TSTP Solution File: BOO013-2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 Sep 6 17:18:42 EDT 2022
% Result : Unsatisfiable 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 52
% Syntax : Number of formulae : 128 ( 86 unt; 7 typ; 0 def)
% Number of atoms : 176 ( 165 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 62 ( 17 ~; 13 |; 0 &)
% ( 32 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 10 ( 10 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 155 ( 139 !; 0 ?; 155 :)
% Comments :
%------------------------------------------------------------------------------
tff(c_type,type,
c: $i ).
tff(b_type,type,
b: $i ).
tff(add_type,type,
add: ( $i * $i ) > $i ).
tff(multiply_type,type,
multiply: ( $i * $i ) > $i ).
tff(a_type,type,
a: $i ).
tff(additive_identity_type,type,
additive_identity: $i ).
tff(multiplicative_identity_type,type,
multiplicative_identity: $i ).
tff(1,plain,
^ [X: $i] :
refl(
( ( add(multiply(a,b),X) = X )
<=> ( add(multiply(a,b),X) = X ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] : ( add(multiply(a,b),X) = X )
<=> ! [X: $i] : ( add(multiply(a,b),X) = X ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [X: $i] :
rewrite(
( ( add(additive_identity,X) = X )
<=> ( add(multiply(a,b),X) = X ) )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [X: $i] : ( add(additive_identity,X) = X )
<=> ! [X: $i] : ( add(multiply(a,b),X) = X ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
( ! [X: $i] : ( add(additive_identity,X) = X )
<=> ! [X: $i] : ( add(additive_identity,X) = X ) ),
inference(rewrite,[status(thm)],]) ).
tff(6,axiom,
! [X: $i] : ( add(additive_identity,X) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_id2) ).
tff(7,plain,
! [X: $i] : ( add(additive_identity,X) = X ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i] : ( add(multiply(a,b),X) = X ),
inference(modus_ponens,[status(thm)],[7,4]) ).
tff(9,plain,
! [X: $i] : ( add(multiply(a,b),X) = X ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X: $i] : ( add(multiply(a,b),X) = X ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( ~ ! [X: $i] : ( add(multiply(a,b),X) = X )
| ( add(multiply(a,b),c) = c ) ),
inference(quant_inst,[status(thm)],]) ).
tff(12,plain,
add(multiply(a,b),c) = c,
inference(unit_resolution,[status(thm)],[11,10]) ).
tff(13,plain,
^ [Y: $i,X: $i] :
refl(
( ( multiply(X,Y) = multiply(Y,X) )
<=> ( multiply(X,Y) = multiply(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) )
<=> ! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,plain,
( ! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) )
<=> ! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(16,axiom,
! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',commutativity_of_multiply) ).
tff(17,plain,
! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) ),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) ),
inference(modus_ponens,[status(thm)],[18,14]) ).
tff(20,plain,
( ~ ! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) )
| ( multiply(a,b) = multiply(b,a) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(21,plain,
multiply(a,b) = multiply(b,a),
inference(unit_resolution,[status(thm)],[20,19]) ).
tff(22,plain,
multiply(b,a) = multiply(a,b),
inference(symmetry,[status(thm)],[21]) ).
tff(23,plain,
add(multiply(b,a),c) = add(multiply(a,b),c),
inference(monotonicity,[status(thm)],[22]) ).
tff(24,plain,
^ [Z: $i,Y: $i,X: $i] :
refl(
( ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) )
<=> ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ) )),
inference(bind,[status(th)],]) ).
tff(25,plain,
( ! [Z: $i,Y: $i,X: $i] : ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) )
<=> ! [Z: $i,Y: $i,X: $i] : ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,plain,
( ! [Z: $i,Y: $i,X: $i] : ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) )
<=> ! [Z: $i,Y: $i,X: $i] : ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(27,axiom,
! [Z: $i,Y: $i,X: $i] : ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',distributivity1) ).
tff(28,plain,
! [Z: $i,Y: $i,X: $i] : ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
! [Z: $i,Y: $i,X: $i] : ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ),
inference(skolemize,[status(sab)],[28]) ).
tff(30,plain,
! [Z: $i,Y: $i,X: $i] : ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ),
inference(modus_ponens,[status(thm)],[29,25]) ).
tff(31,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) )
| ( add(multiply(b,a),c) = multiply(add(b,c),add(a,c)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(32,plain,
add(multiply(b,a),c) = multiply(add(b,c),add(a,c)),
inference(unit_resolution,[status(thm)],[31,30]) ).
