%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR061+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 05:01:39 AM UTC 2025
% Result : Theorem 0.85s 1.01s
% Output : Proof 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 102
% Syntax : Number of formulae : 207 ( 64 unt; 0 typ; 0 def)
% Number of atoms : 1130 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 1629 ( 752 ~; 705 |; 48 &)
% ( 110 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 46 ( 46 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 504 ( 476 !; 0 ?; 504 :)
% Comments :
%------------------------------------------------------------------------------
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_tptpcol_3_98305_type,type,
c_tptpcol_3_98305: $i ).
tff(c_tptpcol_12_118116_type,type,
c_tptpcol_12_118116: $i ).
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(c_tptpcol_8_114177_type,type,
c_tptpcol_8_114177: $i ).
tff(c_tptpcol_5_110593_type,type,
c_tptpcol_5_110593: $i ).
tff(c_tptpcol_7_113665_type,type,
c_tptpcol_7_113665: $i ).
tff(c_tptpcol_6_112641_type,type,
c_tptpcol_6_112641: $i ).
tff(c_tptpcol_4_106497_type,type,
c_tptpcol_4_106497: $i ).
tff(c_tptpcol_14_118118_type,type,
c_tptpcol_14_118118: $i ).
tff(c_tptpcol_13_118117_type,type,
c_tptpcol_13_118117: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_timehasnoendmt_type,type,
c_timehasnoendmt: $i ).
tff(c_tptpcol_3_114688_type,type,
c_tptpcol_3_114688: $i ).
tff(c_tptpcol_8_117763_type,type,
c_tptpcol_8_117763: $i ).
tff(c_tptpcol_6_116738_type,type,
c_tptpcol_6_116738: $i ).
tff(c_tptpcol_5_114690_type,type,
c_tptpcol_5_114690: $i ).
tff(c_tptpcol_4_114689_type,type,
c_tptpcol_4_114689: $i ).
tff(c_tptpcol_7_117762_type,type,
c_tptpcol_7_117762: $i ).
tff(c_tptpcol_10_118020_type,type,
c_tptpcol_10_118020: $i ).
tff(c_tptpcol_11_118084_type,type,
c_tptpcol_11_118084: $i ).
tff(c_tptpcol_9_118019_type,type,
c_tptpcol_9_118019: $i ).
tff(1,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
rewrite(( ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) ) )),
rewrite(( ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
inference(bind,[status(th)],[]) ).
tff(3,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[2]) ).
tff(4,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
rewrite(( ( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) )),
inference(bind,[status(th)],[]) ).
tff(6,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1113) ).
tff(8,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(skolemize,[status(sab)],[9]) ).
tff(11,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[10,3]) ).
tff(12,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[11,1]) ).
tff(13,plain,
( genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
<=> genls(c_tptpcol_6_112641,c_tptpcol_5_110593) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_393) ).
tff(15,plain,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
<=> genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_215) ).
tff(18,plain,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ),
inference(quant_inst,[status(thm)],[]) ).
tff(21,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
genls(c_tptpcol_7_113665,c_tptpcol_5_110593),
inference(unit_resolution,[status(thm)],[21,18,15,12]) ).
tff(23,plain,
( genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
<=> genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,axiom,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_401) ).
tff(25,plain,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_5_110593) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_5_110593) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,plain,
( ( genls(c_tptpcol_8_114177,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
<=> ( ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_5_110593) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(28,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_5_110593) ) ),
inference(monotonicity,[status(thm)],[27]) ).
tff(29,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_5_110593) ) ),
inference(transitivity,[status(thm)],[28,26]) ).
tff(30,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ),
inference(quant_inst,[status(thm)],[]) ).
tff(31,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_5_110593) ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
genls(c_tptpcol_8_114177,c_tptpcol_5_110593),
inference(unit_resolution,[status(thm)],[31,25,12,22]) ).
tff(33,plain,
( genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
<=> genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,axiom,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_489) ).
tff(35,plain,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
( genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
<=> genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,axiom,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_68) ).
