TSTP Solution File: KRS146+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS146+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 : Sat Sep 17 17:44:57 EDT 2022
% Result : Theorem 0.21s 0.44s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 112
% Syntax : Number of formulae : 213 ( 49 unt; 25 typ; 0 def)
% Number of atoms : 873 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 1114 ( 445 ~; 218 |; 222 &)
% ( 229 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 16 ( 16 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 132 ( 116 !; 0 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
tff(cC116_type,type,
cC116: $i > $o ).
tff(iV822576_type,type,
iV822576: $i ).
tff(cC134_type,type,
cC134: $i > $o ).
tff(cC136_type,type,
cC136: $i > $o ).
tff(cC80_type,type,
cC80: $i > $o ).
tff(cC114_type,type,
cC114: $i > $o ).
tff(cC78_type,type,
cC78: $i > $o ).
tff(cC76_type,type,
cC76: $i > $o ).
tff(cC96_type,type,
cC96: $i > $o ).
tff(cC112_type,type,
cC112: $i > $o ).
tff(cC58_type,type,
cC58: $i > $o ).
tff(cC56_type,type,
cC56: $i > $o ).
tff(cC34_type,type,
cC34: $i > $o ).
tff(cC4_type,type,
cC4: $i > $o ).
tff(cC10_type,type,
cC10: $i > $o ).
tff(cC110_type,type,
cC110: $i > $o ).
tff(cC108_type,type,
cC108: $i > $o ).
tff(cC102_type,type,
cC102: $i > $o ).
tff(cC94_type,type,
cC94: $i > $o ).
tff(cC92_type,type,
cC92: $i > $o ).
tff(cC86_type,type,
cC86: $i > $o ).
tff(cowlThing_type,type,
cowlThing: $i > $o ).
tff(xsd_integer_type,type,
xsd_integer: $i > $o ).
tff(xsd_string_type,type,
xsd_string: $i > $o ).
tff(cowlNothing_type,type,
cowlNothing: $i > $o ).
tff(1,plain,
^ [X: $i] :
refl(
( ( cC136(X)
<=> ~ ( cC134(X)
| ~ cC116(X) ) )
<=> ( cC136(X)
<=> ~ ( cC134(X)
| ~ cC116(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] :
( cC136(X)
<=> ~ ( cC134(X)
| ~ cC116(X) ) )
<=> ! [X: $i] :
( cC136(X)
<=> ~ ( cC134(X)
| ~ cC116(X) ) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [X: $i] :
rewrite(
( ( cC136(X)
<=> ( cC116(X)
& ~ cC134(X) ) )
<=> ( cC136(X)
<=> ~ ( cC134(X)
| ~ cC116(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [X: $i] :
( cC136(X)
<=> ( cC116(X)
& ~ cC134(X) ) )
<=> ! [X: $i] :
( cC136(X)
<=> ~ ( cC134(X)
| ~ cC116(X) ) ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
( ! [X: $i] :
( cC136(X)
<=> ( cC116(X)
& ~ cC134(X) ) )
<=> ! [X: $i] :
( cC136(X)
<=> ( cC116(X)
& ~ cC134(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(6,axiom,
! [X: $i] :
( cC136(X)
<=> ( cC116(X)
& ~ cC134(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
tff(7,plain,
! [X: $i] :
( cC136(X)
<=> ( cC116(X)
& ~ cC134(X) ) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i] :
( cC136(X)
<=> ( cC116(X)
& ~ cC134(X) ) ),
inference(skolemize,[status(sab)],[7]) ).
tff(9,plain,
! [X: $i] :
( cC136(X)
<=> ~ ( cC134(X)
| ~ cC116(X) ) ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
! [X: $i] :
( cC136(X)
<=> ~ ( cC134(X)
| ~ cC116(X) ) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( ~ ! [X: $i] :
( cC136(X)
<=> ~ ( cC134(X)
| ~ cC116(X) ) )
| ( cC136(iV822576)
<=> ~ ( cC134(iV822576)
| ~ cC116(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(12,plain,
( cC136(iV822576)
<=> ~ ( cC134(iV822576)
| ~ cC116(iV822576) ) ),
inference(unit_resolution,[status(thm)],[11,10]) ).
