%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR036+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 : Fri Sep 25 01:05:20 PM UTC 2026
% Result : Theorem 140.56s 18.22s
% Output : Proof 140.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 43
% Syntax : Number of formulae : 211 ( 171 unt; 0 def)
% Number of atoms : 267 ( 67 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 137 ( 81 ~; 39 |; 12 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 34 con; 0-4 aty)
% Number of variables : 89 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1112,axiom,
! [ARG1,OLD,NEW] :
( ( genls(OLD,NEW)
& genls(ARG1,OLD) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1113) ).
fof(f1112_nnf,plain,
! [ARG1,OLD,NEW] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(nnf_transformation,[status(thm)],[f1112]) ).
fof(f1112_sk,plain,
! [ARG1,OLD,NEW] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(skolemisation,[status(esa)],[f1112_nnf]) ).
cnf(c1112,plain,
( genls(X0,X2)
| ~ genls(X1,X2)
| ~ genls(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1112_sk]) ).
cnf(hi1103,axiom,
ifeq(genls(X0,X1),true,ifeq(genls(X1,X2),true,genls(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c1112]) ).
fof(f435,axiom,
genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_436) ).
fof(f435_nnf,plain,
genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
inference(nnf_transformation,[status(thm)],[f435]) ).
cnf(c435,plain,
genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
inference(cnf_transformation,[status(esa)],[f435_nnf]) ).
cnf(hi430,axiom,
genls(c_tptpcol_4_65539,c_tptpcol_3_65538) = true,
inference(equality_encoding,[status(esa)],[c435]) ).
fof(f310,axiom,
genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_311) ).
fof(f310_nnf,plain,
genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
inference(nnf_transformation,[status(thm)],[f310]) ).
cnf(c310,plain,
genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
inference(cnf_transformation,[status(esa)],[f310_nnf]) ).
cnf(hi306,axiom,
genls(c_tptpcol_3_65538,c_tptpcol_2_65537) = true,
inference(equality_encoding,[status(esa)],[c310]) ).
cnf(h2038,plain,
genls(c_tptpcol_4_65539,c_tptpcol_2_65537) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi430,hi306]) ).
fof(f404,axiom,
genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_405) ).
fof(f404_nnf,plain,
genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
inference(nnf_transformation,[status(thm)],[f404]) ).
cnf(c404,plain,
genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
inference(cnf_transformation,[status(esa)],[f404_nnf]) ).
cnf(hi399,axiom,
genls(c_tptpcol_6_71683,c_tptpcol_5_69635) = true,
inference(equality_encoding,[status(esa)],[c404]) ).
fof(f223,axiom,
genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_224) ).
fof(f223_nnf,plain,
genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
inference(nnf_transformation,[status(thm)],[f223]) ).
cnf(c223,plain,
genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
inference(cnf_transformation,[status(esa)],[f223_nnf]) ).
cnf(hi220,axiom,
genls(c_tptpcol_5_69635,c_tptpcol_4_65539) = true,
inference(equality_encoding,[status(esa)],[c223]) ).
cnf(h1934,plain,
genls(c_tptpcol_6_71683,c_tptpcol_4_65539) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi399,hi220]) ).
cnf(h4665,plain,
genls(c_tptpcol_6_71683,c_tptpcol_2_65537) = true,
inference(hyper_resolution,[status(thm)],[hi1103,h1934,h2038]) ).
fof(f73,axiom,
genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_74) ).
fof(f73_nnf,plain,
genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
inference(nnf_transformation,[status(thm)],[f73]) ).
cnf(c73,plain,
genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
inference(cnf_transformation,[status(esa)],[f73_nnf]) ).
cnf(hi72,axiom,
genls(c_tptpcol_8_72708,c_tptpcol_7_72707) = true,
inference(equality_encoding,[status(esa)],[c73]) ).
fof(f396,axiom,
genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_397) ).
fof(f396_nnf,plain,
genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
inference(nnf_transformation,[status(thm)],[f396]) ).
cnf(c396,plain,
genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
inference(cnf_transformation,[status(esa)],[f396_nnf]) ).
cnf(hi391,axiom,
genls(c_tptpcol_7_72707,c_tptpcol_6_71683) = true,
inference(equality_encoding,[status(esa)],[c396]) ).
