TSTP Solution File: LCL026-10 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL026-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 : Tue Apr 30 20:26:10 EDT 2024
% Result : Unsatisfiable 232.21s 29.59s
% Output : CNFRefutation 235.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 6
% Syntax : Number of formulae : 102 ( 102 unt; 0 def)
% Number of atoms : 102 ( 101 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 266 ( 266 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : ifeq(is_a_theorem(implies(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
is_a_theorem(implies(implies(implies(a,b),a),a)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] : ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) = true,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0] : is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)) = true,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))) = true,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
is_a_theorem(implies(implies(implies(a,b),a),a)) != true,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(implies(X0,X1),implies(X0,X2))),true),true) = true,
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f16,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(implies(X0,X1),implies(X0,X2))),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f15]) ).
fof(f17,plain,
! [X0,X1] : ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(implies(X1,X0)),true),true) = true,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f18,plain,
! [X0,X1] : ifeq(is_a_theorem(X0),true,is_a_theorem(implies(X1,X0)),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f17]) ).
fof(f23,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true) = true,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f24,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)),true,is_a_theorem(X2),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f23]) ).
fof(f28,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(X0,implies(implies(implies(X1,falsehood),falsehood),X1))),true) = true,
inference(paramodulation,[status(thm)],[f10,f18]) ).
fof(f29,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,falsehood),falsehood),X1))) = true,
inference(forward_demodulation,[status(thm)],[f7,f28]) ).
fof(f32,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),true) = true,
inference(paramodulation,[status(thm)],[f9,f18]) ).
fof(f33,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))) = true,
inference(forward_demodulation,[status(thm)],[f7,f32]) ).
fof(f51,plain,
! [X0,X1,X2,X3] : ifeq(is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X1))),X3)),true,ifeq(true,true,is_a_theorem(X3),true),true) = true,
inference(paramodulation,[status(thm)],[f33,f8]) ).
fof(f52,plain,
! [X0,X1,X2,X3] : ifeq(is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X1))),X3)),true,is_a_theorem(X3),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f51]) ).
fof(f97,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(X0,X0))),true) = true,
inference(paramodulation,[status(thm)],[f11,f24]) ).
fof(f98,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X0))) = true,
inference(forward_demodulation,[status(thm)],[f7,f97]) ).
fof(f122,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X0,X1)),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),true) = true,
inference(paramodulation,[status(thm)],[f11,f16]) ).
fof(f123,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X0,X1)),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f7,f122]) ).
fof(f124,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(implies(X0,implies(implies(X1,falsehood),falsehood)),implies(X0,X1))),true) = true,
inference(paramodulation,[status(thm)],[f29,f16]) ).
fof(f125,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,falsehood),falsehood)),implies(X0,X1))) = true,
inference(forward_demodulation,[status(thm)],[f7,f124]) ).
fof(f132,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),true) = true,
inference(paramodulation,[status(thm)],[f33,f16]) ).
fof(f133,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))) = true,
inference(forward_demodulation,[status(thm)],[f7,f132]) ).
fof(f168,plain,
! [X0] : ifeq(true,true,is_a_theorem(implies(X0,X0)),true) = true,
inference(paramodulation,[status(thm)],[f98,f24]) ).
fof(f169,plain,
! [X0] : is_a_theorem(implies(X0,X0)) = true,
inference(forward_demodulation,[status(thm)],[f7,f168]) ).
fof(f198,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(X0,implies(X1,X1))),true) = true,
inference(paramodulation,[status(thm)],[f169,f18]) ).
fof(f199,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))) = true,
inference(forward_demodulation,[status(thm)],[f7,f198]) ).
fof(f222,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true) = true,
inference(paramodulation,[status(thm)],[f199,f8]) ).
fof(f223,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)),true,is_a_theorem(X2),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f222]) ).
fof(f280,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),true) = true,
inference(paramodulation,[status(thm)],[f133,f24]) ).
fof(f281,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))) = true,
inference(forward_demodulation,[status(thm)],[f7,f280]) ).
fof(f316,plain,
! [X0,X1,X2,X3] : ifeq(true,true,is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X1))))),true) = true,
inference(paramodulation,[status(thm)],[f281,f18]) ).
fof(f317,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X1))))) = true,
inference(forward_demodulation,[status(thm)],[f7,f316]) ).
fof(f774,plain,
! [X0] : ifeq(true,true,is_a_theorem(implies(falsehood,X0)),true) = true,
inference(paramodulation,[status(thm)],[f125,f24]) ).
fof(f775,plain,
! [X0] : is_a_theorem(implies(falsehood,X0)) = true,
inference(forward_demodulation,[status(thm)],[f7,f774]) ).
fof(f783,plain,
! [X0,X1] : ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(implies(X1,falsehood),falsehood))),true,is_a_theorem(implies(X0,X1)),true),true) = true,
inference(paramodulation,[status(thm)],[f125,f8]) ).