tff(13,plain,
^ [X: $i] :
refl(
( ( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) )
<=> ( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) )
<=> ! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,plain,
^ [X: $i] :
rewrite(
( ( cC116(X)
<=> ( cC114(X)
& cC80(X) ) )
<=> ( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(16,plain,
( ! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) )
<=> ! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ) ),
inference(quant_intro,[status(thm)],[15]) ).
tff(17,plain,
( ! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) )
<=> ! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,axiom,
! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
tff(19,plain,
! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) ),
inference(skolemize,[status(sab)],[19]) ).
tff(21,plain,
! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(modus_ponens,[status(thm)],[20,16]) ).
tff(22,plain,
! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(modus_ponens,[status(thm)],[21,14]) ).
tff(23,plain,
( ~ ! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) )
| ( cC116(iV822576)
<=> ~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(24,plain,
( cC116(iV822576)
<=> ~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) ) ),
inference(unit_resolution,[status(thm)],[23,22]) ).
tff(25,plain,
^ [X: $i] :
refl(
( ( cC80(X)
<=> ~ ( cC76(X)
| cC78(X) ) )
<=> ( cC80(X)
<=> ~ ( cC76(X)
| cC78(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(26,plain,
( ! [X: $i] :
( cC80(X)
<=> ~ ( cC76(X)
| cC78(X) ) )
<=> ! [X: $i] :
( cC80(X)
<=> ~ ( cC76(X)
| cC78(X) ) ) ),
inference(quant_intro,[status(thm)],[25]) ).
tff(27,plain,
^ [X: $i] :
rewrite(
( ( cC80(X)
<=> ( ~ cC78(X)
& ~ cC76(X) ) )
<=> ( cC80(X)
<=> ~ ( cC76(X)
| cC78(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [X: $i] :
( cC80(X)
<=> ( ~ cC78(X)
& ~ cC76(X) ) )
<=> ! [X: $i] :
( cC80(X)
<=> ~ ( cC76(X)
| cC78(X) ) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,plain,
( ! [X: $i] :
( cC80(X)
<=> ( ~ cC78(X)
& ~ cC76(X) ) )
<=> ! [X: $i] :
( cC80(X)
<=> ( ~ cC78(X)
& ~ cC76(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(30,axiom,
! [X: $i] :
( cC80(X)
<=> ( ~ cC78(X)
& ~ cC76(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
tff(31,plain,
! [X: $i] :
( cC80(X)
<=> ( ~ cC78(X)
& ~ cC76(X) ) ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
! [X: $i] :
( cC80(X)
<=> ( ~ cC78(X)
& ~ cC76(X) ) ),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [X: $i] :
( cC80(X)
<=> ~ ( cC76(X)
| cC78(X) ) ),
inference(modus_ponens,[status(thm)],[32,28]) ).
tff(34,plain,
! [X: $i] :
( cC80(X)
<=> ~ ( cC76(X)
| cC78(X) ) ),
inference(modus_ponens,[status(thm)],[33,26]) ).
tff(35,plain,
( ~ ! [X: $i] :
( cC80(X)
<=> ~ ( cC76(X)
| cC78(X) ) )
| ( cC80(iV822576)
<=> ~ ( cC76(iV822576)
| cC78(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(36,plain,
( cC80(iV822576)
<=> ~ ( cC76(iV822576)
| cC78(iV822576) ) ),
inference(unit_resolution,[status(thm)],[35,34]) ).
tff(37,plain,
( ~ cC78(iV822576)
<=> ~ cC78(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(38,axiom,
~ cC78(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_88) ).
tff(39,plain,
~ cC78(iV822576),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
( ~ cC76(iV822576)
<=> ~ cC76(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(41,axiom,
~ cC76(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).
tff(42,plain,
~ cC76(iV822576),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
( ~ ( cC76(iV822576)
| cC78(iV822576) )
| cC76(iV822576)
| cC78(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(44,plain,
~ ( cC76(iV822576)
| cC78(iV822576) ),
inference(unit_resolution,[status(thm)],[43,42,39]) ).
tff(45,plain,
( ~ ( cC80(iV822576)
<=> ~ ( cC76(iV822576)
| cC78(iV822576) ) )
| cC80(iV822576)
| cC76(iV822576)
| cC78(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(46,plain,
( ~ ( cC80(iV822576)
<=> ~ ( cC76(iV822576)
| cC78(iV822576) ) )
| cC80(iV822576) ),
inference(unit_resolution,[status(thm)],[45,44]) ).
