%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP502-1 : 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 : n013.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 10:17:58 AM UTC 2026
% Result : Unsatisfiable 2.63s 1.02s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f4,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X4,double_divide(X2,X4)))) = double_divide(double_divide(X1,inverse(X0)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X0)))),inverse(double_divide(X5,double_divide(X1,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : double_divide(inverse(X5),inverse(double_divide(X6,double_divide(X7,X6)))) = double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X1)))),inverse(double_divide(X4,double_divide(X0,X4))))),double_divide(inverse(double_divide(X7,inverse(double_divide(X5,double_divide(X8,double_divide(X2,X8)))))),inverse(double_divide(X9,double_divide(inverse(X3),X9))))),
inference(superposition,[],[f5,f5]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X2,X5) = double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X1)))),inverse(double_divide(X4,double_divide(X0,X4))))),double_divide(inverse(X5),inverse(double_divide(X6,double_divide(inverse(X3),X6))))),
inference(superposition,[],[f1,f5]) ).
fof(f27,plain,
! [X2,X8,X6,X7,X5] : double_divide(inverse(X5),inverse(double_divide(X6,double_divide(X7,X6)))) = double_divide(X2,double_divide(X7,inverse(double_divide(X5,double_divide(X8,double_divide(X2,X8)))))),
inference(forward_demodulation,[],[f11,f22]) ).
fof(f161,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0)),inverse(double_divide(X3,double_divide(inverse(X1),X3)))) = X2,
inference(superposition,[],[f1,f27]) ).
fof(f206,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X1,X0))),X2),X3))),X0) = X3,
inference(superposition,[],[f1,f161]) ).
fof(f255,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(X3,double_divide(inverse(double_divide(double_divide(X2,inverse(double_divide(X1,inverse(X1)))),X2)),X3)))) = X0,
inference(superposition,[],[f161,f206]) ).
fof(f347,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X2,inverse(X2)))),X1),X3))),X0) = X3,
inference(superposition,[],[f161,f255]) ).
fof(f349,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,X2) = double_divide(inverse(double_divide(double_divide(X3,inverse(double_divide(X4,inverse(X4)))),X3)),double_divide(double_divide(X1,inverse(double_divide(X0,X2))),X1)),
inference(superposition,[],[f206,f255]) ).
fof(f828,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,inverse(X0)) = double_divide(inverse(double_divide(double_divide(X3,inverse(double_divide(X4,inverse(X4)))),X3)),double_divide(double_divide(X1,inverse(double_divide(X2,inverse(X2)))),X1)),
inference(superposition,[],[f347,f255]) ).
fof(f869,plain,
! [X2,X0] : double_divide(X2,inverse(X2)) = double_divide(X0,inverse(X0)),
inference(forward_demodulation,[],[f828,f349]) ).
fof(f966,plain,
! [X0] : inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(X0,inverse(X0))),
inference(superposition,[],[f4,f869]) ).
fof(f975,plain,
$false,
inference(equality_resolution,[],[f966]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP502-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:05:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 2.63/1.01 % (4175495)Will run a generic schedule for satisfiability detection.
% 2.63/1.01 % (4175503)dis+10_1_sil=32000:sp=arity:random_seed=2042826652:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.63/1.01 % (4175501)% WARNING: option uhcvi not known.
% 2.63/1.01 % (4175504)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3324904442:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.63/1.01 % (4175500)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1037674447_2999 on theBenchmark for (2999ds/0Mi)
% 2.63/1.01 % (4175502)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2130043912:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.63/1.01 % (4175501)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3488821210:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.63/1.01 % TRYING [1]
% 2.63/1.01 % TRYING [2]
% 2.63/1.01 % TRYING [3]
% 2.63/1.01 % (4175506)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3171123499:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.63/1.01 % (4175505)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2069552042:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.63/1.01 % (4175503)Instruction limit reached!
% 2.63/1.01 % (4175503)------------------------------
% 2.63/1.01 % (4175503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/1.01 % (4175503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.01 % (4175503)CaDiCaL version: 2.1.3
% 2.63/1.01 % (4175503)Termination reason: Instruction limit
% 2.63/1.01 % (4175503)Termination phase: Saturation
% 2.63/1.01 % (4175503)Time elapsed: 0.029 s
% 2.63/1.01 % (4175503)Peak memory usage: 12 MB
% 2.63/1.01 % (4175503)Instructions burned: 105 (million)
% 2.63/1.01 % TRYING [4]
% 2.63/1.01 % (4175514)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1762309286:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.63/1.01 % TRYING [1]
% 2.63/1.01 % TRYING [2]
% 2.63/1.01 % TRYING [3]
% 2.63/1.01 % TRYING [4]
% 2.63/1.01 % (4175504)Instruction limit reached!
% 2.63/1.01 % (4175504)------------------------------
% 2.63/1.01 % (4175504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/1.01 % (4175504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.01 % (4175504)CaDiCaL version: 2.1.3
% 2.63/1.01 % (4175504)Termination reason: Instruction limit
% 2.63/1.01 % (4175504)Termination phase: Saturation
% 2.63/1.01 % (4175504)Time elapsed: 0.068 s
% 2.63/1.01 % (4175504)Peak memory usage: 12 MB
% 2.63/1.01 % (4175504)Instructions burned: 117 (million)
% 2.63/1.01 % (4175530)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1416068472:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.63/1.01 % (4175505)Instruction limit reached!
