%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR049+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 01:05:29 PM UTC 2026
% Result : Theorem 9.16s 1.73s
% Output : Proof 9.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 37
% Syntax : Number of formulae : 188 ( 164 unt; 0 def)
% Number of atoms : 228 ( 69 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 81 ( 41 ~; 27 |; 8 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 35 con; 0-4 aty)
% Number of variables : 61 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f158,axiom,
! [ARG1,OLD,NEW] :
( ( genls(OLD,NEW)
& genls(ARG1,OLD) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just159) ).
fof(f158_nnf,plain,
! [ARG1,OLD,NEW] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(nnf_transformation,[status(thm)],[f158]) ).
fof(f158_sk,plain,
! [ARG1,OLD,NEW] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(skolemisation,[status(esa)],[f158_nnf]) ).
cnf(c158,plain,
( genls(X0,X2)
| ~ genls(X1,X2)
| ~ genls(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f158_sk]) ).
cnf(hi156,axiom,
ifeq(genls(X0,X1),true,ifeq(genls(X1,X2),true,genls(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c158]) ).
fof(f38,axiom,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).
fof(f38_nnf,plain,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
inference(nnf_transformation,[status(thm)],[f38]) ).
cnf(c38,plain,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
inference(cnf_transformation,[status(esa)],[f38_nnf]) ).
cnf(hi38,axiom,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537) = true,
inference(equality_encoding,[status(esa)],[c38]) ).
fof(f36,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
fof(f36_nnf,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(nnf_transformation,[status(thm)],[f36]) ).
cnf(c36,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(cnf_transformation,[status(esa)],[f36_nnf]) ).
cnf(hi36,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536) = true,
inference(equality_encoding,[status(esa)],[c36]) ).
cnf(h48,plain,
genls(c_tptpcol_3_81921,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi38,hi36]) ).
fof(f42,axiom,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).
fof(f42_nnf,plain,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
inference(nnf_transformation,[status(thm)],[f42]) ).
cnf(c42,plain,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
inference(cnf_transformation,[status(esa)],[f42_nnf]) ).
cnf(hi42,axiom,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113) = true,
inference(equality_encoding,[status(esa)],[c42]) ).
fof(f40,axiom,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).
fof(f40_nnf,plain,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
inference(nnf_transformation,[status(thm)],[f40]) ).
cnf(c40,plain,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
inference(cnf_transformation,[status(esa)],[f40_nnf]) ).
cnf(hi40,axiom,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(h52,plain,
genls(c_tptpcol_5_90114,c_tptpcol_3_81921) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi42,hi40]) ).
cnf(h141,plain,
genls(c_tptpcol_5_90114,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi156,h52,h48]) ).
fof(f46,axiom,
genls(c_tptpcol_7_92163,c_tptpcol_6_92162),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).
fof(f46_nnf,plain,
genls(c_tptpcol_7_92163,c_tptpcol_6_92162),
inference(nnf_transformation,[status(thm)],[f46]) ).
cnf(c46,plain,
genls(c_tptpcol_7_92163,c_tptpcol_6_92162),
inference(cnf_transformation,[status(esa)],[f46_nnf]) ).
cnf(hi46,axiom,
genls(c_tptpcol_7_92163,c_tptpcol_6_92162) = true,
inference(equality_encoding,[status(esa)],[c46]) ).
fof(f44,axiom,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
fof(f44_nnf,plain,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
inference(nnf_transformation,[status(thm)],[f44]) ).
cnf(c44,plain,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
inference(cnf_transformation,[status(esa)],[f44_nnf]) ).
cnf(hi44,axiom,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114) = true,
inference(equality_encoding,[status(esa)],[c44]) ).
cnf(h57,plain,
genls(c_tptpcol_7_92163,c_tptpcol_5_90114) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi46,hi44]) ).
fof(f50,axiom,
genls(c_tptpcol_9_92165,c_tptpcol_8_92164),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).