tff(47,plain,
cC80(iV822576),
inference(unit_resolution,[status(thm)],[46,36]) ).
tff(48,plain,
^ [X: $i] :
refl(
( ( cC114(X)
<=> ~ ( cC112(X)
| cC96(X) ) )
<=> ( cC114(X)
<=> ~ ( cC112(X)
| cC96(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(49,plain,
( ! [X: $i] :
( cC114(X)
<=> ~ ( cC112(X)
| cC96(X) ) )
<=> ! [X: $i] :
( cC114(X)
<=> ~ ( cC112(X)
| cC96(X) ) ) ),
inference(quant_intro,[status(thm)],[48]) ).
tff(50,plain,
^ [X: $i] :
rewrite(
( ( cC114(X)
<=> ( ~ cC96(X)
& ~ cC112(X) ) )
<=> ( cC114(X)
<=> ~ ( cC112(X)
| cC96(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(51,plain,
( ! [X: $i] :
( cC114(X)
<=> ( ~ cC96(X)
& ~ cC112(X) ) )
<=> ! [X: $i] :
( cC114(X)
<=> ~ ( cC112(X)
| cC96(X) ) ) ),
inference(quant_intro,[status(thm)],[50]) ).
tff(52,plain,
( ! [X: $i] :
( cC114(X)
<=> ( ~ cC96(X)
& ~ cC112(X) ) )
<=> ! [X: $i] :
( cC114(X)
<=> ( ~ cC96(X)
& ~ cC112(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,axiom,
! [X: $i] :
( cC114(X)
<=> ( ~ cC96(X)
& ~ cC112(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
tff(54,plain,
! [X: $i] :
( cC114(X)
<=> ( ~ cC96(X)
& ~ cC112(X) ) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
! [X: $i] :
( cC114(X)
<=> ( ~ cC96(X)
& ~ cC112(X) ) ),
inference(skolemize,[status(sab)],[54]) ).
tff(56,plain,
! [X: $i] :
( cC114(X)
<=> ~ ( cC112(X)
| cC96(X) ) ),
inference(modus_ponens,[status(thm)],[55,51]) ).
tff(57,plain,
! [X: $i] :
( cC114(X)
<=> ~ ( cC112(X)
| cC96(X) ) ),
inference(modus_ponens,[status(thm)],[56,49]) ).
tff(58,plain,
( ~ ! [X: $i] :
( cC114(X)
<=> ~ ( cC112(X)
| cC96(X) ) )
| ( cC114(iV822576)
<=> ~ ( cC112(iV822576)
| cC96(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(59,plain,
( cC114(iV822576)
<=> ~ ( cC112(iV822576)
| cC96(iV822576) ) ),
inference(unit_resolution,[status(thm)],[58,57]) ).
tff(60,plain,
( ~ cC112(iV822576)
<=> ~ cC112(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(61,axiom,
~ cC112(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).
tff(62,plain,
~ cC112(iV822576),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
( ~ cC96(iV822576)
<=> ~ cC96(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(64,axiom,
~ cC96(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
tff(65,plain,
~ cC96(iV822576),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
( ~ ( cC112(iV822576)
| cC96(iV822576) )
| cC112(iV822576)
| cC96(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(67,plain,
~ ( cC112(iV822576)
| cC96(iV822576) ),
inference(unit_resolution,[status(thm)],[66,65,62]) ).
tff(68,plain,
( ~ ( cC114(iV822576)
<=> ~ ( cC112(iV822576)
| cC96(iV822576) ) )
| cC114(iV822576)
| cC112(iV822576)
| cC96(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(69,plain,
( ~ ( cC114(iV822576)
<=> ~ ( cC112(iV822576)
| cC96(iV822576) ) )
| cC114(iV822576) ),
inference(unit_resolution,[status(thm)],[68,67]) ).
tff(70,plain,
cC114(iV822576),
inference(unit_resolution,[status(thm)],[69,59]) ).
tff(71,plain,
( ~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) )
| ~ cC114(iV822576)
| ~ cC80(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(72,plain,
~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) ),
inference(unit_resolution,[status(thm)],[71,70,47]) ).
