%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP489-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 0.89s 0.59s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 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 : 8 ( 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 : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,plain,
! [X0] : double_divide(X0,identity) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f6,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f5,f4]) ).
fof(f8,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,[],[f6,f2,f2,f2,f2]) ).
fof(f9,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X1),identity)),
inference(superposition,[],[f1,f7]) ).
fof(f11,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity)),
inference(superposition,[],[f1,f7]) ).
fof(f13,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f11,f7]) ).
fof(f20,plain,
identity = double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),identity)),
inference(superposition,[],[f1,f13]) ).
fof(f23,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,identity),double_divide(double_divide(identity,X0),identity)),
inference(superposition,[],[f9,f20]) ).
fof(f32,plain,
! [X0] : identity = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),identity)),X0),double_divide(double_divide(X0,identity),identity)),
inference(superposition,[],[f11,f9]) ).
fof(f33,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),double_divide(double_divide(X0,identity),identity)),
inference(forward_demodulation,[],[f32,f20]) ).
fof(f42,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),double_divide(identity,X1)),identity)),
inference(superposition,[],[f1,f33]) ).
fof(f43,plain,
! [X1] : double_divide(double_divide(X1,identity),identity) = double_divide(double_divide(identity,X1),identity),
inference(forward_demodulation,[],[f42,f9]) ).
fof(f56,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X0),identity)),
inference(superposition,[],[f7,f43]) ).
fof(f100,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f23,f33]) ).
fof(f116,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(double_divide(identity,X0),identity)),
inference(superposition,[],[f23,f100]) ).
fof(f120,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(identity,double_divide(X0,identity)),identity)),
inference(superposition,[],[f11,f100]) ).
fof(f147,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(double_divide(X0,identity),identity)),
inference(superposition,[],[f116,f43]) ).
fof(f188,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X1),identity)) = double_divide(double_divide(identity,double_divide(X1,identity)),identity),
inference(superposition,[],[f1,f120]) ).
fof(f207,plain,
! [X1] : double_divide(X1,identity) = double_divide(double_divide(identity,double_divide(X1,identity)),identity),
inference(forward_demodulation,[],[f188,f9]) ).
fof(f246,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),X1),identity)),
inference(superposition,[],[f9,f147]) ).
fof(f253,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(identity,X0))),identity) = X0,
inference(superposition,[],[f1,f147]) ).
fof(f258,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(identity,X0))),identity) = X0,
inference(forward_demodulation,[],[f253,f100]) ).
fof(f324,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X0)))),identity),
inference(superposition,[],[f43,f258]) ).
fof(f328,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(superposition,[],[f207,f258]) ).
fof(f331,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(forward_demodulation,[],[f324,f258]) ).
fof(f388,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(superposition,[],[f328,f258]) ).
fof(f393,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(superposition,[],[f56,f328]) ).
fof(f498,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,[],[f8,f331]) ).
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,[],[f498,f331]) ).
fof(f541,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,f331]) ).
fof(f552,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,[],[f541,f331]) ).
fof(f615,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(double_divide(double_divide(identity,identity),X0),identity)) = X1,
inference(superposition,[],[f1,f393]) ).
fof(f633,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(identity,double_divide(double_divide(identity,identity),X0))) = X1,
inference(forward_demodulation,[],[f615,f331]) ).
fof(f643,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(identity,double_divide(identity,X0))) = X1,
inference(forward_demodulation,[],[f633,f100]) ).
fof(f650,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f643,f388]) ).
fof(f734,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f650,f650]) ).
fof(f919,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(identity,double_divide(double_divide(X0,identity),X1))),
inference(forward_demodulation,[],[f246,f331]) ).
fof(f924,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,X0))),double_divide(identity,double_divide(X0,X1))),
inference(superposition,[],[f919,f258]) ).
fof(f936,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X2,X0))),X2),identity),identity) = double_divide(X1,double_divide(identity,X0)),
inference(superposition,[],[f919,f1]) ).
fof(f1005,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X2,X0))),X2),identity)),
inference(forward_demodulation,[],[f936,f331]) ).
fof(f1014,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,X1))),
inference(forward_demodulation,[],[f924,f388]) ).
fof(f1040,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X2,X0))),X2) = double_divide(X1,double_divide(identity,X0)),
inference(forward_demodulation,[],[f1005,f734]) ).
fof(f1062,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,identity)),double_divide(X2,X0))),X2),
inference(forward_demodulation,[],[f1040,f331]) ).
fof(f1073,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(double_divide(identity,double_divide(X1,double_divide(X2,X0))),X2),
inference(forward_demodulation,[],[f1062,f734]) ).
fof(f1145,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(identity,X1)) = double_divide(identity,double_divide(X1,X0)),
inference(superposition,[],[f650,f1014]) ).
fof(f11173,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(X1,X0)),X2) = double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X3,X0))),X3),identity))),
inference(superposition,[],[f1073,f1]) ).
fof(f11487,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(X1,X0)),X2) = double_divide(X1,double_divide(double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X3,X0))),X3)),
inference(forward_demodulation,[],[f11173,f734]) ).
fof(f11586,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X1,X0)),X2) = double_divide(X1,double_divide(double_divide(X2,identity),double_divide(identity,X0))),
inference(forward_demodulation,[],[f11487,f1073]) ).
fof(f11626,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X1,X0)),X2) = double_divide(X1,double_divide(identity,double_divide(X0,X2))),
inference(forward_demodulation,[],[f11586,f1145]) ).
fof(f13933,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(superposition,[],[f552,f11626]) ).
fof(f14019,plain,
$false,
inference(trivial_inequality_removal,[],[f13933]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP489-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n002.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 10:08:37 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.44 Running first-order model finding
% 0.14/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.89/0.59 % (3309010)Will run a generic schedule for satisfiability detection.
