%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n020.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 10:14:06 AM UTC 2026
% Result : Unsatisfiable 6.87s 2.06s
% Output : Refutation 6.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 11 ( 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 : 60 ( 60 !; 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(f57,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(X0,divide(X3,divide(divide(X2,inverse(divide(divide(divide(X1,X1),X2),X0))),X4)))),X4) = X3,
inference(superposition,[],[f1,f32]) ).
fof(f79,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X0,divide(divide(X3,inverse(divide(divide(divide(X4,X4),X3),divide(divide(X1,X1),X2)))),X5)) = divide(X0,divide(X2,X5)),
inference(superposition,[],[f32,f57]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(divide(X4,inverse(divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X2)))),X3) = divide(divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,X3))),X7),divide(X1,X7)),
inference(superposition,[],[f32,f79]) ).
fof(f147,plain,
! [X2,X3,X6,X4,X5] : divide(X2,X3) = divide(divide(X4,inverse(divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X2)))),X3),
inference(forward_demodulation,[],[f143,f32]) ).
fof(f190,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X3,X3)))),X1) = X2,
inference(superposition,[],[f5,f147]) ).
fof(f267,plain,
! [X2,X3,X0] : divide(X0,divide(X2,X2)) = divide(X0,divide(X3,X3)),
inference(superposition,[],[f32,f190]) ).
fof(f429,plain,
! [X2,X3,X0,X1,X4] : divide(X3,X3) = divide(divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,X2))),X4),divide(X1,X4)),
inference(superposition,[],[f32,f267]) ).
fof(f436,plain,
! [X2,X3] : divide(X2,X2) = divide(X3,X3),
inference(forward_demodulation,[],[f429,f32]) ).
fof(f456,plain,
$false,
inference(unit_resulting_resolution,[],[f436,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP478-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:06:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.87/2.06 % (3151727)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.87/2.06 % (3151772)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3476333471:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.87/2.06 % (3151776)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4265051763:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.87/2.06 % (3151777)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3048432955:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.87/2.06 % (3151771)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2857189918:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.87/2.06 % (3151774)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=97315847:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.87/2.06 % (3151781)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3141693473:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.87/2.06 % (3151779)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4153058140:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.87/2.06 % (3151776)Instruction limit reached!
% 6.87/2.06 % (3151776)------------------------------
% 6.87/2.06 % (3151776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.06 % (3151776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.06 % (3151776)CaDiCaL version: 2.1.3
% 6.87/2.06 % (3151776)Termination reason: Instruction limit
% 6.87/2.06 % (3151776)Termination phase: Saturation
% 6.87/2.06 % (3151776)Time elapsed: 0.079 s
% 6.87/2.06 % (3151776)Peak memory usage: 89 MB
% 6.87/2.06 % (3151776)Instructions burned: 137 (million)
% 6.87/2.06 % (3151777)Instruction limit reached!
% 6.87/2.06 % (3151777)------------------------------
% 6.87/2.06 % (3151777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.06 % (3151777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.06 % (3151777)CaDiCaL version: 2.1.3
% 6.87/2.06 % (3151777)Termination reason: Instruction limit
% 6.87/2.06 % (3151777)Termination phase: Saturation
% 6.87/2.06 % (3151777)Time elapsed: 0.104 s
% 6.87/2.06 % (3151777)Peak memory usage: 89 MB
% 6.87/2.06 % (3151777)Instructions burned: 183 (million)
% 6.87/2.06 % (3151779)Instruction limit reached!
% 6.87/2.06 % (3151779)------------------------------
% 6.87/2.06 % (3151779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.06 % (3151779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.06 % (3151779)CaDiCaL version: 2.1.3
% 6.87/2.06 % (3151779)Termination reason: Instruction limit
% 6.87/2.06 % (3151779)Termination phase: Saturation
% 6.87/2.06 % (3151779)Time elapsed: 0.158 s
% 6.87/2.06 % (3151779)Peak memory usage: 91 MB
% 6.87/2.06 % (3151779)Instructions burned: 258 (million)
% 6.87/2.06 % (3151870)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2451880138:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 6.87/2.06 % (3151888)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2209855091:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 6.87/2.06 % (3151900)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3975067316:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 6.87/2.06 % (3151900)Instruction limit reached!
% 6.87/2.06 % (3151900)------------------------------
% 6.87/2.06 % (3151900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.06 % (3151900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.06 % (3151900)CaDiCaL version: 2.1.3
% 6.87/2.06 % (3151900)Termination reason: Instruction limit
% 6.87/2.06 % (3151900)Termination phase: Saturation
% 6.87/2.06 % (3151900)Time elapsed: 0.066 s
% 6.87/2.06 % (3151900)Peak memory usage: 89 MB
% 6.87/2.06 % (3151900)Instructions burned: 218 (million)
% 6.87/2.06 % (3151772)First to succeed.
% 6.87/2.06 % (3151772)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3151727"
% 6.87/2.06 % (3151904)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2030045779:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 6.87/2.06 % (3151904)Instruction limit reached!
% 6.87/2.06 % (3151904)------------------------------
% 6.87/2.06 % (3151904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.06 % (3151904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.06 % (3151904)CaDiCaL version: 2.1.3
% 6.87/2.06 % (3151904)Termination reason: Instruction limit
% 6.87/2.06 % (3151904)Termination phase: Saturation
% 6.87/2.06 % (3151904)Time elapsed: 0.093 s
% 6.87/2.06 % (3151904)Peak memory usage: 92 MB
% 6.87/2.06 % (3151904)Instructions burned: 317 (million)
% 6.87/2.06 % (3151781)Instruction limit reached!
% 6.87/2.06 % (3151781)------------------------------
% 6.87/2.06 % (3151781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.06 % (3151781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.06 % (3151781)CaDiCaL version: 2.1.3
% 6.87/2.06 % (3151781)Termination reason: Instruction limit
% 6.87/2.06 % (3151781)Termination phase: Saturation
% 6.87/2.06 % (3151781)Time elapsed: 0.623 s
% 6.87/2.06 % (3151781)Peak memory usage: 99 MB
% 6.87/2.06 % (3151781)Instructions burned: 1189 (million)
% 6.87/2.06 % (3151772)Refutation found. Thanks to Tanya!
% 6.87/2.06 % SZS status Unsatisfiable for theBenchmark
% 6.87/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 6.87/2.06 % (3151772)------------------------------
% 6.87/2.06 % (3151772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.06 % (3151772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.06 % (3151772)CaDiCaL version: 2.1.3
% 6.87/2.06 % (3151772)Termination reason: Refutation
% 6.87/2.06 % (3151772)Time elapsed: 0.476 s
% 6.87/2.06 % (3151772)Peak memory usage: 130 MB
% 6.87/2.06 % (3151772)Instructions burned: 1087 (million)
% 6.87/2.06 % (3151772)------------------------------
% 6.87/2.06 % (3151772)------------------------------
% 6.87/2.06 % (3151727)Success in time 0.874 s
% 6.87/2.06 % Vampire exiting
%------------------------------------------------------------------------------