cnf(h1911,plain,
genls(c_tptpcol_8_72708,c_tptpcol_6_71683) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi72,hi391]) ).
fof(f5,axiom,
genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_6) ).
fof(f5_nnf,plain,
genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(hi4,axiom,
genls(c_tptpcol_10_72710,c_tptpcol_9_72709) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
fof(f198,axiom,
genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_199) ).
fof(f198_nnf,plain,
genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
inference(nnf_transformation,[status(thm)],[f198]) ).
cnf(c198,plain,
genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
inference(cnf_transformation,[status(esa)],[f198_nnf]) ).
cnf(hi195,axiom,
genls(c_tptpcol_9_72709,c_tptpcol_8_72708) = true,
inference(equality_encoding,[status(esa)],[c198]) ).
cnf(h1169,plain,
genls(c_tptpcol_10_72710,c_tptpcol_8_72708) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi4,hi195]) ).
cnf(h4492,plain,
genls(c_tptpcol_10_72710,c_tptpcol_6_71683) = true,
inference(hyper_resolution,[status(thm)],[hi1103,h1169,h1911]) ).
cnf(h6170,plain,
genls(c_tptpcol_10_72710,c_tptpcol_2_65537) = true,
inference(hyper_resolution,[status(thm)],[hi1103,h4492,h4665]) ).
fof(f394,axiom,
genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_395) ).
fof(f394_nnf,plain,
genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
inference(nnf_transformation,[status(thm)],[f394]) ).
cnf(c394,plain,
genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
inference(cnf_transformation,[status(esa)],[f394_nnf]) ).
cnf(hi389,axiom,
genls(c_tptpcol_12_72775,c_tptpcol_11_72774) = true,
inference(equality_encoding,[status(esa)],[c394]) ).
fof(f448,axiom,
genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_449) ).
fof(f448_nnf,plain,
genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
inference(nnf_transformation,[status(thm)],[f448]) ).
cnf(c448,plain,
genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
inference(cnf_transformation,[status(esa)],[f448_nnf]) ).
cnf(hi443,axiom,
genls(c_tptpcol_11_72774,c_tptpcol_10_72710) = true,
inference(equality_encoding,[status(esa)],[c448]) ).
cnf(h2096,plain,
genls(c_tptpcol_12_72775,c_tptpcol_10_72710) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi389,hi443]) ).
fof(f490,axiom,
genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_491) ).
fof(f490_nnf,plain,
genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
inference(nnf_transformation,[status(thm)],[f490]) ).
cnf(c490,plain,
genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
inference(cnf_transformation,[status(esa)],[f490_nnf]) ).
cnf(hi484,axiom,
genls(c_tptpcol_13_72791,c_tptpcol_12_72775) = true,
inference(equality_encoding,[status(esa)],[c490]) ).
cnf(h4734,plain,
genls(c_tptpcol_13_72791,c_tptpcol_10_72710) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi484,h2096]) ).
fof(f279,axiom,
genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_280) ).
fof(f279_nnf,plain,
genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
inference(nnf_transformation,[status(thm)],[f279]) ).
cnf(c279,plain,
genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
inference(cnf_transformation,[status(esa)],[f279_nnf]) ).
cnf(hi276,axiom,
genls(c_tptpcol_15_72793,c_tptpcol_14_72792) = true,
inference(equality_encoding,[status(esa)],[c279]) ).
fof(f25,axiom,
genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_26) ).
fof(f25_nnf,plain,
genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
inference(nnf_transformation,[status(thm)],[f25]) ).
cnf(c25,plain,
genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
inference(cnf_transformation,[status(esa)],[f25_nnf]) ).
cnf(hi24,axiom,
genls(c_tptpcol_14_72792,c_tptpcol_13_72791) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(h1538,plain,
genls(c_tptpcol_15_72793,c_tptpcol_13_72791) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi276,hi24]) ).
fof(f402,axiom,
genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_403) ).
fof(f402_nnf,plain,
genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
inference(nnf_transformation,[status(thm)],[f402]) ).
cnf(c402,plain,
genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
inference(cnf_transformation,[status(esa)],[f402_nnf]) ).