fof(f50_nnf,plain,
genls(c_tptpcol_9_92165,c_tptpcol_8_92164),
inference(nnf_transformation,[status(thm)],[f50]) ).
cnf(c50,plain,
genls(c_tptpcol_9_92165,c_tptpcol_8_92164),
inference(cnf_transformation,[status(esa)],[f50_nnf]) ).
cnf(hi50,axiom,
genls(c_tptpcol_9_92165,c_tptpcol_8_92164) = true,
inference(equality_encoding,[status(esa)],[c50]) ).
fof(f48,axiom,
genls(c_tptpcol_8_92164,c_tptpcol_7_92163),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
fof(f48_nnf,plain,
genls(c_tptpcol_8_92164,c_tptpcol_7_92163),
inference(nnf_transformation,[status(thm)],[f48]) ).
cnf(c48,plain,
genls(c_tptpcol_8_92164,c_tptpcol_7_92163),
inference(cnf_transformation,[status(esa)],[f48_nnf]) ).
cnf(hi48,axiom,
genls(c_tptpcol_8_92164,c_tptpcol_7_92163) = true,
inference(equality_encoding,[status(esa)],[c48]) ).
cnf(h62,plain,
genls(c_tptpcol_9_92165,c_tptpcol_7_92163) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi50,hi48]) ).
cnf(h152,plain,
genls(c_tptpcol_9_92165,c_tptpcol_5_90114) = true,
inference(hyper_resolution,[status(thm)],[hi156,h62,h57]) ).
cnf(h257,plain,
genls(c_tptpcol_9_92165,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi156,h152,h141]) ).
fof(f54,axiom,
genls(c_tptpcol_11_92230,c_tptpcol_10_92166),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).
fof(f54_nnf,plain,
genls(c_tptpcol_11_92230,c_tptpcol_10_92166),
inference(nnf_transformation,[status(thm)],[f54]) ).
cnf(c54,plain,
genls(c_tptpcol_11_92230,c_tptpcol_10_92166),
inference(cnf_transformation,[status(esa)],[f54_nnf]) ).
cnf(hi54,axiom,
genls(c_tptpcol_11_92230,c_tptpcol_10_92166) = true,
inference(equality_encoding,[status(esa)],[c54]) ).
fof(f52,axiom,
genls(c_tptpcol_10_92166,c_tptpcol_9_92165),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
fof(f52_nnf,plain,
genls(c_tptpcol_10_92166,c_tptpcol_9_92165),
inference(nnf_transformation,[status(thm)],[f52]) ).
cnf(c52,plain,
genls(c_tptpcol_10_92166,c_tptpcol_9_92165),
inference(cnf_transformation,[status(esa)],[f52_nnf]) ).
cnf(hi52,axiom,
genls(c_tptpcol_10_92166,c_tptpcol_9_92165) = true,
inference(equality_encoding,[status(esa)],[c52]) ).
cnf(h66,plain,
genls(c_tptpcol_11_92230,c_tptpcol_9_92165) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi54,hi52]) ).
fof(f58,axiom,
genls(c_tptpcol_13_92263,c_tptpcol_12_92262),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).
fof(f58_nnf,plain,
genls(c_tptpcol_13_92263,c_tptpcol_12_92262),
inference(nnf_transformation,[status(thm)],[f58]) ).
cnf(c58,plain,
genls(c_tptpcol_13_92263,c_tptpcol_12_92262),
inference(cnf_transformation,[status(esa)],[f58_nnf]) ).
cnf(hi58,axiom,
genls(c_tptpcol_13_92263,c_tptpcol_12_92262) = true,
inference(equality_encoding,[status(esa)],[c58]) ).
fof(f56,axiom,
genls(c_tptpcol_12_92262,c_tptpcol_11_92230),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).
fof(f56_nnf,plain,
genls(c_tptpcol_12_92262,c_tptpcol_11_92230),
inference(nnf_transformation,[status(thm)],[f56]) ).
