%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP477-1 : 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 : n015.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 10:17:55 AM UTC 2026
% Result : Unsatisfiable 1.63s 0.84s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 155 ( 155 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X0,X4),divide(X5,X4))),divide(divide(X2,X1),inverse(divide(divide(divide(X1,X2),X3),divide(X0,X3))))) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))) = divide(inverse(divide(divide(divide(X1,X2),divide(X3,X4)),X0)),divide(X2,X1)),
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(X0,X3)))),X4),divide(X5,X4))),X0) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f38,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(X1,X2),X3),divide(divide(X0,divide(X2,X1)),X3))) = X0,
inference(superposition,[],[f6,f1]) ).
fof(f41,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)),divide(X2,X3)) = X4,
inference(superposition,[],[f1,f6]) ).
fof(f59,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(divide(X4,X6),divide(X0,X6))) = inverse(divide(divide(divide(inverse(divide(divide(divide(X1,X2),X3),divide(X4,X3))),divide(X2,X1)),X5),divide(X0,X5))),
inference(superposition,[],[f38,f5]) ).
fof(f64,plain,
! [X2,X0,X1,X6,X4,X5] : divide(X0,divide(X2,X1)) = divide(X0,divide(divide(X4,X5),inverse(divide(divide(divide(X5,X4),X6),divide(divide(X1,X2),X6))))),
inference(superposition,[],[f5,f38]) ).
fof(f66,plain,
! [X0,X6,X4,X5] : inverse(divide(divide(X4,X5),divide(X0,X5))) = inverse(divide(divide(X4,X6),divide(X0,X6))),
inference(forward_demodulation,[],[f59,f1]) ).
fof(f114,plain,
! [X2,X0,X1,X6] : divide(divide(inverse(divide(divide(divide(X1,X2),X0),X6)),divide(X2,X1)),X0) = X6,
inference(superposition,[],[f41,f1]) ).
fof(f594,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : divide(divide(X6,X7),inverse(divide(divide(divide(X7,X6),X8),divide(divide(X5,X4),X8)))) = divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),divide(X4,X5))),divide(X1,X0)),divide(X2,X3)),
inference(superposition,[],[f41,f64]) ).
fof(f600,plain,
! [X8,X6,X7,X4,X5] : divide(X4,X5) = divide(divide(X6,X7),inverse(divide(divide(divide(X7,X6),X8),divide(divide(X5,X4),X8)))),
inference(forward_demodulation,[],[f594,f41]) ).
fof(f1199,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X7,inverse(divide(divide(divide(inverse(divide(divide(divide(X3,X2),X4),divide(X5,X4))),divide(X2,X3)),X6),divide(divide(X1,X0),X6)))))),X5) = X7,
inference(superposition,[],[f7,f600]) ).
fof(f1289,plain,
! [X0,X1,X6,X7,X5] : divide(inverse(divide(divide(X0,X1),divide(X7,inverse(divide(divide(X5,X6),divide(divide(X1,X0),X6)))))),X5) = X7,
inference(forward_demodulation,[],[f1199,f1]) ).
fof(f1359,plain,
! [X2,X3,X0,X1] : divide(X2,X3) = divide(inverse(divide(divide(X0,X1),divide(X0,X1))),divide(X3,X2)),
inference(superposition,[],[f1289,f600]) ).
fof(f1450,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(inverse(divide(X0,X0)),divide(X2,X1)),
inference(superposition,[],[f1359,f114]) ).
fof(f1672,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X1,X0),inverse(divide(X2,X2))) = divide(inverse(divide(divide(X3,X4),divide(X3,X4))),divide(X0,X1)),
inference(superposition,[],[f1359,f1450]) ).
fof(f1677,plain,
! [X2,X0,X1] : divide(X1,X0) = divide(divide(X1,X0),inverse(divide(X2,X2))),
inference(forward_demodulation,[],[f1672,f1359]) ).
fof(f1771,plain,
! [X0,X4] : divide(X0,inverse(divide(X4,X4))) = X0,
inference(superposition,[],[f1677,f114]) ).
fof(f1879,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),inverse(divide(X2,X2))),X3)),divide(X1,X0)) = X3,
inference(superposition,[],[f114,f1677]) ).
fof(f1880,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(X2,X1),inverse(divide(X3,X3))),divide(X0,divide(X1,X2)))) = X0,
inference(superposition,[],[f38,f1677]) ).
