%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR068+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:01:44 AM UTC 2025
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 52 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 298 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 389 ( 173 ~; 140 |; 32 &)
% ( 36 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 30 ( 30 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 71 ( 62 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptp_member2356_mt_type,type,
c_tptp_member2356_mt: $i ).
tff(tptpofobject_type,type,
tptpofobject: ( $i * $i ) > $o ).
tff(f_tptpquantityfn_1_type,type,
f_tptpquantityfn_1: $i > $i ).
tff(n_328_type,type,
n_328: $i ).
tff(c_theprototypicalfurpelt_type,type,
c_theprototypicalfurpelt: $i ).
tff(genlmt_type,type,
genlmt: ( $i * $i ) > $o ).
tff(c_tptp_spindleheadmt_type,type,
c_tptp_spindleheadmt: $i ).
tff(furpelt_type,type,
furpelt: $i > $o ).
tff(1,plain,
( mtvisible(c_tptp_member2356_mt)
<=> mtvisible(c_tptp_member2356_mt) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
( ~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) )
<=> ~ ( ~ mtvisible(c_tptp_member2356_mt)
| tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query118) ).
tff(4,plain,
~ ( ~ mtvisible(c_tptp_member2356_mt)
| tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
mtvisible(c_tptp_member2356_mt),
inference(or_elim,[status(thm)],[4]) ).
tff(6,plain,
mtvisible(c_tptp_member2356_mt),
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,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(8,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)],[7]) ).
tff(9,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(10,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)],[9]) ).
tff(11,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(12,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(13,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)],[12]) ).
tff(14,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
tff(15,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(skolemize,[status(sab)],[16]) ).
tff(18,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[17,10]) ).
tff(19,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[18,8]) ).
tff(20,plain,
( genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt)
<=> genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_446) ).
tff(22,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
<=> ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(or_elim,[status(thm)],[4]) ).
tff(25,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
( furpelt(c_theprototypicalfurpelt)
<=> furpelt(c_theprototypicalfurpelt) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_260) ).
tff(28,plain,
furpelt(c_theprototypicalfurpelt),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
^ [INS: $i] :
refl(( ( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) )
<=> ( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) ) )),
inference(bind,[status(th)],[]) ).
tff(30,plain,
( ! [INS: $i] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) )
<=> ! [INS: $i] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) ) ),
inference(quant_intro,[status(thm)],[29]) ).
tff(31,plain,
^ [INS: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
<=> ~ ( ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) ) )),
( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
<=> ~ ~ ( ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) ) )),
rewrite(( ~ ~ ( ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) )
<=> ( ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) ) )),
( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
<=> ( ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) ) )),
( ( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) )
<=> ( ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS)
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) ) )),
rewrite(( ( ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS)
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) )
<=> ( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) ) )),
( ( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) )
<=> ( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) ) )),
inference(bind,[status(th)],[]) ).
tff(32,plain,
( ! [INS: $i] :
( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) )
<=> ! [INS: $i] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) ) ),
inference(quant_intro,[status(thm)],[31]) ).
tff(33,plain,
( ! [INS: $i] :
( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) )
<=> ! [INS: $i] :
( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,plain,
^ [INS: $i] :
rewrite(( ( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) )
<=> ( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) ) )),
inference(bind,[status(th)],[]) ).
tff(35,plain,
( ! [INS: $i] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) )
<=> ! [INS: $i] :
( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) ) ),
inference(quant_intro,[status(thm)],[34]) ).
tff(36,axiom,
! [INS: $i] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_80) ).
tff(37,plain,
! [INS: $i] :
( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
! [INS: $i] :
( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
inference(modus_ponens,[status(thm)],[37,33]) ).
tff(39,plain,
! [INS: $i] :
( ~ ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
inference(skolemize,[status(sab)],[38]) ).
tff(40,plain,
! [INS: $i] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) ),
inference(modus_ponens,[status(thm)],[39,32]) ).
tff(41,plain,
! [INS: $i] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) ),
inference(modus_ponens,[status(thm)],[40,30]) ).
tff(42,plain,
( ( ~ ! [INS: $i] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) )
| tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(c_theprototypicalfurpelt) )
<=> ( ~ ! [INS: $i] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) )
| tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(c_theprototypicalfurpelt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,plain,
( ~ ! [INS: $i] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) )
| tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(c_theprototypicalfurpelt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(44,plain,
( ~ ! [INS: $i] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(INS) )
| tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(c_theprototypicalfurpelt) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(unit_resolution,[status(thm)],[44,41,28,25]) ).
tff(46,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,plain,
( ( mtvisible(c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt) )
<=> ( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) ) ),
inference(monotonicity,[status(thm)],[47]) ).
tff(49,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) ) ),
inference(transitivity,[status(thm)],[48,46]) ).
tff(50,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(51,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) ),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
$false,
inference(unit_resolution,[status(thm)],[51,45,22,19,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CSR068+2 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n011.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 12:50:57 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.21/0.52 % SZS status Theorem
% 0.21/0.52 % SZS output start Proof
% See solution above
% 0.39/0.56 % E exiting
%------------------------------------------------------------------------------