%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR044+3 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 Jun 21 05:01:28 AM UTC 2025
% Result : Theorem 9.63s 9.87s
% Output : Proof 9.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 64
% Syntax : Number of formulae : 150 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 838 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 1163 ( 543 ~; 430 |; 78 &)
% ( 90 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 68 ( 68 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 302 ( 259 !; 9 ?; 302 :)
% Comments :
%------------------------------------------------------------------------------
tff(isa_type,type,
isa: ( $i * $i ) > $o ).
tff(c_tptpcol_16_29490_type,type,
c_tptpcol_16_29490: $i ).
tff(f_relationallexistsfn_type,type,
f_relationallexistsfn: ( $i * $i * $i * $i ) > $i ).
tff(c_executionbyfiringsquad_type,type,
c_executionbyfiringsquad: $i ).
tff(c_tptp_9_720_type,type,
c_tptp_9_720: $i ).
tff(c_tptpexecutionbyfiringsquad_90_type,type,
c_tptpexecutionbyfiringsquad_90: $i ).
tff(executionbyfiringsquad_type,type,
executionbyfiringsquad: $i > $o ).
tff(relationallexists_type,type,
relationallexists: ( $i * $i * $i ) > $o ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_cyclistsmt_type,type,
c_cyclistsmt: $i ).
tff(c_tptp_member3633_mt_type,type,
c_tptp_member3633_mt: $i ).
tff(tptp_9_720_type,type,
tptp_9_720: ( $i * $i ) > $o ).
tff(c_tptpcol_15_30622_type,type,
c_tptpcol_15_30622: $i ).
tff(tptpcol_16_29490_type,type,
tptpcol_16_29490: $i > $o ).
tff(genlmt_type,type,
genlmt: ( $i * $i ) > $o ).
tff(c_tptp_spindleheadmt_type,type,
c_tptp_spindleheadmt: $i ).
tff(1,plain,
^ [X: $i] :
refl(( ( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) )
<=> ( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) )
<=> ! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) )
<=> ! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
^ [X: $i] :
rewrite(( ( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) )
<=> ( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [X: $i] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) )
<=> ! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,axiom,
! [X: $i] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7920) ).
tff(7,plain,
! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
<=> executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_19) ).
tff(13,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
( ( ~ ! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) )
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) )
<=> ( ~ ! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) )
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,plain,
( ~ ! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) )
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
inference(quant_inst,[status(thm)],[]) ).
tff(16,plain,
( ~ ! [X: $i] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) )
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(unit_resolution,[status(thm)],[16,13,10]) ).
tff(18,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
refl(( ( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(19,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ~ ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
rewrite(( ~ ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
( ( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ) )),
rewrite(( ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
( ( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(21,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
rewrite(( ( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(24,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ) ),
inference(quant_intro,[status(thm)],[23]) ).
tff(25,axiom,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2981) ).
tff(26,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
inference(modus_ponens,[status(thm)],[26,22]) ).
tff(28,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
inference(skolemize,[status(sab)],[27]) ).
tff(29,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ),
inference(modus_ponens,[status(thm)],[28,21]) ).
tff(30,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ),
inference(modus_ponens,[status(thm)],[29,19]) ).
tff(31,plain,
^ [X: $i] :
refl(( ~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) )
<=> ~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ) )),
inference(bind,[status(th)],[]) ).
tff(32,plain,
( ! [X: $i] :
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) )
<=> ! [X: $i] :
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ) ),
inference(quant_intro,[status(thm)],[31]) ).
tff(33,plain,
^ [X: $i] :
rewrite(( ~ ( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) )
<=> ~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ) )),
inference(bind,[status(th)],[]) ).
tff(34,plain,
( ! [X: $i] :
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) )
<=> ! [X: $i] :
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ) ),
inference(quant_intro,[status(thm)],[33]) ).
