%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR039+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:16:06 PM UTC 2026
% Result : Theorem 0.10s 0.47s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 31
% Syntax : Number of formulae : 119 ( 81 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 105 ( 61 ~; 36 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 30 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query39,conjecture,
( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
=> disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query39) ).
fof(just78,axiom,
! [X13,X9,X14] :
( ( genls(X14,X13)
& disjointwith(X13,X9) )
=> disjointwith(X14,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just78) ).
fof(just57,axiom,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).
fof(just55,axiom,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).
fof(just53,axiom,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
fof(just51,axiom,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).
fof(just49,axiom,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
fof(just47,axiom,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).
fof(just45,axiom,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
fof(just43,axiom,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).
fof(just41,axiom,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).
fof(just39,axiom,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).
fof(just37,axiom,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
fof(just35,axiom,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
fof(just33,axiom,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
fof(just77,axiom,
! [X7,X13,X14] :
( ( genls(X14,X13)
& disjointwith(X7,X13) )
=> disjointwith(X7,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just77) ).
fof(just29,axiom,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
fof(just27,axiom,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
fof(just25,axiom,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
fof(just23,axiom,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).
fof(just21,axiom,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).
fof(just19,axiom,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).
fof(just17,axiom,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).
fof(just7,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(just15,axiom,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).
fof(just31,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
fof(just9,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(just59,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).
fof(just13,axiom,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
fof(just76,axiom,
! [X10,X11] :
( disjointwith(X10,X11)
=> disjointwith(X11,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just76) ).
fof(just11,axiom,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(c_0_31,negated_conjecture,
~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
=> disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
inference(assume_negation,[status(cth)],[query39]) ).
fof(c_0_32,plain,
! [X82,X83,X84] :
( disjointwith(X84,X83)
| ~ genls(X84,X82)
| ~ disjointwith(X82,X83) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just78])])]) ).
fof(c_0_33,negated_conjecture,
( ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664)
& mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
cnf(c_0_34,plain,
( ~ genls(X3,X1)
| ~ disjointwith(X1,X2)
| disjointwith(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,plain,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
inference(split_conjunct,[status(thm)],[just57]) ).
cnf(c_0_36,negated_conjecture,
~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
( ~ disjointwith(c_tptpcol_14_93774,X1)
| disjointwith(c_tptpcol_15_93775,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
inference(split_conjunct,[status(thm)],[just55]) ).
cnf(c_0_39,negated_conjecture,
~ disjointwith(c_tptpcol_14_93774,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
( ~ disjointwith(c_tptpcol_13_93766,X1)
| disjointwith(c_tptpcol_14_93774,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_38]) ).
cnf(c_0_41,plain,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
inference(split_conjunct,[status(thm)],[just53]) ).
cnf(c_0_42,negated_conjecture,
~ disjointwith(c_tptpcol_13_93766,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
( ~ disjointwith(c_tptpcol_12_93765,X1)
| disjointwith(c_tptpcol_13_93766,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_41]) ).
cnf(c_0_44,plain,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
inference(split_conjunct,[status(thm)],[just51]) ).
cnf(c_0_45,negated_conjecture,
~ disjointwith(c_tptpcol_12_93765,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
( ~ disjointwith(c_tptpcol_11_93764,X1)
| disjointwith(c_tptpcol_12_93765,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
cnf(c_0_47,plain,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
inference(split_conjunct,[status(thm)],[just49]) ).
cnf(c_0_48,negated_conjecture,
~ disjointwith(c_tptpcol_11_93764,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,plain,
( ~ disjointwith(c_tptpcol_10_93700,X1)
| disjointwith(c_tptpcol_11_93764,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_47]) ).
cnf(c_0_50,plain,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
inference(split_conjunct,[status(thm)],[just47]) ).
cnf(c_0_51,negated_conjecture,
~ disjointwith(c_tptpcol_10_93700,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_52,plain,
( ~ disjointwith(c_tptpcol_9_93699,X1)
| disjointwith(c_tptpcol_10_93700,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_50]) ).
cnf(c_0_53,plain,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
inference(split_conjunct,[status(thm)],[just45]) ).
cnf(c_0_54,negated_conjecture,
~ disjointwith(c_tptpcol_9_93699,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
( ~ disjointwith(c_tptpcol_8_93698,X1)
| disjointwith(c_tptpcol_9_93699,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_53]) ).
cnf(c_0_56,plain,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
inference(split_conjunct,[status(thm)],[just43]) ).
