TSTP Solution File: KRS154+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS154+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.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 17:44:59 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 114
% Syntax : Number of formulae : 218 ( 49 unt; 25 typ; 0 def)
% Number of atoms : 921 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 1272 ( 560 ~; 241 |; 222 &)
% ( 249 <=>; 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 : 139 ( 123 !; 0 ?; 139 :)
% Comments :
%------------------------------------------------------------------------------
tff(cC134xcomp_type,type,
cC134xcomp: $i > $o ).
tff(iV822576_type,type,
iV822576: $i ).
tff(cC116_type,type,
cC116: $i > $o ).
tff(cC136_type,type,
cC136: $i > $o ).
tff(cC56_type,type,
cC56: $i > $o ).
tff(cC4_type,type,
cC4: $i > $o ).
tff(cC10xcomp_type,type,
cC10xcomp: $i > $o ).
tff(cC58_type,type,
cC58: $i > $o ).
tff(cC34_type,type,
cC34: $i > $o ).
tff(cC110_type,type,
cC110: $i > $o ).
tff(cC108xcomp_type,type,
cC108xcomp: $i > $o ).
tff(cC102xcomp_type,type,
cC102xcomp: $i > $o ).
tff(cC80_type,type,
cC80: $i > $o ).
tff(cC78xcomp_type,type,
cC78xcomp: $i > $o ).
tff(cC76xcomp_type,type,
cC76xcomp: $i > $o ).
tff(cC94_type,type,
cC94: $i > $o ).
tff(cC92xcomp_type,type,
cC92xcomp: $i > $o ).
tff(cC86xcomp_type,type,
cC86xcomp: $i > $o ).
tff(cC114_type,type,
cC114: $i > $o ).
tff(cC96xcomp_type,type,
cC96xcomp: $i > $o ).
tff(cC112xcomp_type,type,
cC112xcomp: $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)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) )
<=> ( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) )
<=> ! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [X: $i] :
rewrite(
( ( cC136(X)
<=> ( cC134xcomp(X)
& cC116(X) ) )
<=> ( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [X: $i] :
( cC136(X)
<=> ( cC134xcomp(X)
& cC116(X) ) )
<=> ! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
( ! [X: $i] :
( cC136(X)
<=> ( cC134xcomp(X)
& cC116(X) ) )
<=> ! [X: $i] :
( cC136(X)
<=> ( cC134xcomp(X)
& cC116(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(6,axiom,
! [X: $i] :
( cC136(X)
<=> ( cC134xcomp(X)
& cC116(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
tff(7,plain,
! [X: $i] :
( cC136(X)
<=> ( cC134xcomp(X)
& cC116(X) ) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i] :
( cC136(X)
<=> ( cC134xcomp(X)
& cC116(X) ) ),
inference(skolemize,[status(sab)],[7]) ).
tff(9,plain,
! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( ( ~ ! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) )
| ( cC136(iV822576)
<=> ~ ( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) ) ) )
<=> ( ~ ! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) )
| ( cC136(iV822576)
<=> ~ ( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( ( cC136(iV822576)
<=> ~ ( ~ cC134xcomp(iV822576)
| ~ cC116(iV822576) ) )
<=> ( cC136(iV822576)
<=> ~ ( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(13,plain,
( ( ~ ! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) )
| ( cC136(iV822576)
<=> ~ ( ~ cC134xcomp(iV822576)
| ~ cC116(iV822576) ) ) )
<=> ( ~ ! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) )
| ( cC136(iV822576)
<=> ~ ( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) ) ) ) ),
inference(monotonicity,[status(thm)],[12]) ).
tff(14,plain,
( ( ~ ! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) )
| ( cC136(iV822576)
<=> ~ ( ~ cC134xcomp(iV822576)
| ~ cC116(iV822576) ) ) )
<=> ( ~ ! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) )
| ( cC136(iV822576)
<=> ~ ( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) ) ) ) ),
inference(transitivity,[status(thm)],[13,11]) ).