tff(73,plain,
( ~ ( cC116(iV822576)
<=> ~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) ) )
| cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC80(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(74,plain,
( ~ ( cC116(iV822576)
<=> ~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) ) )
| cC116(iV822576) ),
inference(unit_resolution,[status(thm)],[73,72]) ).
tff(75,plain,
cC116(iV822576),
inference(unit_resolution,[status(thm)],[74,24]) ).
tff(76,plain,
( ~ cC134(iV822576)
<=> ~ cC134(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(77,axiom,
~ cC134(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
tff(78,plain,
~ cC134(iV822576),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
( ~ ( cC134(iV822576)
| ~ cC116(iV822576) )
| cC134(iV822576)
| ~ cC116(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(80,plain,
( ~ ( cC134(iV822576)
| ~ cC116(iV822576) )
| ~ cC116(iV822576) ),
inference(unit_resolution,[status(thm)],[79,78]) ).
tff(81,plain,
~ ( cC134(iV822576)
| ~ cC116(iV822576) ),
inference(unit_resolution,[status(thm)],[80,75]) ).
tff(82,plain,
^ [X: $i] :
refl(
( ( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) )
<=> ( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(83,plain,
( ! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) )
<=> ! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ) ),
inference(quant_intro,[status(thm)],[82]) ).
tff(84,plain,
^ [X: $i] :
rewrite(
( ( cC58(X)
<=> ( cC34(X)
& cC56(X) ) )
<=> ( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(85,plain,
( ! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) )
<=> ! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ) ),
inference(quant_intro,[status(thm)],[84]) ).
tff(86,plain,
( ! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) )
<=> ! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(87,axiom,
! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
tff(88,plain,
! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) ),
inference(modus_ponens,[status(thm)],[87,86]) ).
tff(89,plain,
! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) ),
inference(skolemize,[status(sab)],[88]) ).
tff(90,plain,
! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(modus_ponens,[status(thm)],[89,85]) ).
tff(91,plain,
! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(modus_ponens,[status(thm)],[90,83]) ).
tff(92,plain,
( ~ ! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) )
| ( cC58(iV822576)
<=> ~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(93,plain,
( cC58(iV822576)
<=> ~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) ) ),
inference(unit_resolution,[status(thm)],[92,91]) ).
tff(94,plain,
^ [X: $i] :
refl(
( ( cC56(X)
<=> ~ ( cC10(X)
| ~ cC4(X) ) )
<=> ( cC56(X)
<=> ~ ( cC10(X)
| ~ cC4(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(95,plain,
( ! [X: $i] :
( cC56(X)
<=> ~ ( cC10(X)
| ~ cC4(X) ) )
<=> ! [X: $i] :
( cC56(X)
<=> ~ ( cC10(X)
| ~ cC4(X) ) ) ),
inference(quant_intro,[status(thm)],[94]) ).
tff(96,plain,
^ [X: $i] :
rewrite(
( ( cC56(X)
<=> ( cC4(X)
& ~ cC10(X) ) )
<=> ( cC56(X)
<=> ~ ( cC10(X)
| ~ cC4(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(97,plain,
( ! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& ~ cC10(X) ) )
<=> ! [X: $i] :
( cC56(X)
<=> ~ ( cC10(X)
| ~ cC4(X) ) ) ),
inference(quant_intro,[status(thm)],[96]) ).
tff(98,plain,
( ! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& ~ cC10(X) ) )
<=> ! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& ~ cC10(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(99,axiom,
! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& ~ cC10(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
tff(100,plain,
! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& ~ cC10(X) ) ),
inference(modus_ponens,[status(thm)],[99,98]) ).
tff(101,plain,
! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& ~ cC10(X) ) ),
inference(skolemize,[status(sab)],[100]) ).
tff(102,plain,
! [X: $i] :
( cC56(X)
<=> ~ ( cC10(X)
| ~ cC4(X) ) ),
inference(modus_ponens,[status(thm)],[101,97]) ).
tff(103,plain,
! [X: $i] :
( cC56(X)
<=> ~ ( cC10(X)
| ~ cC4(X) ) ),
inference(modus_ponens,[status(thm)],[102,95]) ).