cnf(c_0_57,negated_conjecture,
~ disjointwith(c_tptpcol_8_93698,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
( ~ disjointwith(c_tptpcol_7_93186,X1)
| disjointwith(c_tptpcol_8_93698,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_56]) ).
cnf(c_0_59,plain,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
inference(split_conjunct,[status(thm)],[just41]) ).
cnf(c_0_60,negated_conjecture,
~ disjointwith(c_tptpcol_7_93186,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
( ~ disjointwith(c_tptpcol_6_92162,X1)
| disjointwith(c_tptpcol_7_93186,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_59]) ).
cnf(c_0_62,plain,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
inference(split_conjunct,[status(thm)],[just39]) ).
cnf(c_0_63,negated_conjecture,
~ disjointwith(c_tptpcol_6_92162,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,plain,
( ~ disjointwith(c_tptpcol_5_90114,X1)
| disjointwith(c_tptpcol_6_92162,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_62]) ).
cnf(c_0_65,plain,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
inference(split_conjunct,[status(thm)],[just37]) ).
cnf(c_0_66,negated_conjecture,
~ disjointwith(c_tptpcol_5_90114,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,plain,
( ~ disjointwith(c_tptpcol_4_90113,X1)
| disjointwith(c_tptpcol_5_90114,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_65]) ).
cnf(c_0_68,plain,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
inference(split_conjunct,[status(thm)],[just35]) ).
cnf(c_0_69,negated_conjecture,
~ disjointwith(c_tptpcol_4_90113,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,plain,
( ~ disjointwith(c_tptpcol_3_81921,X1)
| disjointwith(c_tptpcol_4_90113,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_68]) ).
cnf(c_0_71,plain,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
inference(split_conjunct,[status(thm)],[just33]) ).
fof(c_0_72,plain,
! [X79,X80,X81] :
( disjointwith(X79,X81)
| ~ genls(X81,X80)
| ~ disjointwith(X79,X80) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just77])])]) ).
cnf(c_0_73,negated_conjecture,
~ disjointwith(c_tptpcol_3_81921,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_74,plain,
( ~ disjointwith(c_tptpcol_2_65537,X1)
| disjointwith(c_tptpcol_3_81921,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_71]) ).
cnf(c_0_75,plain,
( ~ genls(X3,X2)
| ~ disjointwith(X1,X2)
| disjointwith(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_76,plain,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
inference(split_conjunct,[status(thm)],[just29]) ).
cnf(c_0_77,negated_conjecture,
~ disjointwith(c_tptpcol_2_65537,c_tptpcol_13_18664),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
( ~ disjointwith(X1,c_tptpcol_12_18663)
| disjointwith(X1,c_tptpcol_13_18664) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_79,plain,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
inference(split_conjunct,[status(thm)],[just27]) ).
cnf(c_0_80,negated_conjecture,
~ disjointwith(c_tptpcol_2_65537,c_tptpcol_12_18663),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,plain,
( ~ disjointwith(X1,c_tptpcol_11_18631)
| disjointwith(X1,c_tptpcol_12_18663) ),
inference(spm,[status(thm)],[c_0_75,c_0_79]) ).
cnf(c_0_82,plain,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
inference(split_conjunct,[status(thm)],[just25]) ).
cnf(c_0_83,negated_conjecture,
~ disjointwith(c_tptpcol_2_65537,c_tptpcol_11_18631),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_84,plain,
( ~ disjointwith(X1,c_tptpcol_10_18567)
| disjointwith(X1,c_tptpcol_11_18631) ),
inference(spm,[status(thm)],[c_0_75,c_0_82]) ).
cnf(c_0_85,plain,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
inference(split_conjunct,[status(thm)],[just23]) ).
cnf(c_0_86,negated_conjecture,
~ disjointwith(c_tptpcol_2_65537,c_tptpcol_10_18567),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_87,plain,
( ~ disjointwith(X1,c_tptpcol_9_18439)
| disjointwith(X1,c_tptpcol_10_18567) ),
inference(spm,[status(thm)],[c_0_75,c_0_85]) ).
cnf(c_0_88,plain,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
inference(split_conjunct,[status(thm)],[just21]) ).
cnf(c_0_89,negated_conjecture,
~ disjointwith(c_tptpcol_2_65537,c_tptpcol_9_18439),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,plain,
( ~ disjointwith(X1,c_tptpcol_8_18438)
| disjointwith(X1,c_tptpcol_9_18439) ),
inference(spm,[status(thm)],[c_0_75,c_0_88]) ).
