ~q(X0)) )),
0.23/0.53	  inference(superposition,[],[f43,f5])).
0.23/0.53	tff(f5,plain,(
0.23/0.53	  ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
0.23/0.53	  introduced(theory_axiom_145,[])).
0.23/0.53	tff(f43,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : (0 != $sum(X1,X0) | ~p(X0) | ~q(X1)) )),
0.23/0.53	  inference(superposition,[],[f19,f3])).
0.23/0.53	tff(f977,plain,(
0.23/0.53	  ~spl0_8 | ~spl0_11),
0.23/0.53	  inference(avatar_contradiction_clause,[],[f976])).
0.23/0.53	tff(f976,plain,(
0.23/0.53	  $false | (~spl0_8 | ~spl0_11)),
0.23/0.53	  inference(subsumption_resolution,[],[f975,f223])).
0.23/0.53	tff(f223,plain,(
0.23/0.53	  p($sum(1,a)) | ~spl0_8),
0.23/0.53	  inference(avatar_component_clause,[],[f222])).
0.23/0.53	tff(f222,plain,(
0.23/0.53	  spl0_8 <=> p($sum(1,a))),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
0.23/0.53	tff(f975,plain,(
0.23/0.53	  ~p($sum(1,a)) | ~spl0_11),
0.23/0.53	  inference(resolution,[],[f973,f37])).
0.23/0.53	tff(f37,plain,(
0.23/0.53	  ( ! [X0 : $int] : (~q($uminus(X0)) | ~p(X0)) )),
0.23/0.53	  inference(superposition,[],[f22,f13])).
0.23/0.53	tff(f13,plain,(
0.23/0.53	  ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
0.23/0.53	  introduced(theory_axiom_156,[])).
0.23/0.53	tff(f22,plain,(
0.23/0.53	  ( ! [X2 : $int] : (~p($uminus(X2)) | ~q(X2)) )),
0.23/0.53	  inference(evaluation,[],[f21])).
0.23/0.53	tff(f21,plain,(
0.23/0.53	  ( ! [X2 : $int] : (~p($sum(0,$uminus(X2))) | ~q(X2)) )),
0.23/0.53	  inference(gaussian_variable_elimination,[],[f19])).
0.23/0.53	tff(f973,plain,(
0.23/0.53	  q($uminus($sum(1,a))) | ~spl0_11),
0.23/0.53	  inference(avatar_component_clause,[],[f972])).
0.23/0.53	tff(f972,plain,(
0.23/0.53	  spl0_11 <=> q($uminus($sum(1,a)))),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
0.23/0.53	tff(f974,plain,(
0.23/0.53	  spl0_11 | spl0_3),
0.23/0.53	  inference(avatar_split_clause,[],[f941,f34,f972])).
0.23/0.53	tff(f941,plain,(
0.23/0.53	  q($uminus($sum(1,a))) | spl0_3),
0.23/0.53	  inference(resolution,[],[f711,f526])).
0.23/0.53	tff(f526,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : (~$less($sum(X0,X1),X0) | q(X1)) )),
0.23/0.53	  inference(evaluation,[],[f522])).
0.23/0.53	tff(f522,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : (~$less($sum($uminus($uminus(X0)),X1),X0) | q(X1)) )),
0.23/0.53	  inference(superposition,[],[f500,f121])).
0.23/0.53	tff(f500,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : (q($sum($uminus(X1),X0)) | ~$less(X0,X1)) )),
0.23/0.53	  inference(superposition,[],[f358,f3])).
0.23/0.53	tff(f711,plain,(
0.23/0.53	  ( ! [X0 : $int] : ($less($sum(X0,$uminus($sum(1,X0))),a)) ) | spl0_3),
0.23/0.53	  inference(subsumption_resolution,[],[f676,f35])).
0.23/0.53	tff(f35,plain,(
0.23/0.53	  ~p(0) | spl0_3),
0.23/0.53	  inference(avatar_component_clause,[],[f34])).
0.23/0.53	tff(f676,plain,(
0.23/0.53	  ( ! [X0 : $int] : ($less($sum(X0,$uminus($sum(1,X0))),a) | p(0)) )),
0.23/0.53	  inference(superposition,[],[f54,f108])).
0.23/0.53	tff(f108,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : (0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1))))) )),
0.23/0.53	  inference(superposition,[],[f4,f7])).
0.23/0.53	tff(f548,plain,(
0.23/0.53	  ~spl0_10 | ~spl0_9),
0.23/0.53	  inference(avatar_split_clause,[],[f544,f541,f546])).
0.23/0.53	tff(f546,plain,(
0.23/0.53	  spl0_10 <=> p(a)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
0.23/0.53	tff(f541,plain,(
0.23/0.53	  spl0_9 <=> q($uminus(a))),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
0.23/0.53	tff(f544,plain,(
0.23/0.53	  ~p(a) | ~spl0_9),
0.23/0.53	  inference(resolution,[],[f542,f37])).
0.23/0.53	tff(f542,plain,(
0.23/0.53	  q($uminus(a)) | ~spl0_9),
0.23/0.53	  inference(avatar_component_clause,[],[f541])).
0.23/0.53	tff(f543,plain,(
0.23/0.53	  spl0_9 | ~spl0_6),
0.23/0.53	  inference(avatar_split_clause,[],[f530,f133,f541])).
0.23/0.53	tff(f530,plain,(
0.23/0.53	  q($uminus(a)) | ~spl0_6),
0.23/0.53	  inference(resolution,[],[f523,f134])).