fof(f784,plain,
! [X0,X1] : ifeq(is_a_theorem(implies(X0,implies(implies(X1,falsehood),falsehood))),true,is_a_theorem(implies(X0,X1)),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f783]) ).
fof(f819,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(X0,implies(falsehood,X1))),true) = true,
inference(paramodulation,[status(thm)],[f775,f18]) ).
fof(f820,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(falsehood,X1))) = true,
inference(forward_demodulation,[status(thm)],[f7,f819]) ).
fof(f835,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(implies(X0,falsehood),implies(X0,X1))),true) = true,
inference(paramodulation,[status(thm)],[f820,f16]) ).
fof(f836,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,falsehood),implies(X0,X1))) = true,
inference(forward_demodulation,[status(thm)],[f7,f835]) ).
fof(f961,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,falsehood),X0),implies(implies(X0,falsehood),X1))),true) = true,
inference(paramodulation,[status(thm)],[f836,f16]) ).
fof(f962,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,falsehood),X0),implies(implies(X0,falsehood),X1))) = true,
inference(forward_demodulation,[status(thm)],[f7,f961]) ).
fof(f978,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(X0,implies(implies(X1,falsehood),implies(X1,X2)))),true) = true,
inference(paramodulation,[status(thm)],[f836,f18]) ).
fof(f979,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(X1,falsehood),implies(X1,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f7,f978]) ).
fof(f1055,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(X0,implies(X1,falsehood)),implies(X0,implies(X1,X2)))),true) = true,
inference(paramodulation,[status(thm)],[f979,f16]) ).
fof(f1056,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X1,falsehood)),implies(X0,implies(X1,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f7,f1055]) ).
fof(f1389,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X1))),true,is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2))),true),true) = true,
inference(paramodulation,[status(thm)],[f123,f8]) ).
fof(f1390,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X1))),true,is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2))),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f1389]) ).
fof(f1404,plain,
! [X0,X1,X2,X3] : ifeq(true,true,is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),implies(X1,X2)),implies(implies(X1,implies(X2,X3)),implies(X1,X3))))),true) = true,
inference(paramodulation,[status(thm)],[f123,f18]) ).
fof(f1405,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),implies(X1,X2)),implies(implies(X1,implies(X2,X3)),implies(X1,X3))))) = true,
inference(forward_demodulation,[status(thm)],[f7,f1404]) ).
fof(f1967,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2))),true) = true,
inference(paramodulation,[status(thm)],[f123,f52]) ).
fof(f1968,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2))) = true,
inference(forward_demodulation,[status(thm)],[f7,f1967]) ).
fof(f2184,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(implies(X1,X0),X2))),true,is_a_theorem(implies(X0,X2)),true),true) = true,
inference(paramodulation,[status(thm)],[f1968,f8]) ).
fof(f2185,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(X0,implies(implies(X1,X0),X2))),true,is_a_theorem(implies(X0,X2)),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f2184]) ).
fof(f2201,plain,
! [X0,X1,X2,X3] : ifeq(true,true,is_a_theorem(implies(X0,implies(implies(X1,implies(implies(X2,X1),X3)),implies(X1,X3)))),true) = true,
inference(paramodulation,[status(thm)],[f1968,f18]) ).
fof(f2202,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(X1,implies(implies(X2,X1),X3)),implies(X1,X3)))) = true,
inference(forward_demodulation,[status(thm)],[f7,f2201]) ).
fof(f2205,plain,
! [X0,X1,X2,X3] : ifeq(is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2)),X3)),true,ifeq(true,true,is_a_theorem(X3),true),true) = true,
inference(paramodulation,[status(thm)],[f1968,f8]) ).
fof(f2206,plain,
! [X0,X1,X2,X3] : ifeq(is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2)),X3)),true,is_a_theorem(X3),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f2205]) ).
fof(f5624,plain,
! [X0,X1,X2,X3] : ifeq(true,true,is_a_theorem(implies(implies(X0,implies(implies(X1,implies(X2,X0)),X3)),implies(X0,X3))),true) = true,
inference(paramodulation,[status(thm)],[f317,f1390]) ).
fof(f5625,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(X0,implies(implies(X1,implies(X2,X0)),X3)),implies(X0,X3))) = true,
inference(forward_demodulation,[status(thm)],[f7,f5624]) ).
fof(f5765,plain,
! [X0,X1,X2,X3,X4] : ifeq(is_a_theorem(implies(implies(X0,implies(implies(implies(X1,implies(X2,X3)),implies(X1,X2)),implies(implies(X1,implies(X2,X3)),implies(X1,X3)))),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) = true,
inference(paramodulation,[status(thm)],[f1405,f8]) ).