cnf(c_0_91,plain,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
inference(split_conjunct,[status(thm)],[just19]) ).
cnf(c_0_92,negated_conjecture,
~ disjointwith(c_tptpcol_2_65537,c_tptpcol_8_18438),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_93,plain,
( ~ disjointwith(X1,c_tptpcol_7_18437)
| disjointwith(X1,c_tptpcol_8_18438) ),
inference(spm,[status(thm)],[c_0_75,c_0_91]) ).
cnf(c_0_94,plain,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
inference(split_conjunct,[status(thm)],[just17]) ).
cnf(c_0_95,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(split_conjunct,[status(thm)],[just7]) ).
cnf(c_0_96,negated_conjecture,
~ disjointwith(c_tptpcol_2_65537,c_tptpcol_7_18437),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,plain,
( ~ disjointwith(X1,c_tptpcol_6_18436)
| disjointwith(X1,c_tptpcol_7_18437) ),
inference(spm,[status(thm)],[c_0_75,c_0_94]) ).
cnf(c_0_98,plain,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
inference(split_conjunct,[status(thm)],[just15]) ).
cnf(c_0_99,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(split_conjunct,[status(thm)],[just31]) ).
cnf(c_0_100,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(split_conjunct,[status(thm)],[just9]) ).
cnf(c_0_101,plain,
( ~ disjointwith(c_tptpcol_1_1,X1)
| disjointwith(c_tptpcol_2_2,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_95]) ).
cnf(c_0_102,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(split_conjunct,[status(thm)],[just59]) ).
cnf(c_0_103,negated_conjecture,
~ disjointwith(c_tptpcol_2_65537,c_tptpcol_6_18436),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_104,plain,
( ~ disjointwith(X1,c_tptpcol_5_16388)
| disjointwith(X1,c_tptpcol_6_18436) ),
inference(spm,[status(thm)],[c_0_75,c_0_98]) ).
cnf(c_0_105,plain,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
inference(split_conjunct,[status(thm)],[just13]) ).
fof(c_0_106,plain,
! [X77,X78] :
( disjointwith(X78,X77)
| ~ disjointwith(X77,X78) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just76])])]) ).
cnf(c_0_107,plain,
( ~ disjointwith(X1,c_tptpcol_1_65536)
| disjointwith(X1,c_tptpcol_2_65537) ),
inference(spm,[status(thm)],[c_0_75,c_0_99]) ).
cnf(c_0_108,plain,
( ~ disjointwith(c_tptpcol_2_2,X1)
| disjointwith(c_tptpcol_3_16386,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_100]) ).
cnf(c_0_109,plain,
disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_110,negated_conjecture,
~ disjointwith(c_tptpcol_2_65537,c_tptpcol_5_16388),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,plain,
( ~ disjointwith(X1,c_tptpcol_4_16387)
| disjointwith(X1,c_tptpcol_5_16388) ),
inference(spm,[status(thm)],[c_0_75,c_0_105]) ).
cnf(c_0_112,plain,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
inference(split_conjunct,[status(thm)],[just11]) ).
cnf(c_0_113,plain,
( ~ disjointwith(X1,X2)
| disjointwith(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_114,plain,
disjointwith(c_tptpcol_3_16386,c_tptpcol_2_65537),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109])]) ).
cnf(c_0_115,negated_conjecture,
~ disjointwith(c_tptpcol_2_65537,c_tptpcol_4_16387),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_116,plain,
( ~ disjointwith(X1,c_tptpcol_3_16386)
| disjointwith(X1,c_tptpcol_4_16387) ),
inference(spm,[status(thm)],[c_0_75,c_0_112]) ).
cnf(c_0_117,plain,
disjointwith(c_tptpcol_2_65537,c_tptpcol_3_16386),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR039+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:30:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.47 % Version: 3.5.1
% 0.10/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.47 % Starting sh5l with 300s (1) cores
% 0.10/0.47 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2008601 completed with status 0
% 0.10/0.47 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.10/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.47 % No SInE strategy applied
% 0.10/0.47 % Search class: FHHNM-FFMM21-MFFFFFNN
% 0.10/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.10/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.10/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.10/0.47 % Starting new_bool_1 with 136s (1) cores
% 0.10/0.47 % SubtermCWHack with pid 2008608 completed with status 0
% 0.10/0.47 % Result found by SubtermCWHack
% 0.10/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.47 % No SInE strategy applied
% 0.10/0.47 % Search class: FHHNM-FFMM21-MFFFFFNN
% 0.10/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.47 % Preprocessing time : 0.002 s
% 0.10/0.47
% 0.10/0.47 % Proof found!
