%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU445+1 : 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 : n024.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 05:12:23 PM UTC 2026
% Result : Theorem 69.77s 41.04s
% Output : CNFRefutation 70.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 104 ( 15 unt; 0 def)
% Number of atoms : 258 ( 57 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 273 ( 119 ~; 115 |; 18 &)
% ( 6 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-5 aty)
% Number of variables : 265 ( 20 sgn 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(dt_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k10_relset_1(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_relset_1) ).
fof(t51_relset_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k2_funct_5(X3) = k10_relset_1(X2,X1,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
fof(t57_relset_2,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,X3,k6_relset_1(X2,X1,X3)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_relset_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(redefinition_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(dt_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k3_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(dt_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(redefinition_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(t48_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ! [X4] : k9_relat_1(k4_relat_1(X3),X4) = k9_relat_1(k4_relat_1(X3),k3_xboole_0(X4,k2_funct_5(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_relset_2) ).
fof(t159_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> k9_relat_1(k5_relat_1(X2,X3),X1) = k9_relat_1(X3,k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t159_relat_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(c_0_17,plain,
! [X288,X289] :
( ( ~ m1_subset_1(X288,k1_zfmisc_1(X289))
| r1_tarski(X288,X289) )
& ( ~ r1_tarski(X288,X289)
| m1_subset_1(X288,k1_zfmisc_1(X289)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_18,plain,
! [X185,X186,X187,X188] :
( ~ m1_relset_1(X187,X185,X186)
| m1_subset_1(k10_relset_1(X185,X186,X187,X188),k1_zfmisc_1(X186)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_relset_1])]) ).
fof(c_0_19,plain,
! [X297,X298,X299] :
( ( k1_funct_5(X299) = k10_relset_1(X297,X298,k6_relset_1(X298,X297,X299),X297)
| ~ m2_relset_1(X299,X298,X297) )
& ( k2_funct_5(X299) = k10_relset_1(X298,X297,X299,X298)
| ~ m2_relset_1(X299,X298,X297) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])]) ).
fof(c_0_20,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,X3,k6_relset_1(X2,X1,X3)),X2) ),
inference(assume_negation,[status(cth)],[t57_relset_2]) ).
cnf(c_0_21,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( m1_subset_1(k10_relset_1(X2,X3,X1,X4),k1_zfmisc_1(X3))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( k2_funct_5(X1) = k10_relset_1(X2,X3,X1,X2)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,plain,
! [X266,X267,X268] :
( ( ~ m2_relset_1(X268,X266,X267)
| m1_relset_1(X268,X266,X267) )
& ( ~ m1_relset_1(X268,X266,X267)
| m2_relset_1(X268,X266,X267) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_25,negated_conjecture,
( m2_relset_1(esk3_0,esk2_0,esk1_0)
& k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_26,plain,
( r1_tarski(k10_relset_1(X1,X2,X3,X4),X2)
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( k10_relset_1(X1,X2,X3,X1) = k10_relset_1(X4,X5,X3,X4)
| ~ m2_relset_1(X3,X4,X5)
| ~ m2_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_23]) ).
cnf(c_0_28,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
m2_relset_1(esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( r1_tarski(k10_relset_1(X1,X2,X3,X1),X4)
| ~ m1_relset_1(X3,X5,X4)
| ~ m2_relset_1(X3,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_32,negated_conjecture,
m1_relset_1(esk3_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( r1_tarski(k10_relset_1(X1,X2,esk3_0,X1),esk1_0)
| ~ m2_relset_1(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_34,plain,
! [X248,X249,X250,X251] :
( ~ m1_relset_1(X250,X248,X249)
| k10_relset_1(X248,X249,X250,X251) = k9_relat_1(X250,X251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])]) ).
fof(c_0_35,plain,
! [X201,X202,X203,X204,X205] :
( ~ m1_subset_1(X204,k1_zfmisc_1(k2_zfmisc_1(X201,X202)))
| ~ m1_subset_1(X205,k1_zfmisc_1(k2_zfmisc_1(X202,X203)))
| m2_relset_1(k9_relset_2(X201,X202,X203,X204,X205),X201,X203) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])]) ).
