%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU427+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 05:12:17 PM UTC 2026
% Result : Theorem 8.67s 5.85s
% Output : CNFRefutation 8.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 17 unt; 0 def)
% Number of atoms : 137 ( 43 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 133 ( 55 ~; 49 |; 11 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-4 aty)
% Number of variables : 132 ( 2 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X5),k3_pua2mss1(X3)) = k1_xboole_0
=> k8_relset_2(X1,X2,k4_subset_1(X1,X3,X4),X5) = k8_relset_2(X1,X2,X4,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_relset_2) ).
fof(redefinition_k4_relset_2,axiom,
! [X1,X2,X3,X4] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
=> k4_relset_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_2) ).
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(dt_k6_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
=> ( v1_funct_1(k6_relset_2(X1,X2,X3))
& v1_funct_2(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1))
& m2_relset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_2) ).
fof(t153_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> k9_relat_1(X3,k2_xboole_0(X1,X2)) = k2_xboole_0(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t153_relat_1) ).
fof(t1_boole,axiom,
! [X1] : k2_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
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(d4_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)))
=> k7_relset_2(X1,X2,X3,X4) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relset_2) ).
fof(t3_relset_2,axiom,
! [X1,X2] : k3_pua2mss1(k2_xboole_0(X1,X2)) = k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_relset_2) ).
fof(redefinition_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))) )
=> k8_relset_2(X1,X2,X3,X4) = k7_relset_2(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_relset_2) ).
fof(redefinition_k4_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(dt_k4_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_subset_1) ).
fof(c_0_13,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X5),k3_pua2mss1(X3)) = k1_xboole_0
=> k8_relset_2(X1,X2,k4_subset_1(X1,X3,X4),X5) = k8_relset_2(X1,X2,X4,X5) ) ) ) ),
inference(assume_negation,[status(cth)],[t26_relset_2]) ).
fof(c_0_14,negated_conjecture,
( m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
& k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0
& k8_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_15,plain,
! [X199,X200,X201,X202] :
( ~ m1_subset_1(X201,k1_zfmisc_1(k2_zfmisc_1(X199,k1_zfmisc_1(X200))))
| k4_relset_2(X199,X200,X201,X202) = k9_relat_1(X201,X202) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_2])]) ).
fof(c_0_16,plain,
! [X165,X166,X167] :
( ~ m2_relset_1(X167,X165,X166)
| m1_subset_1(X167,k1_zfmisc_1(k2_zfmisc_1(X165,X166))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_17,plain,
! [X154,X155,X156] :
( ( v1_funct_1(k6_relset_2(X154,X155,X156))
| ~ m1_subset_1(X156,k1_zfmisc_1(k2_zfmisc_1(X155,X154))) )
& ( v1_funct_2(k6_relset_2(X154,X155,X156),k1_zfmisc_1(X155),k1_zfmisc_1(X154))
| ~ m1_subset_1(X156,k1_zfmisc_1(k2_zfmisc_1(X155,X154))) )
& ( m2_relset_1(k6_relset_2(X154,X155,X156),k1_zfmisc_1(X155),k1_zfmisc_1(X154))
| ~ m1_subset_1(X156,k1_zfmisc_1(k2_zfmisc_1(X155,X154))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_2])])]) ).
fof(c_0_18,plain,
! [X217,X218,X219] :
( ~ v1_relat_1(X219)
| k9_relat_1(X219,k2_xboole_0(X217,X218)) = k2_xboole_0(k9_relat_1(X219,X217),k9_relat_1(X219,X218)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t153_relat_1])]) ).
cnf(c_0_19,negated_conjecture,
k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( k4_relset_2(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X220] : k2_xboole_0(X220,k1_xboole_0) = X220,
inference(variable_rename,[status(thm)],[t1_boole]) ).
fof(c_0_22,plain,
! [X132,X133,X134] :
( ~ m1_subset_1(X134,k1_zfmisc_1(k2_zfmisc_1(X132,X133)))
| v1_relat_1(X134) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_23,plain,
! [X140,X141,X142,X143] :
( ~ m1_subset_1(X142,k1_zfmisc_1(X140))
| ~ m1_subset_1(X143,k1_zfmisc_1(k2_zfmisc_1(X140,X141)))
| k7_relset_2(X140,X141,X142,X143) = k8_setfam_1(X141,k4_relset_2(k1_zfmisc_1(X140),X141,k6_relset_2(X141,X140,X143),k3_pua2mss1(X142))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relset_2])])]) ).
cnf(c_0_24,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_16]) ).
