%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU447+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 4.55s 3.29s
% Output : CNFRefutation 4.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 70 ( 8 unt; 0 def)
% Number of atoms : 179 ( 33 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 203 ( 94 ~; 80 |; 7 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-5 aty)
% Number of variables : 191 ( 10 sgn 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t59_relset_2,conjecture,
! [X1,X2,X3,X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ! [X6] :
( m2_relset_1(X6,X2,X3)
=> k8_relset_2(X2,X3,k10_relset_1(X1,X2,X5,X4),X6) = k8_relset_2(X1,X3,X4,k3_subset_1(k2_zfmisc_1(X1,X3),k9_relset_2(X1,X2,X3,X5,k3_subset_1(k2_zfmisc_1(X2,X3),X6)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_relset_2) ).
fof(t50_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> k3_subset_1(X2,k10_relset_1(X1,X2,X4,X3)) = k8_relset_2(X1,X2,X3,k3_subset_1(k2_zfmisc_1(X1,X2),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_relset_2) ).
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(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(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_k3_subset_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> m1_subset_1(k3_subset_1(X1,X2),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_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(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(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(t49_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> k3_subset_1(X2,k8_relset_2(X1,X2,X3,X4)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X1,X2),X4),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_relset_2) ).
fof(involutiveness_k3_subset_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> k3_subset_1(X1,k3_subset_1(X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(dt_k8_relset_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relset_2) ).
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(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(c_0_14,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ! [X6] :
( m2_relset_1(X6,X2,X3)
=> k8_relset_2(X2,X3,k10_relset_1(X1,X2,X5,X4),X6) = k8_relset_2(X1,X3,X4,k3_subset_1(k2_zfmisc_1(X1,X3),k9_relset_2(X1,X2,X3,X5,k3_subset_1(k2_zfmisc_1(X2,X3),X6)))) ) ) ),
inference(assume_negation,[status(cth)],[t59_relset_2]) ).
fof(c_0_15,negated_conjecture,
( m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0))
& m2_relset_1(esk5_0,esk1_0,esk2_0)
& m2_relset_1(esk6_0,esk2_0,esk3_0)
& k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_16,plain,
! [X262,X263,X264,X265] :
( ~ m1_subset_1(X264,k1_zfmisc_1(X262))
| ~ m2_relset_1(X265,X262,X263)
| k3_subset_1(X263,k10_relset_1(X262,X263,X265,X264)) = k8_relset_2(X262,X263,X264,k3_subset_1(k2_zfmisc_1(X262,X263),X265)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t50_relset_2])])]) ).
cnf(c_0_17,negated_conjecture,
k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( k3_subset_1(X4,k10_relset_1(X2,X4,X3,X1)) = k8_relset_2(X2,X4,X1,k3_subset_1(k2_zfmisc_1(X2,X4),X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m2_relset_1(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X222,X223,X224,X225] :
( ~ m1_relset_1(X224,X222,X223)
| k10_relset_1(X222,X223,X224,X225) = k9_relat_1(X224,X225) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])]) ).
fof(c_0_21,plain,
! [X242,X243,X244] :
( ( ~ m2_relset_1(X244,X242,X243)
| m1_relset_1(X244,X242,X243) )
& ( ~ m1_relset_1(X244,X242,X243)
| m2_relset_1(X244,X242,X243) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_22,plain,
! [X150,X151,X152] :
( ~ m1_subset_1(X152,k1_zfmisc_1(k2_zfmisc_1(X150,X151)))
| v1_relat_1(X152) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_23,plain,
! [X162,X163] :
( ~ m1_subset_1(X163,k1_zfmisc_1(X162))
| m1_subset_1(k3_subset_1(X162,X163),k1_zfmisc_1(X162)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).
fof(c_0_24,plain,
! [X188,X189,X190] :
( ~ m2_relset_1(X190,X188,X189)
| m1_subset_1(X190,k1_zfmisc_1(k2_zfmisc_1(X188,X189))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_25,negated_conjecture,
( k3_subset_1(esk3_0,k10_relset_1(esk1_0,esk3_0,k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0)
| ~ m2_relset_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_26,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_20]) ).
cnf(c_0_27,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X237,X238,X239,X240,X241] :
( ~ m1_subset_1(X240,k1_zfmisc_1(k2_zfmisc_1(X237,X238)))
| ~ m1_subset_1(X241,k1_zfmisc_1(k2_zfmisc_1(X238,X239)))
| k9_relset_2(X237,X238,X239,X240,X241) = k5_relat_1(X240,X241) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])]) ).
fof(c_0_29,plain,
! [X246,X247,X248] :
( ~ v1_relat_1(X247)
| ~ v1_relat_1(X248)
| k9_relat_1(k5_relat_1(X247,X248),X246) = k9_relat_1(X248,k9_relat_1(X247,X246)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t159_relat_1])])]) ).
fof(c_0_30,plain,
! [X255,X256,X257,X258] :
( ~ m1_subset_1(X257,k1_zfmisc_1(X255))
| ~ m1_subset_1(X258,k1_zfmisc_1(k2_zfmisc_1(X255,X256)))
| k3_subset_1(X256,k8_relset_2(X255,X256,X257,X258)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X255,X256),X258),X257) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t49_relset_2])])]) ).
cnf(c_0_31,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( m1_subset_1(k3_subset_1(X2,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,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_24]) ).
fof(c_0_34,plain,
! [X210,X211] :
( ~ m1_subset_1(X211,k1_zfmisc_1(X210))
| k3_subset_1(X210,k3_subset_1(X210,X211)) = X211 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).