tff(104,plain,
( ~ ! [X: $i] :
( cC56(X)
<=> ~ ( cC10(X)
| ~ cC4(X) ) )
| ( cC56(iV822576)
<=> ~ ( cC10(iV822576)
| ~ cC4(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(105,plain,
( cC56(iV822576)
<=> ~ ( cC10(iV822576)
| ~ cC4(iV822576) ) ),
inference(unit_resolution,[status(thm)],[104,103]) ).
tff(106,plain,
( ~ cC10(iV822576)
<=> ~ cC10(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(107,axiom,
~ cC10(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).
tff(108,plain,
~ cC10(iV822576),
inference(modus_ponens,[status(thm)],[107,106]) ).
tff(109,plain,
( cC4(iV822576)
<=> cC4(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(110,axiom,
cC4(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
tff(111,plain,
cC4(iV822576),
inference(modus_ponens,[status(thm)],[110,109]) ).
tff(112,plain,
( ~ ( cC10(iV822576)
| ~ cC4(iV822576) )
| cC10(iV822576)
| ~ cC4(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(113,plain,
~ ( cC10(iV822576)
| ~ cC4(iV822576) ),
inference(unit_resolution,[status(thm)],[112,111,108]) ).
tff(114,plain,
( ~ ( cC56(iV822576)
<=> ~ ( cC10(iV822576)
| ~ cC4(iV822576) ) )
| cC56(iV822576)
| cC10(iV822576)
| ~ cC4(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(115,plain,
( ~ ( cC56(iV822576)
<=> ~ ( cC10(iV822576)
| ~ cC4(iV822576) ) )
| cC56(iV822576) ),
inference(unit_resolution,[status(thm)],[114,113]) ).
tff(116,plain,
cC56(iV822576),
inference(unit_resolution,[status(thm)],[115,105]) ).
tff(117,plain,
( cC34(iV822576)
<=> cC34(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(118,axiom,
cC34(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
tff(119,plain,
cC34(iV822576),
inference(modus_ponens,[status(thm)],[118,117]) ).
tff(120,plain,
( ~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) )
| ~ cC34(iV822576)
| ~ cC56(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(121,plain,
( ~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) )
| ~ cC56(iV822576) ),
inference(unit_resolution,[status(thm)],[120,119]) ).
tff(122,plain,
~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) ),
inference(unit_resolution,[status(thm)],[121,116]) ).
tff(123,plain,
( ~ ( cC58(iV822576)
<=> ~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) ) )
| cC58(iV822576)
| ~ cC34(iV822576)
| ~ cC56(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(124,plain,
cC58(iV822576),
inference(unit_resolution,[status(thm)],[123,122,93]) ).
tff(125,plain,
^ [X: $i] :
refl(
( ( cC110(X)
<=> ~ ( cC102(X)
| cC108(X) ) )
<=> ( cC110(X)
<=> ~ ( cC102(X)
| cC108(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(126,plain,
( ! [X: $i] :
( cC110(X)
<=> ~ ( cC102(X)
| cC108(X) ) )
<=> ! [X: $i] :
( cC110(X)
<=> ~ ( cC102(X)
| cC108(X) ) ) ),
inference(quant_intro,[status(thm)],[125]) ).
tff(127,plain,
^ [X: $i] :
rewrite(
( ( cC110(X)
<=> ( ~ cC102(X)
& ~ cC108(X) ) )
<=> ( cC110(X)
<=> ~ ( cC102(X)
| cC108(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(128,plain,
( ! [X: $i] :
( cC110(X)
<=> ( ~ cC102(X)
& ~ cC108(X) ) )
<=> ! [X: $i] :
( cC110(X)
<=> ~ ( cC102(X)
| cC108(X) ) ) ),
inference(quant_intro,[status(thm)],[127]) ).
tff(129,plain,
( ! [X: $i] :
( cC110(X)
<=> ( ~ cC102(X)
& ~ cC108(X) ) )
<=> ! [X: $i] :
( cC110(X)
<=> ( ~ cC102(X)
& ~ cC108(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(130,axiom,
! [X: $i] :
( cC110(X)
<=> ( ~ cC102(X)
& ~ cC108(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
tff(131,plain,
! [X: $i] :
( cC110(X)
<=> ( ~ cC102(X)
& ~ cC108(X) ) ),
inference(modus_ponens,[status(thm)],[130,129]) ).
