TSTP Solution File: GRP492-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP492-1 : 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 : n017.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 01:24:54 EDT 2023
% Result : Unsatisfiable 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 13
% Syntax : Number of formulae : 79 ( 79 unt; 0 def)
% Number of atoms : 79 ( 78 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 47 (; 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1950,plain,
$false,
inference(subsumption_resolution,[],[f1949,f16]) ).
fof(f16,plain,
sF3 != sF7,
inference(definition_folding,[],[f6,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
double_divide(b3,a3) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
double_divide(sF0,identity) = sF1,
introduced(function_definition,[]) ).
fof(f10,plain,
double_divide(c3,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f11,plain,
double_divide(sF2,identity) = sF3,
introduced(function_definition,[]) ).
fof(f12,plain,
double_divide(c3,b3) = sF4,
introduced(function_definition,[]) ).
fof(f13,plain,
double_divide(sF4,identity) = sF5,
introduced(function_definition,[]) ).
fof(f14,plain,
double_divide(sF5,a3) = sF6,
introduced(function_definition,[]) ).
fof(f15,plain,
double_divide(sF6,identity) = sF7,
introduced(function_definition,[]) ).
fof(f6,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/tmp/tmp.6wKBSOSmAQ/Vampire---4.8_9776',multiply) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/tmp/tmp.6wKBSOSmAQ/Vampire---4.8_9776',prove_these_axioms_3) ).
fof(f1949,plain,
sF3 = sF7,
inference(forward_demodulation,[],[f1945,f1787]) ).
fof(f1787,plain,
sF3 = double_divide(sF0,double_divide(identity,c3)),
inference(superposition,[],[f1692,f1567]) ).
fof(f1567,plain,
double_divide(identity,c3) = double_divide(sF3,sF0),
inference(superposition,[],[f1565,f1381]) ).
fof(f1381,plain,
sF0 = double_divide(double_divide(identity,c3),sF3),
inference(forward_demodulation,[],[f1367,f159]) ).
fof(f159,plain,
sF3 = double_divide(identity,sF2),
inference(forward_demodulation,[],[f154,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
file('/export/starexec/sandbox/tmp/tmp.6wKBSOSmAQ/Vampire---4.8_9776',single_axiom) ).
fof(f154,plain,
! [X1] : double_divide(identity,sF2) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),double_divide(sF3,identity)))),
inference(superposition,[],[f1,f119]) ).
fof(f119,plain,
double_divide(sF3,identity) = double_divide(double_divide(identity,sF2),identity),
inference(superposition,[],[f106,f11]) ).
fof(f106,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),identity),
inference(backward_demodulation,[],[f50,f101]) ).
fof(f101,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f97,f63]) ).
fof(f63,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(forward_demodulation,[],[f59,f7]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/tmp/tmp.6wKBSOSmAQ/Vampire---4.8_9776',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/tmp/tmp.6wKBSOSmAQ/Vampire---4.8_9776',identity) ).
fof(f59,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(superposition,[],[f1,f58]) ).
fof(f58,plain,
identity = double_divide(double_divide(double_divide(identity,identity),identity),identity),
inference(forward_demodulation,[],[f55,f7]) ).
fof(f55,plain,
double_divide(identity,double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,identity),identity),identity),
inference(superposition,[],[f50,f7]) ).
fof(f97,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,identity)))),
inference(superposition,[],[f63,f74]) ).
fof(f74,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
inference(forward_demodulation,[],[f64,f7]) ).
fof(f64,plain,
double_divide(double_divide(identity,identity),identity) = double_divide(identity,double_divide(identity,double_divide(identity,identity))),
inference(superposition,[],[f63,f58]) ).
fof(f50,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f7]) ).
fof(f1367,plain,
sF0 = double_divide(double_divide(identity,c3),double_divide(identity,sF2)),
inference(backward_demodulation,[],[f748,f1349]) ).
