%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL218-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:51:37 AM UTC 2026
% Result : Unsatisfiable 12.09s 2.57s
% Output : Refutation 12.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-4 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f4,plain,
! [X0,X1] : true = axiom(or(not(X0),or(X1,X0))),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f6,plain,
! [X0,X1] : true = axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f8,plain,
! [X2,X0,X1] : true = axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(reorient_equations,[],[f7]) ).
fof(f11,axiom,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f12,plain,
! [X0] : true = ifeq(axiom(X0),true,theorem(X0),true),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X0,X1] : ifeq(theorem(X0),true,ifeq(axiom(or(not(X0),X1)),true,theorem(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f14,plain,
! [X0,X1] : true = ifeq(theorem(X0),true,ifeq(axiom(or(not(X0),X1)),true,theorem(X1),true),true),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X2,X0,X1] : ifeq(theorem(or(not(X0),X1)),true,ifeq(axiom(or(not(X2),X0)),true,theorem(or(not(X2),X1)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).
fof(f16,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,ifeq(axiom(or(not(X2),X0)),true,theorem(or(not(X2),X1)),true),true),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f18,plain,
true != theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))),
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,ifeq(true,true,theorem(or(not(or(X1,X0)),X2)),true),true),
inference(superposition,[],[f16,f6]) ).
fof(f20,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(or(X1,X0)),X2)),true),
inference(forward_demodulation,[],[f19,f1]) ).
fof(f21,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,ifeq(true,true,theorem(or(not(X1),X2)),true),true),
inference(superposition,[],[f16,f4]) ).
fof(f22,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X1),X2)),true),
inference(forward_demodulation,[],[f21,f1]) ).
fof(f27,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true),
inference(superposition,[],[f12,f6]) ).
fof(f35,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(forward_demodulation,[],[f27,f1]) ).
fof(f194,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,ifeq(true,true,theorem(or(X1,or(X0,X2))),true),true),
inference(superposition,[],[f14,f8]) ).
fof(f206,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),
inference(forward_demodulation,[],[f194,f1]) ).
fof(f217,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(X1,or(not(or(X0,X1)),X0))),true),
inference(superposition,[],[f206,f35]) ).
fof(f235,plain,
! [X0,X1] : true = theorem(or(X1,or(not(or(X0,X1)),X0))),
inference(forward_demodulation,[],[f217,f1]) ).
fof(f1192,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,X0)),or(not(or(X2,not(or(X0,X1)))),X2))),true),
inference(superposition,[],[f20,f235]) ).
fof(f1220,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X1,X0)),or(not(or(X2,not(or(X0,X1)))),X2))),
inference(forward_demodulation,[],[f1192,f1]) ).
fof(f1615,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(X1),or(not(or(X2,not(or(X1,X0)))),X2))),true),
inference(superposition,[],[f22,f1220]) ).
fof(f1646,plain,
! [X2,X0,X1] : true = theorem(or(not(X1),or(not(or(X2,not(or(X1,X0)))),X2))),
inference(forward_demodulation,[],[f1615,f1]) ).
fof(f1661,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,not(or(X0,X2)))),or(not(X0),X1))),true),
inference(superposition,[],[f206,f1646]) ).
fof(f1671,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X1,not(or(X0,X2)))),or(not(X0),X1))),
inference(forward_demodulation,[],[f1661,f1]) ).
fof(f1684,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(or(X1,X2)),X0)),or(not(X1),X0))),true),
inference(superposition,[],[f20,f1671]) ).
fof(f1707,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(or(X1,X2)),X0)),or(not(X1),X0))),
inference(forward_demodulation,[],[f1684,f1]) ).
fof(f1731,plain,
true != true,
inference(superposition,[],[f18,f1707]) ).
fof(f1753,plain,
$false,
inference(trivial_inequality_removal,[],[f1731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL218-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n026.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:29:56 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.09/2.57 % (3000782)Detected a unit-equality problem, will run specialized UEQ schedule.
% 12.09/2.57 % (3000827)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=109324349:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 12.09/2.57 % (3000823)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1313606387:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 12.09/2.57 % (3000826)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=142031507:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 12.09/2.57 % (3000822)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=791284066:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 12.09/2.57 % (3000821)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1377668648:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 12.09/2.57 % (3000825)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1773853726:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 12.09/2.57 % (3000824)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1766581985:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 12.09/2.57 % (3000824)Instruction limit reached!
% 12.09/2.57 % (3000824)------------------------------
% 12.09/2.57 % (3000824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.57 % (3000824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.57 % (3000824)CaDiCaL version: 2.1.3
% 12.09/2.57 % (3000824)Termination reason: Instruction limit
% 12.09/2.57 % (3000824)Termination phase: Saturation
% 12.09/2.57 % (3000824)Time elapsed: 0.087 s
% 12.09/2.57 % (3000824)Peak memory usage: 89 MB
% 12.09/2.57 % (3000824)Instructions burned: 136 (million)
% 12.09/2.57 % (3000825)Instruction limit reached!
