TSTP Solution File: GRP568-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP568-1 : 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 : 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 01:25:54 EDT 2023
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 39 (; 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f239,plain,
$false,
inference(trivial_inequality_removal,[],[f238]) ).
fof(f238,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f60,f215]) ).
fof(f215,plain,
! [X2,X3] : double_divide(X3,X2) = double_divide(X2,X3),
inference(superposition,[],[f192,f172]) ).
fof(f172,plain,
! [X3,X4] : double_divide(double_divide(X3,X4),X4) = X3,
inference(forward_demodulation,[],[f162,f57]) ).
fof(f57,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(backward_demodulation,[],[f47,f55]) ).
fof(f55,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(backward_demodulation,[],[f35,f47]) ).
fof(f35,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(double_divide(X0,identity),identity),identity),
inference(superposition,[],[f25,f14]) ).
fof(f14,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f10,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/sandbox2/tmp/tmp.cIRp32ggas/Vampire---4.8_19376',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.cIRp32ggas/Vampire---4.8_19376',identity) ).
fof(f10,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.cIRp32ggas/Vampire---4.8_19376',single_axiom) ).
fof(f25,plain,
! [X1] : double_divide(identity,double_divide(X1,double_divide(identity,identity))) = double_divide(double_divide(X1,identity),identity),
inference(superposition,[],[f17,f14]) ).
fof(f17,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))) = double_divide(X2,identity),
inference(backward_demodulation,[],[f11,f15]) ).
fof(f15,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f14]) ).
fof(f11,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))) = double_divide(double_divide(identity,double_divide(X2,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f47,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(backward_demodulation,[],[f14,f46]) ).
fof(f46,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f43,f14]) ).
fof(f43,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f14,f34]) ).
fof(f34,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
inference(superposition,[],[f25,f7]) ).
fof(f162,plain,
! [X3,X4] : double_divide(identity,double_divide(X3,identity)) = double_divide(double_divide(X3,X4),X4),
inference(superposition,[],[f83,f54]) ).
fof(f54,plain,
! [X6,X5] : double_divide(X6,identity) = double_divide(identity,double_divide(double_divide(X6,X5),X5)),
inference(backward_demodulation,[],[f40,f47]) ).
fof(f40,plain,
! [X6,X5] : double_divide(X6,identity) = double_divide(identity,double_divide(double_divide(X6,double_divide(double_divide(X5,identity),identity)),double_divide(double_divide(X5,identity),identity))),
inference(superposition,[],[f17,f25]) ).
fof(f83,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(superposition,[],[f57,f55]) ).
fof(f192,plain,
! [X3,X4] : double_divide(X4,double_divide(X3,X4)) = X3,
inference(superposition,[],[f59,f172]) ).
fof(f59,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(X1,identity),X0)),
inference(backward_demodulation,[],[f21,f57]) ).
fof(f21,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,identity)))),
inference(superposition,[],[f17,f7]) ).
fof(f60,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(b,a)),
inference(forward_demodulation,[],[f58,f55]) ).
fof(f58,plain,
double_divide(double_divide(b,a),identity) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f6,f55]) ).
fof(f6,plain,
double_divide(double_divide(b,a),identity) != double_divide(double_divide(a,b),identity),
inference(definition_unfolding,[],[f5,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/tmp/tmp.cIRp32ggas/Vampire---4.8_19376',multiply) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/tmp/tmp.cIRp32ggas/Vampire---4.8_19376',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP568-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 : Mon Aug 28 22:31:13 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.cIRp32ggas/Vampire---4.8_19376
% 0.15/0.37 % (19486)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (19488)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.22/0.42 % (19489)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.22/0.42 % (19492)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)
% 0.22/0.42 % (19490)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)
% 0.22/0.42 % (19491)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)
% 0.22/0.42 % (19487)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)
% 0.22/0.43 % (19494)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.22/0.43 % (19489)First to succeed.
% 0.22/0.44 % (19488)Also succeeded, but the first one will report.
% 0.22/0.44 % (19489)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (19489)------------------------------
% 0.22/0.44 % (19489)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (19489)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (19489)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (19489)Memory used [KB]: 1023
% 0.22/0.44 % (19489)Time elapsed: 0.012 s
% 0.22/0.44 % (19489)------------------------------
% 0.22/0.44 % (19489)------------------------------
% 0.22/0.44 % (19486)Success in time 0.071 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------