TSTP Solution File: CSR030+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR030+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.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 20 14:27:11 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 44
% Syntax : Number of formulae : 91 ( 17 unt; 10 typ; 0 def)
% Number of atoms : 334 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 431 ( 201 ~; 165 |; 16 &)
% ( 36 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 23 ( 23 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 5 >; 4 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 138 ( 110 !; 12 ?; 138 :)
% Comments :
%------------------------------------------------------------------------------
tff(tptptypes_5_387_type,type,
tptptypes_5_387: ( $i * $i ) > $o ).
tff(c_pushingwithopenhand_type,type,
c_pushingwithopenhand: $i ).
tff(c_tptpcol_16_4451_type,type,
c_tptpcol_16_4451: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptp_member3393_mt_type,type,
c_tptp_member3393_mt: $i ).
tff(tptptypes_6_388_type,type,
tptptypes_6_388: ( $i * $i ) > $o ).
tff(tptptypes_7_389_type,type,
tptptypes_7_389: ( $i * $i ) > $o ).
tff(c_tptp_spindleheadmt_type,type,
c_tptp_spindleheadmt: $i ).
tff(c_universalvocabularymt_type,type,
c_universalvocabularymt: $i ).
tff(genlmt_type,type,
genlmt: ( $i * $i ) > $o ).
tff(1,plain,
^ [ARG2: $i] :
refl(
( ~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) )
<=> ~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [ARG2: $i] :
~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) )
<=> ! [ARG2: $i] :
~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ~ ? [ARG2: $i] :
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) )
<=> ~ ? [ARG2: $i] :
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
( ~ ? [ARG2: $i] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) )
<=> ~ ? [ARG2: $i] :
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
~ ? [ARG2: $i] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query30) ).
tff(6,plain,
~ ? [ARG2: $i] :
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
~ ? [ARG2: $i] :
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(modus_ponens,[status(thm)],[6,3]) ).
tff(8,plain,
~ ? [ARG2: $i] :
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
~ ? [ARG2: $i] :
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(modus_ponens,[status(thm)],[8,3]) ).
tff(10,plain,
~ ? [ARG2: $i] :
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(modus_ponens,[status(thm)],[9,3]) ).
tff(11,plain,
~ ? [ARG2: $i] :
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(modus_ponens,[status(thm)],[10,3]) ).
tff(12,plain,
~ ? [ARG2: $i] :
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(modus_ponens,[status(thm)],[11,3]) ).
tff(13,plain,
^ [ARG2: $i] :
refl(
$oeq(
~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ))),
inference(bind,[status(th)],]) ).
tff(14,plain,
! [ARG2: $i] :
~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(nnf-neg,[status(sab)],[12,13]) ).
tff(15,plain,
! [ARG2: $i] :
~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(modus_ponens,[status(thm)],[14,2]) ).
tff(16,plain,
( ~ ! [ARG2: $i] :
~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) )
| ~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(c_universalvocabularymt,c_pushingwithopenhand) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(17,plain,
~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(c_universalvocabularymt,c_pushingwithopenhand) ),
inference(unit_resolution,[status(thm)],[16,15]) ).
tff(18,plain,
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(c_universalvocabularymt,c_pushingwithopenhand)
| mtvisible(c_tptp_member3393_mt) ),
inference(tautology,[status(thm)],]) ).
tff(19,plain,
mtvisible(c_tptp_member3393_mt),
inference(unit_resolution,[status(thm)],[18,17]) ).
tff(20,plain,
^ [SPECMT: $i,GENLMT: $i] :
refl(
( ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
inference(bind,[status(th)],]) ).
tff(21,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
^ [SPECMT: $i,GENLMT: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ~ ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
rewrite(
( ~ ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) )
<=> ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ( mtvisible(GENLMT)
| ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
rewrite(
( ( mtvisible(GENLMT)
| ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
( ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
inference(bind,[status(th)],]) ).
tff(23,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(25,plain,
^ [SPECMT: $i,GENLMT: $i] :
rewrite(
( ( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) )
<=> ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) )),
inference(bind,[status(th)],]) ).
tff(26,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) ),
inference(quant_intro,[status(thm)],[25]) ).
tff(27,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
tff(28,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[28,24]) ).
tff(30,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(skolemize,[status(sab)],[29]) ).
tff(31,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[30,23]) ).
tff(32,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[31,21]) ).