tff(15,plain,
( ~ ! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) )
| ( cC136(iV822576)
<=> ~ ( ~ cC134xcomp(iV822576)
| ~ cC116(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(16,plain,
( ~ ! [X: $i] :
( cC136(X)
<=> ~ ( ~ cC134xcomp(X)
| ~ cC116(X) ) )
| ( cC136(iV822576)
<=> ~ ( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) ) ) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
( cC136(iV822576)
<=> ~ ( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) ) ),
inference(unit_resolution,[status(thm)],[16,10]) ).
tff(18,plain,
^ [X: $i] :
refl(
( ( cC56(X)
<=> ~ ( ~ cC10xcomp(X)
| ~ cC4(X) ) )
<=> ( cC56(X)
<=> ~ ( ~ cC10xcomp(X)
| ~ cC4(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(19,plain,
( ! [X: $i] :
( cC56(X)
<=> ~ ( ~ cC10xcomp(X)
| ~ cC4(X) ) )
<=> ! [X: $i] :
( cC56(X)
<=> ~ ( ~ cC10xcomp(X)
| ~ cC4(X) ) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
^ [X: $i] :
rewrite(
( ( cC56(X)
<=> ( cC4(X)
& cC10xcomp(X) ) )
<=> ( cC56(X)
<=> ~ ( ~ cC10xcomp(X)
| ~ cC4(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(21,plain,
( ! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& cC10xcomp(X) ) )
<=> ! [X: $i] :
( cC56(X)
<=> ~ ( ~ cC10xcomp(X)
| ~ cC4(X) ) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
( ! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& cC10xcomp(X) ) )
<=> ! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& cC10xcomp(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(23,axiom,
! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& cC10xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_93) ).
tff(24,plain,
! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& cC10xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [X: $i] :
( cC56(X)
<=> ( cC4(X)
& cC10xcomp(X) ) ),
inference(skolemize,[status(sab)],[24]) ).
tff(26,plain,
! [X: $i] :
( cC56(X)
<=> ~ ( ~ cC10xcomp(X)
| ~ cC4(X) ) ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,plain,
! [X: $i] :
( cC56(X)
<=> ~ ( ~ cC10xcomp(X)
| ~ cC4(X) ) ),
inference(modus_ponens,[status(thm)],[26,19]) ).
tff(28,plain,
( ~ ! [X: $i] :
( cC56(X)
<=> ~ ( ~ cC10xcomp(X)
| ~ cC4(X) ) )
| ( cC56(iV822576)
<=> ~ ( ~ cC10xcomp(iV822576)
| ~ cC4(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(29,plain,
( cC56(iV822576)
<=> ~ ( ~ cC10xcomp(iV822576)
| ~ cC4(iV822576) ) ),
inference(unit_resolution,[status(thm)],[28,27]) ).
tff(30,plain,
( cC10xcomp(iV822576)
<=> cC10xcomp(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(31,axiom,
cC10xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_167) ).
tff(32,plain,
cC10xcomp(iV822576),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
( cC4(iV822576)
<=> cC4(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(34,axiom,
cC4(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_149) ).
tff(35,plain,
cC4(iV822576),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
( ~ ( ~ cC10xcomp(iV822576)
| ~ cC4(iV822576) )
| ~ cC10xcomp(iV822576)
| ~ cC4(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(37,plain,
~ ( ~ cC10xcomp(iV822576)
| ~ cC4(iV822576) ),
inference(unit_resolution,[status(thm)],[36,35,32]) ).
tff(38,plain,
( ~ ( cC56(iV822576)
<=> ~ ( ~ cC10xcomp(iV822576)
| ~ cC4(iV822576) ) )
| cC56(iV822576)
| ~ cC10xcomp(iV822576)
| ~ cC4(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(39,plain,
( ~ ( cC56(iV822576)
<=> ~ ( ~ cC10xcomp(iV822576)
| ~ cC4(iV822576) ) )
| cC56(iV822576) ),
inference(unit_resolution,[status(thm)],[38,37]) ).
tff(40,plain,
cC56(iV822576),
inference(unit_resolution,[status(thm)],[39,29]) ).
tff(41,plain,
^ [X: $i] :
refl(
( ( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) )
<=> ( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(42,plain,
( ! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) )
<=> ! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ) ),
inference(quant_intro,[status(thm)],[41]) ).