cnf(hi397,axiom,
genls(c_tptpcol_16_72795,c_tptpcol_15_72793) = true,
inference(equality_encoding,[status(esa)],[c402]) ).
cnf(h3899,plain,
genls(c_tptpcol_16_72795,c_tptpcol_13_72791) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi397,h1538]) ).
cnf(h6265,plain,
genls(c_tptpcol_16_72795,c_tptpcol_10_72710) = true,
inference(hyper_resolution,[status(thm)],[hi1103,h3899,h4734]) ).
cnf(h10262,plain,
genls(c_tptpcol_16_72795,c_tptpcol_2_65537) = true,
inference(hyper_resolution,[status(thm)],[hi1103,h6265,h6170]) ).
fof(f20,axiom,
genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_21) ).
fof(f20_nnf,plain,
genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c20,plain,
genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(hi19,axiom,
genls(c_tptpcol_9_22021,c_tptpcol_8_22020) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
fof(f304,axiom,
genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_305) ).
fof(f304_nnf,plain,
genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
inference(nnf_transformation,[status(thm)],[f304]) ).
cnf(c304,plain,
genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
inference(cnf_transformation,[status(esa)],[f304_nnf]) ).
cnf(hi300,axiom,
genls(c_tptpcol_8_22020,c_tptpcol_7_21508) = true,
inference(equality_encoding,[status(esa)],[c304]) ).
cnf(h1574,plain,
genls(c_tptpcol_9_22021,c_tptpcol_7_21508) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi19,hi300]) ).
fof(f29,axiom,
genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_30) ).
fof(f29_nnf,plain,
genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
inference(nnf_transformation,[status(thm)],[f29]) ).
cnf(c29,plain,
genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
inference(cnf_transformation,[status(esa)],[f29_nnf]) ).
cnf(hi28,axiom,
genls(c_tptpcol_11_22023,c_tptpcol_10_22022) = true,
inference(equality_encoding,[status(esa)],[c29]) ).
fof(f192,axiom,
genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_193) ).
fof(f192_nnf,plain,
genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
inference(nnf_transformation,[status(thm)],[f192]) ).
cnf(c192,plain,
genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
inference(cnf_transformation,[status(esa)],[f192_nnf]) ).
cnf(hi189,axiom,
genls(c_tptpcol_10_22022,c_tptpcol_9_22021) = true,
inference(equality_encoding,[status(esa)],[c192]) ).
cnf(h1142,plain,
genls(c_tptpcol_11_22023,c_tptpcol_9_22021) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi28,hi189]) ).
cnf(h3993,plain,
genls(c_tptpcol_11_22023,c_tptpcol_7_21508) = true,
inference(hyper_resolution,[status(thm)],[hi1103,h1142,h1574]) ).
fof(f229,axiom,
genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_230) ).
fof(f229_nnf,plain,
genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
inference(nnf_transformation,[status(thm)],[f229]) ).
cnf(c229,plain,
genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
inference(cnf_transformation,[status(esa)],[f229_nnf]) ).
cnf(hi226,axiom,
genls(c_tptpcol_13_22071,c_tptpcol_12_22055) = true,
inference(equality_encoding,[status(esa)],[c229]) ).
fof(f167,axiom,
genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_168) ).
fof(f167_nnf,plain,
genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
inference(nnf_transformation,[status(thm)],[f167]) ).
cnf(c167,plain,
genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
inference(cnf_transformation,[status(esa)],[f167_nnf]) ).
cnf(hi164,axiom,
genls(c_tptpcol_12_22055,c_tptpcol_11_22023) = true,
inference(equality_encoding,[status(esa)],[c167]) ).
cnf(h1257,plain,
genls(c_tptpcol_13_22071,c_tptpcol_11_22023) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi226,hi164]) ).
fof(f441,axiom,
genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_442) ).
fof(f441_nnf,plain,
genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
inference(nnf_transformation,[status(thm)],[f441]) ).
cnf(c441,plain,
genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
inference(cnf_transformation,[status(esa)],[f441_nnf]) ).
cnf(hi436,axiom,
genls(c_tptpcol_15_22076,c_tptpcol_14_22072) = true,
inference(equality_encoding,[status(esa)],[c441]) ).
fof(f188,axiom,
genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_189) ).
