%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP495-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 10:17:57 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.80s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f7,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
fof(f9,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(X0,double_divide(X1,identity)))) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f11,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,double_divide(X0,identity)),double_divide(identity,identity)),identity)) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(double_divide(double_divide(X2,double_divide(double_divide(double_divide(X0,X3),double_divide(identity,identity)),double_divide(X1,X3))),double_divide(identity,identity)),X0)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,identity))),identity) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,double_divide(X1,identity)))) = X1,
inference(forward_demodulation,[],[f9,f6]) ).
fof(f15,plain,
! [X0] : double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,identity))) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),identity),
inference(superposition,[],[f13,f13]) ).
fof(f18,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,identity))) = double_divide(double_divide(identity,X1),double_divide(double_divide(X0,double_divide(identity,identity)),double_divide(X1,identity))),
inference(superposition,[],[f1,f13]) ).
fof(f19,plain,
! [X0] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity))) = X0,
inference(backward_demodulation,[],[f13,f15]) ).
fof(f20,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,identity)))) = X0,
inference(superposition,[],[f14,f6]) ).
fof(f21,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = X0,
inference(superposition,[],[f14,f6]) ).
fof(f29,plain,
! [X0] : double_divide(X0,double_divide(identity,identity)) = double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity)),
inference(superposition,[],[f21,f19]) ).
fof(f30,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
inference(superposition,[],[f21,f6]) ).
fof(f33,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(double_divide(X1,double_divide(identity,identity)),double_divide(identity,identity)),X0)) = X1,
inference(superposition,[],[f1,f21]) ).
fof(f34,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(identity,X1),double_divide(double_divide(X0,double_divide(identity,identity)),double_divide(X1,double_divide(identity,identity)))),
inference(superposition,[],[f1,f21]) ).
fof(f35,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f30,f6]) ).
fof(f40,plain,
! [X0] : double_divide(identity,double_divide(X0,double_divide(identity,identity))) = X0,
inference(backward_demodulation,[],[f19,f29]) ).
fof(f41,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X0,X2))) = X1,
inference(backward_demodulation,[],[f1,f35]) ).
fof(f44,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,double_divide(X0,identity)),identity),identity)) = X1,
inference(backward_demodulation,[],[f11,f35]) ).
fof(f45,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(double_divide(double_divide(X2,double_divide(double_divide(double_divide(X0,X3),identity),double_divide(X1,X3))),identity),X0)) = X2,
inference(backward_demodulation,[],[f12,f35]) ).
fof(f49,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,identity),identity)) = double_divide(double_divide(identity,X1),double_divide(double_divide(X0,identity),double_divide(X1,identity))),
inference(backward_demodulation,[],[f18,f35]) ).
fof(f50,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(backward_demodulation,[],[f20,f35]) ).
fof(f55,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(double_divide(X1,identity),identity),X0)) = X1,
inference(backward_demodulation,[],[f33,f35]) ).
fof(f56,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(identity,X1),double_divide(double_divide(X0,identity),double_divide(X1,identity))),
inference(backward_demodulation,[],[f34,f35]) ).
fof(f57,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f40,f35]) ).
fof(f61,plain,
! [X0] : double_divide(identity,X0) = double_divide(identity,double_divide(double_divide(X0,identity),identity)),
inference(forward_demodulation,[],[f49,f56]) ).
fof(f65,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(backward_demodulation,[],[f50,f57]) ).
fof(f66,plain,
! [X0] : double_divide(identity,X0) = double_divide(X0,identity),
inference(forward_demodulation,[],[f61,f57]) ).
fof(f67,plain,
! [X2,X3,X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(X2,double_divide(double_divide(double_divide(X0,X3),identity),double_divide(X1,X3))),identity),X0)) = X2,
inference(backward_demodulation,[],[f45,f65]) ).
fof(f69,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(X1,identity),identity),X0)) = X1,
inference(backward_demodulation,[],[f55,f65]) ).
fof(f72,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(identity,double_divide(X1,identity)),X0)) = X1,
inference(forward_demodulation,[],[f69,f66]) ).