% 2.63/1.01 % (4175505)------------------------------
% 2.63/1.01 % (4175505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/1.01 % (4175505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.01 % (4175505)CaDiCaL version: 2.1.3
% 2.63/1.01 % (4175505)Termination reason: Instruction limit
% 2.63/1.01 % (4175505)Termination phase: Saturation
% 2.63/1.01 % (4175505)Time elapsed: 0.076 s
% 2.63/1.01 % (4175505)Peak memory usage: 13 MB
% 2.63/1.01 % (4175505)Instructions burned: 131 (million)
% 2.63/1.01 % (4175537)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=3673401588:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.63/1.01 % (4175506)Instruction limit reached!
% 2.63/1.01 % (4175506)------------------------------
% 2.63/1.01 % (4175506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/1.01 % (4175506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.01 % (4175506)CaDiCaL version: 2.1.3
% 2.63/1.01 % (4175506)Termination reason: Instruction limit
% 2.63/1.01 % (4175506)Termination phase: Saturation
% 2.63/1.01 % (4175506)Time elapsed: 0.104 s
% 2.63/1.01 % (4175506)Peak memory usage: 12 MB
% 2.63/1.01 % (4175506)Instructions burned: 160 (million)
% 2.63/1.01 % (4175550)ott-21_1_sil=16000:fs=off:random_seed=3677991733:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.63/1.01 % (4175530)Instruction limit reached!
% 2.63/1.01 % (4175530)------------------------------
% 2.63/1.01 % (4175530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/1.01 % (4175530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.02 % (4175530)CaDiCaL version: 2.1.3
% 2.63/1.02 % (4175530)Termination reason: Instruction limit
% 2.63/1.02 % (4175530)Termination phase: Saturation
% 2.63/1.02 % (4175530)Time elapsed: 0.079 s
% 2.63/1.02 % (4175530)Peak memory usage: 13 MB
% 2.63/1.02 % (4175530)Instructions burned: 132 (million)
% 2.63/1.02 % (4175573)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=121394727:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.63/1.02 % (4175550)Instruction limit reached!
% 2.63/1.02 % (4175550)------------------------------
% 2.63/1.02 % (4175550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/1.02 % (4175550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.02 % (4175550)CaDiCaL version: 2.1.3
% 2.63/1.02 % (4175550)Termination reason: Instruction limit
% 2.63/1.02 % (4175550)Termination phase: Saturation
% 2.63/1.02 % (4175550)Time elapsed: 0.107 s
% 2.63/1.02 % (4175550)Peak memory usage: 12 MB
% 2.63/1.02 % (4175550)Instructions burned: 182 (million)
% 2.63/1.02 % (4175597)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3783458625:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.63/1.02 % TRYING [1]
% 2.63/1.02 % TRYING [2]
% 2.63/1.02 % (4175514)Instruction limit reached!
% 2.63/1.02 % (4175514)------------------------------
% 2.63/1.02 % (4175514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/1.02 % (4175514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.02 % (4175514)CaDiCaL version: 2.1.3
% 2.63/1.02 % (4175514)Termination reason: Instruction limit
% 2.63/1.02 % (4175514)Termination phase: Finite model building SAT solving
% 2.63/1.02 % (4175514)Time elapsed: 0.236 s
% 2.63/1.02 % (4175514)Peak memory usage: 12 MB
% 2.63/1.02 % (4175514)Instructions burned: 716 (million)
% 2.63/1.02 % TRYING [3]
% 2.63/1.02 % (4175606)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3070135479:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.63/1.02 % TRYING [4]
% 2.63/1.02 % (4175573)Instruction limit reached!
% 2.63/1.02 % (4175573)------------------------------
% 2.63/1.02 % (4175573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/1.02 % (4175573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.02 % (4175573)CaDiCaL version: 2.1.3
% 2.63/1.02 % (4175573)Termination reason: Instruction limit
% 2.63/1.02 % (4175573)Termination phase: Saturation
% 2.63/1.02 % (4175573)Time elapsed: 0.237 s
% 2.63/1.02 % (4175573)Peak memory usage: 15 MB
% 2.63/1.02 % (4175573)Instructions burned: 478 (million)
% 2.63/1.02 % (4175610)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1104490752:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.63/1.02 % (4175537)Instruction limit reached!
% 2.63/1.02 % (4175537)------------------------------
% 2.63/1.02 % (4175537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/1.02 % (4175537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.02 % (4175537)CaDiCaL version: 2.1.3
% 2.63/1.02 % (4175537)Termination reason: Instruction limit
% 2.63/1.02 % (4175537)Termination phase: Saturation
% 2.63/1.02 % (4175537)Time elapsed: 0.340 s
% 2.63/1.02 % (4175537)Peak memory usage: 17 MB
% 2.63/1.02 % (4175537)Instructions burned: 686 (million)
% 2.63/1.02 % TRYING [14]
% 2.63/1.02 % (4175612)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1674312623:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 2.63/1.02 % (4175612) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4175495-4175612"...
% 2.63/1.02 % (4175612)...printing done.
% 2.63/1.02 % (4175612)Refutation found. Thanks to Tanya!
% 2.63/1.02 % SZS status Unsatisfiable for theBenchmark
% 2.63/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.02 % (4175612)------------------------------
% 2.63/1.02 % (4175612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/1.02 % (4175612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.02 % (4175612)CaDiCaL version: 2.1.3
% 2.63/1.02 % (4175612)Termination reason: Refutation
% 2.63/1.02 % (4175612)Time elapsed: 0.075 s
% 2.63/1.02 % (4175612)Peak memory usage: 13 MB
% 2.63/1.02 % (4175612)Instructions burned: 121 (million)
% 2.63/1.02 % (4175495)Success in time 0.591 s
% 2.63/1.02 % Vampire exiting
%------------------------------------------------------------------------------