TSTP Solution File: LCL133-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.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 : Sun Sep 18 04:55:03 EDT 2022
% Result : Unsatisfiable 0.18s 0.42s
% Output : Proof 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 38
% Syntax : Number of formulae : 115 ( 80 unt; 5 typ; 0 def)
% Number of atoms : 150 ( 144 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 54 ( 19 ~; 15 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 5 ( 5 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 118 ( 108 !; 0 ?; 118 :)
% Comments :
%------------------------------------------------------------------------------
tff(y_type,type,
y: $i ).
tff(x_type,type,
x: $i ).
tff(implies_type,type,
implies: ( $i * $i ) > $i ).
tff(truth_type,type,
truth: $i ).
tff(not_type,type,
not: $i > $i ).
tff(1,plain,
( ( x = implies(truth,x) )
<=> ( implies(truth,x) = x ) ),
inference(commutativity,[status(thm)],]) ).
tff(2,plain,
^ [Y: $i,X: $i] :
refl(
( ( implies(X,Y) = implies(Y,X) )
<=> ( implies(X,Y) = implies(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(3,plain,
( ! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) )
<=> ! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) ) ),
inference(quant_intro,[status(thm)],[2]) ).
tff(4,plain,
( ! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) )
<=> ! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_antecedent) ).
tff(6,plain,
! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) ),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) ),
inference(skolemize,[status(sab)],[6]) ).
tff(8,plain,
! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
( ~ ! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) )
| ( implies(y,x) = implies(x,y) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(10,plain,
implies(y,x) = implies(x,y),
inference(unit_resolution,[status(thm)],[9,8]) ).
tff(11,plain,
implies(x,y) = implies(y,x),
inference(symmetry,[status(thm)],[10]) ).
tff(12,plain,
^ [X: $i] :
refl(
( ( implies(truth,X) = X )
<=> ( implies(truth,X) = X ) )),
inference(bind,[status(th)],]) ).
tff(13,plain,
( ! [X: $i] : ( implies(truth,X) = X )
<=> ! [X: $i] : ( implies(truth,X) = X ) ),
inference(quant_intro,[status(thm)],[12]) ).
tff(14,plain,
( ! [X: $i] : ( implies(truth,X) = X )
<=> ! [X: $i] : ( implies(truth,X) = X ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,axiom,
! [X: $i] : ( implies(truth,X) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
tff(16,plain,
! [X: $i] : ( implies(truth,X) = X ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
! [X: $i] : ( implies(truth,X) = X ),
inference(skolemize,[status(sab)],[16]) ).
tff(18,plain,
! [X: $i] : ( implies(truth,X) = X ),
inference(modus_ponens,[status(thm)],[17,13]) ).
tff(19,plain,
( ~ ! [X: $i] : ( implies(truth,X) = X )
| ( implies(truth,implies(x,y)) = implies(x,y) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(20,plain,
implies(truth,implies(x,y)) = implies(x,y),
inference(unit_resolution,[status(thm)],[19,18]) ).
tff(21,plain,
^ [Y: $i,X: $i] :
refl(
( ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth )
<=> ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth ) )),
inference(bind,[status(th)],]) ).
tff(22,plain,
( ! [Y: $i,X: $i] : ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth )
<=> ! [Y: $i,X: $i] : ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,plain,
( ! [Y: $i,X: $i] : ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth )
<=> ! [Y: $i,X: $i] : ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth ) ),
inference(rewrite,[status(thm)],]) ).
tff(24,axiom,
! [Y: $i,X: $i] : ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).
tff(25,plain,
! [Y: $i,X: $i] : ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
! [Y: $i,X: $i] : ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth ),
inference(skolemize,[status(sab)],[25]) ).
tff(27,plain,
! [Y: $i,X: $i] : ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth ),
inference(modus_ponens,[status(thm)],[26,22]) ).
tff(28,plain,
( ~ ! [Y: $i,X: $i] : ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth )
| ( implies(implies(not(y),not(x)),implies(x,y)) = truth ) ),
inference(quant_inst,[status(thm)],]) ).
tff(29,plain,
implies(implies(not(y),not(x)),implies(x,y)) = truth,
inference(unit_resolution,[status(thm)],[28,27]) ).
tff(30,plain,
truth = implies(implies(not(y),not(x)),implies(x,y)),
inference(symmetry,[status(thm)],[29]) ).
tff(31,plain,
implies(truth,implies(x,y)) = implies(implies(implies(not(y),not(x)),implies(x,y)),implies(x,y)),
inference(monotonicity,[status(thm)],[30]) ).