tff(43,plain,
^ [X: $i] :
rewrite(
( ( cC58(X)
<=> ( cC34(X)
& cC56(X) ) )
<=> ( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(44,plain,
( ! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) )
<=> ! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ) ),
inference(quant_intro,[status(thm)],[43]) ).
tff(45,plain,
( ! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) )
<=> ! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(46,axiom,
! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_94) ).
tff(47,plain,
! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) ),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
! [X: $i] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) ),
inference(skolemize,[status(sab)],[47]) ).
tff(49,plain,
! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(modus_ponens,[status(thm)],[48,44]) ).
tff(50,plain,
! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(modus_ponens,[status(thm)],[49,42]) ).
tff(51,plain,
( ~ ! [X: $i] :
( cC58(X)
<=> ~ ( ~ cC34(X)
| ~ cC56(X) ) )
| ( cC58(iV822576)
<=> ~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(52,plain,
( cC58(iV822576)
<=> ~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) ) ),
inference(unit_resolution,[status(thm)],[51,50]) ).
tff(53,plain,
( cC34(iV822576)
<=> cC34(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(54,axiom,
cC34(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_162) ).
tff(55,plain,
cC34(iV822576),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
( ~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) )
| ~ cC34(iV822576)
| ~ cC56(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(57,plain,
( ~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) )
| ~ cC56(iV822576) ),
inference(unit_resolution,[status(thm)],[56,55]) ).
tff(58,plain,
~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) ),
inference(unit_resolution,[status(thm)],[57,40]) ).
tff(59,plain,
( ~ ( cC58(iV822576)
<=> ~ ( ~ cC34(iV822576)
| ~ cC56(iV822576) ) )
| cC58(iV822576)
| ~ cC34(iV822576)
| ~ cC56(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(60,plain,
cC58(iV822576),
inference(unit_resolution,[status(thm)],[59,58,52]) ).
tff(61,plain,
^ [X: $i] :
refl(
( ( cC110(X)
<=> ~ ( ~ cC102xcomp(X)
| ~ cC108xcomp(X) ) )
<=> ( cC110(X)
<=> ~ ( ~ cC102xcomp(X)
| ~ cC108xcomp(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(62,plain,
( ! [X: $i] :
( cC110(X)
<=> ~ ( ~ cC102xcomp(X)
| ~ cC108xcomp(X) ) )
<=> ! [X: $i] :
( cC110(X)
<=> ~ ( ~ cC102xcomp(X)
| ~ cC108xcomp(X) ) ) ),
inference(quant_intro,[status(thm)],[61]) ).
tff(63,plain,
^ [X: $i] :
rewrite(
( ( cC110(X)
<=> ( cC102xcomp(X)
& cC108xcomp(X) ) )
<=> ( cC110(X)
<=> ~ ( ~ cC102xcomp(X)
| ~ cC108xcomp(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(64,plain,
( ! [X: $i] :
( cC110(X)
<=> ( cC102xcomp(X)
& cC108xcomp(X) ) )
<=> ! [X: $i] :
( cC110(X)
<=> ~ ( ~ cC102xcomp(X)
| ~ cC108xcomp(X) ) ) ),
inference(quant_intro,[status(thm)],[63]) ).
tff(65,plain,
( ! [X: $i] :
( cC110(X)
<=> ( cC102xcomp(X)
& cC108xcomp(X) ) )
<=> ! [X: $i] :
( cC110(X)
<=> ( cC102xcomp(X)
& cC108xcomp(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,axiom,
! [X: $i] :
( cC110(X)
<=> ( cC102xcomp(X)
& cC108xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
tff(67,plain,
! [X: $i] :
( cC110(X)
<=> ( cC102xcomp(X)
& cC108xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
! [X: $i] :
( cC110(X)
<=> ( cC102xcomp(X)
& cC108xcomp(X) ) ),
inference(skolemize,[status(sab)],[67]) ).
tff(69,plain,
! [X: $i] :
( cC110(X)
<=> ~ ( ~ cC102xcomp(X)
| ~ cC108xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[68,64]) ).
tff(70,plain,
! [X: $i] :
( cC110(X)
<=> ~ ( ~ cC102xcomp(X)
| ~ cC108xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[69,62]) ).
