%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR039+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 01:05:22 PM UTC 2026
% Result : Theorem 6.08s 1.39s
% Output : Proof 6.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 34
% Syntax : Number of formulae : 174 ( 146 unt; 0 def)
% Number of atoms : 218 ( 63 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 88 ( 44 ~; 30 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 32 con; 0-4 aty)
% Number of variables : 71 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,axiom,
! [ARG1,OLD,NEW] :
( ( genls(OLD,NEW)
& genls(ARG1,OLD) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just143) ).
fof(f142_nnf,plain,
! [ARG1,OLD,NEW] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(nnf_transformation,[status(thm)],[f142]) ).
fof(f142_sk,plain,
! [ARG1,OLD,NEW] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(skolemisation,[status(esa)],[f142_nnf]) ).
cnf(c142,plain,
( genls(X0,X2)
| ~ genls(X1,X2)
| ~ genls(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f142_sk]) ).
cnf(hi140,axiom,
ifeq(genls(X0,X1),true,ifeq(genls(X1,X2),true,genls(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c142]) ).
fof(f32,axiom,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).
fof(f32_nnf,plain,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
inference(nnf_transformation,[status(thm)],[f32]) ).
cnf(c32,plain,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
inference(cnf_transformation,[status(esa)],[f32_nnf]) ).
cnf(hi32,axiom,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537) = true,
inference(equality_encoding,[status(esa)],[c32]) ).
fof(f30,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
fof(f30_nnf,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(nnf_transformation,[status(thm)],[f30]) ).
cnf(c30,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(cnf_transformation,[status(esa)],[f30_nnf]) ).
cnf(hi30,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(h41,plain,
genls(c_tptpcol_3_81921,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi32,hi30]) ).
fof(f36,axiom,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).
fof(f36_nnf,plain,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
inference(nnf_transformation,[status(thm)],[f36]) ).
cnf(c36,plain,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
inference(cnf_transformation,[status(esa)],[f36_nnf]) ).
cnf(hi36,axiom,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113) = true,
inference(equality_encoding,[status(esa)],[c36]) ).
fof(f34,axiom,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).
fof(f34_nnf,plain,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
inference(nnf_transformation,[status(thm)],[f34]) ).
cnf(c34,plain,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
inference(cnf_transformation,[status(esa)],[f34_nnf]) ).
cnf(hi34,axiom,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921) = true,
inference(equality_encoding,[status(esa)],[c34]) ).
cnf(h45,plain,
genls(c_tptpcol_5_90114,c_tptpcol_3_81921) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi36,hi34]) ).
cnf(h123,plain,
genls(c_tptpcol_5_90114,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi140,h45,h41]) ).
fof(f40,axiom,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).
fof(f40_nnf,plain,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
inference(nnf_transformation,[status(thm)],[f40]) ).
cnf(c40,plain,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
inference(cnf_transformation,[status(esa)],[f40_nnf]) ).
cnf(hi40,axiom,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
fof(f38,axiom,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just39) ).
fof(f38_nnf,plain,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
inference(nnf_transformation,[status(thm)],[f38]) ).
cnf(c38,plain,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
inference(cnf_transformation,[status(esa)],[f38_nnf]) ).
cnf(hi38,axiom,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114) = true,
inference(equality_encoding,[status(esa)],[c38]) ).
cnf(h50,plain,
genls(c_tptpcol_7_93186,c_tptpcol_5_90114) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi40,hi38]) ).
fof(f44,axiom,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).
fof(f44_nnf,plain,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
inference(nnf_transformation,[status(thm)],[f44]) ).
cnf(c44,plain,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
inference(cnf_transformation,[status(esa)],[f44_nnf]) ).
cnf(hi44,axiom,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698) = true,
inference(equality_encoding,[status(esa)],[c44]) ).
fof(f42,axiom,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just43) ).