fof(f74,plain,
! [X2,X3,X0,X1] : double_divide(X1,double_divide(double_divide(identity,double_divide(X2,double_divide(double_divide(double_divide(X0,X3),identity),double_divide(X1,X3)))),X0)) = X2,
inference(forward_demodulation,[],[f67,f66]) ).
fof(f76,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f72,f57]) ).
fof(f77,plain,
! [X2,X3,X0,X1] : double_divide(X1,double_divide(double_divide(identity,double_divide(X2,double_divide(double_divide(identity,double_divide(X0,X3)),double_divide(X1,X3)))),X0)) = X2,
inference(forward_demodulation,[],[f74,f66]) ).
fof(f248,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,identity),identity)),identity),double_divide(double_divide(identity,double_divide(X2,X0)),X1)) = X2,
inference(superposition,[],[f77,f44]) ).
fof(f262,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(double_divide(double_divide(X3,X1),identity),X2))))),X0) = X3,
inference(superposition,[],[f41,f77]) ).
fof(f263,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(double_divide(double_divide(X3,X1),identity),X2))),X0) = X3,
inference(forward_demodulation,[],[f262,f65]) ).
fof(f274,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(X1,identity),identity))),double_divide(double_divide(identity,double_divide(X2,X0)),X1)) = X2,
inference(forward_demodulation,[],[f248,f66]) ).
fof(f290,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(double_divide(identity,double_divide(X3,X1)),X2))),X0) = X3,
inference(forward_demodulation,[],[f263,f66]) ).
fof(f299,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,double_divide(X1,identity)))),double_divide(double_divide(identity,double_divide(X2,X0)),X1)) = X2,
inference(forward_demodulation,[],[f274,f66]) ).
fof(f313,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(double_divide(identity,double_divide(X2,X0)),X1)) = X2,
inference(forward_demodulation,[],[f299,f76]) ).
fof(f321,plain,
! [X3,X0] : double_divide(double_divide(X0,X3),X0) = X3,
inference(backward_demodulation,[],[f290,f313]) ).
fof(f512,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(identity,double_divide(c3,b3)),a3),identity),
inference(superposition,[],[f7,f66]) ).
fof(f515,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)),
inference(forward_demodulation,[],[f512,f66]) ).
fof(f529,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity))),
inference(forward_demodulation,[],[f515,f66]) ).
fof(f539,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(forward_demodulation,[],[f529,f66]) ).
fof(f1069,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,X1)),X2) = double_divide(X0,double_divide(identity,double_divide(X1,X2))),
inference(superposition,[],[f321,f313]) ).
fof(f1100,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(backward_demodulation,[],[f539,f1069]) ).
fof(f1101,plain,
$false,
inference(trivial_inequality_removal,[],[f1100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP495-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.59 % Computer : n006.cluster.edu
% 0.12/0.59 % Model : x86_64 x86_64
% 0.12/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.59 % Memory : 8046.5625MB
% 0.12/0.59 % OS : Linux 6.8.0-71-generic
% 0.12/0.59 % CPULimit : 300
% 0.12/0.59 % WCLimit : 300
% 0.12/0.59 % DateTime : Sun Sep 27 10:05:42 UTC 2026
% 0.12/0.59 % CPUTime :
% 0.12/0.59 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.63 Running first-order model finding
% 0.12/0.63 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
% 0.15/0.80 % (2753023)Will run a generic schedule for satisfiability detection.
% 0.15/0.80 % (2753040)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1782087738:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.80 % (2753035)% WARNING: option uhcvi not known.
% 0.15/0.80 % (2753034)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3614295879_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.80 % (2753038)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4285301142:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.80 % (2753035)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3133078910:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.80 % (2753036)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3268897542:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.80 % (2753037)dis+10_1_sil=32000:sp=arity:random_seed=290615221:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.80 % (2753039)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3712403759:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.80 % TRYING [1]
% 0.15/0.80 % TRYING [2]
% 0.15/0.80 % TRYING [3]
% 0.15/0.80 % TRYING [4]
% 0.15/0.80 % TRYING [5]
% 0.15/0.80 % (2753040)Instruction limit reached!