tff(33,plain,
multiply(add(b,c),add(a,c)) = add(multiply(b,a),c),
inference(symmetry,[status(thm)],[32]) ).
tff(34,plain,
( ( add(a,c) = multiplicative_identity )
<=> ( add(a,c) = add(a,b) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
( ( add(a,c) = multiplicative_identity )
<=> ( add(a,c) = multiplicative_identity ) ),
inference(rewrite,[status(thm)],]) ).
tff(36,axiom,
add(a,c) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_and_multiplicative_identity) ).
tff(37,plain,
add(a,c) = multiplicative_identity,
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
add(a,c) = add(a,b),
inference(modus_ponens,[status(thm)],[37,34]) ).
tff(39,plain,
add(a,b) = add(a,c),
inference(symmetry,[status(thm)],[38]) ).
tff(40,plain,
^ [Y: $i,X: $i] :
refl(
( ( add(X,Y) = add(Y,X) )
<=> ( add(X,Y) = add(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(41,plain,
( ! [Y: $i,X: $i] : ( add(X,Y) = add(Y,X) )
<=> ! [Y: $i,X: $i] : ( add(X,Y) = add(Y,X) ) ),
inference(quant_intro,[status(thm)],[40]) ).
tff(42,plain,
( ! [Y: $i,X: $i] : ( add(X,Y) = add(Y,X) )
<=> ! [Y: $i,X: $i] : ( add(X,Y) = add(Y,X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(43,axiom,
! [Y: $i,X: $i] : ( add(X,Y) = add(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).
tff(44,plain,
! [Y: $i,X: $i] : ( add(X,Y) = add(Y,X) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
! [Y: $i,X: $i] : ( add(X,Y) = add(Y,X) ),
inference(skolemize,[status(sab)],[44]) ).
tff(46,plain,
! [Y: $i,X: $i] : ( add(X,Y) = add(Y,X) ),
inference(modus_ponens,[status(thm)],[45,41]) ).
tff(47,plain,
( ~ ! [Y: $i,X: $i] : ( add(X,Y) = add(Y,X) )
| ( add(a,b) = add(b,a) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(48,plain,
add(a,b) = add(b,a),
inference(unit_resolution,[status(thm)],[47,46]) ).
tff(49,plain,
add(b,a) = add(a,b),
inference(symmetry,[status(thm)],[48]) ).
tff(50,plain,
add(b,a) = add(a,c),
inference(transitivity,[status(thm)],[49,39]) ).
tff(51,plain,
( ~ ! [Y: $i,X: $i] : ( add(X,Y) = add(Y,X) )
| ( add(b,c) = add(c,b) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(52,plain,
add(b,c) = add(c,b),
inference(unit_resolution,[status(thm)],[51,46]) ).
tff(53,plain,
add(c,b) = add(b,c),
inference(symmetry,[status(thm)],[52]) ).
tff(54,plain,
^ [X: $i] :
refl(
( ( multiply(X,add(a,b)) = X )
<=> ( multiply(X,add(a,b)) = X ) )),
inference(bind,[status(th)],]) ).
tff(55,plain,
( ! [X: $i] : ( multiply(X,add(a,b)) = X )
<=> ! [X: $i] : ( multiply(X,add(a,b)) = X ) ),
inference(quant_intro,[status(thm)],[54]) ).
tff(56,plain,
^ [X: $i] :
rewrite(
( ( multiply(X,multiplicative_identity) = X )
<=> ( multiply(X,add(a,b)) = X ) )),
inference(bind,[status(th)],]) ).
tff(57,plain,
( ! [X: $i] : ( multiply(X,multiplicative_identity) = X )
<=> ! [X: $i] : ( multiply(X,add(a,b)) = X ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,plain,
( ! [X: $i] : ( multiply(X,multiplicative_identity) = X )
<=> ! [X: $i] : ( multiply(X,multiplicative_identity) = X ) ),
inference(rewrite,[status(thm)],]) ).
tff(59,axiom,
! [X: $i] : ( multiply(X,multiplicative_identity) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).
tff(60,plain,
! [X: $i] : ( multiply(X,multiplicative_identity) = X ),
inference(modus_ponens,[status(thm)],[59,58]) ).
tff(61,plain,
! [X: $i] : ( multiply(X,add(a,b)) = X ),
inference(modus_ponens,[status(thm)],[60,57]) ).
tff(62,plain,
! [X: $i] : ( multiply(X,add(a,b)) = X ),
inference(skolemize,[status(sab)],[61]) ).
