TSTP Solution File: GRP456-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP456-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:24:35 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 64 (; 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f544,plain,
$false,
inference(subsumption_resolution,[],[f543,f10]) ).
fof(f10,plain,
sF1 != sF3,
inference(definition_folding,[],[f5,f9,f8,f7,f6]) ).
fof(f6,plain,
multiply(a3,b3) = sF0,
introduced(function_definition,[]) ).
fof(f7,plain,
multiply(sF0,c3) = sF1,
introduced(function_definition,[]) ).
fof(f8,plain,
multiply(b3,c3) = sF2,
introduced(function_definition,[]) ).
fof(f9,plain,
multiply(a3,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/tmp/tmp.kKWljKpAVT/Vampire---4.8_31473',prove_these_axioms_3) ).
fof(f543,plain,
sF1 = sF3,
inference(forward_demodulation,[],[f542,f9]) ).
fof(f542,plain,
sF1 = multiply(a3,sF2),
inference(superposition,[],[f127,f535]) ).
fof(f535,plain,
a3 = divide(sF1,sF2),
inference(forward_demodulation,[],[f529,f123]) ).
fof(f123,plain,
a3 = divide(sF0,b3),
inference(backward_demodulation,[],[f54,f116]) ).
fof(f116,plain,
! [X1] : multiply(identity,X1) = X1,
inference(backward_demodulation,[],[f109,f111]) ).
fof(f111,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f72,f109]) ).
fof(f72,plain,
! [X0] : divide(divide(multiply(identity,X0),identity),identity) = X0,
inference(backward_demodulation,[],[f51,f67]) ).
fof(f67,plain,
! [X2] : multiply(identity,divide(X2,identity)) = divide(multiply(identity,X2),identity),
inference(superposition,[],[f51,f51]) ).
fof(f51,plain,
! [X0] : divide(multiply(identity,divide(X0,identity)),identity) = X0,
inference(superposition,[],[f44,f12]) ).
fof(f12,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f2,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.kKWljKpAVT/Vampire---4.8_31473',identity) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/tmp/tmp.kKWljKpAVT/Vampire---4.8_31473',multiply) ).
fof(f44,plain,
! [X0,X1] : divide(multiply(identity,multiply(X0,X1)),X1) = X0,
inference(forward_demodulation,[],[f43,f2]) ).
fof(f43,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[],[f32,f2]) ).
fof(f32,plain,
! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f11,f4]) ).
fof(f11,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.kKWljKpAVT/Vampire---4.8_31473',single_axiom) ).
fof(f109,plain,
! [X1] : divide(multiply(identity,X1),identity) = X1,
inference(forward_demodulation,[],[f108,f67]) ).
fof(f108,plain,
! [X1] : multiply(identity,divide(X1,identity)) = X1,
inference(forward_demodulation,[],[f87,f4]) ).
fof(f87,plain,
! [X1] : multiply(divide(identity,identity),divide(X1,identity)) = X1,
inference(superposition,[],[f45,f4]) ).
fof(f45,plain,
! [X4,X5] : multiply(divide(identity,divide(X4,divide(X5,identity))),X4) = X5,
inference(forward_demodulation,[],[f35,f2]) ).
fof(f35,plain,
! [X4,X5] : divide(divide(identity,divide(X4,divide(X5,identity))),divide(identity,X4)) = X5,
inference(superposition,[],[f11,f4]) ).
fof(f54,plain,
a3 = divide(multiply(identity,sF0),b3),
inference(superposition,[],[f44,f6]) ).
fof(f529,plain,
divide(sF0,b3) = divide(sF1,sF2),
inference(superposition,[],[f480,f8]) ).
fof(f480,plain,
! [X21] : divide(sF1,multiply(X21,c3)) = divide(sF0,X21),
inference(superposition,[],[f263,f124]) ).
fof(f124,plain,
sF0 = divide(sF1,c3),
inference(backward_demodulation,[],[f57,f116]) ).
fof(f57,plain,
sF0 = divide(multiply(identity,sF1),c3),
inference(superposition,[],[f44,f7]) ).
fof(f263,plain,
! [X2,X3,X4] : divide(divide(X2,X3),X4) = divide(X2,multiply(X4,X3)),
inference(forward_demodulation,[],[f258,f118]) ).
