TSTP Solution File: LCL109-6 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL109-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:26:23 EDT 2024
% Result : Unsatisfiable 4.32s 0.91s
% Output : CNFRefutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 13
% Syntax : Number of formulae : 134 ( 134 unt; 0 def)
% Number of atoms : 134 ( 133 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 219 ( 219 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : not(X) = xor(X,truth),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : xor(X,falsehood) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : and_star(X,truth) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : and_star(X,falsehood) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : and_star(xor(truth,X),X) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : xor(X,xor(truth,Y)) = xor(xor(X,truth),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : and_star(xor(and_star(xor(truth,X),Y),truth),Y) = and_star(xor(and_star(xor(truth,Y),X),truth),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] : xor(X,Y) = xor(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z] : and_star(and_star(X,Y),Z) = and_star(X,and_star(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] : and_star(X,Y) = and_star(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y] : implies(X,Y) = xor(truth,and_star(X,xor(truth,Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : not(X0) = xor(X0,truth),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0] : xor(X0,falsehood) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
! [X0] : and_star(X0,truth) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
! [X0] : and_star(X0,falsehood) = falsehood,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0] : and_star(xor(truth,X0),X0) = falsehood,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f22,plain,
! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0,X1,X2] : and_star(and_star(X0,X1),X2) = and_star(X0,and_star(X1,X2)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
not(truth) = falsehood,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(not(X0),X1),
inference(forward_demodulation,[status(thm)],[f15,f21]) ).
fof(f30,plain,
! [X0,X1] : and_star(not(and_star(xor(truth,X0),X1)),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
inference(forward_demodulation,[status(thm)],[f15,f22]) ).
fof(f31,plain,
! [X0,X1] : and_star(not(and_star(xor(truth,X0),X1)),X1) = and_star(not(and_star(xor(truth,X1),X0)),X0),
inference(forward_demodulation,[status(thm)],[f15,f30]) ).
fof(f32,plain,
! [X0,X1] : xor(X0,xor(not(truth),X1)) = xor(not(X0),xor(truth,X1)),
inference(paramodulation,[status(thm)],[f29,f29]) ).
fof(f33,plain,
! [X0,X1] : xor(X0,xor(falsehood,X1)) = xor(not(X0),xor(truth,X1)),
inference(forward_demodulation,[status(thm)],[f26,f32]) ).
fof(f34,plain,
! [X0,X1] : xor(X0,xor(falsehood,X1)) = xor(not(not(X0)),X1),
inference(forward_demodulation,[status(thm)],[f29,f33]) ).
fof(f36,plain,
! [X0,X1] : implies(X0,xor(truth,X1)) = xor(truth,and_star(X0,xor(not(truth),X1))),
inference(paramodulation,[status(thm)],[f29,f27]) ).
fof(f37,plain,
! [X0,X1] : implies(X0,xor(truth,X1)) = xor(truth,and_star(X0,xor(falsehood,X1))),
inference(forward_demodulation,[status(thm)],[f26,f36]) ).
fof(f43,plain,
! [X0] : not(and_star(xor(truth,X0),truth)) = and_star(not(and_star(xor(truth,truth),X0)),X0),
inference(paramodulation,[status(thm)],[f18,f31]) ).
fof(f44,plain,
! [X0] : not(xor(truth,X0)) = and_star(not(and_star(xor(truth,truth),X0)),X0),
inference(forward_demodulation,[status(thm)],[f18,f43]) ).
fof(f45,plain,
! [X0] : not(xor(truth,X0)) = and_star(X0,not(and_star(xor(truth,truth),X0))),
inference(forward_demodulation,[status(thm)],[f25,f44]) ).
fof(f46,plain,
! [X0] : not(xor(truth,X0)) = and_star(X0,not(and_star(not(truth),X0))),
inference(forward_demodulation,[status(thm)],[f15,f45]) ).
fof(f47,plain,
! [X0] : not(xor(truth,X0)) = and_star(X0,not(and_star(falsehood,X0))),
inference(forward_demodulation,[status(thm)],[f26,f46]) ).
fof(f57,plain,
! [X0,X1] : and_star(not(and_star(xor(not(truth),X0),X1)),X1) = and_star(not(and_star(xor(truth,X1),xor(truth,X0))),xor(truth,X0)),
inference(paramodulation,[status(thm)],[f29,f31]) ).
fof(f58,plain,
! [X0,X1] : and_star(X0,not(and_star(xor(not(truth),X1),X0))) = and_star(not(and_star(xor(truth,X0),xor(truth,X1))),xor(truth,X1)),
inference(forward_demodulation,[status(thm)],[f25,f57]) ).