fof(f42_nnf,plain,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
inference(nnf_transformation,[status(thm)],[f42]) ).
cnf(c42,plain,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
inference(cnf_transformation,[status(esa)],[f42_nnf]) ).
cnf(hi42,axiom,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186) = true,
inference(equality_encoding,[status(esa)],[c42]) ).
cnf(h55,plain,
genls(c_tptpcol_9_93699,c_tptpcol_7_93186) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi44,hi42]) ).
cnf(h136,plain,
genls(c_tptpcol_9_93699,c_tptpcol_5_90114) = true,
inference(hyper_resolution,[status(thm)],[hi140,h55,h50]) ).
cnf(h226,plain,
genls(c_tptpcol_9_93699,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi140,h136,h123]) ).
fof(f48,axiom,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).
fof(f48_nnf,plain,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
inference(nnf_transformation,[status(thm)],[f48]) ).
cnf(c48,plain,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
inference(cnf_transformation,[status(esa)],[f48_nnf]) ).
cnf(hi48,axiom,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700) = true,
inference(equality_encoding,[status(esa)],[c48]) ).
fof(f46,axiom,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).
fof(f46_nnf,plain,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
inference(nnf_transformation,[status(thm)],[f46]) ).
cnf(c46,plain,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
inference(cnf_transformation,[status(esa)],[f46_nnf]) ).
cnf(hi46,axiom,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699) = true,
inference(equality_encoding,[status(esa)],[c46]) ).
cnf(h59,plain,
genls(c_tptpcol_11_93764,c_tptpcol_9_93699) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi48,hi46]) ).
fof(f52,axiom,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).
fof(f52_nnf,plain,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
inference(nnf_transformation,[status(thm)],[f52]) ).
cnf(c52,plain,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
inference(cnf_transformation,[status(esa)],[f52_nnf]) ).
cnf(hi52,axiom,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765) = true,
inference(equality_encoding,[status(esa)],[c52]) ).
fof(f50,axiom,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just51) ).
fof(f50_nnf,plain,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
inference(nnf_transformation,[status(thm)],[f50]) ).
cnf(c50,plain,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
inference(cnf_transformation,[status(esa)],[f50_nnf]) ).
cnf(hi50,axiom,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764) = true,
inference(equality_encoding,[status(esa)],[c50]) ).
cnf(h64,plain,
genls(c_tptpcol_13_93766,c_tptpcol_11_93764) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi52,hi50]) ).
cnf(h147,plain,
genls(c_tptpcol_13_93766,c_tptpcol_9_93699) = true,
inference(hyper_resolution,[status(thm)],[hi140,h64,h59]) ).
fof(f56,axiom,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).
fof(f56_nnf,plain,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
inference(nnf_transformation,[status(thm)],[f56]) ).
cnf(c56,plain,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
inference(cnf_transformation,[status(esa)],[f56_nnf]) ).
cnf(hi56,axiom,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774) = true,
inference(equality_encoding,[status(esa)],[c56]) ).
fof(f54,axiom,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just55) ).
fof(f54_nnf,plain,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
inference(nnf_transformation,[status(thm)],[f54]) ).
cnf(c54,plain,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
inference(cnf_transformation,[status(esa)],[f54_nnf]) ).
cnf(hi54,axiom,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766) = true,
inference(equality_encoding,[status(esa)],[c54]) ).
cnf(h69,plain,
genls(c_tptpcol_15_93775,c_tptpcol_13_93766) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi56,hi54]) ).
cnf(h240,plain,
genls(c_tptpcol_15_93775,c_tptpcol_9_93699) = true,
inference(hyper_resolution,[status(thm)],[hi140,h69,h147]) ).
cnf(h421,plain,
genls(c_tptpcol_15_93775,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi140,h240,h226]) ).
fof(f16,axiom,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).
fof(f16_nnf,plain,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(hi16,axiom,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
fof(f14,axiom,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).
