%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR062+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:01:40 AM UTC 2025
% Result : Theorem 85.90s 86.07s
% Output : Proof 85.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 49
% Syntax : Number of formulae : 111 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 496 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 630 ( 284 ~; 239 |; 32 &)
% ( 56 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 39 ( 39 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 229 ( 194 !; 9 ?; 229 :)
% Comments :
%------------------------------------------------------------------------------
tff(tptptypes_5_387_type,type,
tptptypes_5_387: ( $i * $i ) > $o ).
tff(c_pushingwithfingers_type,type,
c_pushingwithfingers: $i ).
tff(c_tptpcol_15_4027_type,type,
c_tptpcol_15_4027: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptp_member3205_mt_type,type,
c_tptp_member3205_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(tptptypes_8_390_type,type,
tptptypes_8_390: ( $i * $i ) > $o ).
tff(c_cyclistsmt_type,type,
c_cyclistsmt: $i ).
tff(c_tptpcol_6_18436_type,type,
c_tptpcol_6_18436: $i ).
tff(genlmt_type,type,
genlmt: ( $i * $i ) > $o ).
tff(c_tptp_spindleheadmt_type,type,
c_tptp_spindleheadmt: $i ).
tff(1,plain,
^ [ARG1: $i] :
refl(( ~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) )
<=> ~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) )
<=> ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) )
<=> ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
( ~ ? [ARG1: $i] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(ARG1,c_pushingwithfingers) )
<=> ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
~ ? [ARG1: $i] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(ARG1,c_pushingwithfingers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query112) ).
tff(6,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ),
inference(modus_ponens,[status(thm)],[6,3]) ).
tff(8,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ),
inference(modus_ponens,[status(thm)],[8,3]) ).
tff(10,plain,
^ [ARG1: $i] :
refl($oeq(~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ),
~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ))),
inference(bind,[status(th)],[]) ).
tff(11,plain,
! [ARG1: $i] :
~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ),
inference(nnf-neg,[status(sab)],[9,10]) ).
tff(12,plain,
! [ARG1: $i] :
~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) ),
inference(modus_ponens,[status(thm)],[11,2]) ).
tff(13,plain,
( ~ ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) )
| ~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(c_tptpcol_6_18436,c_pushingwithfingers) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(14,plain,
~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(c_tptpcol_6_18436,c_pushingwithfingers) ),
inference(unit_resolution,[status(thm)],[13,12]) ).
tff(15,plain,
( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(c_tptpcol_6_18436,c_pushingwithfingers)
| mtvisible(c_tptp_member3205_mt) ),
inference(tautology,[status(thm)],[]) ).
tff(16,plain,
mtvisible(c_tptp_member3205_mt),
inference(unit_resolution,[status(thm)],[15,14]) ).
tff(17,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(18,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(19,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)],[18]) ).
tff(20,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(21,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(22,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)],[21]) ).
tff(23,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( genlmt(X,Y)
& genlmt(Y,Z) )
=> genlmt(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1128) ).
tff(24,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( genlmt(X,Y)
& genlmt(Y,Z) )
| genlmt(X,Z) ),
inference(skolemize,[status(sab)],[25]) ).
tff(27,plain,
! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(modus_ponens,[status(thm)],[26,19]) ).
tff(28,plain,
! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(modus_ponens,[status(thm)],[27,17]) ).
tff(29,plain,
( genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
<=> genlmt(c_tptp_spindleheadmt,c_cyclistsmt) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).
tff(31,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
( genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt)
<=> genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,axiom,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_34) ).
tff(34,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| genlmt(c_tptp_member3205_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| genlmt(c_tptp_member3205_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(36,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| genlmt(c_tptp_member3205_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(37,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) )
| genlmt(c_tptp_member3205_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt) ),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
genlmt(c_tptp_member3205_mt,c_cyclistsmt),
inference(unit_resolution,[status(thm)],[37,34,31,28]) ).
tff(39,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(40,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)],[39]) ).
tff(41,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(42,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)],[41]) ).
tff(43,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(44,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(45,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)],[44]) ).
tff(46,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
tff(47,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[47,43]) ).
tff(49,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(skolemize,[status(sab)],[48]) ).
tff(50,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[49,42]) ).
tff(51,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[50,40]) ).
tff(52,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3205_mt)
| ~ genlmt(c_tptp_member3205_mt,c_cyclistsmt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3205_mt)
| ~ genlmt(c_tptp_member3205_mt,c_cyclistsmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(53,plain,
( ( mtvisible(c_cyclistsmt)
| ~ genlmt(c_tptp_member3205_mt,c_cyclistsmt)
| ~ mtvisible(c_tptp_member3205_mt) )
<=> ( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3205_mt)
| ~ genlmt(c_tptp_member3205_mt,c_cyclistsmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ genlmt(c_tptp_member3205_mt,c_cyclistsmt)
| ~ mtvisible(c_tptp_member3205_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3205_mt)
| ~ genlmt(c_tptp_member3205_mt,c_cyclistsmt) ) ),
inference(monotonicity,[status(thm)],[53]) ).