cnf(c56,plain,
genls(c_tptpcol_12_92262,c_tptpcol_11_92230),
inference(cnf_transformation,[status(esa)],[f56_nnf]) ).
cnf(hi56,axiom,
genls(c_tptpcol_12_92262,c_tptpcol_11_92230) = true,
inference(equality_encoding,[status(esa)],[c56]) ).
cnf(h71,plain,
genls(c_tptpcol_13_92263,c_tptpcol_11_92230) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi58,hi56]) ).
cnf(h164,plain,
genls(c_tptpcol_13_92263,c_tptpcol_9_92165) = true,
inference(hyper_resolution,[status(thm)],[hi156,h71,h66]) ).
fof(f62,axiom,
genls(c_tptpcol_15_92268,c_tptpcol_14_92264),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
fof(f62_nnf,plain,
genls(c_tptpcol_15_92268,c_tptpcol_14_92264),
inference(nnf_transformation,[status(thm)],[f62]) ).
cnf(c62,plain,
genls(c_tptpcol_15_92268,c_tptpcol_14_92264),
inference(cnf_transformation,[status(esa)],[f62_nnf]) ).
cnf(hi62,axiom,
genls(c_tptpcol_15_92268,c_tptpcol_14_92264) = true,
inference(equality_encoding,[status(esa)],[c62]) ).
fof(f60,axiom,
genls(c_tptpcol_14_92264,c_tptpcol_13_92263),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just61) ).
fof(f60_nnf,plain,
genls(c_tptpcol_14_92264,c_tptpcol_13_92263),
inference(nnf_transformation,[status(thm)],[f60]) ).
cnf(c60,plain,
genls(c_tptpcol_14_92264,c_tptpcol_13_92263),
inference(cnf_transformation,[status(esa)],[f60_nnf]) ).
cnf(hi60,axiom,
genls(c_tptpcol_14_92264,c_tptpcol_13_92263) = true,
inference(equality_encoding,[status(esa)],[c60]) ).
cnf(h76,plain,
genls(c_tptpcol_15_92268,c_tptpcol_13_92263) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi62,hi60]) ).
fof(f64,axiom,
genls(c_tptpcol_16_92269,c_tptpcol_15_92268),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just65) ).
fof(f64_nnf,plain,
genls(c_tptpcol_16_92269,c_tptpcol_15_92268),
inference(nnf_transformation,[status(thm)],[f64]) ).
cnf(c64,plain,
genls(c_tptpcol_16_92269,c_tptpcol_15_92268),
inference(cnf_transformation,[status(esa)],[f64_nnf]) ).
cnf(hi64,axiom,
genls(c_tptpcol_16_92269,c_tptpcol_15_92268) = true,
inference(equality_encoding,[status(esa)],[c64]) ).
cnf(h170,plain,
genls(c_tptpcol_16_92269,c_tptpcol_13_92263) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi64,h76]) ).
cnf(h277,plain,
genls(c_tptpcol_16_92269,c_tptpcol_9_92165) = true,
inference(hyper_resolution,[status(thm)],[hi156,h170,h164]) ).
cnf(h486,plain,
genls(c_tptpcol_16_92269,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi156,h277,h257]) ).
fof(f22,axiom,
genls(c_tptpcol_10_26886,c_tptpcol_9_26885),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).
fof(f22_nnf,plain,
genls(c_tptpcol_10_26886,c_tptpcol_9_26885),
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
genls(c_tptpcol_10_26886,c_tptpcol_9_26885),
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(hi22,axiom,
genls(c_tptpcol_10_26886,c_tptpcol_9_26885) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
fof(f20,axiom,
genls(c_tptpcol_9_26885,c_tptpcol_8_26629),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).