% 0.15/0.80 % (2753040)------------------------------
% 0.15/0.80 % (2753040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.80 % (2753040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.80 % (2753040)CaDiCaL version: 2.1.3
% 0.15/0.80 % (2753040)Termination reason: Instruction limit
% 0.15/0.80 % (2753040)Termination phase: Saturation
% 0.15/0.80 % (2753040)Time elapsed: 0.051 s
% 0.15/0.80 % (2753040)Peak memory usage: 12 MB
% 0.15/0.80 % (2753040)Instructions burned: 161 (million)
% 0.15/0.80 % TRYING [6]
% 0.15/0.80 % (2753051)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4192250404:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.15/0.80 % TRYING [1]
% 0.15/0.80 % TRYING [2]
% 0.15/0.80 % TRYING [3]
% 0.15/0.80 % (2753037)Instruction limit reached!
% 0.15/0.80 % (2753037)------------------------------
% 0.15/0.80 % (2753037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.80 % (2753037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.80 % (2753037)CaDiCaL version: 2.1.3
% 0.15/0.80 % (2753037)Termination reason: Instruction limit
% 0.15/0.80 % (2753037)Termination phase: Saturation
% 0.15/0.80 % (2753037)Time elapsed: 0.056 s
% 0.15/0.80 % (2753037)Peak memory usage: 12 MB
% 0.15/0.80 % (2753037)Instructions burned: 104 (million)
% 0.15/0.80 % TRYING [4]
% 0.15/0.80 % TRYING [5]
% 0.15/0.80 % (2753038)Instruction limit reached!
% 0.15/0.80 % (2753038)------------------------------
% 0.15/0.80 % (2753038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.80 % (2753038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.80 % (2753038)CaDiCaL version: 2.1.3
% 0.15/0.80 % (2753038)Termination reason: Instruction limit
% 0.15/0.80 % (2753038)Termination phase: Saturation
% 0.15/0.80 % (2753038)Time elapsed: 0.066 s
% 0.15/0.80 % (2753038)Peak memory usage: 12 MB
% 0.15/0.80 % (2753038)Instructions burned: 117 (million)
% 0.15/0.80 % (2753039)Instruction limit reached!
% 0.15/0.80 % (2753039)------------------------------
% 0.15/0.80 % (2753039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.80 % (2753039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.80 % (2753039)CaDiCaL version: 2.1.3
% 0.15/0.80 % (2753039)Termination reason: Instruction limit
% 0.15/0.80 % (2753039)Termination phase: Saturation
% 0.15/0.80 % (2753039)Time elapsed: 0.075 s
% 0.15/0.80 % (2753039)Peak memory usage: 12 MB
% 0.15/0.80 % (2753039)Instructions burned: 132 (million)
% 0.15/0.80 % (2753053)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=926160533:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.80 % (2753054)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3337220891:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.15/0.80 % TRYING [6]
% 0.15/0.80 % (2753055)ott-21_1_sil=16000:fs=off:random_seed=2311880954:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.15/0.80 % (2753053) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2753023-2753053"...
% 0.15/0.80 % (2753053)...printing done.
% 0.15/0.80 % (2753053)Refutation found. Thanks to Tanya!
% 0.15/0.80 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.80 % (2753053)------------------------------
% 0.15/0.80 % (2753053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.80 % (2753053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.80 % (2753053)CaDiCaL version: 2.1.3
% 0.15/0.80 % (2753053)Termination reason: Refutation
% 0.15/0.80 % (2753053)Time elapsed: 0.041 s
% 0.15/0.80 % (2753053)Peak memory usage: 12 MB
% 0.15/0.80 % (2753053)Instructions burned: 66 (million)
% 0.15/0.80 % (2753023)Success in time 0.163 s
% 0.15/0.80 % Vampire exiting
%------------------------------------------------------------------------------