tff(35,plain,
( ~ ? [X: $i] :
( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) )
<=> ~ ? [X: $i] :
( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(36,plain,
( ~ ? [X: $i] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) )
<=> ~ ? [X: $i] :
( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,axiom,
~ ? [X: $i] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query144) ).
tff(38,plain,
~ ? [X: $i] :
( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
~ ? [X: $i] :
( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
inference(modus_ponens,[status(thm)],[38,35]) ).
tff(40,plain,
~ ? [X: $i] :
( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
inference(modus_ponens,[status(thm)],[39,35]) ).
tff(41,plain,
~ ? [X: $i] :
( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
inference(modus_ponens,[status(thm)],[40,35]) ).
tff(42,plain,
^ [X: $i] :
refl($oeq(~ ( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ))),
inference(bind,[status(th)],[]) ).
tff(43,plain,
! [X: $i] :
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
inference(nnf-neg,[status(sab)],[41,42]) ).
tff(44,plain,
! [X: $i] :
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
inference(modus_ponens,[status(thm)],[43,34]) ).
tff(45,plain,
! [X: $i] :
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
inference(modus_ponens,[status(thm)],[44,32]) ).
tff(46,plain,
( ~ ! [X: $i] :
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) )
| ~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_15_30622))
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_15_30622)) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(47,plain,
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_15_30622))
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_15_30622)) ) ),
inference(unit_resolution,[status(thm)],[46,45]) ).
tff(48,plain,
( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_15_30622))
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_15_30622)) )
| mtvisible(c_tptp_member3633_mt) ),
inference(tautology,[status(thm)],[]) ).
tff(49,plain,
mtvisible(c_tptp_member3633_mt),
inference(unit_resolution,[status(thm)],[48,47]) ).
tff(50,plain,
( ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
<=> ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,plain,
^ [X: $i,Y: $i,Z: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( genlmt(X,Y)
& genlmt(Y,Z) )
<=> ~ ( ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ) )),
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
<=> ~ ~ ( ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ) )),
rewrite(( ~ ~ ( ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
<=> ( ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ) )),
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
<=> ( ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ) )),
( ( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) )
<=> ( ~ genlmt(Y,Z)
| ~ genlmt(X,Y)
| genlmt(X,Z) ) )),
rewrite(( ( ~ genlmt(Y,Z)
| ~ genlmt(X,Y)
| genlmt(X,Z) )
<=> ( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ) )),
( ( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) )
<=> ( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ) )),
inference(bind,[status(th)],[]) ).
tff(52,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ) ),
inference(quant_intro,[status(thm)],[51]) ).
tff(53,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,plain,
^ [X: $i,Y: $i,Z: $i] :
rewrite(( ( ( genlmt(X,Y)
& genlmt(Y,Z) )
=> genlmt(X,Z) )
<=> ( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) ) )),
inference(bind,[status(th)],[]) ).
tff(55,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ( genlmt(X,Y)
& genlmt(Y,Z) )
=> genlmt(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) ) ),
inference(quant_intro,[status(thm)],[54]) ).
tff(56,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( genlmt(X,Y)
& genlmt(Y,Z) )
=> genlmt(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_8002) ).
tff(57,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) ),
inference(modus_ponens,[status(thm)],[57,53]) ).
tff(59,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) ),
inference(skolemize,[status(sab)],[58]) ).
tff(60,plain,
! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(modus_ponens,[status(thm)],[59,52]) ).
tff(61,plain,
! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(modus_ponens,[status(thm)],[60,50]) ).
tff(62,plain,
( genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
<=> genlmt(c_tptp_spindleheadmt,c_cyclistsmt) ),
inference(rewrite,[status(thm)],[]) ).
tff(63,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_4288) ).
tff(64,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
( genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt)
<=> genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) ),
inference(rewrite,[status(thm)],[]) ).
tff(66,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_142) ).