fof(f188_nnf,plain,
genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
inference(nnf_transformation,[status(thm)],[f188]) ).
cnf(c188,plain,
genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
inference(cnf_transformation,[status(esa)],[f188_nnf]) ).
cnf(hi185,axiom,
genls(c_tptpcol_14_22072,c_tptpcol_13_22071) = true,
inference(equality_encoding,[status(esa)],[c188]) ).
cnf(h2047,plain,
genls(c_tptpcol_15_22076,c_tptpcol_13_22071) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi436,hi185]) ).
cnf(h4694,plain,
genls(c_tptpcol_15_22076,c_tptpcol_11_22023) = true,
inference(hyper_resolution,[status(thm)],[hi1103,h2047,h1257]) ).
cnf(h6187,plain,
genls(c_tptpcol_15_22076,c_tptpcol_7_21508) = true,
inference(hyper_resolution,[status(thm)],[hi1103,h4694,h3993]) ).
fof(f27,axiom,
genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_28) ).
fof(f27_nnf,plain,
genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c27,plain,
genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
cnf(hi26,axiom,
genls(c_tptpcol_5_20483,c_tptpcol_4_16387) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
fof(f284,axiom,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_285) ).
fof(f284_nnf,plain,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
inference(nnf_transformation,[status(thm)],[f284]) ).
cnf(c284,plain,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
inference(cnf_transformation,[status(esa)],[f284_nnf]) ).
cnf(hi281,axiom,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386) = true,
inference(equality_encoding,[status(esa)],[c284]) ).
cnf(h1550,plain,
genls(c_tptpcol_5_20483,c_tptpcol_3_16386) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi26,hi281]) ).
fof(f455,axiom,
genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_456) ).
fof(f455_nnf,plain,
genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
inference(nnf_transformation,[status(thm)],[f455]) ).
cnf(c455,plain,
genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
inference(cnf_transformation,[status(esa)],[f455_nnf]) ).
cnf(hi450,axiom,
genls(c_tptpcol_7_21508,c_tptpcol_6_20484) = true,
inference(equality_encoding,[status(esa)],[c455]) ).
fof(f334,axiom,
genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_335) ).
fof(f334_nnf,plain,
genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
inference(nnf_transformation,[status(thm)],[f334]) ).
cnf(c334,plain,
genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
inference(cnf_transformation,[status(esa)],[f334_nnf]) ).
cnf(hi330,axiom,
genls(c_tptpcol_6_20484,c_tptpcol_5_20483) = true,
inference(equality_encoding,[status(esa)],[c334]) ).
cnf(h2129,plain,
genls(c_tptpcol_7_21508,c_tptpcol_5_20483) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi450,hi330]) ).
cnf(h4775,plain,
genls(c_tptpcol_7_21508,c_tptpcol_3_16386) = true,
inference(hyper_resolution,[status(thm)],[hi1103,h2129,h1550]) ).
fof(f384,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_385) ).
fof(f384_nnf,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(nnf_transformation,[status(thm)],[f384]) ).
cnf(c384,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(cnf_transformation,[status(esa)],[f384_nnf]) ).
cnf(hi379,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2) = true,
inference(equality_encoding,[status(esa)],[c384]) ).
fof(f144,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_145) ).
fof(f144_nnf,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(nnf_transformation,[status(thm)],[f144]) ).
cnf(c144,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(cnf_transformation,[status(esa)],[f144_nnf]) ).
cnf(hi143,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1) = true,
inference(equality_encoding,[status(esa)],[c144]) ).
cnf(h1891,plain,
genls(c_tptpcol_3_16386,c_tptpcol_1_1) = true,
inference(hyper_resolution,[status(thm)],[hi1103,hi379,hi143]) ).
fof(f1120,axiom,
! [ARG1,OLD,NEW] :
( ( genls(NEW,OLD)
& disjointwith(ARG1,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1121) ).
fof(f1120_nnf,plain,
! [ARG1,OLD,NEW] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ),
inference(nnf_transformation,[status(thm)],[f1120]) ).
fof(f1120_sk,plain,
! [ARG1,OLD,NEW] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ),
inference(skolemisation,[status(esa)],[f1120_nnf]) ).
cnf(c1120,plain,
( disjointwith(X0,X2)
| ~ genls(X2,X1)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1120_sk]) ).