fof(f1349,plain,
sF2 = double_divide(identity,sF3),
inference(backward_demodulation,[],[f321,f1325]) ).
fof(f1325,plain,
sF2 = double_divide(sF3,identity),
inference(superposition,[],[f1041,f159]) ).
fof(f1041,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(forward_demodulation,[],[f1027,f101]) ).
fof(f1027,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = X0,
inference(superposition,[],[f385,f988]) ).
fof(f988,plain,
! [X8] : identity = double_divide(double_divide(identity,X8),X8),
inference(forward_demodulation,[],[f987,f63]) ).
fof(f987,plain,
! [X8] : identity = double_divide(double_divide(identity,X8),double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X8,identity))))),
inference(forward_demodulation,[],[f863,f386]) ).
fof(f386,plain,
! [X1] : double_divide(identity,double_divide(X1,identity)) = double_divide(identity,double_divide(identity,X1)),
inference(superposition,[],[f381,f235]) ).
fof(f235,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(identity,X0),identity),
inference(forward_demodulation,[],[f218,f101]) ).
fof(f218,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[],[f1,f124]) ).
fof(f124,plain,
! [X3] : identity = double_divide(double_divide(X3,identity),double_divide(double_divide(identity,X3),identity)),
inference(superposition,[],[f7,f106]) ).
fof(f381,plain,
! [X2] : double_divide(identity,X2) = double_divide(X2,identity),
inference(forward_demodulation,[],[f377,f63]) ).
fof(f377,plain,
! [X2] : double_divide(X2,identity) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X2,identity))))),
inference(superposition,[],[f63,f288]) ).
fof(f288,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(identity,double_divide(X0,identity)),
inference(backward_demodulation,[],[f106,f235]) ).
fof(f863,plain,
! [X8] : identity = double_divide(double_divide(identity,X8),double_divide(identity,double_divide(double_divide(identity,double_divide(X8,identity)),identity))),
inference(superposition,[],[f385,f101]) ).
fof(f385,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X2,X1)))) = X2,
inference(backward_demodulation,[],[f1,f381]) ).
fof(f321,plain,
double_divide(sF3,identity) = double_divide(identity,sF3),
inference(forward_demodulation,[],[f295,f11]) ).
fof(f295,plain,
double_divide(sF3,identity) = double_divide(identity,double_divide(sF2,identity)),
inference(superposition,[],[f235,f159]) ).
fof(f748,plain,
sF0 = double_divide(double_divide(identity,c3),double_divide(identity,double_divide(identity,sF3))),
inference(forward_demodulation,[],[f742,f386]) ).
fof(f742,plain,
sF0 = double_divide(double_divide(identity,c3),double_divide(identity,double_divide(sF3,identity))),
inference(superposition,[],[f52,f17]) ).
fof(f17,plain,
identity = double_divide(sF0,sF1),
inference(superposition,[],[f7,f9]) ).
fof(f52,plain,
! [X7] : double_divide(double_divide(identity,c3),double_divide(identity,double_divide(sF3,double_divide(X7,sF1)))) = X7,
inference(forward_demodulation,[],[f25,f11]) ).
fof(f25,plain,
! [X7] : double_divide(double_divide(identity,c3),double_divide(identity,double_divide(double_divide(sF2,identity),double_divide(X7,sF1)))) = X7,
inference(superposition,[],[f1,f10]) ).
fof(f1565,plain,
! [X68] : double_divide(sF3,double_divide(X68,sF3)) = X68,
inference(forward_demodulation,[],[f965,f1439]) ).
fof(f1439,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(backward_demodulation,[],[f63,f1312]) ).
fof(f1312,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(backward_demodulation,[],[f235,f1041]) ).
fof(f965,plain,
! [X68] : double_divide(sF3,double_divide(identity,double_divide(identity,double_divide(X68,sF3)))) = X68,
inference(forward_demodulation,[],[f964,f159]) ).