fof(f1895,plain,
! [X2,X0,X1] : inverse(divide(divide(X2,X1),divide(X0,divide(X1,X2)))) = X0,
inference(forward_demodulation,[],[f1880,f1677]) ).
fof(f1896,plain,
! [X3,X0,X1] : divide(inverse(divide(divide(X0,X1),X3)),divide(X1,X0)) = X3,
inference(forward_demodulation,[],[f1879,f1677]) ).
fof(f1958,plain,
! [X0,X1] : divide(X1,inverse(inverse(divide(X0,X0)))) = X1,
inference(superposition,[],[f1771,f1771]) ).
fof(f2119,plain,
! [X0,X1] : divide(X1,inverse(inverse(inverse(divide(X0,X0))))) = X1,
inference(superposition,[],[f1958,f1771]) ).
fof(f2337,plain,
! [X0,X1] : divide(X1,inverse(inverse(inverse(inverse(inverse(divide(X0,X0))))))) = X1,
inference(superposition,[],[f2119,f1958]) ).
fof(f3290,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)),X2) = inverse(inverse(inverse(inverse(inverse(divide(X3,X3)))))),
inference(superposition,[],[f114,f2337]) ).
fof(f3309,plain,
! [X2,X3] : divide(X2,X2) = inverse(inverse(inverse(inverse(inverse(divide(X3,X3)))))),
inference(forward_demodulation,[],[f3290,f1896]) ).
fof(f3511,plain,
! [X2,X0,X1] : divide(X2,X1) = inverse(divide(divide(X1,X2),inverse(inverse(inverse(inverse(inverse(divide(X0,X0)))))))),
inference(superposition,[],[f1895,f3309]) ).
fof(f3523,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f2337,f3309]) ).
fof(f3527,plain,
! [X2,X1] : divide(X2,X1) = inverse(divide(X1,X2)),
inference(forward_demodulation,[],[f3511,f2337]) ).
fof(f4175,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(superposition,[],[f3527,f3523]) ).
fof(f4479,plain,
! [X2,X0,X1] : divide(divide(inverse(divide(inverse(X0),X2)),divide(X1,X1)),X0) = X2,
inference(superposition,[],[f114,f4175]) ).
fof(f4500,plain,
! [X2,X0,X1] : inverse(divide(divide(X1,X2),divide(X0,X2))) = inverse(inverse(divide(X0,X1))),
inference(superposition,[],[f66,f4175]) ).
fof(f4588,plain,
! [X2,X0,X1] : inverse(divide(divide(X1,X2),divide(X0,X2))) = inverse(divide(X1,X0)),
inference(forward_demodulation,[],[f4500,f3527]) ).
fof(f4607,plain,
! [X2,X0] : divide(inverse(divide(inverse(X0),X2)),X0) = X2,
inference(forward_demodulation,[],[f4479,f3523]) ).
fof(f4748,plain,
! [X2,X0,X1] : divide(X0,X1) = inverse(divide(divide(X1,X2),divide(X0,X2))),
inference(forward_demodulation,[],[f4588,f3527]) ).
fof(f4759,plain,
! [X2,X0] : divide(divide(X2,inverse(X0)),X0) = X2,
inference(forward_demodulation,[],[f4607,f3527]) ).
fof(f4871,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(X0,X2),divide(X1,X2)),
inference(forward_demodulation,[],[f4748,f3527]) ).
fof(f7185,plain,
! [X2,X0,X1] : divide(X0,divide(X2,X1)) = divide(divide(X0,inverse(X1)),X2),
inference(superposition,[],[f4871,f4759]) ).
fof(f10081,plain,
divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3)),
inference(superposition,[],[f4,f7185]) ).
fof(f10115,plain,
divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(c3),b3)),
inference(forward_demodulation,[],[f10081,f3527]) ).
fof(f10116,plain,
$false,
inference(trivial_inequality_removal,[],[f10115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP477-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.21/0.48 % Computer : n015.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sun Sep 27 10:09:01 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.52 Running first-order model finding
% 0.26/0.52 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
% 1.63/0.84 % (1425984)Will run a generic schedule for satisfiability detection.