tff(32,plain,
implies(implies(implies(not(y),not(x)),implies(x,y)),implies(x,y)) = implies(truth,implies(x,y)),
inference(symmetry,[status(thm)],[31]) ).
tff(33,plain,
( ~ ! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) )
| ( implies(implies(implies(y,implies(x,y)),implies(x,implies(x,y))),implies(x,y)) = implies(implies(x,y),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(34,plain,
implies(implies(implies(y,implies(x,y)),implies(x,implies(x,y))),implies(x,y)) = implies(implies(x,y),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))),
inference(unit_resolution,[status(thm)],[33,8]) ).
tff(35,plain,
implies(implies(x,y),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))) = implies(implies(implies(y,implies(x,y)),implies(x,implies(x,y))),implies(x,y)),
inference(symmetry,[status(thm)],[34]) ).
tff(36,plain,
^ [Z: $i,Y: $i,X: $i] :
refl(
( ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth )
<=> ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ) )),
inference(bind,[status(th)],]) ).
tff(37,plain,
( ! [Z: $i,Y: $i,X: $i] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth )
<=> ! [Z: $i,Y: $i,X: $i] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ) ),
inference(quant_intro,[status(thm)],[36]) ).
tff(38,plain,
( ! [Z: $i,Y: $i,X: $i] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth )
<=> ! [Z: $i,Y: $i,X: $i] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,axiom,
! [Z: $i,Y: $i,X: $i] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).
tff(40,plain,
! [Z: $i,Y: $i,X: $i] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ),
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
! [Z: $i,Y: $i,X: $i] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ),
inference(skolemize,[status(sab)],[40]) ).
tff(42,plain,
! [Z: $i,Y: $i,X: $i] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ),
inference(modus_ponens,[status(thm)],[41,37]) ).
tff(43,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth )
| ( implies(implies(x,y),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))) = truth ) ),
inference(quant_inst,[status(thm)],]) ).
tff(44,plain,
implies(implies(x,y),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))) = truth,
inference(unit_resolution,[status(thm)],[43,42]) ).
tff(45,plain,
truth = implies(implies(x,y),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))),
inference(symmetry,[status(thm)],[44]) ).
tff(46,plain,
implies(implies(not(y),not(x)),implies(x,y)) = implies(implies(implies(y,implies(x,y)),implies(x,implies(x,y))),implies(x,y)),
inference(transitivity,[status(thm)],[29,45,35]) ).
tff(47,plain,
implies(implies(implies(not(y),not(x)),implies(x,y)),implies(x,y)) = implies(implies(implies(implies(y,implies(x,y)),implies(x,implies(x,y))),implies(x,y)),implies(x,y)),
inference(monotonicity,[status(thm)],[46]) ).
tff(48,plain,
implies(implies(implies(implies(y,implies(x,y)),implies(x,implies(x,y))),implies(x,y)),implies(x,y)) = implies(implies(implies(not(y),not(x)),implies(x,y)),implies(x,y)),
inference(symmetry,[status(thm)],[47]) ).
tff(49,plain,
^ [Y: $i,X: $i] :
refl(
( ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) )
<=> ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) ) )),
inference(bind,[status(th)],]) ).
tff(50,plain,
( ! [Y: $i,X: $i] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) )
<=> ! [Y: $i,X: $i] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) ) ),
inference(quant_intro,[status(thm)],[49]) ).
tff(51,plain,
( ! [Y: $i,X: $i] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) )
<=> ! [Y: $i,X: $i] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,axiom,
! [Y: $i,X: $i] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).
tff(53,plain,
! [Y: $i,X: $i] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) ),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
! [Y: $i,X: $i] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) ),
inference(skolemize,[status(sab)],[53]) ).
tff(55,plain,
! [Y: $i,X: $i] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) ),
inference(modus_ponens,[status(thm)],[54,50]) ).
tff(56,plain,
( ~ ! [Y: $i,X: $i] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) )
| ( implies(implies(implies(x,y),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))) = implies(implies(implies(implies(y,implies(x,y)),implies(x,implies(x,y))),implies(x,y)),implies(x,y)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(57,plain,
implies(implies(implies(x,y),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))) = implies(implies(implies(implies(y,implies(x,y)),implies(x,implies(x,y))),implies(x,y)),implies(x,y)),
inference(unit_resolution,[status(thm)],[56,55]) ).
