%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR052+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 05:01:33 AM UTC 2025
% Result : Theorem 0.22s 0.60s
% Output : Proof 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 42
% Syntax : Number of formulae : 82 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 429 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 624 ( 291 ~; 271 |; 16 &)
% ( 41 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 14 ( 14 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 180 ( 174 !; 0 ?; 180 :)
% Comments :
%------------------------------------------------------------------------------
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(c_tptpcol_7_39939_type,type,
c_tptpcol_7_39939: $i ).
tff(c_tptpcol_11_40388_type,type,
c_tptpcol_11_40388: $i ).
tff(c_tptpcol_9_40196_type,type,
c_tptpcol_9_40196: $i ).
tff(c_tptpcol_8_39940_type,type,
c_tptpcol_8_39940: $i ).
tff(c_tptpcol_10_40324_type,type,
c_tptpcol_10_40324: $i ).
tff(c_tptpcol_15_40430_type,type,
c_tptpcol_15_40430: $i ).
tff(c_tptpcol_13_40421_type,type,
c_tptpcol_13_40421: $i ).
tff(c_tptpcol_12_40420_type,type,
c_tptpcol_12_40420: $i ).
tff(c_tptpcol_14_40429_type,type,
c_tptpcol_14_40429: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(f_contentmtofcdafromeventfn_type,type,
f_contentmtofcdafromeventfn: ( $i * $i ) > $i ).
tff(c_translation_33_type,type,
c_translation_33: $i ).
tff(f_urlreferentfn_type,type,
f_urlreferentfn: $i > $i ).
tff(f_urlfn_type,type,
f_urlfn: $i > $i ).
tff(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml_type,type,
s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml: $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/sandbox/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_9_40196,c_tptpcol_8_39940)
<=> genls(c_tptpcol_9_40196,c_tptpcol_8_39940) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_470) ).
tff(15,plain,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
<=> genls(c_tptpcol_8_39940,c_tptpcol_7_39939) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_438) ).
tff(18,plain,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
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_9_40196,c_tptpcol_8_39940)
| ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
| genls(c_tptpcol_9_40196,c_tptpcol_7_39939) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940)
| ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
| genls(c_tptpcol_9_40196,c_tptpcol_7_39939) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( genls(c_tptpcol_9_40196,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940) )
<=> ( ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940)
| ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
| genls(c_tptpcol_9_40196,c_tptpcol_7_39939) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_40196,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940)
| ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
| genls(c_tptpcol_9_40196,c_tptpcol_7_39939) ) ),
inference(monotonicity,[status(thm)],[20]) ).
tff(22,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_40196,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940)
| ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
| genls(c_tptpcol_9_40196,c_tptpcol_7_39939) ) ),
inference(transitivity,[status(thm)],[21,19]) ).
tff(23,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_40196,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940) ),
inference(quant_inst,[status(thm)],[]) ).
tff(24,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940)
| ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
| genls(c_tptpcol_9_40196,c_tptpcol_7_39939) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
genls(c_tptpcol_9_40196,c_tptpcol_7_39939),
inference(unit_resolution,[status(thm)],[24,18,15,12]) ).
tff(26,plain,
( genls(c_tptpcol_11_40388,c_tptpcol_10_40324)
<=> genls(c_tptpcol_11_40388,c_tptpcol_10_40324) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_424) ).
tff(28,plain,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
<=> genls(c_tptpcol_10_40324,c_tptpcol_9_40196) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,axiom,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_76) ).
tff(31,plain,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324)
| ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_9_40196) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324)
| ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_9_40196) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,plain,
( ( genls(c_tptpcol_11_40388,c_tptpcol_9_40196)
| ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324) )
<=> ( ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324)
| ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_9_40196) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_40388,c_tptpcol_9_40196)
| ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324)
| ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_9_40196) ) ),
inference(monotonicity,[status(thm)],[33]) ).
tff(35,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_40388,c_tptpcol_9_40196)
| ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324)
| ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_9_40196) ) ),
inference(transitivity,[status(thm)],[34,32]) ).
tff(36,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_40388,c_tptpcol_9_40196)
| ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324) ),
inference(quant_inst,[status(thm)],[]) ).
tff(37,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324)
| ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_9_40196) ),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
genls(c_tptpcol_11_40388,c_tptpcol_9_40196),
inference(unit_resolution,[status(thm)],[37,31,28,12]) ).
tff(39,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_40388,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_40388,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,plain,
( ( genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_9_40196) )
<=> ( ~ genls(c_tptpcol_11_40388,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939) ) ),
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_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_9_40196) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_40388,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939) ) ),
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_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_9_40196) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_40388,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939) ) ),
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_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_9_40196) ),
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_11_40388,c_tptpcol_9_40196)
| genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
genls(c_tptpcol_11_40388,c_tptpcol_7_39939),
inference(unit_resolution,[status(thm)],[44,12,38,25]) ).