fof(c_0_36,plain,
! [X160,X161,X162] :
( ~ m1_subset_1(X162,k1_zfmisc_1(k2_zfmisc_1(X160,X161)))
| v1_relat_1(X162) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_37,plain,
! [X206,X207,X208] :
( ~ m2_relset_1(X208,X206,X207)
| m1_subset_1(X208,k1_zfmisc_1(k2_zfmisc_1(X206,X207))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_38,plain,
! [X176,X177,X178,X179,X180,X181,X182,X183] :
( ( r2_hidden(X179,X176)
| ~ r2_hidden(X179,X178)
| X178 != k3_xboole_0(X176,X177) )
& ( r2_hidden(X179,X177)
| ~ r2_hidden(X179,X178)
| X178 != k3_xboole_0(X176,X177) )
& ( ~ r2_hidden(X180,X176)
| ~ r2_hidden(X180,X177)
| r2_hidden(X180,X178)
| X178 != k3_xboole_0(X176,X177) )
& ( ~ r2_hidden(esk5_3(X181,X182,X183),X183)
| ~ r2_hidden(esk5_3(X181,X182,X183),X181)
| ~ r2_hidden(esk5_3(X181,X182,X183),X182)
| X183 = k3_xboole_0(X181,X182) )
& ( r2_hidden(esk5_3(X181,X182,X183),X181)
| r2_hidden(esk5_3(X181,X182,X183),X183)
| X183 = k3_xboole_0(X181,X182) )
& ( r2_hidden(esk5_3(X181,X182,X183),X182)
| r2_hidden(esk5_3(X181,X182,X183),X183)
| X183 = k3_xboole_0(X181,X182) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])]) ).
fof(c_0_39,plain,
! [X170,X171,X172,X173,X174] :
( ( ~ r1_tarski(X170,X171)
| ~ r2_hidden(X172,X170)
| r2_hidden(X172,X171) )
& ( r2_hidden(esk4_2(X173,X174),X173)
| r1_tarski(X173,X174) )
& ( ~ r2_hidden(esk4_2(X173,X174),X174)
| r1_tarski(X173,X174) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
cnf(c_0_40,negated_conjecture,
( r1_tarski(k2_funct_5(esk3_0),esk1_0)
| ~ m2_relset_1(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_23]) ).
cnf(c_0_41,plain,
( k10_relset_1(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,negated_conjecture,
k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_43,plain,
( m2_relset_1(k9_relset_2(X2,X3,X5,X1,X4),X2,X5)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_46,plain,
! [X198,X199,X200] :
( ~ m1_relset_1(X200,X198,X199)
| m2_relset_1(k6_relset_1(X198,X199,X200),X199,X198) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).
cnf(c_0_47,plain,
( r2_hidden(X1,X4)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X4 != k3_xboole_0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
( r2_hidden(X3,X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,negated_conjecture,
r1_tarski(k2_funct_5(esk3_0),esk1_0),
inference(spm,[status(thm)],[c_0_40,c_0_30]) ).
cnf(c_0_50,plain,
( k2_funct_5(X1) = k9_relat_1(X1,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_23]),c_0_28]) ).
cnf(c_0_51,negated_conjecture,
( k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m1_relset_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_52,plain,
( m1_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(spm,[status(thm)],[c_0_29,c_0_43]) ).
fof(c_0_53,plain,
! [X261,X262,X263,X264,X265] :
( ~ m1_subset_1(X264,k1_zfmisc_1(k2_zfmisc_1(X261,X262)))
| ~ m1_subset_1(X265,k1_zfmisc_1(k2_zfmisc_1(X262,X263)))
| k9_relset_2(X261,X262,X263,X264,X265) = k5_relat_1(X264,X265) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])]) ).