fof(f14_nnf,plain,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(hi14,axiom,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(h22,plain,
genls(c_tptpcol_7_18437,c_tptpcol_5_16388) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi16,hi14]) ).
fof(f20,axiom,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just21) ).
fof(f20_nnf,plain,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c20,plain,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(hi20,axiom,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
fof(f18,axiom,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).
fof(f18_nnf,plain,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(hi18,axiom,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(h27,plain,
genls(c_tptpcol_9_18439,c_tptpcol_7_18437) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi20,hi18]) ).
cnf(h106,plain,
genls(c_tptpcol_9_18439,c_tptpcol_5_16388) = true,
inference(hyper_resolution,[status(thm)],[hi140,h27,h22]) ).
fof(f24,axiom,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just25) ).
fof(f24_nnf,plain,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
inference(nnf_transformation,[status(thm)],[f24]) ).
cnf(c24,plain,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
inference(cnf_transformation,[status(esa)],[f24_nnf]) ).
cnf(hi24,axiom,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
fof(f22,axiom,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).
fof(f22_nnf,plain,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(hi22,axiom,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(h31,plain,
genls(c_tptpcol_11_18631,c_tptpcol_9_18439) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi24,hi22]) ).
fof(f28,axiom,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).
fof(f28_nnf,plain,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
inference(nnf_transformation,[status(thm)],[f28]) ).
cnf(c28,plain,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
inference(cnf_transformation,[status(esa)],[f28_nnf]) ).
cnf(hi28,axiom,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663) = true,
inference(equality_encoding,[status(esa)],[c28]) ).
fof(f26,axiom,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).
fof(f26_nnf,plain,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(hi26,axiom,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(h36,plain,
genls(c_tptpcol_13_18664,c_tptpcol_11_18631) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi28,hi26]) ).
cnf(h114,plain,
genls(c_tptpcol_13_18664,c_tptpcol_9_18439) = true,
inference(hyper_resolution,[status(thm)],[hi140,h36,h31]) ).
cnf(h199,plain,
genls(c_tptpcol_13_18664,c_tptpcol_5_16388) = true,
inference(hyper_resolution,[status(thm)],[hi140,h114,h106]) ).
fof(f8,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f8_nnf,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi8,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
fof(f6,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
fof(f6_nnf,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h13,plain,
genls(c_tptpcol_3_16386,c_tptpcol_1_1) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi8,hi6]) ).
fof(f12,axiom,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
fof(f12_nnf,plain,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi12,axiom,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
fof(f10,axiom,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
fof(f10_nnf,plain,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(hi10,axiom,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(h17,plain,
genls(c_tptpcol_5_16388,c_tptpcol_3_16386) = true,
inference(hyper_resolution,[status(thm)],[hi140,hi12,hi10]) ).
cnf(h96,plain,
genls(c_tptpcol_5_16388,c_tptpcol_1_1) = true,
inference(hyper_resolution,[status(thm)],[hi140,h17,h13]) ).
fof(f75,axiom,
! [X,Y] :
( disjointwith(X,Y)
=> disjointwith(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just76) ).
fof(f75_nnf,plain,
! [X,Y] :
( disjointwith(Y,X)
| ~ disjointwith(X,Y) ),
inference(nnf_transformation,[status(thm)],[f75]) ).
fof(f75_sk,plain,
! [X,Y] :
( disjointwith(Y,X)
| ~ disjointwith(X,Y) ),
inference(skolemisation,[status(esa)],[f75_nnf]) ).
cnf(c75,plain,
( disjointwith(X1,X0)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f75_sk]) ).
cnf(hi73,axiom,
ifeq(disjointwith(X0,X1),true,disjointwith(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c75]) ).
fof(f58,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).
fof(f58_nnf,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(nnf_transformation,[status(thm)],[f58]) ).
cnf(c58,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(cnf_transformation,[status(esa)],[f58_nnf]) ).