tff(38,plain,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,plain,
( ( genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) )
<=> ( ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(41,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(monotonicity,[status(thm)],[40]) ).
tff(42,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(transitivity,[status(thm)],[41,39]) ).
tff(43,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ),
inference(quant_inst,[status(thm)],[]) ).
tff(44,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
genls(c_tptpcol_5_110593,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[44,38,35,12]) ).
tff(46,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,plain,
( ( genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_5_110593) )
<=> ( ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_5_110593) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ) ),
inference(monotonicity,[status(thm)],[47]) ).
tff(49,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_5_110593) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ) ),
inference(transitivity,[status(thm)],[48,46]) ).
tff(50,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_5_110593) ),
inference(quant_inst,[status(thm)],[]) ).
tff(51,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_5_110593)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
genls(c_tptpcol_8_114177,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[51,12,45,32]) ).
tff(53,plain,
( genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
<=> genls(c_tptpcol_14_118118,c_tptpcol_13_118117) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,axiom,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_499) ).
tff(55,plain,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
( genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
<=> genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ),
inference(rewrite,[status(thm)],[]) ).
tff(57,axiom,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_422) ).
tff(58,plain,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
| genls(c_tptpcol_14_118118,c_tptpcol_12_118116) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
| genls(c_tptpcol_14_118118,c_tptpcol_12_118116) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,plain,
( ( genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) )
<=> ( ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
| genls(c_tptpcol_14_118118,c_tptpcol_12_118116) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(61,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
| genls(c_tptpcol_14_118118,c_tptpcol_12_118116) ) ),
inference(monotonicity,[status(thm)],[60]) ).
tff(62,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
| genls(c_tptpcol_14_118118,c_tptpcol_12_118116) ) ),
inference(transitivity,[status(thm)],[61,59]) ).
tff(63,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) ),
inference(quant_inst,[status(thm)],[]) ).
tff(64,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
| genls(c_tptpcol_14_118118,c_tptpcol_12_118116) ),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
genls(c_tptpcol_14_118118,c_tptpcol_12_118116),
inference(unit_resolution,[status(thm)],[64,58,55,12]) ).
tff(66,plain,
( ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
<=> ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(rewrite,[status(thm)],[]) ).
tff(67,plain,
( ~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) )
<=> ~ ( ~ mtvisible(c_timehasnoendmt)
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(68,axiom,
~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query111) ).
tff(69,plain,
~ ( ~ mtvisible(c_timehasnoendmt)
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(modus_ponens,[status(thm)],[68,67]) ).
tff(70,plain,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(or_elim,[status(thm)],[69]) ).
tff(71,plain,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(modus_ponens,[status(thm)],[70,66]) ).
tff(72,plain,
^ [X: $i,Y: $i] :
refl(( ( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) )),
inference(bind,[status(th)],[]) ).
tff(73,plain,
( ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(quant_intro,[status(thm)],[72]) ).
tff(74,plain,
( ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(75,plain,
^ [X: $i,Y: $i] :
rewrite(( ( disjointwith(X,Y)
=> disjointwith(Y,X) )
<=> ( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) )),
inference(bind,[status(th)],[]) ).
tff(76,plain,
( ! [X: $i,Y: $i] :
( disjointwith(X,Y)
=> disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(quant_intro,[status(thm)],[75]) ).
tff(77,axiom,
! [X: $i,Y: $i] :
( disjointwith(X,Y)
=> disjointwith(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1120) ).
tff(78,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[78,74]) ).
tff(80,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(skolemize,[status(sab)],[79]) ).
tff(81,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[80,73]) ).
tff(82,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_14_118118,c_tptpcol_8_114177)
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_14_118118,c_tptpcol_8_114177)
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(83,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_14_118118,c_tptpcol_8_114177)
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(quant_inst,[status(thm)],[]) ).
tff(84,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_14_118118,c_tptpcol_8_114177)
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
~ disjointwith(c_tptpcol_14_118118,c_tptpcol_8_114177),
inference(unit_resolution,[status(thm)],[84,81,71]) ).
