%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP756-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 10:16:07 AM UTC 2026
% Result : Unsatisfiable 6.16s 16.88s
% Output : Refutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(X0,mult(mult(X1,X1),X2)) = mult(mult(X0,X1),mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f7,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f13,plain,
! [X2,X0,X1] : mult(X1,mult(mult(ld(X1,X0),ld(X1,X0)),X2)) = mult(X0,mult(ld(X1,X0),X2)),
inference(superposition,[],[f5,f1]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(mult(X1,X1),X2)) = mult(X0,mult(X1,X2)),
inference(superposition,[],[f5,f3]) ).
fof(f16,plain,
! [X2,X0,X1] : mult(X1,mult(mult(X2,X2),ld(X2,X0))) = mult(mult(X1,X2),X0),
inference(superposition,[],[f5,f1]) ).
fof(f19,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(X0,mult(mult(X1,X1),X2)),mult(X1,X2)),
inference(superposition,[],[f4,f5]) ).
fof(f20,plain,
! [X2,X0,X1] : mult(X1,X2) = ld(mult(X0,X1),mult(X0,mult(mult(X1,X1),X2))),
inference(superposition,[],[f2,f5]) ).
fof(f25,plain,
! [X2,X0,X1] : mult(X1,mult(X2,ld(mult(X2,X2),X0))) = mult(rd(X1,X2),X0),
inference(superposition,[],[f14,f1]) ).
fof(f40,plain,
! [X2,X0,X1] : rd(mult(mult(X0,X1),X2),mult(mult(X1,X1),ld(X1,X2))) = X0,
inference(superposition,[],[f4,f16]) ).
fof(f41,plain,
! [X2,X0,X1] : mult(mult(X1,X1),ld(X1,X2)) = ld(X0,mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f16]) ).
fof(f57,plain,
! [X2,X0,X1] : mult(X1,X2) = rd(mult(X1,X0),mult(X2,ld(mult(X2,X2),X0))),
inference(superposition,[],[f19,f1]) ).
fof(f86,plain,
! [X2,X0,X1] : mult(X1,ld(mult(X1,X1),X0)) = ld(mult(X2,X1),mult(X2,X0)),
inference(superposition,[],[f20,f1]) ).
fof(f108,plain,
! [X2,X0,X1] : mult(rd(rd(X0,mult(X1,ld(mult(X1,X1),X2))),X1),X2) = X0,
inference(superposition,[],[f25,f3]) ).
fof(f274,plain,
! [X2,X3,X0,X1] : mult(X1,mult(ld(X0,X1),mult(mult(X2,X2),ld(X2,X3)))) = mult(X0,mult(mult(mult(ld(X0,X1),ld(X0,X1)),X2),X3)),
inference(superposition,[],[f13,f16]) ).
fof(f309,plain,
! [X2,X3,X0,X1] : mult(X0,mult(mult(mult(ld(X0,X1),ld(X0,X1)),X2),X3)) = mult(X1,mult(mult(ld(X0,X1),X2),X3)),
inference(forward_demodulation,[],[f274,f16]) ).
fof(f334,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X3,X1),X2),ld(X0,mult(mult(X0,X1),X2))) = X3,
inference(superposition,[],[f40,f41]) ).
fof(f661,plain,
! [X0,X1] : rd(X0,mult(X1,ld(mult(X1,X1),X1))) = X0,
inference(superposition,[],[f108,f3]) ).
fof(f714,plain,
! [X0,X1] : mult(X1,ld(mult(X1,X1),X1)) = ld(X0,X0),
inference(superposition,[],[f7,f661]) ).
fof(f1092,plain,
! [X0,X1] : ld(mult(X1,X1),X1) = ld(X1,ld(X0,X0)),
inference(superposition,[],[f2,f714]) ).
fof(f1456,plain,
! [X0,X1] : mult(mult(X0,X0),ld(X0,ld(X1,X1))) = X0,
inference(superposition,[],[f1,f1092]) ).
fof(f7094,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X1,ld(X0,ld(X2,X2))),X3),ld(mult(X0,X0),mult(X0,X3))) = X1,
inference(superposition,[],[f334,f1456]) ).
fof(f7173,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X1,ld(X0,ld(X2,X2))),X3),mult(X0,ld(mult(X0,X0),X3))) = X1,
inference(forward_demodulation,[],[f7094,f86]) ).
fof(f7208,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X0,ld(X2,X2))),X0) = X1,
inference(forward_demodulation,[],[f7173,f57]) ).
fof(f7439,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = X1,
inference(superposition,[],[f7208,f1]) ).
fof(f9003,plain,
! [X2,X3,X0,X1] : mult(X1,mult(mult(ld(X0,X1),ld(ld(X0,X1),ld(X2,X2))),X3)) = mult(X0,mult(ld(X0,X1),X3)),
inference(superposition,[],[f309,f1456]) ).
fof(f9172,plain,
! [X2,X3,X0,X1] : mult(X1,mult(ld(X2,X2),X3)) = mult(X0,mult(ld(X0,X1),X3)),
inference(forward_demodulation,[],[f9003,f1]) ).