tff(71,plain,
( ~ ! [X: $i] :
( cC110(X)
<=> ~ ( ~ cC102xcomp(X)
| ~ cC108xcomp(X) ) )
| ( cC110(iV822576)
<=> ~ ( ~ cC102xcomp(iV822576)
| ~ cC108xcomp(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(72,plain,
( cC110(iV822576)
<=> ~ ( ~ cC102xcomp(iV822576)
| ~ cC108xcomp(iV822576) ) ),
inference(unit_resolution,[status(thm)],[71,70]) ).
tff(73,plain,
( cC108xcomp(iV822576)
<=> cC108xcomp(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(74,axiom,
cC108xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_148) ).
tff(75,plain,
cC108xcomp(iV822576),
inference(modus_ponens,[status(thm)],[74,73]) ).
tff(76,plain,
( cC102xcomp(iV822576)
<=> cC102xcomp(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(77,axiom,
cC102xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_147) ).
tff(78,plain,
cC102xcomp(iV822576),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
( ~ ( ~ cC102xcomp(iV822576)
| ~ cC108xcomp(iV822576) )
| ~ cC102xcomp(iV822576)
| ~ cC108xcomp(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(80,plain,
~ ( ~ cC102xcomp(iV822576)
| ~ cC108xcomp(iV822576) ),
inference(unit_resolution,[status(thm)],[79,78,75]) ).
tff(81,plain,
( ~ ( cC110(iV822576)
<=> ~ ( ~ cC102xcomp(iV822576)
| ~ cC108xcomp(iV822576) ) )
| cC110(iV822576)
| ~ cC102xcomp(iV822576)
| ~ cC108xcomp(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(82,plain,
( ~ ( cC110(iV822576)
<=> ~ ( ~ cC102xcomp(iV822576)
| ~ cC108xcomp(iV822576) ) )
| cC110(iV822576) ),
inference(unit_resolution,[status(thm)],[81,80]) ).
tff(83,plain,
cC110(iV822576),
inference(unit_resolution,[status(thm)],[82,72]) ).
tff(84,plain,
^ [X: $i] :
refl(
( ( cC80(X)
<=> ~ ( ~ cC76xcomp(X)
| ~ cC78xcomp(X) ) )
<=> ( cC80(X)
<=> ~ ( ~ cC76xcomp(X)
| ~ cC78xcomp(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(85,plain,
( ! [X: $i] :
( cC80(X)
<=> ~ ( ~ cC76xcomp(X)
| ~ cC78xcomp(X) ) )
<=> ! [X: $i] :
( cC80(X)
<=> ~ ( ~ cC76xcomp(X)
| ~ cC78xcomp(X) ) ) ),
inference(quant_intro,[status(thm)],[84]) ).
tff(86,plain,
^ [X: $i] :
rewrite(
( ( cC80(X)
<=> ( cC78xcomp(X)
& cC76xcomp(X) ) )
<=> ( cC80(X)
<=> ~ ( ~ cC76xcomp(X)
| ~ cC78xcomp(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(87,plain,
( ! [X: $i] :
( cC80(X)
<=> ( cC78xcomp(X)
& cC76xcomp(X) ) )
<=> ! [X: $i] :
( cC80(X)
<=> ~ ( ~ cC76xcomp(X)
| ~ cC78xcomp(X) ) ) ),
inference(quant_intro,[status(thm)],[86]) ).
tff(88,plain,
( ! [X: $i] :
( cC80(X)
<=> ( cC78xcomp(X)
& cC76xcomp(X) ) )
<=> ! [X: $i] :
( cC80(X)
<=> ( cC78xcomp(X)
& cC76xcomp(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(89,axiom,
! [X: $i] :
( cC80(X)
<=> ( cC78xcomp(X)
& cC76xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_117) ).
tff(90,plain,
! [X: $i] :
( cC80(X)
<=> ( cC78xcomp(X)
& cC76xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[89,88]) ).
tff(91,plain,
! [X: $i] :
( cC80(X)
<=> ( cC78xcomp(X)
& cC76xcomp(X) ) ),
inference(skolemize,[status(sab)],[90]) ).