% 0.10/0.47 % SZS status Theorem
% 0.10/0.47 % SZS output start CNFRefutation
% See solution above
% 0.10/0.47 % Parsed axioms : 171
% 0.10/0.47 % Removed by relevancy pruning/SinE : 0
% 0.10/0.47 % Initial clauses : 172
% 0.10/0.47 % Removed in clause preprocessing : 0
% 0.10/0.47 % Initial clauses in saturation : 172
% 0.10/0.47 % Processed clauses : 965
% 0.10/0.47 % ...of these trivial : 2
% 0.10/0.47 % ...subsumed : 181
% 0.10/0.47 % ...remaining for further processing : 782
% 0.10/0.47 % Other redundant clauses eliminated : 0
% 0.10/0.47 % Clauses deleted for lack of memory : 0
% 0.10/0.47 % Backward-subsumed : 0
% 0.10/0.47 % Backward-rewritten : 2
% 0.10/0.47 % Generated clauses : 1754
% 0.10/0.47 % ...of the previous two non-redundant : 1372
% 0.10/0.47 % ...aggressively subsumed : 0
% 0.10/0.47 % Contextual simplify-reflections : 0
% 0.10/0.47 % Paramodulations : 1754
% 0.10/0.47 % Factorizations : 0
% 0.10/0.47 % NegExts : 0
% 0.10/0.47 % Equation resolutions : 0
% 0.10/0.47 % Disequality decompositions : 0
% 0.10/0.47 % Total rewrite steps : 244
% 0.10/0.47 % ...of those cached : 186
% 0.10/0.47 % Propositional unsat checks : 0
% 0.10/0.47 % Propositional check models : 0
% 0.10/0.47 % Propositional check unsatisfiable : 0
% 0.10/0.47 % Propositional clauses : 0
% 0.10/0.47 % Propositional clauses after purity: 0
% 0.10/0.47 % Propositional unsat core size : 0
% 0.10/0.47 % Propositional preprocessing time : 0.000
% 0.10/0.47 % Propositional encoding time : 0.000
% 0.10/0.47 % Propositional solver time : 0.000
% 0.10/0.47 % Success case prop preproc time : 0.000
% 0.10/0.47 % Success case prop encoding time : 0.000
% 0.10/0.47 % Success case prop solver time : 0.000
% 0.10/0.47 % Current number of processed clauses : 780
% 0.10/0.47 % Positive orientable unit clauses : 134
% 0.10/0.47 % Positive unorientable unit clauses: 0
% 0.10/0.47 % Negative unit clauses : 149
% 0.10/0.47 % Non-unit-clauses : 497
% 0.10/0.47 % Current number of unprocessed clauses: 579
% 0.10/0.47 % ...number of literals in the above : 1229
% 0.10/0.47 % Current number of archived formulas : 0
% 0.10/0.47 % Current number of archived clauses : 2
% 0.10/0.47 % Clause-clause subsumption calls (NU) : 44525
% 0.10/0.47 % Rec. Clause-clause subsumption calls : 44023
% 0.10/0.47 % Non-unit clause-clause subsumptions : 77
% 0.10/0.47 % Unit Clause-clause subsumption calls : 11079
% 0.10/0.47 % Rewrite failures with RHS unbound : 0
% 0.10/0.47 % BW rewrite match attempts : 2
% 0.10/0.47 % BW rewrite match successes : 2
% 0.10/0.47 % Condensation attempts : 0
% 0.10/0.47 % Condensation successes : 0
% 0.10/0.47 % Termbank termtop insertions : 21878
% 0.10/0.47 % Search garbage collected termcells : 1273
% 0.10/0.47
% 0.10/0.47 % -------------------------------------------------
% 0.10/0.47 % User time : 0.036 s
% 0.10/0.47 % System time : 0.004 s
% 0.10/0.47 % Total time : 0.040 s
% 0.10/0.47 % Maximum resident set size: 4032 pages
% 0.10/0.47
% 0.10/0.47 % -------------------------------------------------
% 0.10/0.47 % User time : 0.136 s
% 0.10/0.47 % System time : 0.020 s
% 0.10/0.47 % Total time : 0.156 s
% 0.10/0.47 % Maximum resident set size: 4864 pages
% 0.10/0.47 % E exiting
%------------------------------------------------------------------------------