%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP709-1 : 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 : n003.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 10:16:01 AM UTC 2026
% Result : Unsatisfiable 5.26s 1.92s
% Output : Refutation 5.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
fof(f10,negated_conjecture,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f45,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(op_c,mult(X0,X1)),
inference(forward_demodulation,[],[f9,f8]) ).
fof(f81,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(X1,mult(op_c,X0)),
inference(superposition,[],[f45,f8]) ).
fof(f133,plain,
! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1),
inference(superposition,[],[f7,f8]) ).
fof(f136,plain,
! [X0,X1] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[],[f7,f6]) ).
fof(f162,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(forward_demodulation,[],[f136,f6]) ).
fof(f528,plain,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(op_c,mult(op_c,a)),b),
inference(superposition,[],[f10,f162]) ).
fof(f560,plain,
mult(mult(op_c,mult(op_c,a)),b) != mult(op_c,mult(op_c,mult(a,b))),
inference(forward_demodulation,[],[f528,f162]) ).
fof(f1198,plain,
mult(op_c,mult(op_c,mult(a,b))) != mult(op_c,mult(a,mult(op_c,b))),
inference(superposition,[],[f560,f133]) ).
fof(f1255,plain,
mult(op_c,mult(op_c,mult(a,b))) != mult(op_c,mult(op_c,mult(a,b))),
inference(forward_demodulation,[],[f1198,f81]) ).
fof(f1256,plain,
$false,
inference(trivial_inequality_removal,[],[f1255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n003.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 10:38:41 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 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
% 5.26/1.92 % (326130)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.26/1.92 % (326147)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1511344113:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.26/1.92 % (326145)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=692660449:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.26/1.92 % (326146)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2621494980:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.26/1.92 % (326143)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=2364632281:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.26/1.92 % (326144)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=704140771:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.26/1.92 % (326149)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1680205438:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.26/1.92 % (326148)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1185147437:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.26/1.92 % (326147)Instruction limit reached!
% 5.26/1.92 % (326147)------------------------------
% 5.26/1.92 % (326147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.92 % (326147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.92 % (326147)CaDiCaL version: 2.1.3
% 5.26/1.92 % (326147)Termination reason: Instruction limit
% 5.26/1.92 % (326147)Termination phase: Saturation
% 5.26/1.92 % (326147)Time elapsed: 0.092 s
% 5.26/1.92 % (326147)Peak memory usage: 89 MB
% 5.26/1.92 % (326147)Instructions burned: 182 (million)
% 5.26/1.92 % (326149)First to succeed.
% 5.26/1.92 % (326149)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-326130"
% 5.26/1.92 % (326146)Instruction limit reached!
% 5.26/1.92 % (326146)------------------------------
% 5.26/1.92 % (326146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.92 % (326146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.92 % (326146)CaDiCaL version: 2.1.3
% 5.26/1.92 % (326146)Termination reason: Instruction limit
% 5.26/1.92 % (326146)Termination phase: Saturation
% 5.26/1.92 % (326146)Time elapsed: 0.131 s
% 5.26/1.92 % (326146)Peak memory usage: 88 MB
% 5.26/1.92 % (326146)Instructions burned: 136 (million)
% 5.26/1.92 % (326157)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=565280846:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.26/1.92 % (326148)Instruction limit reached!
% 5.26/1.92 % (326148)------------------------------
% 5.26/1.92 % (326148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.92 % (326148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.92 % (326148)CaDiCaL version: 2.1.3
% 5.26/1.92 % (326148)Termination reason: Instruction limit
% 5.26/1.92 % (326148)Termination phase: Saturation
% 5.26/1.92 % (326148)Time elapsed: 0.252 s
% 5.26/1.92 % (326148)Peak memory usage: 90 MB
% 5.26/1.92 % (326148)Instructions burned: 259 (million)
% 5.26/1.92 % (326158)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=800262679:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 5.26/1.92 % (326149)Refutation found. Thanks to Tanya!
% 5.26/1.92 % SZS status Unsatisfiable for theBenchmark
% 5.26/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 5.26/1.92 % (326149)------------------------------
% 5.26/1.92 % (326149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.92 % (326149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.92 % (326149)CaDiCaL version: 2.1.3
% 5.26/1.92 % (326149)Termination reason: Refutation
% 5.26/1.92 % (326149)Time elapsed: 0.048 s
% 5.26/1.92 % (326149)Peak memory usage: 88 MB
% 5.26/1.92 % (326149)Instructions burned: 50 (million)
% 5.26/1.92 % (326149)------------------------------
% 5.26/1.92 % (326149)------------------------------
% 5.26/1.92 % (326130)Success in time 0.611 s
% 5.26/1.92 % Vampire exiting
%------------------------------------------------------------------------------