fof(c_0_35,plain,
! [X175,X176,X177,X178] :
( ~ m1_subset_1(X177,k1_zfmisc_1(X175))
| ~ m1_subset_1(X178,k1_zfmisc_1(k2_zfmisc_1(X175,X176)))
| m1_subset_1(k8_relset_2(X175,X176,X177,X178),k1_zfmisc_1(X176)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).
cnf(c_0_36,negated_conjecture,
( k3_subset_1(esk3_0,k9_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0)
| ~ m1_relset_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_37,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_28]) ).
cnf(c_0_38,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_29]) ).
cnf(c_0_39,plain,
( k3_subset_1(X4,k8_relset_2(X2,X4,X1,X3)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X2,X4),X3),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
( v1_relat_1(k3_subset_1(k2_zfmisc_1(X1,X2),X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
m2_relset_1(esk5_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_43,plain,
( k3_subset_1(X2,k3_subset_1(X2,X1)) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
( m1_subset_1(k8_relset_2(X2,X4,X1,X3),k1_zfmisc_1(X4))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_45,plain,
! [X157,X158,X159,X160] :
( ~ m1_relset_1(X159,X157,X158)
| m1_subset_1(k10_relset_1(X157,X158,X159,X160),k1_zfmisc_1(X158)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_relset_1])]) ).
cnf(c_0_46,negated_conjecture,
( k3_subset_1(esk3_0,k9_relat_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0)
| ~ m1_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_47,plain,
( k3_subset_1(X1,k8_relset_2(X2,X1,k9_relat_1(X3,X4),X5)) = k9_relat_1(k5_relat_1(X3,k3_subset_1(k2_zfmisc_1(X2,X1),X5)),X4)
| ~ v1_relat_1(X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m1_subset_1(k9_relat_1(X3,X4),k1_zfmisc_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_48,negated_conjecture,
v1_relat_1(esk5_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
( k3_subset_1(X1,k9_relat_1(k3_subset_1(k2_zfmisc_1(X2,X1),X3),X4)) = k8_relset_2(X2,X1,X4,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_39]),c_0_44]) ).
cnf(c_0_50,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_45]) ).
cnf(c_0_51,negated_conjecture,
( k3_subset_1(esk3_0,k3_subset_1(esk3_0,k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0))) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0)
| ~ m1_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_subset_1(k9_relat_1(esk5_0,esk4_0),k1_zfmisc_1(esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),c_0_32]) ).
cnf(c_0_52,plain,
( k3_subset_1(X1,k3_subset_1(X1,k8_relset_2(X2,X1,X3,X4))) = k8_relset_2(X2,X1,X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_49,c_0_39]) ).
cnf(c_0_53,plain,
( m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(X3))
| ~ m1_relset_1(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_26]) ).
cnf(c_0_54,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_55,plain,
! [X181,X182,X183,X184,X185] :
( ~ m1_subset_1(X184,k1_zfmisc_1(k2_zfmisc_1(X181,X182)))
| ~ m1_subset_1(X185,k1_zfmisc_1(k2_zfmisc_1(X182,X183)))
| m2_relset_1(k9_relset_2(X181,X182,X183,X184,X185),X181,X183) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])]) ).
cnf(c_0_56,negated_conjecture,
( k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0)
| ~ m1_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_subset_1(k9_relat_1(esk5_0,esk4_0),k1_zfmisc_1(esk2_0)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
( m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(X3))
| ~ m2_relset_1(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,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_55]) ).
cnf(c_0_59,negated_conjecture,
( k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0)
| ~ m2_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_subset_1(k9_relat_1(esk5_0,esk4_0),k1_zfmisc_1(esk2_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_54]) ).
cnf(c_0_60,negated_conjecture,
m1_subset_1(k9_relat_1(esk5_0,X1),k1_zfmisc_1(esk2_0)),
inference(spm,[status(thm)],[c_0_57,c_0_42]) ).
cnf(c_0_61,plain,
( m2_relset_1(k5_relat_1(X1,X2),X3,X4)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X5,X4)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(spm,[status(thm)],[c_0_58,c_0_37]) ).
cnf(c_0_62,negated_conjecture,
( k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0)
| ~ m2_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]) ).
cnf(c_0_63,plain,
( m2_relset_1(k5_relat_1(X1,k3_subset_1(k2_zfmisc_1(X2,X3),X4)),X5,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X5,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(spm,[status(thm)],[c_0_61,c_0_32]) ).
cnf(c_0_64,negated_conjecture,
( k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0)
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_65,negated_conjecture,
( ~ m1_relset_1(esk5_0,esk1_0,esk2_0)
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_64,c_0_26]) ).
cnf(c_0_66,negated_conjecture,
( ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_54]),c_0_42])]) ).
cnf(c_0_67,negated_conjecture,
m2_relset_1(esk6_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_68,negated_conjecture,
~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_33]),c_0_67])]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_33]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU447+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.08 % 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
% 0.07/0.27 % Computer : n024.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Mon May 4 22:19:11 EDT 2026
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % start to proof: theBenchmark
% 4.55/3.29 % Version : CSE_E---1.7
% 4.55/3.29 % Problem : theBenchmark.p
% 4.55/3.29 % SZS status Theorem for theBenchmark.p
% 4.55/3.29 % SZS output start CNFRefutation
% See solution above
% 4.65/3.30 % Total time : 2.364s
%------------------------------------------------------------------------------