%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP708-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 10:18:37 AM UTC 2026
% Result : Unsatisfiable 0.86s 0.63s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(mult(mult(op_c,op_c),X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
fof(f10,negated_conjecture,
mult(a,mult(b,op_c)) != mult(mult(a,b),op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f35,plain,
mult(a,mult(b,op_c)) != mult(op_c,mult(a,b)),
inference(superposition,[],[f10,f8]) ).
fof(f38,plain,
mult(op_c,mult(a,b)) != mult(a,mult(op_c,b)),
inference(forward_demodulation,[],[f35,f8]) ).
fof(f107,plain,
! [X0,X1] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[],[f7,f6]) ).
fof(f116,plain,
! [X2,X0,X1] : ld(mult(X0,mult(X1,X0)),mult(X0,mult(X1,mult(X0,X2)))) = X2,
inference(superposition,[],[f2,f7]) ).
fof(f125,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(forward_demodulation,[],[f107,f6]) ).
fof(f777,plain,
! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(mult(op_c,mult(op_c,X0)),X1),
inference(forward_demodulation,[],[f9,f125]) ).
fof(f778,plain,
! [X0,X1] : mult(mult(op_c,mult(op_c,X0)),X1) = mult(op_c,mult(op_c,mult(X0,X1))),
inference(forward_demodulation,[],[f777,f125]) ).
fof(f1551,plain,
! [X0,X1] : mult(mult(op_c,mult(X0,op_c)),X1) = mult(op_c,mult(op_c,mult(X0,X1))),
inference(superposition,[],[f778,f8]) ).
fof(f1586,plain,
! [X0,X1] : ld(mult(op_c,mult(op_c,X0)),mult(op_c,mult(op_c,mult(X0,X1)))) = X1,
inference(superposition,[],[f2,f778]) ).
fof(f1683,plain,
! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(op_c,mult(op_c,mult(X0,X1))),
inference(forward_demodulation,[],[f1551,f7]) ).
fof(f5100,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = ld(mult(op_c,mult(op_c,op_c)),mult(op_c,mult(op_c,mult(op_c,mult(X0,mult(op_c,X1)))))),
inference(superposition,[],[f1586,f1683]) ).
fof(f5102,plain,
! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(op_c,mult(X0,X1)),
inference(forward_demodulation,[],[f5100,f116]) ).
fof(f5298,plain,
mult(op_c,mult(a,b)) != mult(op_c,mult(a,b)),
inference(superposition,[],[f38,f5102]) ).
fof(f5364,plain,
$false,
inference(trivial_inequality_removal,[],[f5298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP708-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 % Computer : n009.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 10:36:59 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.46 Running first-order model finding
% 0.16/0.46 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/0.63 % (1841063)Will run a generic schedule for satisfiability detection.
% 0.86/0.63 % (1841070)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2974583449:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.86/0.63 % (1841068)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3287874022_2999 on theBenchmark for (2999ds/0Mi)
% 0.86/0.63 % TRYING [1]
% 0.86/0.63 % TRYING [2]
% 0.86/0.63 % TRYING [3]
% 0.86/0.63 % (1841069)% WARNING: option uhcvi not known.
% 0.86/0.63 % TRYING [4]
% 0.86/0.63 % (1841072)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2086743826:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.86/0.63 % (1841074)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2262662401:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.86/0.63 % (1841073)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2057764553:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.86/0.63 % (1841069)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1460866040:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.86/0.63 % (1841071)dis+10_1_sil=32000:sp=arity:random_seed=261268399:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.86/0.63 % TRYING [5]
% 0.86/0.63 % TRYING [6]
% 0.86/0.63 % (1841071)Instruction limit reached!
% 0.86/0.63 % (1841071)------------------------------
% 0.86/0.63 % (1841071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.63 % (1841071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.63 % (1841071)CaDiCaL version: 2.1.3
% 0.86/0.63 % (1841071)Termination reason: Instruction limit
% 0.86/0.63 % (1841071)Termination phase: Saturation
% 0.86/0.63 % (1841071)Time elapsed: 0.096 s
% 0.86/0.63 % (1841071)Peak memory usage: 12 MB
% 0.86/0.63 % (1841071)Instructions burned: 103 (million)
% 0.86/0.63 % (1841070) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1841063-1841070"...
% 0.86/0.63 % (1841070)...printing done.
% 0.86/0.63 % (1841072)Instruction limit reached!
% 0.86/0.63 % (1841072)------------------------------
% 0.86/0.63 % (1841072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.63 % (1841072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.63 % (1841072)CaDiCaL version: 2.1.3
% 0.86/0.63 % (1841072)Termination reason: Instruction limit
% 0.86/0.63 % (1841072)Termination phase: Saturation
% 0.86/0.63 % (1841072)Time elapsed: 0.110 s
% 0.86/0.63 % (1841072)Peak memory usage: 12 MB
% 0.86/0.63 % (1841072)Instructions burned: 117 (million)
% 0.86/0.63 % (1841070)Refutation found. Thanks to Tanya!
% 0.86/0.63 % SZS status Unsatisfiable for theBenchmark
% 0.86/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 0.86/0.63 % (1841070)------------------------------
% 0.86/0.63 % (1841070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.63 % (1841070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.63 % (1841070)CaDiCaL version: 2.1.3
% 0.86/0.63 % (1841070)Termination reason: Refutation
% 0.86/0.63 % (1841070)Time elapsed: 0.124 s
% 0.86/0.63 % (1841070)Peak memory usage: 13 MB
% 0.86/0.63 % (1841070)Instructions burned: 277 (million)
% 0.86/0.63 % (1841063)Success in time 0.149 s
% 0.86/0.63 % Vampire exiting
%------------------------------------------------------------------------------