cnf(c_0_54,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_55,plain,
( m2_relset_1(k6_relset_1(X2,X3,X1),X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_56,plain,
! [X258,X259,X260] :
( ~ m1_relset_1(X260,X258,X259)
| k6_relset_1(X258,X259,X260) = k4_relat_1(X260) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
cnf(c_0_57,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_58,plain,
( r2_hidden(X1,k3_xboole_0(X2,X3))
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(X1,X2) ),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_59,negated_conjecture,
( r2_hidden(X1,esk1_0)
| ~ r2_hidden(X1,k2_funct_5(esk3_0)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_60,negated_conjecture,
k2_funct_5(esk3_0) = k9_relat_1(esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_50,c_0_32]) ).
cnf(c_0_61,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k3_xboole_0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_62,negated_conjecture,
( k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m1_subset_1(k6_relset_1(esk2_0,esk1_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_63,plain,
( k9_relset_2(X2,X3,X5,X1,X4) = k5_relat_1(X1,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
( v1_relat_1(k6_relset_1(X1,X2,X3))
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,plain,
( k6_relset_1(X2,X3,X1) = k4_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_66,plain,
! [X290,X291,X292,X293] :
( ~ m1_subset_1(X292,k1_zfmisc_1(k2_zfmisc_1(X290,X291)))
| k9_relat_1(k4_relat_1(X292),X293) = k9_relat_1(k4_relat_1(X292),k3_xboole_0(X293,k2_funct_5(X292))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_relset_2])])]) ).
cnf(c_0_67,plain,
( r1_tarski(X1,k3_xboole_0(X2,X3))
| ~ r2_hidden(esk4_2(X1,k3_xboole_0(X2,X3)),X3)
| ~ r2_hidden(esk4_2(X1,k3_xboole_0(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,plain,
( r2_hidden(esk4_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_69,negated_conjecture,
( r2_hidden(X1,esk1_0)
| ~ r2_hidden(X1,k9_relat_1(esk3_0,esk2_0)) ),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_70,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k3_xboole_0(X3,X2)) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_71,plain,
( k1_funct_5(X1) = k10_relset_1(X2,X3,k6_relset_1(X3,X2,X1),X2)
| ~ m2_relset_1(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_72,plain,
( m1_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_55]) ).
cnf(c_0_73,negated_conjecture,
( k9_relat_1(k5_relat_1(esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m1_subset_1(k6_relset_1(esk2_0,esk1_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_74,plain,
! [X276,X277,X278] :
( ~ v1_relat_1(X277)
| ~ v1_relat_1(X278)
| k9_relat_1(k5_relat_1(X277,X278),X276) = k9_relat_1(X278,k9_relat_1(X277,X276)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t159_relat_1])])]) ).
cnf(c_0_75,plain,
( v1_relat_1(k4_relat_1(X1))
| ~ m1_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_76,plain,
( k9_relat_1(k4_relat_1(X1),X4) = k9_relat_1(k4_relat_1(X1),k3_xboole_0(X4,k2_funct_5(X1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_77,plain,
! [X168,X169] :
( ( r1_tarski(X168,X169)
| X168 != X169 )
& ( r1_tarski(X169,X168)
| X168 != X169 )
& ( ~ r1_tarski(X168,X169)
| ~ r1_tarski(X169,X168)
| X168 = X169 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(c_0_78,plain,
( r1_tarski(X1,k3_xboole_0(X2,X1))
| ~ r2_hidden(esk4_2(X1,k3_xboole_0(X2,X1)),X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_79,negated_conjecture,
( r1_tarski(k9_relat_1(esk3_0,esk2_0),X1)
| r2_hidden(esk4_2(k9_relat_1(esk3_0,esk2_0),X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_68]) ).
cnf(c_0_80,plain,
( r1_tarski(k3_xboole_0(X1,X2),X3)
| r2_hidden(esk4_2(k3_xboole_0(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_68]) ).
cnf(c_0_81,plain,
( k9_relat_1(k6_relset_1(X1,X2,X3),X2) = k1_funct_5(X3)
| ~ m1_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| ~ m2_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_71]) ).
cnf(c_0_82,plain,
( m1_relset_1(k4_relat_1(X1),X2,X3)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_65]) ).