cnf(hi1111,axiom,
ifeq(disjointwith(X0,X1),true,ifeq(genls(X2,X1),true,disjointwith(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c1120]) ).
fof(f151,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_152) ).
fof(f151_nnf,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(nnf_transformation,[status(thm)],[f151]) ).
cnf(c151,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(cnf_transformation,[status(esa)],[f151_nnf]) ).
cnf(hi150,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536) = true,
inference(equality_encoding,[status(esa)],[c151]) ).
fof(f347,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_348) ).
fof(f347_nnf,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(nnf_transformation,[status(thm)],[f347]) ).
cnf(c347,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(cnf_transformation,[status(esa)],[f347_nnf]) ).
cnf(hi343,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536) = true,
inference(equality_encoding,[status(esa)],[c347]) ).
cnf(h1766,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_2_65537) = true,
inference(hyper_resolution,[status(thm)],[hi1111,hi150,hi343]) ).
fof(f1121,axiom,
! [OLD,ARG2,NEW] :
( ( genls(NEW,OLD)
& disjointwith(OLD,ARG2) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1122) ).
fof(f1121_nnf,plain,
! [OLD,ARG2,NEW] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(nnf_transformation,[status(thm)],[f1121]) ).
fof(f1121_sk,plain,
! [OLD,ARG2,NEW] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(skolemisation,[status(esa)],[f1121_nnf]) ).
cnf(c1121,plain,
( disjointwith(X2,X1)
| ~ genls(X2,X0)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1121_sk]) ).
cnf(hi1112,axiom,
ifeq(disjointwith(X0,X1),true,ifeq(genls(X2,X0),true,disjointwith(X2,X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c1121]) ).
cnf(h4426,plain,
disjointwith(c_tptpcol_3_16386,c_tptpcol_2_65537) = true,
inference(hyper_resolution,[status(thm)],[hi1112,h1766,h1891]) ).
cnf(h6332,plain,
disjointwith(c_tptpcol_7_21508,c_tptpcol_2_65537) = true,
inference(hyper_resolution,[status(thm)],[hi1112,h4426,h4775]) ).
cnf(h10457,plain,
disjointwith(c_tptpcol_15_22076,c_tptpcol_2_65537) = true,
inference(hyper_resolution,[status(thm)],[hi1112,h6332,h6187]) ).
cnf(h19018,plain,
disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) = true,
inference(hyper_resolution,[status(thm)],[hi1111,h10457,h10262]) ).
fof(f1131,conjecture,
( mtvisible(c_tptp_member974_mt)
=> disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query86) ).
fof(f1131_neg,negated_conjecture,
~ ( mtvisible(c_tptp_member974_mt)
=> disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
inference(negated_conjecture,[status(cth)],[f1131]) ).
fof(f1131_nnf,plain,
( ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795)
& mtvisible(c_tptp_member974_mt) ),
inference(nnf_transformation,[status(thm)],[f1131_neg]) ).
fof(f1131_sk,plain,
( ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795)
& mtvisible(c_tptp_member974_mt) ),
inference(skolemisation,[status(esa)],[f1131_nnf]) ).
cnf(c1132,plain,
~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795),
inference(cnf_transformation,[status(esa)],[f1131_sk]) ).
cnf(hi1132,negated_conjecture,
ifeq(disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c1132]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi1132,h19018]) ).
cnf(t1028,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f2,axiom,
! [OBJ] :
~ ( partiallytangible(OBJ)
& intangible(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_3) ).
fof(f2_nnf,plain,
! [OBJ] :
( ~ partiallytangible(OBJ)
| ~ intangible(OBJ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [OBJ] :
( ~ partiallytangible(OBJ)
| ~ intangible(OBJ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ partiallytangible(X0)
| ~ intangible(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f152,axiom,
! [OBJ] :
~ ( tptpcol_1_65536(OBJ)
& tptpcol_1_1(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_153) ).
fof(f152_nnf,plain,
! [OBJ] :
( ~ tptpcol_1_65536(OBJ)
| ~ tptpcol_1_1(OBJ) ),
inference(nnf_transformation,[status(thm)],[f152]) ).
fof(f152_sk,plain,
! [OBJ] :
( ~ tptpcol_1_65536(OBJ)
| ~ tptpcol_1_1(OBJ) ),
inference(skolemisation,[status(esa)],[f152_nnf]) ).
