TSTP Solution File: CSR073+3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR073+3 : TPTP v8.1.0. Released v3.4.0.
% 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 : Tue Sep 20 14:28:07 EDT 2022
% Result : Theorem 35.43s 23.10s
% Output : Proof 35.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 42
% Syntax : Number of formulae : 89 ( 17 unt; 9 typ; 0 def)
% Number of atoms : 257 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 311 ( 146 ~; 122 |; 0 &)
% ( 29 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 12 ( 12 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 6 >; 5 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 157 ( 125 !; 14 ?; 157 :)
% Comments :
%------------------------------------------------------------------------------
tff(tptptypes_5_387_type,type,
tptptypes_5_387: ( $i * $i ) > $o ).
tff(c_pushingababycarriage_type,type,
c_pushingababycarriage: $i ).
tff(c_tptpcol_16_9612_type,type,
c_tptpcol_16_9612: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptp_spindlecollectormt_type,type,
c_tptp_spindlecollectormt: $i ).
tff(tptptypes_6_388_type,type,
tptptypes_6_388: ( $i * $i ) > $o ).
tff(tptptypes_7_396_type,type,
tptptypes_7_396: ( $i * $i ) > $o ).
tff(tptptypes_8_400_type,type,
tptptypes_8_400: ( $i * $i ) > $o ).
tff(tptptypes_9_401_type,type,
tptptypes_9_401: ( $i * $i ) > $o ).
tff(1,plain,
( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612)
<=> tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_224) ).
tff(3,plain,
tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [ARG1: $i,ARG2: $i] :
refl(
( ( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) )
<=> ( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(
( ( tptptypes_9_401(ARG1,ARG2)
=> tptptypes_8_400(ARG2,ARG1) )
<=> ( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [ARG1: $i,ARG2: $i] :
( tptptypes_9_401(ARG1,ARG2)
=> tptptypes_8_400(ARG2,ARG1) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_9_401(ARG1,ARG2)
=> tptptypes_8_400(ARG2,ARG1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_187) ).
tff(10,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[10,6]) ).
tff(12,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) ),
inference(skolemize,[status(sab)],[11]) ).
tff(13,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[12,5]) ).
tff(14,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) )
| ~ tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612)
| tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) )
| ~ tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612)
| tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage) ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) )
| ~ tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612)
| tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage) ),
inference(quant_inst,[status(thm)],]) ).
tff(16,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_401(ARG1,ARG2)
| tptptypes_8_400(ARG2,ARG1) )
| ~ tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612)
| tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage),
inference(unit_resolution,[status(thm)],[16,13,3]) ).
tff(18,plain,
^ [ARG1: $i,ARG2: $i] :
refl(
( ( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) )
<=> ( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) ) )),
inference(bind,[status(th)],]) ).
tff(19,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(
( ( tptptypes_8_400(ARG1,ARG2)
=> tptptypes_7_396(ARG1,ARG2) )
<=> ( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) ) )),
inference(bind,[status(th)],]) ).
tff(22,plain,
( ! [ARG1: $i,ARG2: $i] :
( tptptypes_8_400(ARG1,ARG2)
=> tptptypes_7_396(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_8_400(ARG1,ARG2)
=> tptptypes_7_396(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2180) ).
tff(24,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) ),
inference(skolemize,[status(sab)],[25]) ).
tff(27,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[26,19]) ).
tff(28,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) )
| ~ tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) )
| ~ tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage) ) ),
inference(rewrite,[status(thm)],]) ).
tff(29,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) )
| ~ tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage) ),
inference(quant_inst,[status(thm)],]) ).
tff(30,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_400(ARG1,ARG2)
| tptptypes_7_396(ARG1,ARG2) )
| ~ tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage),
inference(unit_resolution,[status(thm)],[30,27,17]) ).
tff(32,plain,
^ [ARG1: $i,ARG2: $i] :
refl(
( ( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) )
<=> ( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) ) )),
inference(bind,[status(th)],]) ).
tff(33,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(
( ( tptptypes_7_396(ARG1,ARG2)
=> tptptypes_6_388(ARG1,ARG2) )
<=> ( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) ) )),
inference(bind,[status(th)],]) ).
tff(36,plain,
( ! [ARG1: $i,ARG2: $i] :
( tptptypes_7_396(ARG1,ARG2)
=> tptptypes_6_388(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[35]) ).
tff(37,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_7_396(ARG1,ARG2)
=> tptptypes_6_388(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_3428) ).
tff(38,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[38,34]) ).
tff(40,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) ),
inference(skolemize,[status(sab)],[39]) ).
tff(41,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[40,33]) ).
tff(42,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) )
| ~ tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) )
| ~ tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage) ) ),
inference(rewrite,[status(thm)],]) ).
tff(43,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) )
| ~ tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage) ),
inference(quant_inst,[status(thm)],]) ).
tff(44,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_396(ARG1,ARG2)
| tptptypes_6_388(ARG1,ARG2) )
| ~ tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage),
inference(unit_resolution,[status(thm)],[44,41,31]) ).
tff(46,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(47,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)],[46]) ).
tff(48,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(49,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(50,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)],[49]) ).
tff(51,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1143) ).
tff(52,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[52,48]) ).
tff(54,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(skolemize,[status(sab)],[53]) ).
tff(55,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[54,47]) ).
tff(56,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage) ) ),
inference(rewrite,[status(thm)],]) ).
tff(57,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage) ),
inference(quant_inst,[status(thm)],]) ).
tff(58,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage)
| tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage),
inference(unit_resolution,[status(thm)],[58,55,45]) ).
tff(60,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage)
| ~ tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage) ),
inference(tautology,[status(thm)],]) ).
tff(61,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage) ),
inference(unit_resolution,[status(thm)],[60,59]) ).
tff(62,plain,
^ [ARG1: $i] :
refl(
( ~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) )
<=> ~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ) )),
inference(bind,[status(th)],]) ).
tff(63,plain,
( ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) )
<=> ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ) ),
inference(quant_intro,[status(thm)],[62]) ).
tff(64,plain,
( ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) )
<=> ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ) ),
inference(rewrite,[status(thm)],]) ).
tff(65,plain,
( ~ ? [ARG1: $i] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(ARG1,c_pushingababycarriage) )
<=> ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,axiom,
~ ? [ARG1: $i] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(ARG1,c_pushingababycarriage) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query173) ).
tff(67,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[67,64]) ).
tff(69,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[68,64]) ).
tff(70,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[69,64]) ).
tff(71,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[70,64]) ).
tff(72,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[71,64]) ).
tff(73,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[72,64]) ).
tff(74,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[73,64]) ).
tff(75,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[74,64]) ).
tff(76,plain,
^ [ARG1: $i] :
refl(
$oeq(
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ))),
inference(bind,[status(th)],]) ).
tff(77,plain,
! [ARG1: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(nnf-neg,[status(sab)],[75,76]) ).
tff(78,plain,
! [ARG1: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(modus_ponens,[status(thm)],[77,63]) ).
tff(79,plain,
( ~ ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(ARG1,c_pushingababycarriage) )
| ~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(80,plain,
$false,
inference(unit_resolution,[status(thm)],[79,78,61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CSR073+3 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n006.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 19:53:24 EDT 2022
% 0.13/0.34 % 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.
% 35.43/23.10 % SZS status Theorem
% 35.43/23.10 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------