% 0.89/0.59 % (3309017)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4292578636:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.89/0.59 % (3309016)% WARNING: option uhcvi not known.
% 0.89/0.59 % (3309016)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1042709086:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.89/0.59 % (3309015)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3887014597_2999 on theBenchmark for (2999ds/0Mi)
% 0.89/0.59 % (3309018)dis+10_1_sil=32000:sp=arity:random_seed=2706096787:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.89/0.59 % (3309019)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3728552905:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.89/0.59 % (3309021)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1191877488:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.89/0.59 % (3309020)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2257757546:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.89/0.59 % TRYING [1]
% 0.89/0.59 % TRYING [2]
% 0.89/0.59 % TRYING [3]
% 0.89/0.59 % TRYING [4]
% 0.89/0.59 % TRYING [5]
% 0.89/0.59 % (3309018)Instruction limit reached!
% 0.89/0.59 % (3309018)------------------------------
% 0.89/0.59 % (3309018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.59 % (3309018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.59 % (3309018)CaDiCaL version: 2.1.3
% 0.89/0.59 % (3309018)Termination reason: Instruction limit
% 0.89/0.59 % (3309018)Termination phase: Saturation
% 0.89/0.59 % (3309018)Time elapsed: 0.055 s
% 0.89/0.59 % (3309018)Peak memory usage: 12 MB
% 0.89/0.59 % (3309018)Instructions burned: 105 (million)
% 0.89/0.59 % (3309019)Instruction limit reached!
% 0.89/0.59 % (3309019)------------------------------
% 0.89/0.59 % (3309019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.59 % (3309019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.59 % (3309019)CaDiCaL version: 2.1.3
% 0.89/0.59 % (3309019)Termination reason: Instruction limit
% 0.89/0.59 % (3309019)Termination phase: Saturation
% 0.89/0.59 % (3309019)Time elapsed: 0.067 s
% 0.89/0.59 % (3309019)Peak memory usage: 12 MB
% 0.89/0.59 % (3309019)Instructions burned: 118 (million)
% 0.89/0.59 % (3309020)Instruction limit reached!
% 0.89/0.59 % (3309020)------------------------------
% 0.89/0.59 % (3309020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.59 % (3309020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.59 % (3309020)CaDiCaL version: 2.1.3
% 0.89/0.59 % (3309020)Termination reason: Instruction limit
% 0.89/0.59 % (3309020)Termination phase: Saturation
% 0.89/0.59 % (3309020)Time elapsed: 0.075 s
% 0.89/0.59 % (3309020)Peak memory usage: 12 MB
% 0.89/0.59 % (3309020)Instructions burned: 131 (million)
% 0.89/0.59 % (3309029)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4108292382:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.89/0.59 % TRYING [6]
% 0.89/0.59 % TRYING [1]
% 0.89/0.59 % TRYING [2]
% 0.89/0.59 % TRYING [3]
% 0.89/0.59 % (3309030)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2435014061:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.89/0.59 % TRYING [4]
% 0.89/0.59 % (3309021)Instruction limit reached!
% 0.89/0.59 % (3309021)------------------------------
% 0.89/0.59 % (3309021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.59 % (3309021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.59 % (3309021)CaDiCaL version: 2.1.3
% 0.89/0.59 % (3309021)Termination reason: Instruction limit
% 0.89/0.59 % (3309021)Termination phase: Saturation
% 0.89/0.59 % (3309021)Time elapsed: 0.095 s
% 0.89/0.59 % (3309021)Peak memory usage: 13 MB
% 0.89/0.59 % (3309021)Instructions burned: 160 (million)
% 0.89/0.59 % (3309017) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3309010-3309017"...
% 0.89/0.59 % (3309017)...printing done.
% 0.89/0.59 % (3309017)Refutation found. Thanks to Tanya!
% 0.89/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.89/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.89/0.60 % (3309017)------------------------------
% 0.89/0.60 % (3309017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (3309017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (3309017)CaDiCaL version: 2.1.3
% 0.89/0.60 % (3309017)Termination reason: Refutation
% 0.89/0.60 % (3309017)Time elapsed: 0.112 s
% 0.89/0.60 % (3309017)Peak memory usage: 14 MB
% 0.89/0.60 % (3309017)Instructions burned: 401 (million)
% 0.89/0.60 % (3309010)Success in time 0.146 s
% 0.89/0.60 % Vampire exiting
%------------------------------------------------------------------------------