fof(f20_nnf,plain,
genls(c_tptpcol_9_26885,c_tptpcol_8_26629),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c20,plain,
genls(c_tptpcol_9_26885,c_tptpcol_8_26629),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(hi20,axiom,
genls(c_tptpcol_9_26885,c_tptpcol_8_26629) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(h29,plain,
genls(c_tptpcol_10_26886,c_tptpcol_8_26629) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi22,hi20]) ).
fof(f26,axiom,
genls(c_tptpcol_12_26919,c_tptpcol_11_26887),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
fof(f26_nnf,plain,
genls(c_tptpcol_12_26919,c_tptpcol_11_26887),
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
genls(c_tptpcol_12_26919,c_tptpcol_11_26887),
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(hi26,axiom,
genls(c_tptpcol_12_26919,c_tptpcol_11_26887) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
fof(f24,axiom,
genls(c_tptpcol_11_26887,c_tptpcol_10_26886),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
fof(f24_nnf,plain,
genls(c_tptpcol_11_26887,c_tptpcol_10_26886),
inference(nnf_transformation,[status(thm)],[f24]) ).
cnf(c24,plain,
genls(c_tptpcol_11_26887,c_tptpcol_10_26886),
inference(cnf_transformation,[status(esa)],[f24_nnf]) ).
cnf(hi24,axiom,
genls(c_tptpcol_11_26887,c_tptpcol_10_26886) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(h34,plain,
genls(c_tptpcol_12_26919,c_tptpcol_10_26886) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi26,hi24]) ).
cnf(h119,plain,
genls(c_tptpcol_12_26919,c_tptpcol_8_26629) = true,
inference(hyper_resolution,[status(thm)],[hi156,h34,h29]) ).
fof(f30,axiom,
genls(c_tptpcol_14_26921,c_tptpcol_13_26920),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
fof(f30_nnf,plain,
genls(c_tptpcol_14_26921,c_tptpcol_13_26920),
inference(nnf_transformation,[status(thm)],[f30]) ).
cnf(c30,plain,
genls(c_tptpcol_14_26921,c_tptpcol_13_26920),
inference(cnf_transformation,[status(esa)],[f30_nnf]) ).
cnf(hi30,axiom,
genls(c_tptpcol_14_26921,c_tptpcol_13_26920) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
fof(f28,axiom,
genls(c_tptpcol_13_26920,c_tptpcol_12_26919),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
fof(f28_nnf,plain,
genls(c_tptpcol_13_26920,c_tptpcol_12_26919),
inference(nnf_transformation,[status(thm)],[f28]) ).
cnf(c28,plain,
genls(c_tptpcol_13_26920,c_tptpcol_12_26919),
inference(cnf_transformation,[status(esa)],[f28_nnf]) ).
cnf(hi28,axiom,
genls(c_tptpcol_13_26920,c_tptpcol_12_26919) = true,
inference(equality_encoding,[status(esa)],[c28]) ).
cnf(h38,plain,
genls(c_tptpcol_14_26921,c_tptpcol_12_26919) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi30,hi28]) ).
fof(f34,axiom,
genls(c_tptpcol_16_26926,c_tptpcol_15_26925),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
fof(f34_nnf,plain,
genls(c_tptpcol_16_26926,c_tptpcol_15_26925),
inference(nnf_transformation,[status(thm)],[f34]) ).
cnf(c34,plain,
genls(c_tptpcol_16_26926,c_tptpcol_15_26925),
inference(cnf_transformation,[status(esa)],[f34_nnf]) ).
cnf(hi34,axiom,
genls(c_tptpcol_16_26926,c_tptpcol_15_26925) = true,
inference(equality_encoding,[status(esa)],[c34]) ).
fof(f32,axiom,
genls(c_tptpcol_15_26925,c_tptpcol_14_26921),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
fof(f32_nnf,plain,
genls(c_tptpcol_15_26925,c_tptpcol_14_26921),
inference(nnf_transformation,[status(thm)],[f32]) ).
cnf(c32,plain,
genls(c_tptpcol_15_26925,c_tptpcol_14_26921),
inference(cnf_transformation,[status(esa)],[f32_nnf]) ).