tff(132,plain,
! [X: $i] :
( cC110(X)
<=> ( ~ cC102(X)
& ~ cC108(X) ) ),
inference(skolemize,[status(sab)],[131]) ).
tff(133,plain,
! [X: $i] :
( cC110(X)
<=> ~ ( cC102(X)
| cC108(X) ) ),
inference(modus_ponens,[status(thm)],[132,128]) ).
tff(134,plain,
! [X: $i] :
( cC110(X)
<=> ~ ( cC102(X)
| cC108(X) ) ),
inference(modus_ponens,[status(thm)],[133,126]) ).
tff(135,plain,
( ~ ! [X: $i] :
( cC110(X)
<=> ~ ( cC102(X)
| cC108(X) ) )
| ( cC110(iV822576)
<=> ~ ( cC102(iV822576)
| cC108(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(136,plain,
( cC110(iV822576)
<=> ~ ( cC102(iV822576)
| cC108(iV822576) ) ),
inference(unit_resolution,[status(thm)],[135,134]) ).
tff(137,plain,
( ~ cC108(iV822576)
<=> ~ cC108(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(138,axiom,
~ cC108(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).
tff(139,plain,
~ cC108(iV822576),
inference(modus_ponens,[status(thm)],[138,137]) ).
tff(140,plain,
( ~ cC102(iV822576)
<=> ~ cC102(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(141,axiom,
~ cC102(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
tff(142,plain,
~ cC102(iV822576),
inference(modus_ponens,[status(thm)],[141,140]) ).
tff(143,plain,
( ~ ( cC102(iV822576)
| cC108(iV822576) )
| cC102(iV822576)
| cC108(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(144,plain,
~ ( cC102(iV822576)
| cC108(iV822576) ),
inference(unit_resolution,[status(thm)],[143,142,139]) ).
tff(145,plain,
( ~ ( cC110(iV822576)
<=> ~ ( cC102(iV822576)
| cC108(iV822576) ) )
| cC110(iV822576)
| cC102(iV822576)
| cC108(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(146,plain,
( ~ ( cC110(iV822576)
<=> ~ ( cC102(iV822576)
| cC108(iV822576) ) )
| cC110(iV822576) ),
inference(unit_resolution,[status(thm)],[145,144]) ).
tff(147,plain,
cC110(iV822576),
inference(unit_resolution,[status(thm)],[146,136]) ).
tff(148,plain,
^ [X: $i] :
refl(
( ( cC94(X)
<=> ~ ( cC86(X)
| cC92(X) ) )
<=> ( cC94(X)
<=> ~ ( cC86(X)
| cC92(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(149,plain,
( ! [X: $i] :
( cC94(X)
<=> ~ ( cC86(X)
| cC92(X) ) )
<=> ! [X: $i] :
( cC94(X)
<=> ~ ( cC86(X)
| cC92(X) ) ) ),
inference(quant_intro,[status(thm)],[148]) ).
tff(150,plain,
^ [X: $i] :
rewrite(
( ( cC94(X)
<=> ( ~ cC86(X)
& ~ cC92(X) ) )
<=> ( cC94(X)
<=> ~ ( cC86(X)
| cC92(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(151,plain,
( ! [X: $i] :
( cC94(X)
<=> ( ~ cC86(X)
& ~ cC92(X) ) )
<=> ! [X: $i] :
( cC94(X)
<=> ~ ( cC86(X)
| cC92(X) ) ) ),
inference(quant_intro,[status(thm)],[150]) ).
tff(152,plain,
( ! [X: $i] :
( cC94(X)
<=> ( ~ cC86(X)
& ~ cC92(X) ) )
<=> ! [X: $i] :
( cC94(X)
<=> ( ~ cC86(X)
& ~ cC92(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(153,axiom,
! [X: $i] :
( cC94(X)
<=> ( ~ cC86(X)
& ~ cC92(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
tff(154,plain,
! [X: $i] :
( cC94(X)
<=> ( ~ cC86(X)
& ~ cC92(X) ) ),
inference(modus_ponens,[status(thm)],[153,152]) ).