cnf(c152,plain,
( ~ tptpcol_1_65536(X0)
| ~ tptpcol_1_1(X0) ),
inference(cnf_transformation,[status(esa)],[f152_sk]) ).
fof(f166,axiom,
! [OBJ] :
~ ( setorcollection(OBJ)
& individual(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_167) ).
fof(f166_nnf,plain,
! [OBJ] :
( ~ setorcollection(OBJ)
| ~ individual(OBJ) ),
inference(nnf_transformation,[status(thm)],[f166]) ).
fof(f166_sk,plain,
! [OBJ] :
( ~ setorcollection(OBJ)
| ~ individual(OBJ) ),
inference(skolemisation,[status(esa)],[f166_nnf]) ).
cnf(c166,plain,
( ~ setorcollection(X0)
| ~ individual(X0) ),
inference(cnf_transformation,[status(esa)],[f166_sk]) ).
fof(f288,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_289) ).
fof(f288_nnf,plain,
! [OBJ] :
( ~ individual(OBJ)
| ~ collection(OBJ) ),
inference(nnf_transformation,[status(thm)],[f288]) ).
fof(f288_sk,plain,
! [OBJ] :
( ~ individual(OBJ)
| ~ collection(OBJ) ),
inference(skolemisation,[status(esa)],[f288_nnf]) ).
cnf(c288,plain,
( ~ individual(X0)
| ~ collection(X0) ),
inference(cnf_transformation,[status(esa)],[f288_sk]) ).
fof(f362,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_363) ).
fof(f362_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f362]) ).
fof(f362_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f362_nnf]) ).
cnf(c362,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f362_sk]) ).
fof(f487,axiom,
! [OBJ] :
~ ( tptpcol_3_114688(OBJ)
& tptpcol_3_98305(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_488) ).
fof(f487_nnf,plain,
! [OBJ] :
( ~ tptpcol_3_114688(OBJ)
| ~ tptpcol_3_98305(OBJ) ),
inference(nnf_transformation,[status(thm)],[f487]) ).
fof(f487_sk,plain,
! [OBJ] :
( ~ tptpcol_3_114688(OBJ)
| ~ tptpcol_3_98305(OBJ) ),
inference(skolemisation,[status(esa)],[f487_nnf]) ).
cnf(c487,plain,
( ~ tptpcol_3_114688(X0)
| ~ tptpcol_3_98305(X0) ),
inference(cnf_transformation,[status(esa)],[f487_sk]) ).
fof(f520,axiom,
! [X] : ~ affiliatedwith(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_521) ).
fof(f520_nnf,plain,
! [X] : ~ affiliatedwith(X,X),
inference(nnf_transformation,[status(thm)],[f520]) ).
fof(f520_sk,plain,
! [X] : ~ affiliatedwith(X,X),
inference(skolemisation,[status(esa)],[f520_nnf]) ).
cnf(c520,plain,
~ affiliatedwith(X0,X0),
inference(cnf_transformation,[status(esa)],[f520_sk]) ).
fof(f697,axiom,
! [X] : ~ objectfoundinlocation(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_698) ).
fof(f697_nnf,plain,
! [X] : ~ objectfoundinlocation(X,X),
inference(nnf_transformation,[status(thm)],[f697]) ).
fof(f697_sk,plain,
! [X] : ~ objectfoundinlocation(X,X),
inference(skolemisation,[status(esa)],[f697_nnf]) ).
cnf(c697,plain,
~ objectfoundinlocation(X0,X0),
inference(cnf_transformation,[status(esa)],[f697_sk]) ).
fof(f900,axiom,
! [X] : ~ borderson(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_901) ).
fof(f900_nnf,plain,
! [X] : ~ borderson(X,X),
inference(nnf_transformation,[status(thm)],[f900]) ).
fof(f900_sk,plain,
! [X] : ~ borderson(X,X),
inference(skolemisation,[status(esa)],[f900_nnf]) ).
cnf(c900,plain,
~ borderson(X0,X0),
inference(cnf_transformation,[status(esa)],[f900_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c152,c166,c288,c362,c487,c520,c697,c900,c1132]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1028]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR036+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 08:20:43 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 140.56/18.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 140.56/18.22 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------