TSTP Solution File: GRP548-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP548-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n008.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 01:25:49 EDT 2023
% Result : Unsatisfiable 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 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; 3 con; 0-2 aty)
% Number of variables : 36 (; 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f152,plain,
$false,
inference(trivial_inequality_removal,[],[f151]) ).
fof(f151,plain,
divide(a,divide(identity,b)) != divide(a,divide(identity,b)),
inference(backward_demodulation,[],[f6,f147]) ).
fof(f147,plain,
! [X21,X22,X23] : divide(X23,divide(X21,X22)) = divide(X22,divide(X21,X23)),
inference(forward_demodulation,[],[f133,f58]) ).
fof(f58,plain,
! [X2,X3] : divide(identity,divide(X2,X3)) = divide(X3,X2),
inference(superposition,[],[f30,f27]) ).
fof(f27,plain,
! [X4,X5] : divide(X4,divide(X4,X5)) = X5,
inference(backward_demodulation,[],[f18,f19]) ).
fof(f19,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[],[f13,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.GfzgQxa0QS/Vampire---4.8_15068',identity) ).
fof(f13,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f7,f4]) ).
fof(f7,plain,
! [X0,X1] : divide(divide(identity,identity),divide(divide(X0,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
file('/export/starexec/sandbox/tmp/tmp.GfzgQxa0QS/Vampire---4.8_15068',single_axiom) ).
fof(f18,plain,
! [X4,X5] : divide(divide(identity,divide(identity,X4)),divide(X4,X5)) = X5,
inference(superposition,[],[f1,f14]) ).
fof(f14,plain,
! [X4] : divide(X4,identity) = X4,
inference(forward_demodulation,[],[f12,f13]) ).
fof(f12,plain,
! [X3,X4] : divide(divide(identity,divide(divide(X3,X4),X3)),identity) = X4,
inference(superposition,[],[f1,f4]) ).
fof(f30,plain,
! [X6,X5] : divide(divide(X5,X6),X5) = divide(identity,X6),
inference(forward_demodulation,[],[f22,f14]) ).
fof(f22,plain,
! [X6,X5] : divide(divide(X5,X6),X5) = divide(identity,divide(X6,identity)),
inference(superposition,[],[f13,f13]) ).
fof(f133,plain,
! [X21,X22,X23] : divide(X23,divide(X21,X22)) = divide(identity,divide(divide(X21,X23),X22)),
inference(superposition,[],[f58,f62]) ).
fof(f62,plain,
! [X6,X4,X5] : divide(divide(X5,X6),X4) = divide(divide(X5,X4),X6),
inference(backward_demodulation,[],[f39,f58]) ).
fof(f39,plain,
! [X6,X4,X5] : divide(divide(X5,X6),X4) = divide(divide(identity,divide(X4,X5)),X6),
inference(superposition,[],[f27,f1]) ).
fof(f6,plain,
divide(a,divide(identity,b)) != divide(b,divide(identity,a)),
inference(definition_unfolding,[],[f5,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/tmp/tmp.GfzgQxa0QS/Vampire---4.8_15068',multiply) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/tmp/tmp.GfzgQxa0QS/Vampire---4.8_15068',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP548-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n008.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 01:44:02 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.GfzgQxa0QS/Vampire---4.8_15068
% 0.16/0.38 % (15218)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (15222)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)
% 0.23/0.44 % (15221)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.23/0.44 % (15224)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)
% 0.23/0.44 % (15220)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.23/0.44 % (15223)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)
% 0.23/0.44 % (15225)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.23/0.44 % (15219)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)
% 0.23/0.44 % (15221)First to succeed.
% 0.23/0.44 % (15224)Also succeeded, but the first one will report.
% 0.23/0.44 % (15220)Also succeeded, but the first one will report.
% 0.23/0.44 % (15221)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44 % (15221)------------------------------
% 0.23/0.44 % (15221)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (15221)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (15221)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (15221)Memory used [KB]: 1023
% 0.23/0.44 % (15221)Time elapsed: 0.008 s
% 0.23/0.44 % (15221)------------------------------
% 0.23/0.44 % (15221)------------------------------
% 0.23/0.44 % (15218)Success in time 0.066 s
% 0.23/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------