tff(92,plain,
! [X: $i] :
( cC80(X)
<=> ~ ( ~ cC76xcomp(X)
| ~ cC78xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[91,87]) ).
tff(93,plain,
! [X: $i] :
( cC80(X)
<=> ~ ( ~ cC76xcomp(X)
| ~ cC78xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[92,85]) ).
tff(94,plain,
( ~ ! [X: $i] :
( cC80(X)
<=> ~ ( ~ cC76xcomp(X)
| ~ cC78xcomp(X) ) )
| ( cC80(iV822576)
<=> ~ ( ~ cC76xcomp(iV822576)
| ~ cC78xcomp(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(95,plain,
( cC80(iV822576)
<=> ~ ( ~ cC76xcomp(iV822576)
| ~ cC78xcomp(iV822576) ) ),
inference(unit_resolution,[status(thm)],[94,93]) ).
tff(96,plain,
( cC78xcomp(iV822576)
<=> cC78xcomp(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(97,axiom,
cC78xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_158) ).
tff(98,plain,
cC78xcomp(iV822576),
inference(modus_ponens,[status(thm)],[97,96]) ).
tff(99,plain,
( cC76xcomp(iV822576)
<=> cC76xcomp(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(100,axiom,
cC76xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_152) ).
tff(101,plain,
cC76xcomp(iV822576),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
( ~ ( ~ cC76xcomp(iV822576)
| ~ cC78xcomp(iV822576) )
| ~ cC76xcomp(iV822576)
| ~ cC78xcomp(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(103,plain,
~ ( ~ cC76xcomp(iV822576)
| ~ cC78xcomp(iV822576) ),
inference(unit_resolution,[status(thm)],[102,101,98]) ).
tff(104,plain,
( ~ ( cC80(iV822576)
<=> ~ ( ~ cC76xcomp(iV822576)
| ~ cC78xcomp(iV822576) ) )
| cC80(iV822576)
| ~ cC76xcomp(iV822576)
| ~ cC78xcomp(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(105,plain,
( ~ ( cC80(iV822576)
<=> ~ ( ~ cC76xcomp(iV822576)
| ~ cC78xcomp(iV822576) ) )
| cC80(iV822576) ),
inference(unit_resolution,[status(thm)],[104,103]) ).
tff(106,plain,
cC80(iV822576),
inference(unit_resolution,[status(thm)],[105,95]) ).
tff(107,plain,
^ [X: $i] :
refl(
( ( cC94(X)
<=> ~ ( ~ cC86xcomp(X)
| ~ cC92xcomp(X) ) )
<=> ( cC94(X)
<=> ~ ( ~ cC86xcomp(X)
| ~ cC92xcomp(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(108,plain,
( ! [X: $i] :
( cC94(X)
<=> ~ ( ~ cC86xcomp(X)
| ~ cC92xcomp(X) ) )
<=> ! [X: $i] :
( cC94(X)
<=> ~ ( ~ cC86xcomp(X)
| ~ cC92xcomp(X) ) ) ),
inference(quant_intro,[status(thm)],[107]) ).
tff(109,plain,
^ [X: $i] :
rewrite(
( ( cC94(X)
<=> ( cC86xcomp(X)
& cC92xcomp(X) ) )
<=> ( cC94(X)
<=> ~ ( ~ cC86xcomp(X)
| ~ cC92xcomp(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(110,plain,
( ! [X: $i] :
( cC94(X)
<=> ( cC86xcomp(X)
& cC92xcomp(X) ) )
<=> ! [X: $i] :
( cC94(X)
<=> ~ ( ~ cC86xcomp(X)
| ~ cC92xcomp(X) ) ) ),
inference(quant_intro,[status(thm)],[109]) ).
tff(111,plain,
( ! [X: $i] :
( cC94(X)
<=> ( cC86xcomp(X)
& cC92xcomp(X) ) )
<=> ! [X: $i] :
( cC94(X)
<=> ( cC86xcomp(X)
& cC92xcomp(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(112,axiom,
! [X: $i] :
( cC94(X)
<=> ( cC86xcomp(X)
& cC92xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_136) ).
tff(113,plain,
! [X: $i] :
( cC94(X)
<=> ( cC86xcomp(X)
& cC92xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[112,111]) ).