tff(58,plain,
( ~ ! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) )
| ( implies(x,implies(x,y)) = implies(implies(x,y),x) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(59,plain,
implies(x,implies(x,y)) = implies(implies(x,y),x),
inference(unit_resolution,[status(thm)],[58,8]) ).
tff(60,plain,
implies(implies(x,y),x) = implies(x,implies(x,y)),
inference(symmetry,[status(thm)],[59]) ).
tff(61,plain,
( ~ ! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) )
| ( implies(y,implies(x,y)) = implies(implies(x,y),y) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(62,plain,
implies(y,implies(x,y)) = implies(implies(x,y),y),
inference(unit_resolution,[status(thm)],[61,8]) ).
tff(63,plain,
implies(implies(x,y),y) = implies(y,implies(x,y)),
inference(symmetry,[status(thm)],[62]) ).
tff(64,plain,
( ~ ! [Y: $i,X: $i] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) )
| ( implies(implies(y,x),x) = implies(implies(x,y),y) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(65,plain,
implies(implies(y,x),x) = implies(implies(x,y),y),
inference(unit_resolution,[status(thm)],[64,55]) ).
tff(66,plain,
implies(implies(x,y),x) = implies(implies(y,x),x),
inference(monotonicity,[status(thm)],[11]) ).
tff(67,plain,
implies(implies(x,y),x) = implies(y,implies(x,y)),
inference(transitivity,[status(thm)],[66,65,63]) ).
tff(68,plain,
implies(implies(implies(x,y),x),implies(implies(x,y),x)) = implies(implies(y,implies(x,y)),implies(x,implies(x,y))),
inference(monotonicity,[status(thm)],[67,60]) ).
tff(69,plain,
implies(implies(y,implies(x,y)),implies(x,implies(x,y))) = implies(implies(implies(x,y),x),implies(implies(x,y),x)),
inference(symmetry,[status(thm)],[68]) ).
tff(70,plain,
( ~ ! [X: $i] : ( implies(truth,X) = X )
| ( implies(truth,implies(not(y),not(x))) = implies(not(y),not(x)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(71,plain,
implies(truth,implies(not(y),not(x))) = implies(not(y),not(x)),
inference(unit_resolution,[status(thm)],[70,18]) ).
tff(72,plain,
( ~ ! [Y: $i,X: $i] : ( implies(X,Y) = implies(Y,X) )
| ( implies(implies(x,y),implies(not(y),not(x))) = implies(implies(not(y),not(x)),implies(x,y)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(73,plain,
implies(implies(x,y),implies(not(y),not(x))) = implies(implies(not(y),not(x)),implies(x,y)),
inference(unit_resolution,[status(thm)],[72,8]) ).
tff(74,plain,
implies(implies(not(y),not(x)),implies(x,y)) = implies(implies(x,y),implies(not(y),not(x))),
inference(symmetry,[status(thm)],[73]) ).
tff(75,plain,
truth = implies(implies(x,y),implies(not(y),not(x))),
inference(transitivity,[status(thm)],[30,74]) ).
tff(76,plain,
implies(truth,implies(not(y),not(x))) = implies(implies(implies(x,y),implies(not(y),not(x))),implies(not(y),not(x))),
inference(monotonicity,[status(thm)],[75]) ).
tff(77,plain,
implies(implies(implies(x,y),implies(not(y),not(x))),implies(not(y),not(x))) = implies(truth,implies(not(y),not(x))),
inference(symmetry,[status(thm)],[76]) ).
tff(78,plain,
( ~ ! [Y: $i,X: $i] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) )
| ( implies(implies(implies(x,y),implies(not(y),not(x))),implies(not(y),not(x))) = implies(implies(implies(not(y),not(x)),implies(x,y)),implies(x,y)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(79,plain,
implies(implies(implies(x,y),implies(not(y),not(x))),implies(not(y),not(x))) = implies(implies(implies(not(y),not(x)),implies(x,y)),implies(x,y)),
inference(unit_resolution,[status(thm)],[78,55]) ).
tff(80,plain,
implies(implies(implies(not(y),not(x)),implies(x,y)),implies(x,y)) = implies(implies(implies(x,y),implies(not(y),not(x))),implies(not(y),not(x))),
inference(symmetry,[status(thm)],[79]) ).
tff(81,plain,
implies(x,y) = implies(truth,implies(x,y)),
inference(symmetry,[status(thm)],[20]) ).
tff(82,plain,
implies(x,y) = implies(not(y),not(x)),
inference(transitivity,[status(thm)],[81,31,80,77,71]) ).