fof(f9205,plain,
! [X3,X0,X1] : mult(X1,X3) = mult(X0,mult(ld(X0,X1),X3)),
inference(forward_demodulation,[],[f9172,f7439]) ).
fof(f9388,plain,
! [X2,X0,X1] : mult(X1,mult(X0,X2)) = mult(mult(X1,X0),X2),
inference(superposition,[],[f9205,f2]) ).
fof(f14677,plain,
mult(a,mult(b,c)) != mult(a,mult(b,c)),
inference(superposition,[],[f6,f9388]) ).
fof(f14815,plain,
$false,
inference(trivial_inequality_removal,[],[f14677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP756-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 % Computer : n016.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.10/15.43 % CPULimit : 300
% 0.10/15.43 % WCLimit : 300
% 0.10/15.43 % DateTime : Sun Sep 27 10:42:46 UTC 2026
% 0.10/15.43 % CPUTime :
% 0.10/15.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/15.46 Running first-order theorem proving
% 0.10/15.46 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.16/16.88 % (773057)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.16/16.88 % (773140)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=129458037:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.16/16.88 % (773138)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=1407189697:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.16/16.88 % (773137)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=2925458617:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.16/16.88 % (773142)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=676330866:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.16/16.88 % (773144)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2906072736:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.16/16.88 % (773145)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=579063534:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.16/16.88 % (773143)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1283958569:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.16/16.88 % (773142)Instruction limit reached!
% 6.16/16.88 % (773142)------------------------------
% 6.16/16.88 % (773142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/16.88 % (773142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/16.88 % (773142)CaDiCaL version: 2.1.3
% 6.16/16.88 % (773142)Termination reason: Instruction limit
% 6.16/16.88 % (773142)Termination phase: Saturation
% 6.16/16.88 % (773142)Time elapsed: 0.079 s
% 6.16/16.88 % (773142)Peak memory usage: 89 MB
% 6.16/16.88 % (773142)Instructions burned: 137 (million)
% 6.16/16.88 % (773143)Instruction limit reached!
% 6.16/16.88 % (773143)------------------------------
% 6.16/16.88 % (773143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/16.88 % (773143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/16.88 % (773143)CaDiCaL version: 2.1.3
% 6.16/16.88 % (773143)Termination reason: Instruction limit
% 6.16/16.88 % (773143)Termination phase: Saturation
% 6.16/16.88 % (773143)Time elapsed: 0.105 s
% 6.16/16.88 % (773143)Peak memory usage: 89 MB
% 6.16/16.88 % (773143)Instructions burned: 182 (million)
% 6.16/16.88 % (773144)Instruction limit reached!
% 6.16/16.88 % (773144)------------------------------
% 6.16/16.88 % (773144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/16.88 % (773144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/16.88 % (773144)CaDiCaL version: 2.1.3
% 6.16/16.88 % (773144)Termination reason: Instruction limit
% 6.16/16.88 % (773144)Termination phase: Saturation
% 6.16/16.88 % (773144)Time elapsed: 0.162 s
% 6.16/16.88 % (773144)Peak memory usage: 90 MB
% 6.16/16.88 % (773144)Instructions burned: 257 (million)
% 6.16/16.88 % (773171)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3161985032:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 6.16/16.88 % (773174)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3348768066:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 6.16/16.88 % (773191)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2918925791:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 6.16/16.88 % (773145)First to succeed.
% 6.16/16.88 % (773145)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-773057"
% 6.16/16.88 % (773191)Instruction limit reached!
% 6.16/16.88 % (773191)------------------------------
% 6.16/16.88 % (773191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/16.88 % (773191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/16.88 % (773191)CaDiCaL version: 2.1.3
% 6.16/16.88 % (773191)Termination reason: Instruction limit
% 6.16/16.88 % (773191)Termination phase: Saturation
% 6.16/16.88 % (773191)Time elapsed: 0.116 s
% 6.16/16.88 % (773191)Peak memory usage: 90 MB
% 6.16/16.88 % (773191)Instructions burned: 215 (million)
% 6.16/16.88 % (773140)Also succeeded, but the first one will report.
% 6.16/16.88 % (773145)Refutation found. Thanks to Tanya!
% 6.16/16.88 % SZS status Unsatisfiable for theBenchmark
% 6.16/16.88 % SZS output start Proof for theBenchmark
% See solution above
% 6.16/16.89 % (773145)------------------------------
% 6.16/16.89 % (773145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/16.89 % (773145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/16.89 % (773145)CaDiCaL version: 2.1.3
% 6.16/16.89 % (773145)Termination reason: Refutation
% 6.16/16.89 % (773145)Time elapsed: 0.348 s
% 6.16/16.89 % (773145)Peak memory usage: 95 MB
% 6.16/16.89 % (773145)Instructions burned: 603 (million)
% 6.16/16.89 % (773145)------------------------------
% 6.16/16.89 % (773145)------------------------------
% 6.16/16.89 % (773057)Success in time 0.783 s
% 6.16/16.89 % Vampire exiting
%------------------------------------------------------------------------------