tff(155,plain,
! [X: $i] :
( cC94(X)
<=> ( ~ cC86(X)
& ~ cC92(X) ) ),
inference(skolemize,[status(sab)],[154]) ).
tff(156,plain,
! [X: $i] :
( cC94(X)
<=> ~ ( cC86(X)
| cC92(X) ) ),
inference(modus_ponens,[status(thm)],[155,151]) ).
tff(157,plain,
! [X: $i] :
( cC94(X)
<=> ~ ( cC86(X)
| cC92(X) ) ),
inference(modus_ponens,[status(thm)],[156,149]) ).
tff(158,plain,
( ~ ! [X: $i] :
( cC94(X)
<=> ~ ( cC86(X)
| cC92(X) ) )
| ( cC94(iV822576)
<=> ~ ( cC86(iV822576)
| cC92(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(159,plain,
( cC94(iV822576)
<=> ~ ( cC86(iV822576)
| cC92(iV822576) ) ),
inference(unit_resolution,[status(thm)],[158,157]) ).
tff(160,plain,
( ~ cC92(iV822576)
<=> ~ cC92(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(161,axiom,
~ cC92(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).
tff(162,plain,
~ cC92(iV822576),
inference(modus_ponens,[status(thm)],[161,160]) ).
tff(163,plain,
( ~ cC86(iV822576)
<=> ~ cC86(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(164,axiom,
~ cC86(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
tff(165,plain,
~ cC86(iV822576),
inference(modus_ponens,[status(thm)],[164,163]) ).
tff(166,plain,
( ~ ( cC86(iV822576)
| cC92(iV822576) )
| cC86(iV822576)
| cC92(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(167,plain,
~ ( cC86(iV822576)
| cC92(iV822576) ),
inference(unit_resolution,[status(thm)],[166,165,162]) ).
tff(168,plain,
( ~ ( cC94(iV822576)
<=> ~ ( cC86(iV822576)
| cC92(iV822576) ) )
| cC94(iV822576)
| cC86(iV822576)
| cC92(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(169,plain,
( ~ ( cC94(iV822576)
<=> ~ ( cC86(iV822576)
| cC92(iV822576) ) )
| cC94(iV822576) ),
inference(unit_resolution,[status(thm)],[168,167]) ).
tff(170,plain,
cC94(iV822576),
inference(unit_resolution,[status(thm)],[169,159]) ).
tff(171,plain,
( ~ ~ ( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) )
<=> ( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(172,plain,
( ( cC94(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) )
<=> ~ ( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(173,plain,
( ~ ( cC94(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) )
<=> ~ ~ ( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) ) ),
inference(monotonicity,[status(thm)],[172]) ).
tff(174,plain,
( ~ ( cC94(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) )
<=> ( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) ) ),
inference(transitivity,[status(thm)],[173,171]) ).
tff(175,plain,
( ~ ( cC94(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) )
<=> ~ ( cC94(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(176,plain,
( ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) )
<=> ~ ( cC94(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(177,plain,
( ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) )
<=> ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(178,plain,
( ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) )
<=> ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ) ),
inference(monotonicity,[status(thm)],[177]) ).
tff(179,plain,
( ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) )
<=> ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(180,axiom,
~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(181,plain,
~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ),
inference(modus_ponens,[status(thm)],[180,179]) ).
tff(182,plain,
~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ),
inference(modus_ponens,[status(thm)],[181,178]) ).
tff(183,plain,
~ ( cC94(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ),
inference(modus_ponens,[status(thm)],[182,176]) ).
tff(184,plain,
~ ( cC94(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ),
inference(modus_ponens,[status(thm)],[183,175]) ).
tff(185,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) ),
inference(modus_ponens,[status(thm)],[184,174]) ).
tff(186,plain,
~ cC136(iV822576),
inference(unit_resolution,[status(thm)],[185,75,170,116,147,70,124,47]) ).
tff(187,plain,
( ~ ( cC136(iV822576)
<=> ~ ( cC134(iV822576)
| ~ cC116(iV822576) ) )
| cC136(iV822576)
| cC134(iV822576)
| ~ cC116(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(188,plain,
$false,
inference(unit_resolution,[status(thm)],[187,186,81,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS146+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Sep 1 09:37:09 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.
% 0.21/0.44 % SZS status Theorem
% 0.21/0.44 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------