%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP561-1 : 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 : n005.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 10:14:52 AM UTC 2026
% Result : Unsatisfiable 0.17s 1.20s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,plain,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X0,X1),
inference(reorient_equations,[],[f2]) ).
fof(f4,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f5,plain,
! [X2,X0,X1] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(divide(multiply(X0,X2),inverse(X1)),multiply(X0,X1)) = X2,
inference(superposition,[],[f5,f3]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(divide(multiply(X1,X0),X2),X3),divide(X1,X2)),X0) = X3,
inference(superposition,[],[f5,f5]) ).
fof(f9,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X2),X1),multiply(X0,X1)) = X2,
inference(forward_demodulation,[],[f7,f3]) ).
fof(f11,plain,
! [X2,X0,X1] : divide(X0,divide(multiply(X1,X0),multiply(X1,X2))) = X2,
inference(superposition,[],[f5,f9]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[],[f8,f3]) ).
fof(f45,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(X0),divide(divide(multiply(X1,inverse(X2)),X3),divide(X1,X3))),X0) = X2,
inference(superposition,[],[f23,f23]) ).
fof(f54,plain,
! [X2,X3,X0,X1] : divide(divide(X0,divide(divide(multiply(X1,inverse(X2)),X3),divide(X1,X3))),X0) = X2,
inference(superposition,[],[f8,f23]) ).
fof(f69,plain,
! [X2,X0] : divide(divide(X0,inverse(X2)),X0) = X2,
inference(forward_demodulation,[],[f54,f5]) ).
fof(f71,plain,
! [X2,X0] : multiply(divide(inverse(X0),inverse(X2)),X0) = X2,
inference(forward_demodulation,[],[f45,f5]) ).
fof(f73,plain,
! [X2,X0] : divide(multiply(X0,X2),X0) = X2,
inference(forward_demodulation,[],[f69,f3]) ).
fof(f74,plain,
! [X2,X0] : multiply(multiply(inverse(X0),X2),X0) = X2,
inference(forward_demodulation,[],[f71,f3]) ).
fof(f78,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f5,f73]) ).
fof(f90,plain,
! [X0,X1] : multiply(divide(X1,X1),X0) = X0,
inference(superposition,[],[f78,f73]) ).
fof(f123,plain,
! [X2,X0,X1] : divide(X1,divide(multiply(divide(X2,X2),X1),X0)) = X0,
inference(superposition,[],[f11,f90]) ).
fof(f140,plain,
! [X0,X1] : divide(X1,divide(X1,X0)) = X0,
inference(forward_demodulation,[],[f123,f90]) ).
fof(f147,plain,
! [X0,X1] : divide(X1,X1) = divide(X0,X0),
inference(superposition,[],[f140,f78]) ).
fof(f366,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X0)) = X1,
inference(superposition,[],[f73,f74]) ).
fof(f469,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(superposition,[],[f11,f366]) ).
fof(f515,plain,
multiply(inverse(a1),a1) != divide(b1,b1),
inference(superposition,[],[f4,f469]) ).
fof(f554,plain,
divide(b1,b1) != divide(a1,a1),
inference(forward_demodulation,[],[f515,f469]) ).
fof(f555,plain,
$false,
inference(forward_subsumption_resolution,[],[f554,f147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP561-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:07:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.17/1.20 % (3769137)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.17/1.20 % (3769227)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2332460627:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 0.17/1.20 % (3769226)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=112998916:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 0.17/1.20 % (3769223)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=551284174:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 0.17/1.20 % (3769225)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3176529452:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 0.17/1.20 % (3769220)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=3577180531:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 0.17/1.20 % (3769224)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=136098393:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 0.17/1.20 % (3769221)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=3193984920:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 0.17/1.20 % (3769227)First to succeed.
% 0.17/1.20 % (3769227)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3769137"
% 0.17/1.20 % (3769224)Also succeeded, but the first one will report.
% 0.17/1.20 % (3769225)Also succeeded, but the first one will report.
% 0.17/1.20 % (3769226)Also succeeded, but the first one will report.
% 0.17/1.20 % (3769227)Refutation found. Thanks to Tanya!
% 0.17/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.20 % (3769227)------------------------------
% 0.17/1.20 % (3769227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (3769227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (3769227)CaDiCaL version: 2.1.3
% 0.17/1.20 % (3769227)Termination reason: Refutation
% 0.17/1.20 % (3769227)Time elapsed: 0.016 s
% 0.17/1.20 % (3769227)Peak memory usage: 88 MB
% 0.17/1.20 % (3769227)Instructions burned: 25 (million)
% 0.17/1.20 % (3769227)------------------------------
% 0.17/1.20 % (3769227)------------------------------
% 0.17/1.20 % (3769137)Success in time 0.39 s
% 0.17/1.20 % Vampire exiting
%------------------------------------------------------------------------------