fof(f964,plain,
! [X68] : double_divide(double_divide(identity,sF2),double_divide(identity,double_divide(identity,double_divide(X68,sF3)))) = X68,
inference(forward_demodulation,[],[f837,f101]) ).
fof(f837,plain,
! [X68] : double_divide(double_divide(identity,sF2),double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X68,sF3)))) = X68,
inference(superposition,[],[f385,f18]) ).
fof(f18,plain,
identity = double_divide(sF2,sF3),
inference(superposition,[],[f7,f11]) ).
fof(f1692,plain,
! [X2,X3] : double_divide(X2,double_divide(X3,X2)) = X3,
inference(superposition,[],[f1512,f1439]) ).
fof(f1512,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,X0)))) = X1,
inference(forward_demodulation,[],[f1505,f101]) ).
fof(f1505,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(X0,double_divide(X1,X0)))) = X1,
inference(superposition,[],[f385,f1439]) ).
fof(f1945,plain,
sF7 = double_divide(sF0,double_divide(identity,c3)),
inference(superposition,[],[f1746,f1832]) ).
fof(f1832,plain,
sF0 = double_divide(double_divide(identity,c3),sF7),
inference(forward_demodulation,[],[f1831,f189]) ).
fof(f189,plain,
sF7 = double_divide(identity,sF6),
inference(forward_demodulation,[],[f184,f1]) ).
fof(f184,plain,
! [X1] : double_divide(identity,sF6) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),double_divide(sF7,identity)))),
inference(superposition,[],[f1,f121]) ).
fof(f121,plain,
double_divide(sF7,identity) = double_divide(double_divide(identity,sF6),identity),
inference(superposition,[],[f106,f15]) ).
fof(f1831,plain,
sF0 = double_divide(double_divide(identity,c3),double_divide(identity,sF6)),
inference(forward_demodulation,[],[f1827,f14]) ).
fof(f1827,plain,
sF0 = double_divide(double_divide(identity,c3),double_divide(identity,double_divide(sF5,a3))),
inference(superposition,[],[f53,f1812]) ).
fof(f1812,plain,
a3 = double_divide(sF0,b3),
inference(superposition,[],[f1692,f1772]) ).
fof(f1772,plain,
b3 = double_divide(a3,sF0),
inference(superposition,[],[f1692,f8]) ).
fof(f53,plain,
! [X8] : double_divide(double_divide(identity,c3),double_divide(identity,double_divide(sF5,double_divide(X8,b3)))) = X8,
inference(forward_demodulation,[],[f26,f13]) ).
fof(f26,plain,
! [X8] : double_divide(double_divide(identity,c3),double_divide(identity,double_divide(double_divide(sF4,identity),double_divide(X8,b3)))) = X8,
inference(superposition,[],[f1,f12]) ).
fof(f1746,plain,
! [X2,X3] : double_divide(double_divide(X3,X2),X3) = X2,
inference(superposition,[],[f1692,f1692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n017.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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 00:06:28 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 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/sandbox/tmp/tmp.6wKBSOSmAQ/Vampire---4.8_9776
% 0.15/0.36 % (9886)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (9888)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 % (9892)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 % (9887)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 % (9893)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.21/0.42 % (9891)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)
% 0.21/0.42 % (9890)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 % (9889)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.21/0.46 % (9893)First to succeed.
% 0.21/0.47 % (9892)Also succeeded, but the first one will report.
% 0.21/0.47 % (9893)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.47 % (9893)------------------------------
% 0.21/0.47 % (9893)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.47 % (9893)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.47 % (9893)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (9893)Memory used [KB]: 1791
% 0.21/0.47 % (9893)Time elapsed: 0.048 s
% 0.21/0.47 % (9893)------------------------------
% 0.21/0.47 % (9893)------------------------------
% 0.21/0.47 % (9886)Success in time 0.107 s
% 0.21/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------