TSTP Solution File: GRP542-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP542-1 : 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 : 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 01:25:48 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 11 (; 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,plain,
$false,
inference(trivial_inequality_removal,[],[f29]) ).
fof(f29,plain,
a2 != a2,
inference(backward_demodulation,[],[f7,f28]) ).
fof(f28,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f20,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.pKOa7uHtuO/Vampire---4.8_6526',identity) ).
fof(f20,plain,
! [X0] : divide(divide(identity,identity),divide(identity,X0)) = X0,
inference(superposition,[],[f11,f4]) ).
fof(f11,plain,
! [X3,X4] : divide(divide(identity,divide(identity,X3)),divide(X3,X4)) = X4,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox2/tmp/tmp.pKOa7uHtuO/Vampire---4.8_6526',single_axiom) ).
fof(f7,plain,
a2 != divide(identity,divide(identity,a2)),
inference(backward_demodulation,[],[f6,f4]) ).
fof(f6,plain,
a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)),
inference(definition_unfolding,[],[f5,f2,f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/tmp/tmp.pKOa7uHtuO/Vampire---4.8_6526',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/tmp/tmp.pKOa7uHtuO/Vampire---4.8_6526',multiply) ).
fof(f5,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/tmp/tmp.pKOa7uHtuO/Vampire---4.8_6526',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP542-1 : 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
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 01:27:02 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.pKOa7uHtuO/Vampire---4.8_6526
% 0.15/0.36 % (6646)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (6652)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)
% 0.21/0.42 % (6650)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)
% 0.21/0.42 % (6649)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.21/0.42 % (6648)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.21/0.42 % (6647)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)
% 0.21/0.42 % (6649)First to succeed.
% 0.21/0.42 % (6650)Also succeeded, but the first one will report.
% 0.21/0.42 % (6651)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)
% 0.21/0.43 % (6647)Also succeeded, but the first one will report.
% 0.21/0.43 % (6649)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 % (6649)------------------------------
% 0.21/0.43 % (6649)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (6649)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (6649)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (6649)Memory used [KB]: 895
% 0.21/0.43 % (6649)Time elapsed: 0.005 s
% 0.21/0.43 % (6649)------------------------------
% 0.21/0.43 % (6649)------------------------------
% 0.21/0.43 % (6646)Success in time 0.062 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------