%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP699-1 : TPTP v9.3.1. Released v4.0.0.
% 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 10:15:58 AM UTC 2026
% Result : Unsatisfiable 0.27s 3.18s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,mult(X1,mult(X1,X2))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f9,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f13,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(X0,mult(ld(X0,X1),X0))) = mult(mult(X2,mult(X0,X1)),X0),
inference(superposition,[],[f8,f1]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X2),X1)) = ld(mult(X0,X1),mult(mult(X0,mult(X1,X2)),X1)),
inference(superposition,[],[f2,f13]) ).
fof(f91,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),X0)) = ld(X0,mult(mult(unit,mult(X0,X1)),X0)),
inference(superposition,[],[f18,f6]) ).
fof(f95,plain,
! [X2,X0,X1] : mult(X0,mult(ld(X0,ld(X0,X1)),X0)) = ld(mult(X2,X0),mult(mult(X2,X1),X0)),
inference(superposition,[],[f18,f1]) ).
fof(f108,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),X0)) = ld(X0,mult(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f91,f6]) ).
fof(f116,plain,
! [X0,X1] : mult(X0,mult(ld(X0,ld(X0,X1)),X0)) = ld(X0,mult(X1,X0)),
inference(superposition,[],[f108,f1]) ).
fof(f128,plain,
! [X2,X0,X1] : ld(mult(X2,X0),mult(mult(X2,X1),X0)) = ld(X0,mult(X1,X0)),
inference(backward_demodulation,[],[f95,f116]) ).
fof(f156,plain,
! [X2,X0,X1] : mult(mult(X0,X2),X1) = mult(mult(X0,X1),ld(X1,mult(X2,X1))),
inference(superposition,[],[f1,f128]) ).
fof(f157,plain,
$false,
inference(backward_subsumption_resolution,[],[f9,f156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP699-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n026.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 10:39:11 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 0.27/3.18 % (2642200)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.27/3.18 % (2642210)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4021153814:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.27/3.18 % (2642206)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=68876469:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.27/3.18 % (2642205)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=272903308:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.27/3.18 % (2642207)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2270771334:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.27/3.18 % (2642209)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=282091884:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.27/3.18 % (2642208)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2146837577:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.27/3.18 % (2642211)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1254253911:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.27/3.18 % (2642210)Instruction limit reached!
% 0.27/3.18 % (2642210)------------------------------
% 0.27/3.18 % (2642210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/3.18 % (2642210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/3.18 % (2642210)CaDiCaL version: 2.1.3
% 0.27/3.18 % (2642210)Termination reason: Instruction limit
% 0.27/3.18 % (2642210)Termination phase: Saturation
% 0.27/3.18 % (2642210)Time elapsed: 0.136 s
% 0.27/3.18 % (2642210)Peak memory usage: 90 MB
% 0.27/3.18 % (2642210)Instructions burned: 257 (million)
% 0.27/3.18 % (2642208)Instruction limit reached!
% 0.27/3.18 % (2642208)------------------------------
% 0.27/3.18 % (2642208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/3.18 % (2642208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/3.18 % (2642208)CaDiCaL version: 2.1.3
% 0.27/3.18 % (2642208)Termination reason: Instruction limit
% 0.27/3.18 % (2642208)Termination phase: Saturation
% 0.27/3.18 % (2642208)Time elapsed: 0.123 s
% 0.27/3.18 % (2642208)Peak memory usage: 88 MB
% 0.27/3.18 % (2642208)Instructions burned: 136 (million)
% 0.27/3.18 % (2642209)Instruction limit reached!
% 0.27/3.18 % (2642209)------------------------------
% 0.27/3.18 % (2642209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/3.18 % (2642209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/3.18 % (2642209)CaDiCaL version: 2.1.3
% 0.27/3.18 % (2642209)Termination reason: Instruction limit
% 0.27/3.18 % (2642209)Termination phase: Saturation
% 0.27/3.18 % (2642209)Time elapsed: 0.161 s
% 0.27/3.18 % (2642209)Peak memory usage: 89 MB
% 0.27/3.18 % (2642209)Instructions burned: 181 (million)
% 0.27/3.18 % (2642219)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=685560223:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 0.27/3.18 % (2642220)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2160281797:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 0.27/3.18 % (2642221)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1696270304:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 0.27/3.18 % (2642221)Instruction limit reached!
% 0.27/3.18 % (2642221)------------------------------
% 0.27/3.18 % (2642221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/3.18 % (2642221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/3.18 % (2642221)CaDiCaL version: 2.1.3
% 0.27/3.18 % (2642221)Termination reason: Instruction limit
% 0.27/3.18 % (2642221)Termination phase: Saturation
% 0.27/3.18 % (2642221)Time elapsed: 0.187 s
% 0.27/3.18 % (2642221)Peak memory usage: 90 MB
% 0.27/3.18 % (2642221)Instructions burned: 215 (million)
% 0.27/3.18 % (2642225)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=3133127098:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 0.27/3.18 % (2642219)First to succeed.
% 0.27/3.18 % (2642219)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2642200"
% 0.27/3.18 % (2642211)Instruction limit reached!
% 0.27/3.18 % (2642211)------------------------------
% 0.27/3.18 % (2642211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/3.18 % (2642211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/3.18 % (2642211)CaDiCaL version: 2.1.3
% 0.27/3.18 % (2642211)Termination reason: Instruction limit
% 0.27/3.18 % (2642211)Termination phase: Saturation
% 0.27/3.18 % (2642211)Time elapsed: 1.029 s
% 0.27/3.18 % (2642211)Peak memory usage: 98 MB
% 0.27/3.18 % (2642211)Instructions burned: 1188 (million)
% 0.27/3.18 % (2642206)Also succeeded, but the first one will report.
% 0.27/3.18 % (2642225)Instruction limit reached!
% 0.27/3.18 % (2642225)------------------------------
% 0.27/3.18 % (2642225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/3.18 % (2642225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/3.18 % (2642225)CaDiCaL version: 2.1.3
% 0.27/3.18 % (2642225)Termination reason: Instruction limit
% 0.27/3.18 % (2642225)Termination phase: Saturation
% 0.27/3.18 % (2642225)Time elapsed: 0.312 s
% 0.27/3.18 % (2642225)Peak memory usage: 93 MB
% 0.27/3.18 % (2642225)Instructions burned: 317 (million)
% 0.27/3.18 % (2642227)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=1191086524:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 0.27/3.18 % (2642207)Also succeeded, but the first one will report.
% 0.27/3.18 % (2642219)Refutation found. Thanks to Tanya!
% 0.27/3.18 % SZS status Unsatisfiable for theBenchmark
% 0.27/3.18 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/3.18 % (2642219)------------------------------
% 0.27/3.18 % (2642219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/3.18 % (2642219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/3.18 % (2642219)CaDiCaL version: 2.1.3
% 0.27/3.18 % (2642219)Termination reason: Refutation
% 0.27/3.18 % (2642219)Time elapsed: 0.701 s
% 0.27/3.18 % (2642219)Peak memory usage: 128 MB
% 0.27/3.18 % (2642219)Instructions burned: 971 (million)
% 0.27/3.18 % (2642219)------------------------------
% 0.27/3.18 % (2642219)------------------------------
% 0.27/3.18 % (2642200)Success in time 1.588 s
% 0.27/3.18 % Vampire exiting
%------------------------------------------------------------------------------