tff(55,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ genlmt(c_tptp_member3205_mt,c_cyclistsmt)
| ~ mtvisible(c_tptp_member3205_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3205_mt)
| ~ genlmt(c_tptp_member3205_mt,c_cyclistsmt) ) ),
inference(transitivity,[status(thm)],[54,52]) ).
tff(56,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ genlmt(c_tptp_member3205_mt,c_cyclistsmt)
| ~ mtvisible(c_tptp_member3205_mt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(57,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3205_mt)
| ~ genlmt(c_tptp_member3205_mt,c_cyclistsmt) ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3205_mt) ),
inference(unit_resolution,[status(thm)],[57,51,38]) ).
tff(59,plain,
mtvisible(c_cyclistsmt),
inference(unit_resolution,[status(thm)],[58,16]) ).
tff(60,plain,
( ( ~ mtvisible(c_cyclistsmt)
| tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) )
<=> ( ~ mtvisible(c_cyclistsmt)
| tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(61,plain,
( ( mtvisible(c_cyclistsmt)
=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) )
<=> ( ~ mtvisible(c_cyclistsmt)
| tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(62,axiom,
( mtvisible(c_cyclistsmt)
=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_460) ).
tff(63,plain,
( ~ mtvisible(c_cyclistsmt)
| tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
( ~ mtvisible(c_cyclistsmt)
| tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
inference(modus_ponens,[status(thm)],[63,60]) ).
tff(65,plain,
tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027),
inference(unit_resolution,[status(thm)],[64,59]) ).
tff(66,plain,
^ [ARG1: $i,ARG2: $i] :
refl(( ( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) )
<=> ( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(67,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[66]) ).
tff(68,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(( ( tptptypes_8_390(ARG1,ARG2)
=> tptptypes_7_389(ARG1,ARG2) )
<=> ( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(70,plain,
( ! [ARG1: $i,ARG2: $i] :
( tptptypes_8_390(ARG1,ARG2)
=> tptptypes_7_389(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[69]) ).
tff(71,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_8_390(ARG1,ARG2)
=> tptptypes_7_389(ARG1,ARG2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_61) ).
tff(72,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[72,68]) ).
tff(74,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) ),
inference(skolemize,[status(sab)],[73]) ).
tff(75,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[74,67]) ).
tff(76,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) )
| ~ tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) )
| ~ tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(77,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) )
| ~ tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027) ),
inference(quant_inst,[status(thm)],[]) ).
tff(78,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_390(ARG1,ARG2)
| tptptypes_7_389(ARG1,ARG2) )
| ~ tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027) ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027),
inference(unit_resolution,[status(thm)],[78,75,65]) ).
tff(80,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(81,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)],[80]) ).
tff(82,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(83,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(84,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)],[83]) ).
tff(85,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_7_389(ARG1,ARG2)
=> tptptypes_6_388(ARG2,ARG1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_302) ).
tff(86,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[85,84]) ).
tff(87,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[86,82]) ).
tff(88,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ),
inference(skolemize,[status(sab)],[87]) ).
tff(89,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[88,81]) ).
tff(90,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) )
| ~ tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
| tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) )
| ~ tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
| tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(91,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) )
| ~ tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
| tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers) ),
inference(quant_inst,[status(thm)],[]) ).
tff(92,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_389(ARG1,ARG2)
| tptptypes_6_388(ARG2,ARG1) )
| ~ tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
| tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers) ),
inference(modus_ponens,[status(thm)],[91,90]) ).
tff(93,plain,
tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers),
inference(unit_resolution,[status(thm)],[92,89,79]) ).
tff(94,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(95,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)],[94]) ).
tff(96,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(97,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(98,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)],[97]) ).
tff(99,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_99) ).
tff(100,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[99,98]) ).
tff(101,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[100,96]) ).
tff(102,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(skolemize,[status(sab)],[101]) ).
tff(103,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[102,95]) ).
tff(104,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers)
| tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers)
| tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(105,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers)
| tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers) ),
inference(quant_inst,[status(thm)],[]) ).
tff(106,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_388(ARG1,ARG2)
| tptptypes_5_387(ARG1,ARG2) )
| ~ tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers)
| tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers) ),
inference(modus_ponens,[status(thm)],[105,104]) ).
tff(107,plain,
tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers),
inference(unit_resolution,[status(thm)],[106,103,93]) ).
tff(108,plain,
( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers)
| ~ tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers) ),
inference(tautology,[status(thm)],[]) ).
tff(109,plain,
( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers) ),
inference(unit_resolution,[status(thm)],[108,107]) ).
tff(110,plain,
( ~ ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(ARG1,c_pushingwithfingers) )
| ~ ( ~ mtvisible(c_tptp_member3205_mt)
| tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(111,plain,
$false,
inference(unit_resolution,[status(thm)],[110,12,109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR062+2 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n016.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 : Thu Jun 19 12:47:47 EDT 2025
% 0.13/0.34 % CPUTime :
% 85.90/86.07 % SZS status Theorem
% 85.90/86.07 % SZS output start Proof
% See solution above
% 85.96/86.13 % E exiting
%------------------------------------------------------------------------------