fof(f59,plain,
! [X0,X1] : and_star(X0,not(and_star(xor(falsehood,X1),X0))) = and_star(not(and_star(xor(truth,X0),xor(truth,X1))),xor(truth,X1)),
inference(forward_demodulation,[status(thm)],[f26,f58]) ).
fof(f60,plain,
! [X0,X1] : and_star(X0,not(and_star(xor(falsehood,X1),X0))) = and_star(xor(truth,X1),not(and_star(xor(truth,X0),xor(truth,X1)))),
inference(forward_demodulation,[status(thm)],[f25,f59]) ).
fof(f83,plain,
! [X0,X1] : implies(not(and_star(xor(truth,X0),xor(truth,X1))),X1) = xor(truth,and_star(not(and_star(xor(truth,xor(truth,X1)),X0)),X0)),
inference(paramodulation,[status(thm)],[f31,f27]) ).
fof(f84,plain,
! [X0,X1] : implies(not(and_star(xor(truth,X0),xor(truth,X1))),X1) = xor(truth,and_star(X0,not(and_star(xor(truth,xor(truth,X1)),X0)))),
inference(forward_demodulation,[status(thm)],[f25,f83]) ).
fof(f85,plain,
! [X0,X1] : implies(not(and_star(xor(truth,X0),xor(truth,X1))),X1) = xor(truth,and_star(X0,not(and_star(xor(not(truth),X1),X0)))),
inference(forward_demodulation,[status(thm)],[f29,f84]) ).
fof(f86,plain,
! [X0,X1] : implies(not(and_star(xor(truth,X0),xor(truth,X1))),X1) = xor(truth,and_star(X0,not(and_star(xor(falsehood,X1),X0)))),
inference(forward_demodulation,[status(thm)],[f26,f85]) ).
fof(f151,plain,
! [X0,X1,X2] : implies(X0,and_star(X1,xor(falsehood,X2))) = xor(truth,and_star(X0,implies(X1,xor(truth,X2)))),
inference(paramodulation,[status(thm)],[f37,f27]) ).
fof(f349,plain,
! [X0] : xor(X0,xor(falsehood,falsehood)) = not(not(X0)),
inference(paramodulation,[status(thm)],[f34,f16]) ).
fof(f350,plain,
! [X0] : xor(X0,falsehood) = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f16,f349]) ).
fof(f351,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f16,f350]) ).
fof(f352,plain,
! [X0] : and_star(X0,not(and_star(falsehood,X0))) = and_star(xor(truth,falsehood),not(and_star(xor(truth,X0),xor(truth,falsehood)))),
inference(paramodulation,[status(thm)],[f16,f60]) ).
fof(f353,plain,
! [X0] : not(xor(truth,X0)) = and_star(xor(truth,falsehood),not(and_star(xor(truth,X0),xor(truth,falsehood)))),
inference(forward_demodulation,[status(thm)],[f47,f352]) ).
fof(f354,plain,
! [X0] : not(xor(truth,X0)) = and_star(truth,not(and_star(xor(truth,X0),xor(truth,falsehood)))),
inference(forward_demodulation,[status(thm)],[f16,f353]) ).
fof(f355,plain,
! [X0] : not(xor(truth,X0)) = and_star(truth,not(and_star(xor(truth,X0),truth))),
inference(forward_demodulation,[status(thm)],[f16,f354]) ).
fof(f356,plain,
! [X0] : not(xor(truth,X0)) = and_star(truth,not(xor(truth,X0))),
inference(forward_demodulation,[status(thm)],[f18,f355]) ).
fof(f367,plain,
! [X0] : implies(X0,xor(truth,falsehood)) = xor(truth,and_star(X0,falsehood)),
inference(paramodulation,[status(thm)],[f16,f37]) ).
fof(f368,plain,
! [X0] : implies(X0,truth) = xor(truth,and_star(X0,falsehood)),
inference(forward_demodulation,[status(thm)],[f16,f367]) ).
fof(f369,plain,
! [X0] : implies(X0,truth) = xor(truth,falsehood),
inference(forward_demodulation,[status(thm)],[f19,f368]) ).
fof(f370,plain,
! [X0] : implies(X0,truth) = truth,
inference(forward_demodulation,[status(thm)],[f16,f369]) ).
fof(f524,plain,
truth = not(falsehood),
inference(paramodulation,[status(thm)],[f26,f351]) ).
fof(f687,plain,
! [X0] : not(X0) = xor(truth,X0),
inference(paramodulation,[status(thm)],[f15,f23]) ).
