%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR061+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:14:37 PM UTC 2026
% Result : Theorem 4.02s 3.07s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 79 ( 51 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 31 ~; 28 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 43 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_1112,axiom,
! [X15,X6,X16] :
( ( genls(X15,X6)
& genls(X16,X15) )
=> genls(X16,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1112) ).
fof(ax1_1122,axiom,
! [X15,X6,X16] :
( ( disjointwith(X15,X6)
& genls(X16,X15) )
=> disjointwith(X16,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1122) ).
fof(ax1_401,axiom,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_401) ).
fof(ax1_487,axiom,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_487) ).
fof(ax1_215,axiom,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_215) ).
fof(ax1_393,axiom,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_393) ).
fof(ax1_68,axiom,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_68) ).
fof(ax1_489,axiom,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_489) ).
fof(ax1_1121,axiom,
! [X5,X15,X16] :
( ( disjointwith(X5,X15)
& genls(X16,X15) )
=> disjointwith(X5,X16) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1121) ).
fof(ax1_235,axiom,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_235) ).
fof(ax1_100,axiom,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_100) ).
fof(ax1_70,axiom,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_70) ).
fof(ax1_356,axiom,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_356) ).
fof(ax1_361,axiom,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_361) ).
fof(ax1_160,axiom,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_160) ).
fof(ax1_499,axiom,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_499) ).
fof(ax1_387,axiom,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_387) ).
fof(ax1_422,axiom,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_422) ).
fof(ax1_258,axiom,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_258) ).
fof(ax1_129,axiom,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_129) ).
fof(query111,conjecture,
( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query111) ).
fof(c_0_21,plain,
! [X2227,X2228,X2229] :
( ~ genls(X2227,X2228)
| ~ genls(X2229,X2227)
| genls(X2229,X2228) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1112])]) ).
fof(c_0_22,plain,
! [X2246,X2247,X2248] :
( ~ disjointwith(X2246,X2247)
| ~ genls(X2248,X2246)
| disjointwith(X2248,X2247) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1122])]) ).
cnf(c_0_23,plain,
( genls(X3,X2)
| ~ genls(X1,X2)
| ~ genls(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
inference(split_conjunct,[status(thm)],[ax1_401]) ).
cnf(c_0_25,plain,
( disjointwith(X3,X2)
| ~ disjointwith(X1,X2)
| ~ genls(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
inference(split_conjunct,[status(thm)],[ax1_487]) ).
cnf(c_0_27,plain,
( genls(c_tptpcol_8_114177,X1)
| ~ genls(c_tptpcol_7_113665,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
inference(split_conjunct,[status(thm)],[ax1_215]) ).
cnf(c_0_29,plain,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
inference(split_conjunct,[status(thm)],[ax1_393]) ).
cnf(c_0_30,plain,
( disjointwith(X1,c_tptpcol_3_114688)
| ~ genls(X1,c_tptpcol_3_98305) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
inference(split_conjunct,[status(thm)],[ax1_68]) ).
cnf(c_0_32,plain,
genls(c_tptpcol_8_114177,c_tptpcol_6_112641),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( genls(c_tptpcol_6_112641,X1)
| ~ genls(c_tptpcol_5_110593,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_29]) ).
cnf(c_0_34,plain,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
inference(split_conjunct,[status(thm)],[ax1_489]) ).
cnf(c_0_35,plain,
disjointwith(c_tptpcol_4_106497,c_tptpcol_3_114688),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
( genls(c_tptpcol_8_114177,X1)
| ~ genls(c_tptpcol_6_112641,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_32]) ).
cnf(c_0_37,plain,
genls(c_tptpcol_6_112641,c_tptpcol_4_106497),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_38,plain,
! [X2243,X2244,X2245] :
( ~ disjointwith(X2243,X2244)
| ~ genls(X2245,X2244)
| disjointwith(X2243,X2245) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1121])]) ).
cnf(c_0_39,plain,
( disjointwith(X1,c_tptpcol_3_114688)
| ~ genls(X1,c_tptpcol_4_106497) ),
inference(spm,[status(thm)],[c_0_25,c_0_35]) ).
cnf(c_0_40,plain,
genls(c_tptpcol_8_114177,c_tptpcol_4_106497),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
( disjointwith(X1,X3)
| ~ disjointwith(X1,X2)
| ~ genls(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,plain,
disjointwith(c_tptpcol_8_114177,c_tptpcol_3_114688),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
( disjointwith(c_tptpcol_8_114177,X1)
| ~ genls(X1,c_tptpcol_3_114688) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_44,plain,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
inference(split_conjunct,[status(thm)],[ax1_235]) ).