tff(86,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
refl(( ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(87,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) ),
inference(quant_intro,[status(thm)],[86]) ).
tff(88,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ~ ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
rewrite(( ~ ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD)
| disjointwith(NEW,ARG2) ) )),
rewrite(( ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD)
| disjointwith(NEW,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) )),
( ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(89,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) ),
inference(quant_intro,[status(thm)],[88]) ).
tff(90,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(91,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
rewrite(( ( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) )
<=> ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(92,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ) ),
inference(quant_intro,[status(thm)],[91]) ).
tff(93,axiom,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1122) ).
tff(94,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[93,92]) ).
tff(95,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[94,90]) ).
tff(96,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(skolemize,[status(sab)],[95]) ).
tff(97,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(modus_ponens,[status(thm)],[96,89]) ).
tff(98,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(modus_ponens,[status(thm)],[97,87]) ).
tff(99,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_14_118118,c_tptpcol_8_114177)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
| ~ disjointwith(c_tptpcol_12_118116,c_tptpcol_8_114177) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_14_118118,c_tptpcol_8_114177)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
| ~ disjointwith(c_tptpcol_12_118116,c_tptpcol_8_114177) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(100,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_14_118118,c_tptpcol_8_114177)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
| ~ disjointwith(c_tptpcol_12_118116,c_tptpcol_8_114177) ),
inference(quant_inst,[status(thm)],[]) ).
tff(101,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_14_118118,c_tptpcol_8_114177)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
| ~ disjointwith(c_tptpcol_12_118116,c_tptpcol_8_114177) ),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
~ disjointwith(c_tptpcol_12_118116,c_tptpcol_8_114177),
inference(unit_resolution,[status(thm)],[101,98,85,65]) ).
tff(103,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
refl(( ( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) )
<=> ( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ) )),
inference(bind,[status(th)],[]) ).
tff(104,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[103]) ).
tff(105,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
<=> ~ ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
<=> ~ ~ ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
rewrite(( ~ ~ ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
<=> ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
<=> ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
( ( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD)
| disjointwith(ARG1,NEW) ) )),
rewrite(( ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD)
| disjointwith(ARG1,NEW) )
<=> ( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ) )),
( ( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ) )),
inference(bind,[status(th)],[]) ).
tff(106,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[105]) ).
tff(107,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(108,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
rewrite(( ( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) )
<=> ( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ) )),
inference(bind,[status(th)],[]) ).
tff(109,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ) ),
inference(quant_intro,[status(thm)],[108]) ).
tff(110,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1121) ).
tff(111,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[110,109]) ).
tff(112,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[111,107]) ).
tff(113,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(skolemize,[status(sab)],[112]) ).
tff(114,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[113,106]) ).
tff(115,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[114,104]) ).
tff(116,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) )
| disjointwith(c_tptpcol_12_118116,c_tptpcol_8_114177)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) )
| disjointwith(c_tptpcol_12_118116,c_tptpcol_8_114177)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(117,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) )
| disjointwith(c_tptpcol_12_118116,c_tptpcol_8_114177)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305) ),
inference(quant_inst,[status(thm)],[]) ).
tff(118,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) )
| disjointwith(c_tptpcol_12_118116,c_tptpcol_8_114177)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[117,116]) ).
tff(119,plain,
~ disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[118,115,102,52]) ).
tff(120,plain,
( genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
<=> genls(c_tptpcol_4_114689,c_tptpcol_3_114688) ),
inference(rewrite,[status(thm)],[]) ).
tff(121,axiom,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_235) ).
tff(122,plain,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
inference(modus_ponens,[status(thm)],[121,120]) ).
tff(123,plain,
( genls(c_tptpcol_5_114690,c_tptpcol_4_114689)
<=> genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
inference(rewrite,[status(thm)],[]) ).
tff(124,axiom,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_70) ).
tff(125,plain,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
inference(modus_ponens,[status(thm)],[124,123]) ).