cnf(hi58,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536) = true,
inference(equality_encoding,[status(esa)],[c58]) ).
cnf(h73,plain,
disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1) = true,
inference(hyper_resolution,[status(thm)],[hi73,hi58]) ).
fof(f76,axiom,
! [ARG1,OLD,NEW] :
( ( genls(NEW,OLD)
& disjointwith(ARG1,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just77) ).
fof(f76_nnf,plain,
! [ARG1,OLD,NEW] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ),
inference(nnf_transformation,[status(thm)],[f76]) ).
fof(f76_sk,plain,
! [ARG1,OLD,NEW] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ),
inference(skolemisation,[status(esa)],[f76_nnf]) ).
cnf(c76,plain,
( disjointwith(X0,X2)
| ~ genls(X2,X1)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f76_sk]) ).
cnf(hi74,axiom,
ifeq(disjointwith(X0,X1),true,ifeq(genls(X2,X1),true,disjointwith(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c76]) ).
cnf(h176,plain,
disjointwith(c_tptpcol_1_65536,c_tptpcol_5_16388) = true,
inference(hyper_resolution,[status(thm)],[hi74,h73,h96]) ).
cnf(h325,plain,
disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664) = true,
inference(hyper_resolution,[status(thm)],[hi74,h176,h199]) ).
fof(f77,axiom,
! [OLD,ARG2,NEW] :
( ( genls(NEW,OLD)
& disjointwith(OLD,ARG2) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just78) ).
fof(f77_nnf,plain,
! [OLD,ARG2,NEW] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(nnf_transformation,[status(thm)],[f77]) ).
fof(f77_sk,plain,
! [OLD,ARG2,NEW] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(skolemisation,[status(esa)],[f77_nnf]) ).
cnf(c77,plain,
( disjointwith(X2,X1)
| ~ genls(X2,X0)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f77_sk]) ).
cnf(hi75,axiom,
ifeq(disjointwith(X0,X1),true,ifeq(genls(X2,X0),true,disjointwith(X2,X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c77]) ).
cnf(h628,plain,
disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) = true,
inference(hyper_resolution,[status(thm)],[hi75,h325,h421]) ).
fof(f170,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/sandbox2/benchmark/theBenchmark.p',query39) ).
fof(f170_neg,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(negated_conjecture,[status(cth)],[f170]) ).
fof(f170_nnf,plain,
( ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664)
& mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7)) ),
inference(nnf_transformation,[status(thm)],[f170_neg]) ).
fof(f170_sk,plain,
( ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664)
& mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7)) ),
inference(skolemisation,[status(esa)],[f170_nnf]) ).
cnf(c171,plain,
~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
inference(cnf_transformation,[status(esa)],[f170_sk]) ).
cnf(hi171,negated_conjecture,
ifeq(disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c171]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi171,h628]) ).
cnf(t1402,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f59,axiom,
! [OBJ] :
~ ( tptpcol_1_65536(OBJ)
& tptpcol_1_1(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just60) ).
fof(f59_nnf,plain,
! [OBJ] :
( ~ tptpcol_1_65536(OBJ)
| ~ tptpcol_1_1(OBJ) ),
inference(nnf_transformation,[status(thm)],[f59]) ).
fof(f59_sk,plain,
! [OBJ] :
( ~ tptpcol_1_65536(OBJ)
| ~ tptpcol_1_1(OBJ) ),
inference(skolemisation,[status(esa)],[f59_nnf]) ).
cnf(c59,plain,
( ~ tptpcol_1_65536(X0)
| ~ tptpcol_1_1(X0) ),
inference(cnf_transformation,[status(esa)],[f59_sk]) ).
fof(f60,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just61) ).
fof(f60_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f60]) ).
fof(f60_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f60_nnf]) ).
cnf(c60,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f60_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c59,c60,c171]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1402]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR039+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 08:25:52 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.08/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.08/1.39 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------