cnf(c_0_83,negated_conjecture,
( k9_relat_1(k5_relat_1(esk3_0,k4_relat_1(esk3_0)),esk2_0) != k10_relset_1(esk1_0,esk2_0,k4_relat_1(esk3_0),esk1_0)
| ~ m1_subset_1(k4_relat_1(esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_65]),c_0_32])]) ).
cnf(c_0_84,plain,
( k9_relat_1(k5_relat_1(X1,X2),X3) = k9_relat_1(X2,k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,negated_conjecture,
v1_relat_1(k4_relat_1(esk3_0)),
inference(spm,[status(thm)],[c_0_75,c_0_32]) ).
cnf(c_0_86,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_54,c_0_30]) ).
cnf(c_0_87,plain,
( k9_relat_1(k4_relat_1(X1),k3_xboole_0(X2,k2_funct_5(X1))) = k9_relat_1(k4_relat_1(X1),X2)
| ~ m2_relset_1(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_76,c_0_45]) ).
cnf(c_0_88,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_89,negated_conjecture,
r1_tarski(k9_relat_1(esk3_0,esk2_0),k3_xboole_0(esk1_0,k9_relat_1(esk3_0,esk2_0))),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_90,plain,
r1_tarski(k3_xboole_0(X1,X2),X2),
inference(spm,[status(thm)],[c_0_57,c_0_80]) ).
cnf(c_0_91,plain,
( k9_relat_1(k4_relat_1(X1),X2) = k1_funct_5(X1)
| ~ m1_relset_1(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_65]),c_0_28]),c_0_82]) ).
cnf(c_0_92,negated_conjecture,
( k9_relat_1(k4_relat_1(esk3_0),k9_relat_1(esk3_0,esk2_0)) != k10_relset_1(esk1_0,esk2_0,k4_relat_1(esk3_0),esk1_0)
| ~ m1_subset_1(k4_relat_1(esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86])]) ).
cnf(c_0_93,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),k3_xboole_0(X1,k9_relat_1(esk3_0,esk2_0))) = k9_relat_1(k4_relat_1(esk3_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_30]),c_0_60]) ).
cnf(c_0_94,negated_conjecture,
k3_xboole_0(esk1_0,k9_relat_1(esk3_0,esk2_0)) = k9_relat_1(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
cnf(c_0_95,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),esk1_0) = k1_funct_5(esk3_0),
inference(spm,[status(thm)],[c_0_91,c_0_32]) ).
cnf(c_0_96,negated_conjecture,
( k9_relat_1(k4_relat_1(esk3_0),k9_relat_1(esk3_0,esk2_0)) != k10_relset_1(esk1_0,esk2_0,k4_relat_1(esk3_0),esk1_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m2_relset_1(k4_relat_1(esk3_0),esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_45]) ).
cnf(c_0_97,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),k9_relat_1(esk3_0,esk2_0)) = k1_funct_5(esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_98,negated_conjecture,
( k10_relset_1(esk1_0,esk2_0,k4_relat_1(esk3_0),esk1_0) != k1_funct_5(esk3_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m2_relset_1(k4_relat_1(esk3_0),esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_99,plain,
( k10_relset_1(X1,X2,k4_relat_1(X3),X1) = k1_funct_5(X3)
| ~ m1_relset_1(X3,X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_65]),c_0_28]) ).
cnf(c_0_100,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m2_relset_1(k4_relat_1(esk3_0),esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_32])]) ).
cnf(c_0_101,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_65]) ).
cnf(c_0_102,negated_conjecture,
~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_32])]) ).
cnf(c_0_103,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_45]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU445+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.07 % 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
% 0.08/0.26 % Computer : n024.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Mon May 4 22:18:26 EDT 2026
% 0.08/0.26 % CPUTime :
% 0.08/0.26 % start to proof: theBenchmark
% 69.77/41.04 % Version : CSE_E---1.7
% 69.77/41.04 % Problem : theBenchmark.p
% 69.77/41.04 % SZS status Theorem for theBenchmark.p
% 69.77/41.04 % SZS output start CNFRefutation
% See solution above
% 70.05/41.30 % Total time : 30.404s
%------------------------------------------------------------------------------