cnf(hi32,axiom,
genls(c_tptpcol_15_26925,c_tptpcol_14_26921) = true,
inference(equality_encoding,[status(esa)],[c32]) ).
cnf(h43,plain,
genls(c_tptpcol_16_26926,c_tptpcol_14_26921) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi34,hi32]) ).
cnf(h130,plain,
genls(c_tptpcol_16_26926,c_tptpcol_12_26919) = true,
inference(hyper_resolution,[status(thm)],[hi156,h43,h38]) ).
cnf(h230,plain,
genls(c_tptpcol_16_26926,c_tptpcol_8_26629) = true,
inference(hyper_resolution,[status(thm)],[hi156,h130,h119]) ).
fof(f14,axiom,
genls(c_tptpcol_6_26627,c_tptpcol_5_24579),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).
fof(f14_nnf,plain,
genls(c_tptpcol_6_26627,c_tptpcol_5_24579),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
genls(c_tptpcol_6_26627,c_tptpcol_5_24579),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(hi14,axiom,
genls(c_tptpcol_6_26627,c_tptpcol_5_24579) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
fof(f12,axiom,
genls(c_tptpcol_5_24579,c_tptpcol_4_24578),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
fof(f12_nnf,plain,
genls(c_tptpcol_5_24579,c_tptpcol_4_24578),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
genls(c_tptpcol_5_24579,c_tptpcol_4_24578),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi12,axiom,
genls(c_tptpcol_5_24579,c_tptpcol_4_24578) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(h20,plain,
genls(c_tptpcol_6_26627,c_tptpcol_4_24578) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi14,hi12]) ).
fof(f18,axiom,
genls(c_tptpcol_8_26629,c_tptpcol_7_26628),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).
fof(f18_nnf,plain,
genls(c_tptpcol_8_26629,c_tptpcol_7_26628),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
genls(c_tptpcol_8_26629,c_tptpcol_7_26628),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(hi18,axiom,
genls(c_tptpcol_8_26629,c_tptpcol_7_26628) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
fof(f16,axiom,
genls(c_tptpcol_7_26628,c_tptpcol_6_26627),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).
fof(f16_nnf,plain,
genls(c_tptpcol_7_26628,c_tptpcol_6_26627),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
genls(c_tptpcol_7_26628,c_tptpcol_6_26627),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(hi16,axiom,
genls(c_tptpcol_7_26628,c_tptpcol_6_26627) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(h24,plain,
genls(c_tptpcol_8_26629,c_tptpcol_6_26627) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi18,hi16]) ).
cnf(h108,plain,
genls(c_tptpcol_8_26629,c_tptpcol_4_24578) = true,
inference(hyper_resolution,[status(thm)],[hi156,h24,h20]) ).
fof(f10,axiom,
genls(c_tptpcol_4_24578,c_tptpcol_3_16386),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f10_nnf,plain,
genls(c_tptpcol_4_24578,c_tptpcol_3_16386),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
genls(c_tptpcol_4_24578,c_tptpcol_3_16386),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(hi10,axiom,
genls(c_tptpcol_4_24578,c_tptpcol_3_16386) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
fof(f8,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
file('/export/starexec/sandbox/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]) ).
cnf(h15,plain,
genls(c_tptpcol_4_24578,c_tptpcol_2_2) = true,
inference(hyper_resolution,[status(thm)],[hi156,hi10,hi8]) ).
fof(f85,axiom,
! [OLD,ARG2,NEW] :
( ( genls(NEW,OLD)
& disjointwith(OLD,ARG2) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just86) ).
fof(f85_nnf,plain,
! [OLD,ARG2,NEW] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(nnf_transformation,[status(thm)],[f85]) ).
fof(f85_sk,plain,
! [OLD,ARG2,NEW] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(skolemisation,[status(esa)],[f85_nnf]) ).
cnf(c85,plain,
( disjointwith(X2,X1)
| ~ genls(X2,X0)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f85_sk]) ).