fof(f688,plain,
! [X0] : X0 = xor(falsehood,X0),
inference(paramodulation,[status(thm)],[f16,f23]) ).
fof(f704,plain,
! [X0,X1] : implies(X0,xor(truth,X1)) = xor(truth,and_star(X0,xor(X1,falsehood))),
inference(paramodulation,[status(thm)],[f23,f37]) ).
fof(f705,plain,
! [X0,X1] : implies(X0,not(X1)) = xor(truth,and_star(X0,xor(X1,falsehood))),
inference(forward_demodulation,[status(thm)],[f687,f704]) ).
fof(f706,plain,
! [X0,X1] : implies(X0,not(X1)) = not(and_star(X0,xor(X1,falsehood))),
inference(forward_demodulation,[status(thm)],[f687,f705]) ).
fof(f707,plain,
! [X0,X1] : implies(X0,not(X1)) = not(and_star(X0,X1)),
inference(forward_demodulation,[status(thm)],[f16,f706]) ).
fof(f743,plain,
! [X0,X1] : and_star(not(and_star(xor(truth,X0),X1)),X1) = and_star(not(and_star(xor(X1,truth),X0)),X0),
inference(paramodulation,[status(thm)],[f23,f31]) ).
fof(f744,plain,
! [X0,X1] : and_star(X0,not(and_star(xor(truth,X1),X0))) = and_star(not(and_star(xor(X0,truth),X1)),X1),
inference(forward_demodulation,[status(thm)],[f25,f743]) ).
fof(f745,plain,
! [X0,X1] : and_star(X0,not(and_star(not(X1),X0))) = and_star(not(and_star(xor(X0,truth),X1)),X1),
inference(forward_demodulation,[status(thm)],[f687,f744]) ).
fof(f746,plain,
! [X0,X1] : and_star(X0,not(and_star(not(X1),X0))) = and_star(X1,not(and_star(xor(X0,truth),X1))),
inference(forward_demodulation,[status(thm)],[f25,f745]) ).
fof(f747,plain,
! [X0,X1] : and_star(X0,not(and_star(not(X1),X0))) = and_star(X1,not(and_star(not(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f746]) ).
fof(f970,plain,
! [X0,X1] : implies(not(and_star(xor(truth,X0),xor(truth,X1))),X1) = not(and_star(X0,not(and_star(xor(falsehood,X1),X0)))),
inference(backward_demodulation,[status(thm)],[f687,f86]) ).
fof(f971,plain,
! [X0,X1] : implies(not(and_star(not(X0),xor(truth,X1))),X1) = not(and_star(X0,not(and_star(xor(falsehood,X1),X0)))),
inference(forward_demodulation,[status(thm)],[f687,f970]) ).
fof(f972,plain,
! [X0,X1] : implies(not(and_star(not(X0),not(X1))),X1) = not(and_star(X0,not(and_star(xor(falsehood,X1),X0)))),
inference(forward_demodulation,[status(thm)],[f687,f971]) ).
fof(f973,plain,
! [X0,X1] : implies(not(and_star(not(X0),not(X1))),X1) = not(and_star(X0,not(and_star(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f688,f972]) ).
fof(f983,plain,
! [X0,X1,X2] : implies(X0,and_star(X1,xor(falsehood,X2))) = not(and_star(X0,implies(X1,xor(truth,X2)))),
inference(backward_demodulation,[status(thm)],[f687,f151]) ).
fof(f984,plain,
! [X0,X1,X2] : implies(X0,and_star(X1,X2)) = not(and_star(X0,implies(X1,xor(truth,X2)))),
inference(forward_demodulation,[status(thm)],[f688,f983]) ).
fof(f985,plain,
! [X0,X1,X2] : implies(X0,and_star(X1,X2)) = not(and_star(X0,implies(X1,not(X2)))),
inference(forward_demodulation,[status(thm)],[f687,f984]) ).
fof(f986,plain,
! [X0,X1,X2] : implies(X0,and_star(X1,X2)) = not(and_star(X0,not(and_star(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f707,f985]) ).
fof(f1022,plain,
! [X0] : not(xor(truth,X0)) = and_star(truth,not(not(X0))),
inference(backward_demodulation,[status(thm)],[f687,f356]) ).
fof(f1023,plain,
! [X0] : not(not(X0)) = and_star(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f687,f1022]) ).
fof(f1024,plain,
! [X0] : X0 = and_star(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f351,f1023]) ).
fof(f1025,plain,
! [X0] : X0 = and_star(truth,X0),
inference(forward_demodulation,[status(thm)],[f351,f1024]) ).