fof(f118,plain,
! [X2,X1] : multiply(X2,divide(identity,X1)) = divide(X2,X1),
inference(backward_demodulation,[],[f13,f116]) ).
fof(f13,plain,
! [X2,X1] : multiply(X2,divide(identity,X1)) = divide(X2,multiply(identity,X1)),
inference(superposition,[],[f2,f2]) ).
fof(f258,plain,
! [X2,X3,X4] : divide(divide(X2,X3),X4) = multiply(X2,divide(identity,multiply(X4,X3))),
inference(backward_demodulation,[],[f158,f241]) ).
fof(f241,plain,
! [X2,X1] : divide(divide(identity,X2),X1) = divide(identity,multiply(X1,X2)),
inference(superposition,[],[f152,f2]) ).
fof(f152,plain,
! [X3,X4] : divide(X4,X3) = divide(identity,divide(X3,X4)),
inference(forward_demodulation,[],[f151,f111]) ).
fof(f151,plain,
! [X3,X4] : divide(X4,X3) = divide(identity,divide(X3,divide(X4,identity))),
inference(forward_demodulation,[],[f95,f116]) ).
fof(f95,plain,
! [X3,X4] : divide(identity,divide(X3,divide(X4,identity))) = divide(multiply(identity,X4),X3),
inference(superposition,[],[f44,f45]) ).
fof(f158,plain,
! [X2,X3,X4] : multiply(X2,divide(divide(identity,X3),X4)) = divide(divide(X2,X3),X4),
inference(backward_demodulation,[],[f122,f152]) ).
fof(f122,plain,
! [X2,X3,X4] : multiply(X2,divide(divide(identity,X3),X4)) = divide(divide(identity,divide(X3,X2)),X4),
inference(backward_demodulation,[],[f60,f116]) ).
fof(f60,plain,
! [X2,X3,X4] : multiply(identity,multiply(X2,divide(divide(identity,X3),X4))) = divide(divide(identity,divide(X3,X2)),X4),
inference(superposition,[],[f11,f44]) ).
fof(f127,plain,
! [X2,X1] : multiply(divide(X1,X2),X2) = X1,
inference(forward_demodulation,[],[f120,f116]) ).
fof(f120,plain,
! [X2,X1] : multiply(multiply(identity,divide(X1,X2)),X2) = X1,
inference(backward_demodulation,[],[f61,f116]) ).
fof(f61,plain,
! [X2,X1] : multiply(multiply(identity,divide(X1,multiply(identity,X2))),X2) = X1,
inference(forward_demodulation,[],[f52,f2]) ).
fof(f52,plain,
! [X2,X1] : divide(multiply(identity,divide(X1,multiply(identity,X2))),divide(identity,X2)) = X1,
inference(superposition,[],[f44,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP456-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.35 % Computer : n025.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 23:49:54 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.17/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.kKWljKpAVT/Vampire---4.8_31473
% 0.17/0.36 % (31616)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.42 % (31617)dis+10_2_av=off:bd=preordered:drc=off:nwc=1.2:sims=off:sp=reverse_frequency:to=lpo:tgt=ground_1169 on Vampire---4 for (1169ds/0Mi)
% 0.17/0.42 % (31622)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_392 on Vampire---4 for (392ds/0Mi)
% 0.17/0.42 % (31618)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.17/0.42 % (31621)dis+10_5:4_av=off:bd=off:drc=off:fde=unused:nwc=1.5:sims=off:to=lpo:tgt=ground_445 on Vampire---4 for (445ds/0Mi)
% 0.17/0.42 % (31620)lrs+10_10_av=off:bd=off:fde=unused:nwc=4.0:sims=off:sp=occurrence:to=lpo:stl=125_468 on Vampire---4 for (468ds/0Mi)
% 0.21/0.43 % (31623)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.21/0.43 % (31622)First to succeed.
% 0.21/0.43 % (31619)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.21/0.43 % (31622)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (31622)------------------------------
% 0.21/0.43 % (31622)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (31622)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (31622)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (31622)Memory used [KB]: 1151
% 0.21/0.43 % (31622)Time elapsed: 0.016 s
% 0.21/0.43 % (31622)------------------------------
% 0.21/0.43 % (31622)------------------------------
% 0.21/0.43 % (31616)Success in time 0.076 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------