cnf(hi83,axiom,
ifeq(disjointwith(X0,X1),true,ifeq(genls(X2,X0),true,disjointwith(X2,X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c85]) ).
fof(f66,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just67) ).
fof(f66_nnf,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(nnf_transformation,[status(thm)],[f66]) ).
cnf(c66,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(cnf_transformation,[status(esa)],[f66_nnf]) ).
cnf(hi66,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536) = true,
inference(equality_encoding,[status(esa)],[c66]) ).
fof(f6,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
file('/export/starexec/sandbox/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(h80,plain,
disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi83,hi66,hi6]) ).
cnf(h174,plain,
disjointwith(c_tptpcol_4_24578,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi83,h80,h15]) ).
cnf(h280,plain,
disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi83,h174,h108]) ).
cnf(h488,plain,
disjointwith(c_tptpcol_16_26926,c_tptpcol_1_65536) = true,
inference(hyper_resolution,[status(thm)],[hi83,h280,h230]) ).
fof(f84,axiom,
! [ARG1,OLD,NEW] :
( ( genls(NEW,OLD)
& disjointwith(ARG1,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just85) ).
fof(f84_nnf,plain,
! [ARG1,OLD,NEW] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ),
inference(nnf_transformation,[status(thm)],[f84]) ).
fof(f84_sk,plain,
! [ARG1,OLD,NEW] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ),
inference(skolemisation,[status(esa)],[f84_nnf]) ).
cnf(c84,plain,
( disjointwith(X0,X2)
| ~ genls(X2,X1)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f84_sk]) ).
cnf(hi82,axiom,
ifeq(disjointwith(X0,X1),true,ifeq(genls(X2,X1),true,disjointwith(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c84]) ).
cnf(h804,plain,
disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) = true,
inference(hyper_resolution,[status(thm)],[hi82,h488,h486]) ).
fof(f176,conjecture,
( mtvisible(c_unitedstatesgeographypeoplemt)
=> disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query49) ).
fof(f176_neg,negated_conjecture,
~ ( mtvisible(c_unitedstatesgeographypeoplemt)
=> disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) ),
inference(negated_conjecture,[status(cth)],[f176]) ).
fof(f176_nnf,plain,
( ~ disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
& mtvisible(c_unitedstatesgeographypeoplemt) ),
inference(nnf_transformation,[status(thm)],[f176_neg]) ).
fof(f176_sk,plain,
( ~ disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
& mtvisible(c_unitedstatesgeographypeoplemt) ),
inference(skolemisation,[status(esa)],[f176_nnf]) ).
cnf(c177,plain,
~ disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269),
inference(cnf_transformation,[status(esa)],[f176_sk]) ).
cnf(hi177,negated_conjecture,
ifeq(disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c177]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi177,h804]) ).
cnf(t1377,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f67,axiom,
! [OBJ] :
~ ( tptpcol_1_65536(OBJ)
& tptpcol_1_1(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just68) ).
fof(f67_nnf,plain,
! [OBJ] :
( ~ tptpcol_1_65536(OBJ)
| ~ tptpcol_1_1(OBJ) ),
inference(nnf_transformation,[status(thm)],[f67]) ).
fof(f67_sk,plain,
! [OBJ] :
( ~ tptpcol_1_65536(OBJ)
| ~ tptpcol_1_1(OBJ) ),
inference(skolemisation,[status(esa)],[f67_nnf]) ).
cnf(c67,plain,
( ~ tptpcol_1_65536(X0)
| ~ tptpcol_1_1(X0) ),
inference(cnf_transformation,[status(esa)],[f67_sk]) ).
fof(f68,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just69) ).
fof(f68_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f68]) ).
fof(f68_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f68_nnf]) ).
cnf(c68,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f68_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c67,c68,c177]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1377]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR049+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 08:33:13 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.16/1.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.16/1.73 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------