tff(63,plain,
! [X: $i] : ( multiply(X,add(a,b)) = X ),
inference(modus_ponens,[status(thm)],[62,55]) ).
tff(64,plain,
( ~ ! [X: $i] : ( multiply(X,add(a,b)) = X )
| ( multiply(add(c,b),add(a,b)) = add(c,b) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(65,plain,
multiply(add(c,b),add(a,b)) = add(c,b),
inference(unit_resolution,[status(thm)],[64,63]) ).
tff(66,plain,
multiply(add(c,b),add(a,b)) = multiply(add(b,c),add(a,c)),
inference(monotonicity,[status(thm)],[53,39]) ).
tff(67,plain,
multiply(add(b,c),add(a,c)) = multiply(add(c,b),add(a,b)),
inference(symmetry,[status(thm)],[66]) ).
tff(68,plain,
add(multiply(a,b),c) = add(multiply(b,a),c),
inference(symmetry,[status(thm)],[23]) ).
tff(69,plain,
c = add(multiply(a,b),c),
inference(symmetry,[status(thm)],[12]) ).
tff(70,plain,
c = add(b,c),
inference(transitivity,[status(thm)],[69,68,32,67,65,53]) ).
tff(71,plain,
multiply(c,add(b,a)) = multiply(add(b,c),add(a,c)),
inference(monotonicity,[status(thm)],[70,50]) ).
tff(72,plain,
^ [Z: $i,Y: $i,X: $i] :
refl(
( ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )
<=> ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ) )),
inference(bind,[status(th)],]) ).
tff(73,plain,
( ! [Z: $i,Y: $i,X: $i] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )
<=> ! [Z: $i,Y: $i,X: $i] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ) ),
inference(quant_intro,[status(thm)],[72]) ).
tff(74,plain,
( ! [Z: $i,Y: $i,X: $i] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )
<=> ! [Z: $i,Y: $i,X: $i] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(75,axiom,
! [Z: $i,Y: $i,X: $i] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',distributivity4) ).
tff(76,plain,
! [Z: $i,Y: $i,X: $i] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ),
inference(modus_ponens,[status(thm)],[75,74]) ).
tff(77,plain,
! [Z: $i,Y: $i,X: $i] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ),
inference(skolemize,[status(sab)],[76]) ).
tff(78,plain,
! [Z: $i,Y: $i,X: $i] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ),
inference(modus_ponens,[status(thm)],[77,73]) ).
tff(79,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )
| ( multiply(c,add(b,a)) = add(multiply(c,b),multiply(c,a)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(80,plain,
multiply(c,add(b,a)) = add(multiply(c,b),multiply(c,a)),
inference(unit_resolution,[status(thm)],[79,78]) ).
tff(81,plain,
add(multiply(c,b),multiply(c,a)) = multiply(c,add(b,a)),
inference(symmetry,[status(thm)],[80]) ).
tff(82,plain,
( ~ ! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) )
| ( multiply(a,c) = multiply(c,a) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(83,plain,
multiply(a,c) = multiply(c,a),
inference(unit_resolution,[status(thm)],[82,19]) ).
tff(84,plain,
( ( multiply(a,c) = additive_identity )
<=> ( multiply(a,c) = multiply(a,b) ) ),
inference(rewrite,[status(thm)],]) ).
tff(85,plain,
( ( multiply(a,c) = additive_identity )
<=> ( multiply(a,c) = additive_identity ) ),
inference(rewrite,[status(thm)],]) ).
tff(86,axiom,
multiply(a,c) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_a_additive_identity) ).
tff(87,plain,
multiply(a,c) = additive_identity,
inference(modus_ponens,[status(thm)],[86,85]) ).
tff(88,plain,
multiply(a,c) = multiply(a,b),
inference(modus_ponens,[status(thm)],[87,84]) ).
tff(89,plain,
multiply(a,b) = multiply(a,c),
inference(symmetry,[status(thm)],[88]) ).
tff(90,plain,
multiply(a,b) = multiply(c,a),
inference(transitivity,[status(thm)],[89,83]) ).
tff(91,plain,
add(multiply(c,b),multiply(a,b)) = add(multiply(c,b),multiply(c,a)),
inference(monotonicity,[status(thm)],[90]) ).
tff(92,plain,
( ~ ! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) )
| ( multiply(c,b) = multiply(b,c) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(93,plain,
multiply(c,b) = multiply(b,c),
inference(unit_resolution,[status(thm)],[92,19]) ).