tff(114,plain,
! [X: $i] :
( cC94(X)
<=> ( cC86xcomp(X)
& cC92xcomp(X) ) ),
inference(skolemize,[status(sab)],[113]) ).
tff(115,plain,
! [X: $i] :
( cC94(X)
<=> ~ ( ~ cC86xcomp(X)
| ~ cC92xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[114,110]) ).
tff(116,plain,
! [X: $i] :
( cC94(X)
<=> ~ ( ~ cC86xcomp(X)
| ~ cC92xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[115,108]) ).
tff(117,plain,
( ~ ! [X: $i] :
( cC94(X)
<=> ~ ( ~ cC86xcomp(X)
| ~ cC92xcomp(X) ) )
| ( cC94(iV822576)
<=> ~ ( ~ cC86xcomp(iV822576)
| ~ cC92xcomp(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(118,plain,
( cC94(iV822576)
<=> ~ ( ~ cC86xcomp(iV822576)
| ~ cC92xcomp(iV822576) ) ),
inference(unit_resolution,[status(thm)],[117,116]) ).
tff(119,plain,
( cC92xcomp(iV822576)
<=> cC92xcomp(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(120,axiom,
cC92xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_168) ).
tff(121,plain,
cC92xcomp(iV822576),
inference(modus_ponens,[status(thm)],[120,119]) ).
tff(122,plain,
( cC86xcomp(iV822576)
<=> cC86xcomp(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(123,axiom,
cC86xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_161) ).
tff(124,plain,
cC86xcomp(iV822576),
inference(modus_ponens,[status(thm)],[123,122]) ).
tff(125,plain,
( ~ ( ~ cC86xcomp(iV822576)
| ~ cC92xcomp(iV822576) )
| ~ cC86xcomp(iV822576)
| ~ cC92xcomp(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(126,plain,
~ ( ~ cC86xcomp(iV822576)
| ~ cC92xcomp(iV822576) ),
inference(unit_resolution,[status(thm)],[125,124,121]) ).
tff(127,plain,
( ~ ( cC94(iV822576)
<=> ~ ( ~ cC86xcomp(iV822576)
| ~ cC92xcomp(iV822576) ) )
| cC94(iV822576)
| ~ cC86xcomp(iV822576)
| ~ cC92xcomp(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(128,plain,
( ~ ( cC94(iV822576)
<=> ~ ( ~ cC86xcomp(iV822576)
| ~ cC92xcomp(iV822576) ) )
| cC94(iV822576) ),
inference(unit_resolution,[status(thm)],[127,126]) ).
tff(129,plain,
cC94(iV822576),
inference(unit_resolution,[status(thm)],[128,118]) ).
tff(130,plain,
^ [X: $i] :
refl(
( ( cC114(X)
<=> ~ ( ~ cC112xcomp(X)
| ~ cC96xcomp(X) ) )
<=> ( cC114(X)
<=> ~ ( ~ cC112xcomp(X)
| ~ cC96xcomp(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(131,plain,
( ! [X: $i] :
( cC114(X)
<=> ~ ( ~ cC112xcomp(X)
| ~ cC96xcomp(X) ) )
<=> ! [X: $i] :
( cC114(X)
<=> ~ ( ~ cC112xcomp(X)
| ~ cC96xcomp(X) ) ) ),
inference(quant_intro,[status(thm)],[130]) ).
tff(132,plain,
^ [X: $i] :
rewrite(
( ( cC114(X)
<=> ( cC112xcomp(X)
& cC96xcomp(X) ) )
<=> ( cC114(X)
<=> ~ ( ~ cC112xcomp(X)
| ~ cC96xcomp(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(133,plain,
( ! [X: $i] :
( cC114(X)
<=> ( cC112xcomp(X)
& cC96xcomp(X) ) )
<=> ! [X: $i] :
( cC114(X)
<=> ~ ( ~ cC112xcomp(X)
| ~ cC96xcomp(X) ) ) ),
inference(quant_intro,[status(thm)],[132]) ).