tff(67,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,plain,
( ( genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) )
<=> ( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(70,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) ) ),
inference(monotonicity,[status(thm)],[69]) ).
tff(71,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) ) ),
inference(transitivity,[status(thm)],[70,68]) ).
tff(72,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(73,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) ),
inference(modus_ponens,[status(thm)],[72,71]) ).
tff(74,plain,
genlmt(c_tptp_member3633_mt,c_cyclistsmt),
inference(unit_resolution,[status(thm)],[73,67,64,61]) ).
tff(75,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(76,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)],[75]) ).
tff(77,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(78,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)],[77]) ).
tff(79,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(80,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(81,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)],[80]) ).
tff(82,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).
tff(83,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[82,81]) ).
tff(84,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[83,79]) ).
tff(85,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(skolemize,[status(sab)],[84]) ).
tff(86,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[85,78]) ).
tff(87,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[86,76]) ).
tff(88,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt)
| ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt)
| ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(89,plain,
( ( mtvisible(c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt) )
<=> ( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt)
| ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(90,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt)
| ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt) ) ),
inference(monotonicity,[status(thm)],[89]) ).
tff(91,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt)
| ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt) ) ),
inference(transitivity,[status(thm)],[90,88]) ).
tff(92,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(93,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt)
| ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt) ),
inference(modus_ponens,[status(thm)],[92,91]) ).
tff(94,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt) ),
inference(unit_resolution,[status(thm)],[93,87,74]) ).
tff(95,plain,
mtvisible(c_cyclistsmt),
inference(unit_resolution,[status(thm)],[94,49]) ).
tff(96,plain,
( ( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) )
<=> ( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(97,plain,
( ( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) )
<=> ( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(98,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2496) ).
tff(99,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(modus_ponens,[status(thm)],[98,97]) ).
tff(100,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(modus_ponens,[status(thm)],[99,96]) ).
tff(101,plain,
relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
inference(unit_resolution,[status(thm)],[100,95]) ).
tff(102,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(103,plain,
( ( isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) )
<=> ( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(104,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ) ),
inference(monotonicity,[status(thm)],[103]) ).
tff(105,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ) ),
inference(transitivity,[status(thm)],[104,102]) ).
tff(106,plain,
( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(quant_inst,[status(thm)],[]) ).
tff(107,plain,
( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),
inference(unit_resolution,[status(thm)],[107,101,30,17]) ).
tff(109,plain,
( ~ ! [X: $i] :
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) )
| ~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(110,plain,
~ ( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) ),
inference(unit_resolution,[status(thm)],[109,45]) ).
tff(111,plain,
( ~ mtvisible(c_tptp_member3633_mt)
| ~ ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )
| ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(tautology,[status(thm)],[]) ).
tff(112,plain,
( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(unit_resolution,[status(thm)],[111,110]) ).
tff(113,plain,
^ [TERM: $i] :
refl(( ( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) )
<=> ( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) ) )),
inference(bind,[status(th)],[]) ).
tff(114,plain,
( ! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) )
<=> ! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) ) ),
inference(quant_intro,[status(thm)],[113]) ).
tff(115,plain,
^ [TERM: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
<=> ~ ( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) ) )),
( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
<=> ~ ~ ( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) ) )),
rewrite(( ~ ~ ( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) )
<=> ( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) ) )),
( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
<=> ( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) ) )),
( ( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )
<=> ( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM)
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) )),
rewrite(( ( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM)
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )
<=> ( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) ) )),
( ( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )
<=> ( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) ) )),
inference(bind,[status(th)],[]) ).
tff(116,plain,
( ! [TERM: $i] :
( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )
<=> ! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) ) ),
inference(quant_intro,[status(thm)],[115]) ).
tff(117,plain,
( ! [TERM: $i] :
( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )
<=> ! [TERM: $i] :
( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(118,plain,
^ [TERM: $i] :
rewrite(( ( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
=> tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )
<=> ( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) )),
inference(bind,[status(th)],[]) ).