tff(126,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(127,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
inference(quant_inst,[status(thm)],[]) ).
tff(128,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
inference(modus_ponens,[status(thm)],[127,126]) ).
tff(129,plain,
genls(c_tptpcol_5_114690,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[128,125,122,12]) ).
tff(130,plain,
( genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
<=> genls(c_tptpcol_6_116738,c_tptpcol_5_114690) ),
inference(rewrite,[status(thm)],[]) ).
tff(131,axiom,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_100) ).
tff(132,plain,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
inference(modus_ponens,[status(thm)],[131,130]) ).
tff(133,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(134,plain,
( ( genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
<=> ( ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(135,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(monotonicity,[status(thm)],[134]) ).
tff(136,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(transitivity,[status(thm)],[135,133]) ).
tff(137,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) ),
inference(quant_inst,[status(thm)],[]) ).
tff(138,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ),
inference(modus_ponens,[status(thm)],[137,136]) ).
tff(139,plain,
genls(c_tptpcol_6_116738,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[138,132,12,129]) ).
tff(140,plain,
( genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
<=> genls(c_tptpcol_7_117762,c_tptpcol_6_116738) ),
inference(rewrite,[status(thm)],[]) ).
tff(141,axiom,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_361) ).
tff(142,plain,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
inference(modus_ponens,[status(thm)],[141,140]) ).
tff(143,plain,
( genls(c_tptpcol_8_117763,c_tptpcol_7_117762)
<=> genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ),
inference(rewrite,[status(thm)],[]) ).
tff(144,axiom,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_356) ).
tff(145,plain,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
inference(modus_ponens,[status(thm)],[144,143]) ).
tff(146,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(147,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ),
inference(quant_inst,[status(thm)],[]) ).
tff(148,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ),
inference(modus_ponens,[status(thm)],[147,146]) ).
tff(149,plain,
genls(c_tptpcol_8_117763,c_tptpcol_6_116738),
inference(unit_resolution,[status(thm)],[148,145,142,12]) ).
tff(150,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(151,plain,
( ( genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) )
<=> ( ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(152,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(monotonicity,[status(thm)],[151]) ).
tff(153,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(transitivity,[status(thm)],[152,150]) ).
tff(154,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) ),
inference(quant_inst,[status(thm)],[]) ).
tff(155,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ),
inference(modus_ponens,[status(thm)],[154,153]) ).
tff(156,plain,
genls(c_tptpcol_8_117763,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[155,12,149,139]) ).
tff(157,plain,
( genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
<=> genls(c_tptpcol_12_118116,c_tptpcol_11_118084) ),
inference(rewrite,[status(thm)],[]) ).
tff(158,axiom,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_258) ).
tff(159,plain,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
inference(modus_ponens,[status(thm)],[158,157]) ).
tff(160,plain,
( genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
<=> genls(c_tptpcol_11_118084,c_tptpcol_10_118020) ),
inference(rewrite,[status(thm)],[]) ).
tff(161,axiom,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_129) ).
tff(162,plain,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
inference(modus_ponens,[status(thm)],[161,160]) ).
tff(163,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| genls(c_tptpcol_12_118116,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| genls(c_tptpcol_12_118116,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(164,plain,
( ( genls(c_tptpcol_12_118116,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084) )
<=> ( ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| genls(c_tptpcol_12_118116,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(165,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_118116,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| genls(c_tptpcol_12_118116,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084) ) ),
inference(monotonicity,[status(thm)],[164]) ).
tff(166,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_118116,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| genls(c_tptpcol_12_118116,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084) ) ),
inference(transitivity,[status(thm)],[165,163]) ).
tff(167,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_118116,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084) ),
inference(quant_inst,[status(thm)],[]) ).
tff(168,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| genls(c_tptpcol_12_118116,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084) ),
inference(modus_ponens,[status(thm)],[167,166]) ).
tff(169,plain,
genls(c_tptpcol_12_118116,c_tptpcol_10_118020),
inference(unit_resolution,[status(thm)],[168,162,159,12]) ).