tff(83,plain,
implies(implies(x,y),implies(x,y)) = implies(implies(not(y),not(x)),implies(x,y)),
inference(monotonicity,[status(thm)],[82]) ).
tff(84,plain,
implies(implies(not(y),not(x)),implies(x,y)) = implies(implies(x,y),implies(x,y)),
inference(symmetry,[status(thm)],[83]) ).
tff(85,plain,
implies(implies(x,y),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))) = implies(implies(x,y),implies(x,y)),
inference(transitivity,[status(thm)],[44,30,84]) ).
tff(86,plain,
implies(implies(implies(x,y),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))) = implies(implies(implies(x,y),implies(x,y)),implies(implies(implies(x,y),x),implies(implies(x,y),x))),
inference(monotonicity,[status(thm)],[85,69]) ).
tff(87,plain,
implies(implies(implies(x,y),implies(x,y)),implies(implies(implies(x,y),x),implies(implies(x,y),x))) = implies(implies(implies(x,y),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))),implies(implies(y,implies(x,y)),implies(x,implies(x,y)))),
inference(symmetry,[status(thm)],[86]) ).
tff(88,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth )
| ( implies(implies(implies(x,y),implies(x,y)),implies(implies(implies(x,y),x),implies(implies(x,y),x))) = truth ) ),
inference(quant_inst,[status(thm)],]) ).
tff(89,plain,
implies(implies(implies(x,y),implies(x,y)),implies(implies(implies(x,y),x),implies(implies(x,y),x))) = truth,
inference(unit_resolution,[status(thm)],[88,42]) ).
tff(90,plain,
truth = implies(implies(implies(x,y),implies(x,y)),implies(implies(implies(x,y),x),implies(implies(x,y),x))),
inference(symmetry,[status(thm)],[89]) ).
tff(91,plain,
truth = implies(y,x),
inference(transitivity,[status(thm)],[90,87,57,48,32,20,11]) ).
tff(92,plain,
implies(truth,x) = implies(implies(y,x),x),
inference(monotonicity,[status(thm)],[91]) ).
tff(93,plain,
implies(implies(y,x),x) = implies(truth,x),
inference(symmetry,[status(thm)],[92]) ).
tff(94,plain,
implies(implies(x,y),y) = implies(implies(y,x),x),
inference(symmetry,[status(thm)],[65]) ).
tff(95,plain,
truth = implies(x,y),
inference(transitivity,[status(thm)],[90,87,57,48,32,20]) ).
tff(96,plain,
implies(truth,y) = implies(implies(x,y),y),
inference(monotonicity,[status(thm)],[95]) ).
tff(97,plain,
( ~ ! [X: $i] : ( implies(truth,X) = X )
| ( implies(truth,y) = y ) ),
inference(quant_inst,[status(thm)],]) ).
tff(98,plain,
implies(truth,y) = y,
inference(unit_resolution,[status(thm)],[97,18]) ).
tff(99,plain,
y = implies(truth,y),
inference(symmetry,[status(thm)],[98]) ).
tff(100,plain,
y = implies(truth,x),
inference(transitivity,[status(thm)],[99,96,94,93]) ).
tff(101,plain,
( ( x = y )
<=> ( x = implies(truth,x) ) ),
inference(monotonicity,[status(thm)],[100]) ).
tff(102,plain,
( ( x = y )
<=> ( implies(truth,x) = x ) ),
inference(transitivity,[status(thm)],[101,1]) ).
tff(103,plain,
( ( implies(truth,x) = x )
<=> ( x = y ) ),
inference(symmetry,[status(thm)],[102]) ).
tff(104,plain,
( ~ ! [X: $i] : ( implies(truth,X) = X )
| ( implies(truth,x) = x ) ),
inference(quant_inst,[status(thm)],]) ).
tff(105,plain,
implies(truth,x) = x,
inference(unit_resolution,[status(thm)],[104,18]) ).
tff(106,plain,
x = y,
inference(modus_ponens,[status(thm)],[105,103]) ).
tff(107,plain,
( ( x != y )
<=> ( x != y ) ),
inference(rewrite,[status(thm)],]) ).
tff(108,axiom,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
tff(109,plain,
x != y,
inference(modus_ponens,[status(thm)],[108,107]) ).
tff(110,plain,
$false,
inference(unit_resolution,[status(thm)],[109,106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Sep 1 18:22:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.18/0.42 % SZS status Unsatisfiable
% 0.18/0.42 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------