tff(119,plain,
( ! [TERM: $i] :
( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
=> tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )
<=> ! [TERM: $i] :
( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) ),
inference(quant_intro,[status(thm)],[118]) ).
tff(120,axiom,
! [TERM: $i] :
( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
=> tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2495) ).
tff(121,plain,
! [TERM: $i] :
( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(modus_ponens,[status(thm)],[120,119]) ).
tff(122,plain,
! [TERM: $i] :
( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(modus_ponens,[status(thm)],[121,117]) ).
tff(123,plain,
! [TERM: $i] :
( ~ ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(skolemize,[status(sab)],[122]) ).
tff(124,plain,
! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) ),
inference(modus_ponens,[status(thm)],[123,116]) ).
tff(125,plain,
! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) ),
inference(modus_ponens,[status(thm)],[124,114]) ).
tff(126,plain,
( ( ~ ! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) )
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )
<=> ( ~ ! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) )
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(127,plain,
( ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) )
<=> ( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(128,plain,
( ( ~ ! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) )
| tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) )
<=> ( ~ ! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) )
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) ),
inference(monotonicity,[status(thm)],[127]) ).
tff(129,plain,
( ( ~ ! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) )
| tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) )
<=> ( ~ ! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) )
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) ),
inference(transitivity,[status(thm)],[128,126]) ).
tff(130,plain,
( ~ ! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) )
| tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
inference(quant_inst,[status(thm)],[]) ).
tff(131,plain,
( ~ ! [TERM: $i] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(TERM) )
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(modus_ponens,[status(thm)],[130,129]) ).
tff(132,plain,
( ~ mtvisible(c_cyclistsmt)
| tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(unit_resolution,[status(thm)],[131,13,125]) ).
tff(133,plain,
tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(unit_resolution,[status(thm)],[132,95]) ).
tff(134,plain,
( ~ ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )
| ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(tautology,[status(thm)],[]) ).
tff(135,plain,
( ~ ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )
| ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(unit_resolution,[status(thm)],[134,133]) ).
tff(136,plain,
~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(unit_resolution,[status(thm)],[135,112]) ).
tff(137,plain,
^ [X: $i] :
refl(( ( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) )
<=> ( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ) )),
inference(bind,[status(th)],[]) ).
tff(138,plain,
( ! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) )
<=> ! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ) ),
inference(quant_intro,[status(thm)],[137]) ).
tff(139,plain,
( ! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) )
<=> ! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(140,plain,
^ [X: $i] :
rewrite(( ( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) )
<=> ( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ) )),
inference(bind,[status(th)],[]) ).
tff(141,plain,
( ! [X: $i] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) )
<=> ! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ) ),
inference(quant_intro,[status(thm)],[140]) ).
tff(142,axiom,
! [X: $i] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_5730) ).
tff(143,plain,
! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ),
inference(modus_ponens,[status(thm)],[142,141]) ).
tff(144,plain,
! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ),
inference(modus_ponens,[status(thm)],[143,139]) ).
tff(145,plain,
! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ),
inference(skolemize,[status(sab)],[144]) ).
tff(146,plain,
! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ),
inference(modus_ponens,[status(thm)],[145,138]) ).
tff(147,plain,
( ( ~ ! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) )
| tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) )
<=> ( ~ ! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) )
| tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(148,plain,
( ~ ! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) )
| tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(quant_inst,[status(thm)],[]) ).
tff(149,plain,
( ~ ! [X: $i] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) )
| tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(modus_ponens,[status(thm)],[148,147]) ).
tff(150,plain,
$false,
inference(unit_resolution,[status(thm)],[149,146,136,108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR044+3 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n013.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 : Thu Jun 19 12:37:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 9.63/9.87 % SZS status Theorem
% 9.63/9.87 % SZS output start Proof
% See solution above
% 9.83/10.08 % E exiting
%------------------------------------------------------------------------------