tff(170,plain,
( genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
<=> genls(c_tptpcol_9_118019,c_tptpcol_8_117763) ),
inference(rewrite,[status(thm)],[]) ).
tff(171,axiom,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_387) ).
tff(172,plain,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
inference(modus_ponens,[status(thm)],[171,170]) ).
tff(173,plain,
( genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
<=> genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ),
inference(rewrite,[status(thm)],[]) ).
tff(174,axiom,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_160) ).
tff(175,plain,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
inference(modus_ponens,[status(thm)],[174,173]) ).
tff(176,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(177,plain,
( ( genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) )
<=> ( ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(178,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763) ) ),
inference(monotonicity,[status(thm)],[177]) ).
tff(179,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763) ) ),
inference(transitivity,[status(thm)],[178,176]) ).
tff(180,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ),
inference(quant_inst,[status(thm)],[]) ).
tff(181,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763) ),
inference(modus_ponens,[status(thm)],[180,179]) ).
tff(182,plain,
genls(c_tptpcol_10_118020,c_tptpcol_8_117763),
inference(unit_resolution,[status(thm)],[181,175,172,12]) ).
tff(183,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_118116,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_10_118020) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_118116,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_10_118020) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(184,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_118116,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_10_118020) ),
inference(quant_inst,[status(thm)],[]) ).
tff(185,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_118116,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_10_118020) ),
inference(modus_ponens,[status(thm)],[184,183]) ).
tff(186,plain,
genls(c_tptpcol_12_118116,c_tptpcol_8_117763),
inference(unit_resolution,[status(thm)],[185,12,182,169]) ).
tff(187,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_12_118116,c_tptpcol_3_114688) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_12_118116,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(188,plain,
( ( genls(c_tptpcol_12_118116,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_8_117763) )
<=> ( ~ genls(c_tptpcol_12_118116,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_12_118116,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(189,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_118116,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_12_118116,c_tptpcol_3_114688) ) ),
inference(monotonicity,[status(thm)],[188]) ).
tff(190,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_118116,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_12_118116,c_tptpcol_3_114688) ) ),
inference(transitivity,[status(thm)],[189,187]) ).
tff(191,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_118116,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_8_117763) ),
inference(quant_inst,[status(thm)],[]) ).
tff(192,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_12_118116,c_tptpcol_3_114688) ),
inference(modus_ponens,[status(thm)],[191,190]) ).
tff(193,plain,
genls(c_tptpcol_12_118116,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[192,12,186,156]) ).
tff(194,plain,
( disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
<=> disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688) ),
inference(rewrite,[status(thm)],[]) ).
tff(195,axiom,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_487) ).
tff(196,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
inference(modus_ponens,[status(thm)],[195,194]) ).
tff(197,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(198,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ),
inference(quant_inst,[status(thm)],[]) ).
tff(199,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[198,197]) ).
tff(200,plain,
disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[199,196,81]) ).
tff(201,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305)
| disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_3_114688) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305)
| disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(202,plain,
( ( disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_3_114688)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) )
<=> ( ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305)
| disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(203,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_3_114688)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305)
| disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_3_114688) ) ),
inference(monotonicity,[status(thm)],[202]) ).
tff(204,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_3_114688)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305)
| disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_3_114688) ) ),
inference(transitivity,[status(thm)],[203,201]) ).
tff(205,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_3_114688)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ),
inference(quant_inst,[status(thm)],[]) ).
tff(206,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305)
| disjointwith(c_tptpcol_12_118116,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_3_114688) ),
inference(modus_ponens,[status(thm)],[205,204]) ).
tff(207,plain,
$false,
inference(unit_resolution,[status(thm)],[206,98,200,193,119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR061+2 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 12:46:33 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.85/1.01 % SZS status Theorem
% 0.85/1.01 % SZS output start Proof
% See solution above
% 0.85/1.05 % E exiting
%------------------------------------------------------------------------------