%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP596-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 10:14:57 AM UTC 2026
% Result : Unsatisfiable 2.78s 1.36s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 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 : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1)))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f4,plain,
! [X2,X0,X1] : multiply(inverse(double_divide(X0,inverse(double_divide(X2,X1)))),double_divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f5,plain,
! [X2,X0,X1] : multiply(multiply(inverse(double_divide(X2,X1)),X0),double_divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f6,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,X2),X0),double_divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f5,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : double_divide(X2,X1) = multiply(multiply(X0,X3),double_divide(X3,multiply(multiply(X1,X0),X2))),
inference(superposition,[],[f6,f6]) ).
fof(f8,plain,
! [X2,X0,X1] : multiply(X0,double_divide(double_divide(X2,X1),multiply(X1,X0))) = X2,
inference(superposition,[],[f6,f6]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X1,X2),double_divide(double_divide(X3,multiply(multiply(X2,X0),X1)),X0)) = X3,
inference(superposition,[],[f8,f6]) ).
fof(f22,plain,
! [X2,X0,X1] : double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2) = X0,
inference(superposition,[],[f7,f8]) ).
fof(f31,plain,
! [X2,X0,X1] : double_divide(double_divide(multiply(X0,X1),X2),multiply(X2,X0)) = X1,
inference(superposition,[],[f22,f7]) ).
fof(f34,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,double_divide(X0,multiply(X1,X2)))) = inverse(X0),
inference(superposition,[],[f2,f22]) ).
fof(f45,plain,
! [X2,X0,X1] : inverse(X0) = multiply(multiply(X1,X2),double_divide(multiply(X2,X0),X1)),
inference(superposition,[],[f2,f31]) ).
fof(f102,plain,
! [X2,X0,X1] : multiply(inverse(X0),double_divide(double_divide(multiply(X2,X0),X1),X1)) = X2,
inference(superposition,[],[f6,f45]) ).
fof(f126,plain,
! [X2,X0,X1] : multiply(X1,X0) = inverse(double_divide(multiply(X0,X2),multiply(X1,inverse(X2)))),
inference(superposition,[],[f34,f102]) ).
fof(f127,plain,
! [X2,X0,X1] : double_divide(X0,X2) = double_divide(multiply(X0,X1),multiply(X2,inverse(X1))),
inference(superposition,[],[f22,f102]) ).
fof(f140,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(multiply(X1,inverse(X2)),multiply(X0,X2)),
inference(forward_demodulation,[],[f126,f2]) ).
fof(f162,plain,
! [X2,X0,X1] : multiply(X0,X2) = double_divide(multiply(inverse(X2),double_divide(X0,X1)),X1),
inference(superposition,[],[f22,f127]) ).
fof(f269,plain,
! [X2,X0,X1] : double_divide(X0,X2) = multiply(double_divide(multiply(X0,X1),X2),X1),
inference(superposition,[],[f162,f102]) ).
fof(f297,plain,
! [X2,X0,X1] : double_divide(X1,X2) = multiply(X0,double_divide(X0,multiply(X2,X1))),
inference(superposition,[],[f269,f22]) ).
fof(f335,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(multiply(X0,X1)),
inference(superposition,[],[f297,f45]) ).
fof(f337,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X0,X1)),
inference(superposition,[],[f34,f297]) ).
fof(f397,plain,
! [X2,X0,X1] : double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2) = inverse(inverse(X0)),
inference(superposition,[],[f335,f34]) ).
fof(f408,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f397,f22]) ).
fof(f553,plain,
! [X2,X0,X1] : inverse(double_divide(X0,multiply(multiply(X1,double_divide(X2,X1)),X2))) = X0,
inference(superposition,[],[f9,f337]) ).
fof(f562,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,double_divide(X2,X1)),X2),X0) = X0,
inference(forward_demodulation,[],[f553,f2]) ).
fof(f577,plain,
! [X2,X0] : multiply(multiply(inverse(X2),X2),X0) = X0,
inference(forward_demodulation,[],[f562,f337]) ).
fof(f773,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f140,f577]) ).
fof(f815,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f773,f408]) ).
fof(f909,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f3,f815]) ).
fof(f910,plain,
$false,
inference(trivial_inequality_removal,[],[f909]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP596-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n015.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:11:15 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 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
% 2.78/1.36 % (1433411)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.78/1.36 % (1433507)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2819621914:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 2.78/1.36 % (1433507)First to succeed.
% 2.78/1.36 % (1433507)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1433411"
% 2.78/1.36 % (1433504)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1886523350:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 2.78/1.36 % (1433500)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=626358064:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 2.78/1.36 % (1433501)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1045278588:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 2.78/1.36 % (1433498)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=2530825926:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 2.78/1.36 % (1433505)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2894763533:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 2.78/1.36 % (1433502)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1059820139:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 2.78/1.36 % (1433502)Instruction limit reached!
% 2.78/1.36 % (1433502)------------------------------
% 2.78/1.36 % (1433502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.36 % (1433502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.36 % (1433502)CaDiCaL version: 2.1.3
% 2.78/1.36 % (1433502)Termination reason: Instruction limit
% 2.78/1.36 % (1433502)Termination phase: Saturation
% 2.78/1.36 % (1433502)Time elapsed: 0.080 s
% 2.78/1.36 % (1433502)Peak memory usage: 88 MB
% 2.78/1.36 % (1433502)Instructions burned: 137 (million)
% 2.78/1.36 % (1433504)Instruction limit reached!
% 2.78/1.36 % (1433504)------------------------------
% 2.78/1.36 % (1433504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.36 % (1433504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.36 % (1433504)CaDiCaL version: 2.1.3
% 2.78/1.36 % (1433504)Termination reason: Instruction limit
% 2.78/1.36 % (1433504)Termination phase: Saturation
% 2.78/1.36 % (1433504)Time elapsed: 0.102 s
% 2.78/1.36 % (1433504)Peak memory usage: 90 MB
% 2.78/1.36 % (1433504)Instructions burned: 182 (million)
% 2.78/1.36 % (1433507)Refutation found. Thanks to Tanya!
% 2.78/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.78/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.78/1.36 % (1433507)------------------------------
% 2.78/1.36 % (1433507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.36 % (1433507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.36 % (1433507)CaDiCaL version: 2.1.3
% 2.78/1.36 % (1433507)Termination reason: Refutation
% 2.78/1.36 % (1433507)Time elapsed: 0.015 s
% 2.78/1.36 % (1433507)Peak memory usage: 88 MB
% 2.78/1.36 % (1433507)Instructions burned: 42 (million)
% 2.78/1.36 % (1433507)------------------------------
% 2.78/1.36 % (1433507)------------------------------
% 2.78/1.36 % (1433411)Success in time 0.3 s
% 2.78/1.36 % Vampire exiting
%------------------------------------------------------------------------------