0.23/0.53	tff(f134,plain,(
0.23/0.53	  $less(0,a) | ~spl0_6),
0.23/0.53	  inference(avatar_component_clause,[],[f133])).
0.23/0.53	tff(f523,plain,(
0.23/0.53	  ( ! [X0 : $int] : (~$less(0,X0) | q($uminus(X0))) )),
0.23/0.53	  inference(superposition,[],[f500,f5])).
0.23/0.53	tff(f224,plain,(
0.23/0.53	  spl0_8),
0.23/0.53	  inference(avatar_split_clause,[],[f220,f222])).
0.23/0.53	tff(f220,plain,(
0.23/0.53	  p($sum(1,a))),
0.23/0.53	  inference(forward_demodulation,[],[f214,f3])).
0.23/0.53	tff(f214,plain,(
0.23/0.53	  p($sum(a,1))),
0.23/0.53	  inference(resolution,[],[f48,f18])).
0.23/0.53	tff(f156,plain,(
0.23/0.53	  spl0_6 | spl0_7 | ~spl0_4),
0.23/0.53	  inference(avatar_split_clause,[],[f143,f98,f154,f133])).
0.23/0.53	tff(f154,plain,(
0.23/0.53	  spl0_7 <=> q(-1)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
0.23/0.53	tff(f143,plain,(
0.23/0.53	  q(-1) | $less(0,a) | ~spl0_4),
0.23/0.53	  inference(evaluation,[],[f142])).
0.23/0.53	tff(f142,plain,(
0.23/0.53	  q(-1) | $less(0,a) | 0 = -1 | ~spl0_4),
0.23/0.53	  inference(resolution,[],[f128,f61])).
0.23/0.53	tff(f61,plain,(
0.23/0.53	  ( ! [X0 : $int] : ($less(0,X0) | 0 = X0 | q(X0)) )),
0.23/0.53	  inference(resolution,[],[f10,f20])).
0.23/0.53	tff(f10,plain,(
0.23/0.53	  ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | X0 = X1 | $less(X0,X1)) )),
0.23/0.53	  introduced(theory_axiom_152,[])).
0.23/0.53	tff(f128,plain,(
0.23/0.53	  ( ! [X0 : $int] : (~$less(X0,-1) | $less(X0,a)) ) | ~spl0_4),
0.23/0.53	  inference(resolution,[],[f99,f9])).
0.23/0.53	tff(f9,plain,(
0.23/0.53	  ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
0.23/0.53	  introduced(theory_axiom_151,[])).
0.23/0.53	tff(f135,plain,(
0.23/0.53	  spl0_5 | spl0_6),
0.23/0.53	  inference(avatar_split_clause,[],[f76,f133,f130])).
0.23/0.53	tff(f130,plain,(
0.23/0.53	  spl0_5 <=> p(1)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
0.23/0.53	tff(f76,plain,(
0.23/0.53	  $less(0,a) | p(1)),
0.23/0.53	  inference(superposition,[],[f54,f5])).
0.23/0.53	tff(f100,plain,(
0.23/0.53	  spl0_4 | spl0_3),
0.23/0.53	  inference(avatar_split_clause,[],[f81,f34,f98])).
0.23/0.53	tff(f81,plain,(
0.23/0.53	  $less(-1,a) | spl0_3),
0.23/0.53	  inference(subsumption_resolution,[],[f80,f35])).
0.23/0.53	tff(f80,plain,(
0.23/0.53	  $less(-1,a) | p(0)),
0.23/0.53	  inference(evaluation,[],[f77])).
0.23/0.53	tff(f77,plain,(
0.23/0.53	  $less($uminus(1),a) | p(0)),
0.23/0.53	  inference(superposition,[],[f54,f7])).
0.23/0.53	tff(f36,plain,(
0.23/0.53	  ~spl0_3 | ~spl0_1),
0.23/0.53	  inference(avatar_split_clause,[],[f31,f25,f34])).
0.23/0.53	tff(f25,plain,(
0.23/0.53	  spl0_1 <=> ! [X0 : $int] : (~p(X0) | 0 != X0)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.23/0.53	tff(f31,plain,(
0.23/0.53	  ~p(0) | ~spl0_1),
0.23/0.53	  inference(gaussian_variable_elimination,[],[f26])).
0.23/0.53	tff(f26,plain,(
0.23/0.53	  ( ! [X0 : $int] : (0 != X0 | ~p(X0)) ) | ~spl0_1),
0.23/0.53	  inference(avatar_component_clause,[],[f25])).
0.23/0.53	tff(f30,plain,(
0.23/0.53	  spl0_1 | ~spl0_2),
0.23/0.53	  inference(avatar_split_clause,[],[f23,f28,f25])).
0.23/0.53	tff(f28,plain,(
0.23/0.53	  spl0_2 <=> q(0)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
0.23/0.53	tff(f23,plain,(
0.23/0.53	  ( ! [X0 : $int] : (~q(0) | ~p(X0) | 0 != X0) )),
0.23/0.53	  inference(superposition,[],[f19,f5])).
0.23/0.53	% SZS output end Proof for theBenchmark
0.23/0.53	% (6061)------------------------------
0.23/0.53	% (6061)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.23/0.53	% (6061)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.23/0.53	% (6061)Termination reason: Refutation
0.23/0.53	
0.23/0.53	% (6061)Memory used [KB]: 1214
0.23/0.53	% (6061)Time elapsed: 0.098 s
0.23/0.53	% (6061)Instructions burned: 192 (million)
0.23/0.53	% (6061)------------------------------
0.23/0.53	% (6061)------------------------------
0.23/0.53	% (6060)Success in time 0.153 s
0.23/0.53	EOF