tff(134,plain,
( ! [X: $i] :
( cC114(X)
<=> ( cC112xcomp(X)
& cC96xcomp(X) ) )
<=> ! [X: $i] :
( cC114(X)
<=> ( cC112xcomp(X)
& cC96xcomp(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(135,axiom,
! [X: $i] :
( cC114(X)
<=> ( cC112xcomp(X)
& cC96xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
tff(136,plain,
! [X: $i] :
( cC114(X)
<=> ( cC112xcomp(X)
& cC96xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[135,134]) ).
tff(137,plain,
! [X: $i] :
( cC114(X)
<=> ( cC112xcomp(X)
& cC96xcomp(X) ) ),
inference(skolemize,[status(sab)],[136]) ).
tff(138,plain,
! [X: $i] :
( cC114(X)
<=> ~ ( ~ cC112xcomp(X)
| ~ cC96xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[137,133]) ).
tff(139,plain,
! [X: $i] :
( cC114(X)
<=> ~ ( ~ cC112xcomp(X)
| ~ cC96xcomp(X) ) ),
inference(modus_ponens,[status(thm)],[138,131]) ).
tff(140,plain,
( ~ ! [X: $i] :
( cC114(X)
<=> ~ ( ~ cC112xcomp(X)
| ~ cC96xcomp(X) ) )
| ( cC114(iV822576)
<=> ~ ( ~ cC112xcomp(iV822576)
| ~ cC96xcomp(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(141,plain,
( cC114(iV822576)
<=> ~ ( ~ cC112xcomp(iV822576)
| ~ cC96xcomp(iV822576) ) ),
inference(unit_resolution,[status(thm)],[140,139]) ).
tff(142,plain,
( cC96xcomp(iV822576)
<=> cC96xcomp(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(143,axiom,
cC96xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_153) ).
tff(144,plain,
cC96xcomp(iV822576),
inference(modus_ponens,[status(thm)],[143,142]) ).
tff(145,plain,
( cC112xcomp(iV822576)
<=> cC112xcomp(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(146,axiom,
cC112xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_151) ).
tff(147,plain,
cC112xcomp(iV822576),
inference(modus_ponens,[status(thm)],[146,145]) ).
tff(148,plain,
( ~ ( ~ cC112xcomp(iV822576)
| ~ cC96xcomp(iV822576) )
| ~ cC112xcomp(iV822576)
| ~ cC96xcomp(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(149,plain,
~ ( ~ cC112xcomp(iV822576)
| ~ cC96xcomp(iV822576) ),
inference(unit_resolution,[status(thm)],[148,147,144]) ).
tff(150,plain,
( ~ ( cC114(iV822576)
<=> ~ ( ~ cC112xcomp(iV822576)
| ~ cC96xcomp(iV822576) ) )
| cC114(iV822576)
| ~ cC112xcomp(iV822576)
| ~ cC96xcomp(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(151,plain,
( ~ ( cC114(iV822576)
<=> ~ ( ~ cC112xcomp(iV822576)
| ~ cC96xcomp(iV822576) ) )
| cC114(iV822576) ),
inference(unit_resolution,[status(thm)],[150,149]) ).
tff(152,plain,
cC114(iV822576),
inference(unit_resolution,[status(thm)],[151,141]) ).
tff(153,plain,
^ [X: $i] :
refl(
( ( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) )
<=> ( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(154,plain,
( ! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) )
<=> ! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ) ),
inference(quant_intro,[status(thm)],[153]) ).
tff(155,plain,
^ [X: $i] :
rewrite(
( ( cC116(X)
<=> ( cC114(X)
& cC80(X) ) )
<=> ( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(156,plain,
( ! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) )
<=> ! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ) ),
inference(quant_intro,[status(thm)],[155]) ).
tff(157,plain,
( ! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) )
<=> ! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(158,axiom,
! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
tff(159,plain,
! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) ),
inference(modus_ponens,[status(thm)],[158,157]) ).
tff(160,plain,
! [X: $i] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) ),
inference(skolemize,[status(sab)],[159]) ).
tff(161,plain,
! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(modus_ponens,[status(thm)],[160,156]) ).
tff(162,plain,
! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(modus_ponens,[status(thm)],[161,154]) ).