% 12.09/2.57 % (3000825)------------------------------
% 12.09/2.57 % (3000825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.57 % (3000825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.57 % (3000825)CaDiCaL version: 2.1.3
% 12.09/2.57 % (3000825)Termination reason: Instruction limit
% 12.09/2.57 % (3000825)Termination phase: Saturation
% 12.09/2.57 % (3000825)Time elapsed: 0.104 s
% 12.09/2.57 % (3000825)Peak memory usage: 90 MB
% 12.09/2.57 % (3000825)Instructions burned: 183 (million)
% 12.09/2.57 % (3000826)Instruction limit reached!
% 12.09/2.57 % (3000826)------------------------------
% 12.09/2.57 % (3000826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.57 % (3000826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.57 % (3000826)CaDiCaL version: 2.1.3
% 12.09/2.57 % (3000826)Termination reason: Instruction limit
% 12.09/2.57 % (3000826)Termination phase: Saturation
% 12.09/2.57 % (3000826)Time elapsed: 0.231 s
% 12.09/2.57 % (3000826)Peak memory usage: 91 MB
% 12.09/2.57 % (3000826)Instructions burned: 257 (million)
% 12.09/2.57 % (3000848)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3222364256:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 12.09/2.57 % (3000849)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=229472786:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 12.09/2.57 % (3000827)Instruction limit reached!
% 12.09/2.57 % (3000827)------------------------------
% 12.09/2.57 % (3000827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.57 % (3000827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.57 % (3000827)CaDiCaL version: 2.1.3
% 12.09/2.57 % (3000827)Termination reason: Instruction limit
% 12.09/2.57 % (3000827)Termination phase: Saturation
% 12.09/2.57 % (3000827)Time elapsed: 0.381 s
% 12.09/2.57 % (3000827)Peak memory usage: 98 MB
% 12.09/2.57 % (3000827)Instructions burned: 1190 (million)
% 12.09/2.57 % (3000850)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2658008193:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 12.09/2.57 % (3000853)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3257661269:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 12.09/2.57 % (3000850)Instruction limit reached!
% 12.09/2.57 % (3000850)------------------------------
% 12.09/2.57 % (3000850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.57 % (3000850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.57 % (3000850)CaDiCaL version: 2.1.3
% 12.09/2.57 % (3000850)Termination reason: Instruction limit
% 12.09/2.57 % (3000850)Termination phase: Saturation
% 12.09/2.57 % (3000850)Time elapsed: 0.115 s
% 12.09/2.57 % (3000850)Peak memory usage: 88 MB
% 12.09/2.57 % (3000850)Instructions burned: 216 (million)
% 12.09/2.57 % (3000853)Instruction limit reached!
% 12.09/2.57 % (3000853)------------------------------
% 12.09/2.57 % (3000853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.57 % (3000853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.57 % (3000853)CaDiCaL version: 2.1.3
% 12.09/2.57 % (3000853)Termination reason: Instruction limit
% 12.09/2.57 % (3000853)Termination phase: Saturation
% 12.09/2.57 % (3000853)Time elapsed: 0.109 s
% 12.09/2.57 % (3000853)Peak memory usage: 95 MB
% 12.09/2.57 % (3000853)Instructions burned: 318 (million)
% 12.09/2.57 % (3000856)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1237430360:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 12.09/2.57 % (3000857)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3041800942:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2992 on theBenchmark for (2992ds/2836Mi)
% 12.09/2.57 % (3000822)First to succeed.
% 12.09/2.57 % (3000822)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3000782"
% 12.09/2.57 % (3000849)Also succeeded, but the first one will report.
% 12.09/2.57 % (3000848)Also succeeded, but the first one will report.
% 12.09/2.57 % (3000822)Refutation found. Thanks to Tanya!
% 12.09/2.57 % SZS status Unsatisfiable for theBenchmark
% 12.09/2.57 % SZS output start Proof for theBenchmark
% See solution above
% 12.09/2.57 % (3000822)------------------------------
% 12.09/2.57 % (3000822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.57 % (3000822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.57 % (3000822)CaDiCaL version: 2.1.3
% 12.09/2.57 % (3000822)Termination reason: Refutation
% 12.09/2.57 % (3000822)Time elapsed: 1.057 s
% 12.09/2.57 % (3000822)Peak memory usage: 132 MB
% 12.09/2.57 % (3000822)Instructions burned: 1335 (million)
% 12.09/2.57 % (3000822)------------------------------
% 12.09/2.57 % (3000822)------------------------------
% 12.09/2.57 % (3000782)Success in time 1.646 s
% 12.09/2.57 % Vampire exiting
%------------------------------------------------------------------------------