fof(f1083,plain,
! [X0] : and_star(not(X0),X0) = falsehood,
inference(backward_demodulation,[status(thm)],[f687,f20]) ).
fof(f1084,plain,
! [X0] : and_star(X0,not(X0)) = falsehood,
inference(forward_demodulation,[status(thm)],[f25,f1083]) ).
fof(f1105,plain,
! [X0,X1] : implies(not(and_star(not(X0),not(X1))),X1) = implies(X0,and_star(X1,X0)),
inference(backward_demodulation,[status(thm)],[f986,f973]) ).
fof(f1146,plain,
! [X0,X1] : implies(X0,X1) = not(and_star(X0,not(X1))),
inference(paramodulation,[status(thm)],[f351,f707]) ).
fof(f1151,plain,
! [X0,X1] : implies(implies(not(X0),X1),X1) = implies(X0,and_star(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1146,f1105]) ).
fof(f1233,plain,
! [X0,X1] : and_star(X0,not(and_star(X0,not(X1)))) = and_star(X1,not(and_star(not(X0),X1))),
inference(paramodulation,[status(thm)],[f25,f747]) ).
fof(f1234,plain,
! [X0,X1] : and_star(X0,implies(X0,X1)) = and_star(X1,not(and_star(not(X0),X1))),
inference(forward_demodulation,[status(thm)],[f1146,f1233]) ).
fof(f1248,plain,
! [X0] : and_star(X0,not(and_star(not(truth),X0))) = not(and_star(not(X0),truth)),
inference(paramodulation,[status(thm)],[f1025,f747]) ).
fof(f1249,plain,
! [X0] : and_star(truth,implies(truth,X0)) = not(and_star(not(X0),truth)),
inference(forward_demodulation,[status(thm)],[f1234,f1248]) ).
fof(f1250,plain,
! [X0] : implies(truth,X0) = not(and_star(not(X0),truth)),
inference(forward_demodulation,[status(thm)],[f1025,f1249]) ).
fof(f1251,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f18,f1250]) ).
fof(f1252,plain,
! [X0] : implies(truth,X0) = X0,
inference(forward_demodulation,[status(thm)],[f351,f1251]) ).
fof(f1435,plain,
! [X0,X1,X2] : implies(and_star(X0,X1),X2) = not(and_star(X0,and_star(X1,not(X2)))),
inference(paramodulation,[status(thm)],[f24,f1146]) ).
fof(f1444,plain,
! [X0] : implies(X0,X0) = not(falsehood),
inference(paramodulation,[status(thm)],[f1084,f1146]) ).
fof(f1445,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f524,f1444]) ).
fof(f1446,plain,
! [X0,X1] : implies(X0,X1) = not(and_star(not(X1),X0)),
inference(paramodulation,[status(thm)],[f25,f1146]) ).
fof(f1469,plain,
! [X0,X1,X2] : implies(X0,implies(X1,X2)) = not(and_star(X0,and_star(X1,not(X2)))),
inference(paramodulation,[status(thm)],[f1146,f707]) ).
fof(f1470,plain,
! [X0,X1,X2] : implies(X0,implies(X1,X2)) = implies(and_star(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f1435,f1469]) ).
fof(f1473,plain,
! [X0,X1] : and_star(X0,not(X1)) = not(implies(X0,X1)),
inference(paramodulation,[status(thm)],[f1146,f351]) ).
fof(f1569,plain,
! [X0,X1] : and_star(X0,implies(X0,X1)) = and_star(X1,implies(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1446,f1234]) ).
fof(f1630,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(not(X0),and_star(X1,not(X0))),
inference(paramodulation,[status(thm)],[f351,f1151]) ).
fof(f1631,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(not(X0),not(implies(X1,X0))),
inference(forward_demodulation,[status(thm)],[f1473,f1630]) ).
fof(f1632,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = not(and_star(not(X0),implies(X1,X0))),
inference(forward_demodulation,[status(thm)],[f707,f1631]) ).
fof(f1633,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f1446,f1632]) ).
fof(f1683,plain,
! [X0,X1] : and_star(not(X0),X1) = not(implies(X1,X0)),
inference(paramodulation,[status(thm)],[f1446,f351]) ).
fof(f1846,plain,
! [X0,X1,X2] : implies(not(X0),implies(X1,X2)) = implies(not(implies(X1,X0)),X2),
inference(paramodulation,[status(thm)],[f1683,f1470]) ).
fof(f1859,plain,
! [X0,X1,X2] : implies(X0,implies(X1,X2)) = implies(and_star(X1,X0),X2),
inference(paramodulation,[status(thm)],[f25,f1470]) ).
