%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP478-1 : 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 : n008.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 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 10 ( 2 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 : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2,
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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f4,plain,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X1,X1),inverse(divide(divide(divide(X2,X2),X3),divide(X0,divide(X3,X4))))),divide(X5,X0))),X4) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X3,X3),X4),divide(X0,divide(X4,divide(X2,X5))))) = divide(inverse(divide(divide(divide(X1,X1),X2),X0)),X5),
inference(superposition,[],[f1,f1]) ).
fof(f32,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)) = X2,
inference(superposition,[],[f1,f6]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,X3),divide(X1,divide(inverse(divide(divide(divide(X4,X4),X5),divide(X3,divide(X5,X6)))),X6))))) = X2,
inference(superposition,[],[f5,f6]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,X3),divide(X1,X3)))) = X2,
inference(forward_demodulation,[],[f34,f1]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X0,X3)),X4),divide(divide(X2,inverse(divide(divide(divide(X1,X1),X2),X0))),X4)) = X3,
inference(superposition,[],[f32,f32]) ).
fof(f81,plain,
! [X2,X3,X0,X4] : divide(divide(X0,X3),divide(X2,X3)) = divide(divide(X0,X4),divide(X2,X4)),
inference(superposition,[],[f32,f43]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X1)),X3)),X4),divide(divide(X2,X0),X4)) = X3,
inference(superposition,[],[f32,f81]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4] : divide(X2,X3) = divide(divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,X1))),X4),divide(X3,X4)),
inference(superposition,[],[f32,f81]) ).
fof(f684,plain,
! [X2,X3,X0,X1,X4] : divide(X0,X4) = divide(X0,divide(X1,inverse(divide(divide(divide(X2,X2),X1),divide(divide(X3,X3),X4))))),
inference(superposition,[],[f46,f121]) ).
fof(f873,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(X4,inverse(divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X3)))) = divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X1)),X3)),X7),divide(divide(X2,X0),X7)),
inference(superposition,[],[f116,f684]) ).
fof(f876,plain,
! [X3,X6,X4,X5] : divide(X4,inverse(divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X3)))) = X3,
inference(forward_demodulation,[],[f873,f116]) ).
fof(f957,plain,
! [X2,X3,X0,X1] : divide(X3,inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,X2),X1)))) = X3,
inference(superposition,[],[f876,f81]) ).
fof(f1116,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X0,X5),divide(X4,X5)) = divide(X0,divide(X4,inverse(divide(divide(divide(X1,X1),X2),divide(divide(X3,X3),X2))))),
inference(superposition,[],[f81,f957]) ).
fof(f1183,plain,
! [X0,X4,X5] : divide(X0,X4) = divide(divide(X0,X5),divide(X4,X5)),
inference(forward_demodulation,[],[f1116,f957]) ).
fof(f1264,plain,
! [X2,X0,X1] : inverse(divide(divide(divide(X2,X2),X1),divide(X0,X1))) = X0,
inference(superposition,[],[f43,f1183]) ).
fof(f1386,plain,
! [X2,X0] : inverse(divide(divide(X2,X2),X0)) = X0,
inference(forward_demodulation,[],[f1264,f1183]) ).
fof(f1454,plain,
! [X3,X0,X1] : divide(divide(X0,X3),divide(divide(X1,X1),X3)) = X0,
inference(superposition,[],[f116,f1386]) ).
fof(f1457,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[],[f1454,f1183]) ).
fof(f1567,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X1,inverse(divide(divide(X0,X0),X1))),
inference(superposition,[],[f876,f1457]) ).
fof(f1654,plain,
! [X2,X1] : divide(X1,X1) = divide(X2,X2),
inference(forward_demodulation,[],[f1567,f1386]) ).
fof(f1890,plain,
! [X0] : divide(X0,X0) != divide(inverse(a1),inverse(a1)),
inference(superposition,[],[f4,f1654]) ).
fof(f2062,plain,
$false,
inference(forward_subsumption_resolution,[],[f1890,f1654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP478-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n008.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 10:06:25 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.20/0.55 % (997366)Will run a generic schedule for satisfiability detection.
% 0.20/0.55 % (997375)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1002516909:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.55 % (997372)% WARNING: option uhcvi not known.
% 0.20/0.55 % (997372)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1675314588:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.55 % (997373)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=944374881:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.55 % (997371)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3754785277_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.55 % (997374)dis+10_1_sil=32000:sp=arity:random_seed=2549080925:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.55 % (997376)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=746527725:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.55 % (997377)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1680532760:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.55 % TRYING [1]
% 0.20/0.55 % TRYING [2]
% 0.20/0.55 % TRYING [3]
% 0.20/0.55 % TRYING [4]
% 0.20/0.55 % (997375)Instruction limit reached!
% 0.20/0.55 % (997375)------------------------------
% 0.20/0.55 % (997375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.55 % (997375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.55 % (997375)CaDiCaL version: 2.1.3
% 0.20/0.55 % (997375)Termination reason: Instruction limit
% 0.20/0.55 % (997375)Termination phase: Saturation
% 0.20/0.55 % (997375)Time elapsed: 0.037 s
% 0.20/0.55 % (997375)Peak memory usage: 12 MB
% 0.20/0.55 % (997375)Instructions burned: 118 (million)
% 0.20/0.55 % (997402)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1283165776:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.55 % TRYING [1]
% 0.20/0.55 % TRYING [2]
% 0.20/0.55 % TRYING [3]
% 0.20/0.55 % TRYING [4]
% 0.20/0.55 % (997374)Instruction limit reached!
% 0.20/0.55 % (997374)------------------------------
% 0.20/0.55 % (997374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.55 % (997374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.55 % (997374)CaDiCaL version: 2.1.3
% 0.20/0.55 % (997374)Termination reason: Instruction limit
% 0.20/0.55 % (997374)Termination phase: Saturation
% 0.20/0.55 % (997374)Time elapsed: 0.055 s
% 0.20/0.55 % (997374)Peak memory usage: 12 MB
% 0.20/0.55 % (997374)Instructions burned: 103 (million)
% 0.20/0.55 % (997373) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-997366-997373"...
% 0.20/0.55 % (997410)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3080066613:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.55 % (997373)...printing done.
% 0.20/0.55 % (997376)Instruction limit reached!
% 0.20/0.55 % (997376)------------------------------
% 0.20/0.55 % (997376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.55 % (997376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.55 % (997376)CaDiCaL version: 2.1.3
% 0.20/0.55 % (997376)Termination reason: Instruction limit
% 0.20/0.55 % (997376)Termination phase: Saturation
% 0.20/0.55 % (997376)Time elapsed: 0.076 s
% 0.20/0.55 % (997376)Peak memory usage: 13 MB
% 0.20/0.55 % (997376)Instructions burned: 131 (million)
% 0.20/0.55 % (997373)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (997373)------------------------------
% 0.20/0.55 % (997373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.55 % (997373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.55 % (997373)CaDiCaL version: 2.1.3
% 0.20/0.55 % (997373)Termination reason: Refutation
% 0.20/0.55 % (997373)Time elapsed: 0.075 s
% 0.20/0.55 % (997373)Peak memory usage: 13 MB
% 0.20/0.55 % (997373)Instructions burned: 139 (million)
% 0.20/0.55 % (997366)Success in time 0.121 s
% 0.20/0.55 % Vampire exiting
%------------------------------------------------------------------------------