%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP522-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10:14:47 AM UTC 2026
% Result : Unsatisfiable 2.57s 1.33s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 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 : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f5,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f4]) ).
fof(f19,plain,
! [X2,X0,X1] : divide(X1,divide(divide(X0,divide(X2,X1)),X0)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f48,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f56,plain,
! [X0,X1] : inverse(X1) = divide(multiply(inverse(X0),X0),X1),
inference(superposition,[],[f3,f48]) ).
fof(f57,plain,
! [X2,X0,X1] : divide(X0,divide(inverse(X1),divide(X2,multiply(X0,X1)))) = X2,
inference(superposition,[],[f1,f48]) ).
fof(f109,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X1))) = X0,
inference(superposition,[],[f19,f3]) ).
fof(f127,plain,
! [X0,X1] : multiply(X1,divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f109,f48]) ).
fof(f134,plain,
! [X0,X1] : divide(X1,X1) = multiply(X0,inverse(X0)),
inference(superposition,[],[f127,f3]) ).
fof(f140,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(superposition,[],[f127,f48]) ).
fof(f153,plain,
! [X0,X1] : divide(X1,X1) = divide(X0,X0),
inference(superposition,[],[f134,f134]) ).
fof(f175,plain,
! [X0,X1] : divide(X1,X1) = inverse(divide(X0,X0)),
inference(superposition,[],[f153,f3]) ).
fof(f249,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(superposition,[],[f140,f127]) ).
fof(f364,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(superposition,[],[f249,f175]) ).
fof(f573,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = divide(X0,divide(inverse(X1),inverse(multiply(X0,X1)))),
inference(superposition,[],[f57,f56]) ).
fof(f605,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = divide(X0,multiply(inverse(X1),multiply(X0,X1))),
inference(forward_demodulation,[],[f573,f48]) ).
fof(f621,plain,
! [X2,X0] : divide(X0,X0) = multiply(inverse(X2),X2),
inference(forward_demodulation,[],[f605,f140]) ).
fof(f679,plain,
! [X0] : a2 != multiply(divide(X0,X0),a2),
inference(superposition,[],[f5,f621]) ).
fof(f687,plain,
$false,
inference(forward_subsumption_resolution,[],[f679,f364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP522-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n003.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 10:08:41 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.57/1.33 % (274451)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.57/1.33 % (274462)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1738818025:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.57/1.33 % (274462)First to succeed.
% 2.57/1.33 % (274462)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-274451"
% 2.57/1.33 % (274456)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=3031140361:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.57/1.33 % (274459)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2174534535:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.57/1.33 % (274457)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=3181255934:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.57/1.33 % (274458)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2726641578:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.57/1.33 % (274460)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1823979500:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.57/1.33 % (274461)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2507301115:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.57/1.33 % (274461)Also succeeded, but the first one will report.
% 2.57/1.33 % (274460)Also succeeded, but the first one will report.
% 2.57/1.33 % (274459)Also succeeded, but the first one will report.
% 2.57/1.33 % (274462)Refutation found. Thanks to Tanya!
% 2.57/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.57/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.57/1.33 % (274462)------------------------------
% 2.57/1.33 % (274462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.33 % (274462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.33 % (274462)CaDiCaL version: 2.1.3
% 2.57/1.33 % (274462)Termination reason: Refutation
% 2.57/1.33 % (274462)Time elapsed: 0.008 s
% 2.57/1.33 % (274462)Peak memory usage: 88 MB
% 2.57/1.33 % (274462)Instructions burned: 22 (million)
% 2.57/1.33 % (274462)------------------------------
% 2.57/1.33 % (274462)------------------------------
% 2.57/1.33 % (274451)Success in time 0.274 s
% 2.57/1.33 % Vampire exiting
%------------------------------------------------------------------------------