fof(f1860,plain,
! [X0,X1,X2] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
inference(forward_demodulation,[status(thm)],[f1470,f1859]) ).
fof(f1943,plain,
! [X0,X1,X2] : implies(X0,implies(implies(X0,X1),X2)) = implies(and_star(X1,implies(X1,X0)),X2),
inference(paramodulation,[status(thm)],[f1569,f1470]) ).
fof(f1944,plain,
! [X0,X1,X2] : implies(X0,implies(implies(X0,X1),X2)) = implies(X1,implies(implies(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f1470,f1943]) ).
fof(f1945,plain,
! [X0,X1] : implies(implies(not(implies(X0,X1)),X0),X0) = implies(implies(X0,X1),and_star(X1,implies(X1,X0))),
inference(paramodulation,[status(thm)],[f1569,f1151]) ).
fof(f1946,plain,
! [X0,X1] : implies(implies(not(X0),implies(X1,X1)),X1) = implies(implies(X1,X0),and_star(X0,implies(X0,X1))),
inference(forward_demodulation,[status(thm)],[f1846,f1945]) ).
fof(f1947,plain,
! [X0,X1] : implies(implies(not(X0),truth),X1) = implies(implies(X1,X0),and_star(X0,implies(X0,X1))),
inference(forward_demodulation,[status(thm)],[f1445,f1946]) ).
fof(f1948,plain,
! [X0,X1] : implies(truth,X0) = implies(implies(X0,X1),and_star(X1,implies(X1,X0))),
inference(forward_demodulation,[status(thm)],[f370,f1947]) ).
fof(f1949,plain,
! [X0,X1] : X0 = implies(implies(X0,X1),and_star(X1,implies(X1,X0))),
inference(forward_demodulation,[status(thm)],[f1252,f1948]) ).
fof(f2103,plain,
! [X0,X1] : implies(X0,truth) = implies(X1,implies(X0,X1)),
inference(paramodulation,[status(thm)],[f1445,f1860]) ).
fof(f2104,plain,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
inference(forward_demodulation,[status(thm)],[f370,f2103]) ).
fof(f2143,plain,
implies(implies(b,implies(implies(a,b),a)),implies(b,a)) != truth,
inference(paramodulation,[status(thm)],[f1860,f28]) ).
fof(f2144,plain,
implies(b,implies(implies(b,implies(implies(a,b),a)),a)) != truth,
inference(forward_demodulation,[status(thm)],[f1860,f2143]) ).
fof(f2252,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X1,X0),X0),and_star(X1,implies(X1,implies(X0,X1)))),
inference(paramodulation,[status(thm)],[f1633,f1949]) ).
fof(f2253,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X1,X0),X0),and_star(X1,truth)),
inference(forward_demodulation,[status(thm)],[f2104,f2252]) ).
fof(f2254,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X1,X0),X0),X1),
inference(forward_demodulation,[status(thm)],[f18,f2253]) ).
fof(f6643,plain,
! [X0,X1] : implies(implies(X0,X1),implies(X1,X0)) = implies(X1,implies(implies(X1,implies(X0,X1)),X0)),
inference(paramodulation,[status(thm)],[f2254,f1944]) ).
fof(f6644,plain,
! [X0,X1] : implies(X0,implies(implies(X1,X0),X1)) = implies(X0,implies(implies(X0,implies(X1,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f1860,f6643]) ).
fof(f6645,plain,
! [X0,X1] : implies(X0,implies(implies(X1,X0),X1)) = implies(X0,implies(truth,X1)),
inference(forward_demodulation,[status(thm)],[f2104,f6644]) ).
fof(f6646,plain,
! [X0,X1] : implies(X0,implies(implies(X1,X0),X1)) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f1252,f6645]) ).
fof(f7022,plain,
implies(b,implies(implies(b,a),a)) != truth,
inference(backward_demodulation,[status(thm)],[f6646,f2144]) ).
fof(f7023,plain,
implies(a,implies(implies(a,b),a)) != truth,
inference(forward_demodulation,[status(thm)],[f1944,f7022]) ).
fof(f7024,plain,
truth != truth,
inference(forward_demodulation,[status(thm)],[f2104,f7023]) ).
fof(f7025,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f7024]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL109-6 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:25:36 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 4.32/0.91 % Refutation found
% 4.32/0.91 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.32/0.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.59/0.95 % Elapsed time: 0.586376 seconds
% 4.59/0.95 % CPU time: 4.567784 seconds
% 4.59/0.95 % Total memory used: 95.260 MB
% 4.59/0.95 % Net memory used: 90.824 MB
%------------------------------------------------------------------------------