tff(33,plain,
( genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt)
<=> genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt) ),
inference(rewrite,[status(thm)],]) ).
tff(34,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
tff(35,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt)
| ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt)
| ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(37,plain,
( ( mtvisible(c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt) )
<=> ( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt)
| ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(38,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt)
| ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt) ) ),
inference(monotonicity,[status(thm)],[37]) ).
tff(39,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt)
| ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt) ) ),
inference(transitivity,[status(thm)],[38,36]) ).
tff(40,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt) ),
inference(quant_inst,[status(thm)],]) ).
tff(41,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt)
| ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt) ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt) ),
inference(unit_resolution,[status(thm)],[41,35,32]) ).
tff(43,plain,
mtvisible(c_tptp_spindleheadmt),
inference(unit_resolution,[status(thm)],[42,19]) ).
tff(44,plain,
( ( ~ mtvisible(c_tptp_spindleheadmt)
| tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) )
<=> ( ~ mtvisible(c_tptp_spindleheadmt)
| tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ) ),
inference(rewrite,[status(thm)],]) ).
tff(45,plain,
( ( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) )
<=> ( ~ mtvisible(c_tptp_spindleheadmt)
| tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ) ),
inference(rewrite,[status(thm)],]) ).
tff(46,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
tff(47,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
inference(modus_ponens,[status(thm)],[47,44]) ).
tff(49,plain,
tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451),
inference(unit_resolution,[status(thm)],[48,43]) ).
tff(50,plain,
^ [ARG1: $i,ARG2: $i] :
refl(
( ( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) )
<=> ( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ) )),
inference(bind,[status(th)],]) ).
tff(51,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ) ),
inference(quant_intro,[status(thm)],[50]) ).
tff(52,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(
( ( tptptypes_7_389(ARG1,ARG2)
=> tptptypes_6_388(ARG2,ARG1) )
<=> ( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ) )),
inference(bind,[status(th)],]) ).
tff(54,plain,
( ! [ARG1: $i,ARG2: $i] :
( tptptypes_7_389(ARG1,ARG2)
=> tptptypes_6_388(ARG2,ARG1) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ) ),
inference(quant_intro,[status(thm)],[53]) ).
tff(55,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_7_389(ARG1,ARG2)
=> tptptypes_6_388(ARG2,ARG1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
tff(56,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[55,54]) ).
tff(57,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[56,52]) ).
tff(58,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ),
inference(skolemize,[status(sab)],[57]) ).
tff(59,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[58,51]) ).
tff(60,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) )
| ~ tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) )
| ~ tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand) ) ),
inference(rewrite,[status(thm)],]) ).
tff(61,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) )
| ~ tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand) ),
inference(quant_inst,[status(thm)],]) ).
tff(62,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) )
| ~ tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand) ),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand),
inference(unit_resolution,[status(thm)],[62,59,49]) ).
tff(64,plain,
^ [ARG1: $i,ARG2: $i] :
refl(
( ( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
<=> ( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ) )),
inference(bind,[status(th)],]) ).
tff(65,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[64]) ).
tff(66,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(67,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(
( ( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) )
<=> ( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ) )),
inference(bind,[status(th)],]) ).
tff(68,plain,
( ! [ARG1: $i,ARG2: $i] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[67]) ).
tff(69,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
tff(70,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[70,66]) ).
tff(72,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(skolemize,[status(sab)],[71]) ).
tff(73,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[72,65]) ).
tff(74,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand)
| tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand)
| tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand) ) ),
inference(rewrite,[status(thm)],]) ).
tff(75,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand)
| tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand) ),
inference(quant_inst,[status(thm)],]) ).
tff(76,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand)
| tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand) ),
inference(modus_ponens,[status(thm)],[75,74]) ).
tff(77,plain,
tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand),
inference(unit_resolution,[status(thm)],[76,73,63]) ).
tff(78,plain,
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand)
| ~ tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand) ),
inference(tautology,[status(thm)],]) ).
tff(79,plain,
( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand) ),
inference(unit_resolution,[status(thm)],[78,77]) ).
tff(80,plain,
( ~ ! [ARG2: $i] :
~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(ARG2,c_pushingwithopenhand) )
| ~ ( ~ mtvisible(c_tptp_member3393_mt)
| tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(81,plain,
$false,
inference(unit_resolution,[status(thm)],[80,15,79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR030+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 16:29:59 EDT 2022
% 0.12/0.34 % 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.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------