tff(163,plain,
( ~ ! [X: $i] :
( cC116(X)
<=> ~ ( ~ cC114(X)
| ~ cC80(X) ) )
| ( cC116(iV822576)
<=> ~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(164,plain,
( cC116(iV822576)
<=> ~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) ) ),
inference(unit_resolution,[status(thm)],[163,162]) ).
tff(165,plain,
( ~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) )
| ~ cC114(iV822576)
| ~ cC80(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(166,plain,
~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) ),
inference(unit_resolution,[status(thm)],[165,152,106]) ).
tff(167,plain,
( ~ ( cC116(iV822576)
<=> ~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) ) )
| cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC80(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(168,plain,
( ~ ( cC116(iV822576)
<=> ~ ( ~ cC114(iV822576)
| ~ cC80(iV822576) ) )
| cC116(iV822576) ),
inference(unit_resolution,[status(thm)],[167,166]) ).
tff(169,plain,
cC116(iV822576),
inference(unit_resolution,[status(thm)],[168,164]) ).
tff(170,plain,
( ~ ~ ( ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) )
<=> ( ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(171,plain,
( ( cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) )
<=> ~ ( ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(172,plain,
( ~ ( cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) )
<=> ~ ~ ( ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ) ),
inference(monotonicity,[status(thm)],[171]) ).
tff(173,plain,
( ~ ( cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) )
<=> ( ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ) ),
inference(transitivity,[status(thm)],[172,170]) ).
tff(174,plain,
( ~ ( cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) )
<=> ~ ( cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(175,plain,
( ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) )
<=> ~ ( cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(176,plain,
( ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) )
<=> ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(177,plain,
( ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) )
<=> ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ) ),
inference(monotonicity,[status(thm)],[176]) ).
tff(178,plain,
( ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) )
<=> ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ) ),
inference(rewrite,[status(thm)],]) ).
tff(179,axiom,
~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(180,plain,
~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
inference(modus_ponens,[status(thm)],[179,178]) ).
tff(181,plain,
~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
inference(modus_ponens,[status(thm)],[180,177]) ).
tff(182,plain,
~ ( cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
inference(modus_ponens,[status(thm)],[181,175]) ).
tff(183,plain,
~ ( cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
inference(modus_ponens,[status(thm)],[182,174]) ).
tff(184,plain,
( ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(modus_ponens,[status(thm)],[183,173]) ).
tff(185,plain,
~ cC136(iV822576),
inference(unit_resolution,[status(thm)],[184,169,152,129,106,83,60,40]) ).
tff(186,plain,
( cC134xcomp(iV822576)
<=> cC134xcomp(iV822576) ),
inference(rewrite,[status(thm)],]) ).
tff(187,axiom,
cC134xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_160) ).
tff(188,plain,
cC134xcomp(iV822576),
inference(modus_ponens,[status(thm)],[187,186]) ).
tff(189,plain,
( ~ ( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) )
| ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(190,plain,
( ~ ( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) )
| ~ cC116(iV822576) ),
inference(unit_resolution,[status(thm)],[189,188]) ).
tff(191,plain,
~ ( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) ),
inference(unit_resolution,[status(thm)],[190,169]) ).
tff(192,plain,
( ~ ( cC136(iV822576)
<=> ~ ( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) ) )
| cC136(iV822576)
| ~ cC116(iV822576)
| ~ cC134xcomp(iV822576) ),
inference(tautology,[status(thm)],]) ).
tff(193,plain,
$false,
inference(unit_resolution,[status(thm)],[192,191,185,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS154+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n009.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 09:36:50 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.18/0.34 Usage: tptp [options] [-file:]file
% 0.18/0.34 -h, -? prints this message.
% 0.18/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.18/0.34 -m, -model generate model.
% 0.18/0.34 -p, -proof generate proof.
% 0.18/0.34 -c, -core generate unsat core of named formulas.
% 0.18/0.34 -st, -statistics display statistics.
% 0.18/0.34 -t:timeout set timeout (in second).
% 0.18/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.18/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.18/0.34 -<param>:<value> configuration parameter and value.
% 0.18/0.34 -o:<output-file> file to place output in.
% 0.19/0.44 % SZS status Theorem
% 0.19/0.44 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------