tff(46,plain,
( genls(c_tptpcol_12_40420,c_tptpcol_11_40388)
<=> genls(c_tptpcol_12_40420,c_tptpcol_11_40388) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,axiom,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_54) ).
tff(48,plain,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
( genls(c_tptpcol_13_40421,c_tptpcol_12_40420)
<=> genls(c_tptpcol_13_40421,c_tptpcol_12_40420) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,axiom,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_16) ).
tff(51,plain,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_40421,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_12_40420,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_12_40420) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_40421,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_12_40420,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_12_40420) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(53,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_40421,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_12_40420,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_12_40420) ),
inference(quant_inst,[status(thm)],[]) ).
tff(54,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_40421,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_12_40420,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_12_40420) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
genls(c_tptpcol_13_40421,c_tptpcol_11_40388),
inference(unit_resolution,[status(thm)],[54,51,48,12]) ).
tff(56,plain,
( genls(c_tptpcol_14_40429,c_tptpcol_13_40421)
<=> genls(c_tptpcol_14_40429,c_tptpcol_13_40421) ),
inference(rewrite,[status(thm)],[]) ).
tff(57,axiom,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_186) ).
tff(58,plain,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
( genls(c_tptpcol_15_40430,c_tptpcol_14_40429)
<=> genls(c_tptpcol_15_40430,c_tptpcol_14_40429) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,axiom,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_4) ).
tff(61,plain,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_40430,c_tptpcol_13_40421)
| ~ genls(c_tptpcol_14_40429,c_tptpcol_13_40421)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_14_40429) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_40430,c_tptpcol_13_40421)
| ~ genls(c_tptpcol_14_40429,c_tptpcol_13_40421)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_14_40429) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(63,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_40430,c_tptpcol_13_40421)
| ~ genls(c_tptpcol_14_40429,c_tptpcol_13_40421)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_14_40429) ),
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_15_40430,c_tptpcol_13_40421)
| ~ genls(c_tptpcol_14_40429,c_tptpcol_13_40421)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_14_40429) ),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
genls(c_tptpcol_15_40430,c_tptpcol_13_40421),
inference(unit_resolution,[status(thm)],[64,61,58,12]) ).
tff(66,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_40430,c_tptpcol_13_40421)
| genls(c_tptpcol_15_40430,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_11_40388) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_40430,c_tptpcol_13_40421)
| genls(c_tptpcol_15_40430,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_11_40388) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(67,plain,
( ( genls(c_tptpcol_15_40430,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_13_40421) )
<=> ( ~ genls(c_tptpcol_15_40430,c_tptpcol_13_40421)
| genls(c_tptpcol_15_40430,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_11_40388) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(68,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_40430,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_13_40421) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_40430,c_tptpcol_13_40421)
| genls(c_tptpcol_15_40430,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_11_40388) ) ),
inference(monotonicity,[status(thm)],[67]) ).
tff(69,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_40430,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_13_40421) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_40430,c_tptpcol_13_40421)
| genls(c_tptpcol_15_40430,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_11_40388) ) ),
inference(transitivity,[status(thm)],[68,66]) ).
tff(70,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_40430,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_13_40421) ),
inference(quant_inst,[status(thm)],[]) ).
tff(71,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_40430,c_tptpcol_13_40421)
| genls(c_tptpcol_15_40430,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_11_40388) ),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
genls(c_tptpcol_15_40430,c_tptpcol_11_40388),
inference(unit_resolution,[status(thm)],[71,12,65,55]) ).
tff(73,plain,
( ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
<=> ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
inference(rewrite,[status(thm)],[]) ).
tff(74,plain,
( ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
=> genls(c_tptpcol_15_40430,c_tptpcol_7_39939) )
<=> ~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
| genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(75,axiom,
~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
=> genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query102) ).
tff(76,plain,
~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
| genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
inference(modus_ponens,[status(thm)],[75,74]) ).
tff(77,plain,
~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
inference(or_elim,[status(thm)],[76]) ).
tff(78,plain,
~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
inference(modus_ponens,[status(thm)],[77,73]) ).
tff(79,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_11_40388) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_11_40388) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(80,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_11_40388) ),
inference(quant_inst,[status(thm)],[]) ).
tff(81,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_15_40430,c_tptpcol_11_40388) ),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,plain,
$false,
inference(unit_resolution,[status(thm)],[81,12,78,72,45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR052+2 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 12:41:32 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.22/0.60 % SZS status Theorem
% 0.22/0.60 % SZS output start Proof
% See solution above
% 0.49/0.63 % E exiting
%------------------------------------------------------------------------------