% 1.63/0.84 % (1425991)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=796857304:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.63/0.84 % (1425989)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2507851648_2999 on theBenchmark for (2999ds/0Mi)
% 1.63/0.84 % (1425992)dis+10_1_sil=32000:sp=arity:random_seed=2321734654:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.63/0.84 % (1425995)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1073233905:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.63/0.84 % (1425993)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=791333194:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.63/0.84 % (1425994)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2260828681:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.63/0.84 % TRYING [1]
% 1.63/0.84 % TRYING [2]
% 1.63/0.84 % TRYING [3]
% 1.63/0.84 % TRYING [4]
% 1.63/0.84 % (1425990)% WARNING: option uhcvi not known.
% 1.63/0.84 % (1425990)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3803877093:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.63/0.84 % (1425992)Instruction limit reached!
% 1.63/0.84 % (1425992)------------------------------
% 1.63/0.84 % (1425992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.84 % (1425992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.84 % (1425992)CaDiCaL version: 2.1.3
% 1.63/0.84 % (1425992)Termination reason: Instruction limit
% 1.63/0.84 % (1425992)Termination phase: Saturation
% 1.63/0.84 % (1425992)Time elapsed: 0.091 s
% 1.63/0.84 % (1425992)Peak memory usage: 11 MB
% 1.63/0.84 % (1425992)Instructions burned: 104 (million)
% 1.63/0.84 % (1425993)Instruction limit reached!
% 1.63/0.84 % (1425993)------------------------------
% 1.63/0.84 % (1425993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.84 % (1425993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.84 % (1425993)CaDiCaL version: 2.1.3
% 1.63/0.84 % (1425993)Termination reason: Instruction limit
% 1.63/0.84 % (1425993)Termination phase: Saturation
% 1.63/0.84 % (1425993)Time elapsed: 0.109 s
% 1.63/0.84 % (1425993)Peak memory usage: 12 MB
% 1.63/0.84 % (1425993)Instructions burned: 116 (million)
% 1.63/0.84 % (1425994)Instruction limit reached!
% 1.63/0.84 % (1425994)------------------------------
% 1.63/0.84 % (1425994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.84 % (1425994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.84 % (1425994)CaDiCaL version: 2.1.3
% 1.63/0.84 % (1425994)Termination reason: Instruction limit
% 1.63/0.84 % (1425994)Termination phase: Saturation
% 1.63/0.84 % (1425994)Time elapsed: 0.125 s
% 1.63/0.84 % (1425994)Peak memory usage: 13 MB
% 1.63/0.84 % (1425994)Instructions burned: 131 (million)
% 1.63/0.84 % (1426003)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3648112814:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.63/0.84 % TRYING [1]
% 1.63/0.84 % TRYING [2]
% 1.63/0.84 % TRYING [3]
% 1.63/0.84 % (1426004)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1085045257:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.63/0.84 % TRYING [4]
% 1.63/0.84 % (1425995)Instruction limit reached!
% 1.63/0.84 % (1425995)------------------------------
% 1.63/0.84 % (1425995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.84 % (1425995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.84 % (1425995)CaDiCaL version: 2.1.3
% 1.63/0.84 % (1425995)Termination reason: Instruction limit
% 1.63/0.84 % (1425995)Termination phase: Saturation
% 1.63/0.84 % (1425995)Time elapsed: 0.161 s
% 1.63/0.84 % (1425995)Peak memory usage: 12 MB
% 1.63/0.84 % (1425995)Instructions burned: 159 (million)
% 1.63/0.84 % (1426005)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=965884102:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.63/0.84 % TRYING [5]
% 1.63/0.84 % (1426008)ott-21_1_sil=16000:fs=off:random_seed=124975946:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.63/0.84 % (1425991) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1425984-1425991"...
% 1.63/0.84 % (1425991)...printing done.
% 1.63/0.84 % (1425991)Refutation found. Thanks to Tanya!
% 1.63/0.84 % SZS status Unsatisfiable for theBenchmark
% 1.63/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.84 % (1425991)------------------------------
% 1.63/0.84 % (1425991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.84 % (1425991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.84 % (1425991)CaDiCaL version: 2.1.3
% 1.63/0.84 % (1425991)Termination reason: Refutation
% 1.63/0.84 % (1425991)Time elapsed: 0.266 s
% 1.63/0.84 % (1425991)Peak memory usage: 17 MB
% 1.63/0.84 % (1425991)Instructions burned: 592 (million)
% 1.63/0.84 % (1425984)Success in time 0.301 s
% 1.63/0.84 % Vampire exiting
%------------------------------------------------------------------------------