cnf(c_0_45,plain,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
inference(split_conjunct,[status(thm)],[ax1_100]) ).
cnf(c_0_46,plain,
disjointwith(c_tptpcol_8_114177,c_tptpcol_4_114689),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,plain,
( genls(c_tptpcol_6_116738,X1)
| ~ genls(c_tptpcol_5_114690,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_45]) ).
cnf(c_0_48,plain,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
inference(split_conjunct,[status(thm)],[ax1_70]) ).
cnf(c_0_49,plain,
( disjointwith(c_tptpcol_8_114177,X1)
| ~ genls(X1,c_tptpcol_4_114689) ),
inference(spm,[status(thm)],[c_0_41,c_0_46]) ).
cnf(c_0_50,plain,
genls(c_tptpcol_6_116738,c_tptpcol_4_114689),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,plain,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
inference(split_conjunct,[status(thm)],[ax1_356]) ).
cnf(c_0_52,plain,
disjointwith(c_tptpcol_8_114177,c_tptpcol_6_116738),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,plain,
( genls(c_tptpcol_8_117763,X1)
| ~ genls(c_tptpcol_7_117762,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_51]) ).
cnf(c_0_54,plain,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
inference(split_conjunct,[status(thm)],[ax1_361]) ).
cnf(c_0_55,plain,
( disjointwith(c_tptpcol_8_114177,X1)
| ~ genls(X1,c_tptpcol_6_116738) ),
inference(spm,[status(thm)],[c_0_41,c_0_52]) ).
cnf(c_0_56,plain,
genls(c_tptpcol_8_117763,c_tptpcol_6_116738),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,plain,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
inference(split_conjunct,[status(thm)],[ax1_160]) ).
cnf(c_0_58,plain,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
inference(split_conjunct,[status(thm)],[ax1_499]) ).
cnf(c_0_59,plain,
disjointwith(c_tptpcol_8_114177,c_tptpcol_8_117763),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,plain,
( genls(c_tptpcol_10_118020,X1)
| ~ genls(c_tptpcol_9_118019,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_57]) ).
cnf(c_0_61,plain,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
inference(split_conjunct,[status(thm)],[ax1_387]) ).
cnf(c_0_62,plain,
( genls(c_tptpcol_14_118118,X1)
| ~ genls(c_tptpcol_13_118117,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_58]) ).
cnf(c_0_63,plain,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
inference(split_conjunct,[status(thm)],[ax1_422]) ).
cnf(c_0_64,plain,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
inference(split_conjunct,[status(thm)],[ax1_258]) ).
cnf(c_0_65,plain,
( disjointwith(c_tptpcol_8_114177,X1)
| ~ genls(X1,c_tptpcol_8_117763) ),
inference(spm,[status(thm)],[c_0_41,c_0_59]) ).
cnf(c_0_66,plain,
genls(c_tptpcol_10_118020,c_tptpcol_8_117763),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,plain,
genls(c_tptpcol_14_118118,c_tptpcol_12_118116),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,plain,
( genls(c_tptpcol_12_118116,X1)
| ~ genls(c_tptpcol_11_118084,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_64]) ).
cnf(c_0_69,plain,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
inference(split_conjunct,[status(thm)],[ax1_129]) ).
fof(c_0_70,negated_conjecture,
~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(assume_negation,[status(cth)],[query111]) ).
cnf(c_0_71,plain,
disjointwith(c_tptpcol_8_114177,c_tptpcol_10_118020),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
( genls(c_tptpcol_14_118118,X1)
| ~ genls(c_tptpcol_12_118116,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_67]) ).
cnf(c_0_73,plain,
genls(c_tptpcol_12_118116,c_tptpcol_10_118020),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_74,negated_conjecture,
( mtvisible(c_timehasnoendmt)
& ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(fof_nnf,[status(thm)],[c_0_70]) ).
cnf(c_0_75,plain,
( disjointwith(c_tptpcol_8_114177,X1)
| ~ genls(X1,c_tptpcol_10_118020) ),
inference(spm,[status(thm)],[c_0_41,c_0_71]) ).
cnf(c_0_76,plain,
genls(c_tptpcol_14_118118,c_tptpcol_10_118020),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,negated_conjecture,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_78,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CSR061+2 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n001.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 16:40:03 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 4.02/3.07 % Version : CSE_E---1.7
% 4.02/3.07 % Problem : theBenchmark.p
% 4.02/3.07 % SZS status Theorem for theBenchmark.p
% 4.02/3.07 % SZS output start CNFRefutation
% See solution above
% 4.02/3.08 % Total time : 2.475s
%------------------------------------------------------------------------------