fof(f5766,plain,
! [X0,X1,X2,X3,X4] : ifeq(is_a_theorem(implies(implies(X0,implies(implies(implies(X1,implies(X2,X3)),implies(X1,X2)),implies(implies(X1,implies(X2,X3)),implies(X1,X3)))),X4)),true,is_a_theorem(X4),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f5765]) ).
fof(f9329,plain,
! [X0] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,falsehood),X0),X0)),true) = true,
inference(paramodulation,[status(thm)],[f962,f784]) ).
fof(f9330,plain,
! [X0] : is_a_theorem(implies(implies(implies(X0,falsehood),X0),X0)) = true,
inference(forward_demodulation,[status(thm)],[f7,f9329]) ).
fof(f9529,plain,
! [X0] : ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,falsehood),X0)),true,is_a_theorem(X0),true),true) = true,
inference(paramodulation,[status(thm)],[f9330,f8]) ).
fof(f9530,plain,
! [X0] : ifeq(is_a_theorem(implies(implies(X0,falsehood),X0)),true,is_a_theorem(X0),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f9529]) ).
fof(f32423,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(X0,implies(implies(X1,implies(X0,X2)),implies(X1,X2)))),true) = true,
inference(paramodulation,[status(thm)],[f5625,f5766]) ).
fof(f32424,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(X1,implies(X0,X2)),implies(X1,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f7,f32423]) ).
fof(f33250,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X0,implies(X1,X2)))),true) = true,
inference(paramodulation,[status(thm)],[f32424,f16]) ).
fof(f33251,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X0,implies(X1,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f7,f33250]) ).
fof(f33334,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),true) = true,
inference(paramodulation,[status(thm)],[f33251,f223]) ).
fof(f33335,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))) = true,
inference(forward_demodulation,[status(thm)],[f7,f33334]) ).
fof(f33513,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),true) = true,
inference(paramodulation,[status(thm)],[f33335,f18]) ).
fof(f33514,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))) = true,
inference(forward_demodulation,[status(thm)],[f7,f33513]) ).
fof(f33707,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(X0,implies(implies(X1,X2),X2)))),true) = true,
inference(paramodulation,[status(thm)],[f33514,f16]) ).
fof(f33708,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(implies(X1,X2),X2)))) = true,
inference(forward_demodulation,[status(thm)],[f7,f33707]) ).
fof(f35749,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(X0,implies(implies(X1,X2),X2))),true),true) = true,
inference(paramodulation,[status(thm)],[f33708,f8]) ).
fof(f35750,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(X0,implies(implies(X1,X2),X2))),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f35749]) ).
fof(f45165,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),true) = true,
inference(paramodulation,[status(thm)],[f2202,f2185]) ).
fof(f45166,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))) = true,
inference(forward_demodulation,[status(thm)],[f7,f45165]) ).
fof(f45774,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(X0,implies(implies(X1,X0),falsehood)),implies(X0,X2))),true) = true,
inference(paramodulation,[status(thm)],[f1056,f2206]) ).
fof(f45775,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(implies(X1,X0),falsehood)),implies(X0,X2))) = true,
inference(forward_demodulation,[status(thm)],[f7,f45774]) ).
fof(f46739,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(X1,X2)),true),true) = true,
inference(paramodulation,[status(thm)],[f45166,f8]) ).
fof(f46740,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(X1,X2)),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f46739]) ).
fof(f63276,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),falsehood),implies(X1,X2))),true) = true,
inference(paramodulation,[status(thm)],[f45775,f46740]) ).
fof(f63277,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),falsehood),implies(X1,X2))) = true,
inference(forward_demodulation,[status(thm)],[f7,f63276]) ).
fof(f308015,plain,
! [X0,X1,X2,X3] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),falsehood),implies(implies(implies(X1,X2),X3),X3))),true) = true,
inference(paramodulation,[status(thm)],[f63277,f35750]) ).
fof(f308016,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(X0,X1),falsehood),implies(implies(implies(X1,X2),X3),X3))) = true,
inference(forward_demodulation,[status(thm)],[f7,f308015]) ).
fof(f313166,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),true) = true,
inference(paramodulation,[status(thm)],[f308016,f9530]) ).
fof(f313167,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)) = true,
inference(forward_demodulation,[status(thm)],[f7,f313166]) ).
fof(f313357,plain,
true != true,
inference(backward_demodulation,[status(thm)],[f313167,f12]) ).
fof(f313358,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f313357]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL026-10 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n027.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 20:58:16 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 232.21/29.59 % Refutation found
% 232.21/29.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 232.21/29.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 235.30/30.01 % Elapsed time: 29.619425 seconds
% 235.30/30.01 % CPU time: 234.119027 seconds
% 235.30/30.01 % Total memory used: 1.830 GB
% 235.30/30.01 % Net memory used: 1.756 GB
%------------------------------------------------------------------------------