tff(94,plain,
multiply(b,c) = multiply(c,b),
inference(symmetry,[status(thm)],[93]) ).
tff(95,plain,
add(multiply(b,c),multiply(b,a)) = add(multiply(c,b),multiply(a,b)),
inference(monotonicity,[status(thm)],[94,22]) ).
tff(96,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )
| ( multiply(b,add(c,a)) = add(multiply(b,c),multiply(b,a)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(97,plain,
multiply(b,add(c,a)) = add(multiply(b,c),multiply(b,a)),
inference(unit_resolution,[status(thm)],[96,78]) ).
tff(98,plain,
( ~ ! [Y: $i,X: $i] : ( add(X,Y) = add(Y,X) )
| ( add(a,c) = add(c,a) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(99,plain,
add(a,c) = add(c,a),
inference(unit_resolution,[status(thm)],[98,46]) ).
tff(100,plain,
add(a,b) = add(c,a),
inference(transitivity,[status(thm)],[39,99]) ).
tff(101,plain,
multiply(b,add(a,b)) = multiply(b,add(c,a)),
inference(monotonicity,[status(thm)],[100]) ).
tff(102,plain,
( ~ ! [Y: $i,X: $i] : ( multiply(X,Y) = multiply(Y,X) )
| ( multiply(add(a,b),b) = multiply(b,add(a,b)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(103,plain,
multiply(add(a,b),b) = multiply(b,add(a,b)),
inference(unit_resolution,[status(thm)],[102,19]) ).
tff(104,plain,
^ [X: $i] :
refl(
( ( multiply(add(a,b),X) = X )
<=> ( multiply(add(a,b),X) = X ) )),
inference(bind,[status(th)],]) ).
tff(105,plain,
( ! [X: $i] : ( multiply(add(a,b),X) = X )
<=> ! [X: $i] : ( multiply(add(a,b),X) = X ) ),
inference(quant_intro,[status(thm)],[104]) ).
tff(106,plain,
^ [X: $i] :
rewrite(
( ( multiply(multiplicative_identity,X) = X )
<=> ( multiply(add(a,b),X) = X ) )),
inference(bind,[status(th)],]) ).
tff(107,plain,
( ! [X: $i] : ( multiply(multiplicative_identity,X) = X )
<=> ! [X: $i] : ( multiply(add(a,b),X) = X ) ),
inference(quant_intro,[status(thm)],[106]) ).
tff(108,plain,
( ! [X: $i] : ( multiply(multiplicative_identity,X) = X )
<=> ! [X: $i] : ( multiply(multiplicative_identity,X) = X ) ),
inference(rewrite,[status(thm)],]) ).
tff(109,axiom,
! [X: $i] : ( multiply(multiplicative_identity,X) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).
tff(110,plain,
! [X: $i] : ( multiply(multiplicative_identity,X) = X ),
inference(modus_ponens,[status(thm)],[109,108]) ).
tff(111,plain,
! [X: $i] : ( multiply(add(a,b),X) = X ),
inference(modus_ponens,[status(thm)],[110,107]) ).
tff(112,plain,
! [X: $i] : ( multiply(add(a,b),X) = X ),
inference(skolemize,[status(sab)],[111]) ).
tff(113,plain,
! [X: $i] : ( multiply(add(a,b),X) = X ),
inference(modus_ponens,[status(thm)],[112,105]) ).
tff(114,plain,
( ~ ! [X: $i] : ( multiply(add(a,b),X) = X )
| ( multiply(add(a,b),b) = b ) ),
inference(quant_inst,[status(thm)],]) ).
tff(115,plain,
multiply(add(a,b),b) = b,
inference(unit_resolution,[status(thm)],[114,113]) ).
tff(116,plain,
b = multiply(add(a,b),b),
inference(symmetry,[status(thm)],[115]) ).
tff(117,plain,
b = c,
inference(transitivity,[status(thm)],[116,103,101,97,95,91,81,71,33,23,12]) ).
tff(118,plain,
( ( b != c )
<=> ( b != c ) ),
inference(rewrite,[status(thm)],]) ).
tff(119,axiom,
b != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_is_a) ).
tff(120,plain,
b != c,
inference(modus_ponens,[status(thm)],[119,118]) ).
tff(121,plain,
$false,
inference(unit_resolution,[status(thm)],[120,117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n025.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 : Tue Aug 30 03:01:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.43 % SZS status Unsatisfiable
% 0.20/0.43 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------