cnf(c_0_25,plain,
( m2_relset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( k9_relat_1(X1,k2_xboole_0(X2,X3)) = k2_xboole_0(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
( k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,plain,
k2_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,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]) ).
fof(c_0_30,plain,
! [X225,X226] : k3_pua2mss1(k2_xboole_0(X225,X226)) = k2_xboole_0(k3_pua2mss1(X225),k3_pua2mss1(X226)),
inference(variable_rename,[status(thm)],[t3_relset_2]) ).
cnf(c_0_31,plain,
( k7_relset_2(X2,X4,X1,X3) = k8_setfam_1(X4,k4_relset_2(k1_zfmisc_1(X2),X4,k6_relset_2(X4,X2,X3),k3_pua2mss1(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_23]) ).
cnf(c_0_32,plain,
( m1_subset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X2),k1_zfmisc_1(X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k2_xboole_0(X1,k3_pua2mss1(esk3_0))) = k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),X1)
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0)))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_34,plain,
k3_pua2mss1(k2_xboole_0(X1,X2)) = k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( k8_setfam_1(X1,k9_relat_1(k6_relset_2(X1,X2,X3),k3_pua2mss1(X4))) = k7_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_31,c_0_20]),c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(k2_xboole_0(X1,esk3_0))) = k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(X1))
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0)))) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_38,plain,
! [X209,X210,X211,X212] :
( ~ m1_subset_1(X211,k1_zfmisc_1(X209))
| ~ m1_subset_1(X212,k1_zfmisc_1(k2_zfmisc_1(X209,X210)))
| k8_relset_2(X209,X210,X211,X212) = k7_relset_2(X209,X210,X211,X212) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_relset_2])]) ).
cnf(c_0_39,negated_conjecture,
( k8_setfam_1(esk2_0,k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(X1))) = k7_relset_2(esk1_0,esk2_0,k2_xboole_0(X1,esk3_0),esk5_0)
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| ~ m1_subset_1(k2_xboole_0(X1,esk3_0),k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_40,plain,
( k8_relset_2(X2,X4,X1,X3) = k7_relset_2(X2,X4,X1,X3)
| ~ 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_38]) ).
cnf(c_0_41,negated_conjecture,
( k7_relset_2(esk1_0,esk2_0,k2_xboole_0(X1,esk3_0),esk5_0) = k7_relset_2(esk1_0,esk2_0,X1,esk5_0)
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| ~ m1_subset_1(k2_xboole_0(X1,esk3_0),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_39]),c_0_37])]) ).
fof(c_0_42,plain,
! [X203,X204,X205] :
( ~ m1_subset_1(X204,k1_zfmisc_1(X203))
| ~ m1_subset_1(X205,k1_zfmisc_1(X203))
| k4_subset_1(X203,X204,X205) = k2_xboole_0(X204,X205) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])]) ).
cnf(c_0_43,negated_conjecture,
( k8_relset_2(esk1_0,esk2_0,k2_xboole_0(X1,esk3_0),esk5_0) = k7_relset_2(esk1_0,esk2_0,X1,esk5_0)
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| ~ m1_subset_1(k2_xboole_0(X1,esk3_0),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_37])]) ).
fof(c_0_44,plain,
! [X135,X136] : k2_xboole_0(X135,X136) = k2_xboole_0(X136,X135),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
cnf(c_0_45,negated_conjecture,
k8_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_46,plain,
( k4_subset_1(X2,X1,X3) = k2_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_48,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_49,negated_conjecture,
( k8_relset_2(esk1_0,esk2_0,k2_xboole_0(X1,esk3_0),esk5_0) = k7_relset_2(esk1_0,esk2_0,X1,esk5_0)
| ~ m1_subset_1(k2_xboole_0(X1,esk3_0),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_32]),c_0_37])]) ).
cnf(c_0_50,plain,
k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
k8_relset_2(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_52,negated_conjecture,
( k8_relset_2(esk1_0,esk2_0,k2_xboole_0(esk3_0,X1),esk5_0) = k7_relset_2(esk1_0,esk2_0,X1,esk5_0)
| ~ m1_subset_1(k2_xboole_0(esk3_0,X1),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_53,plain,
! [X149,X150,X151] :
( ~ m1_subset_1(X150,k1_zfmisc_1(X149))
| ~ m1_subset_1(X151,k1_zfmisc_1(X149))
| m1_subset_1(k4_subset_1(X149,X150,X151),k1_zfmisc_1(X149)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_subset_1])]) ).
cnf(c_0_54,negated_conjecture,
( k7_relset_2(esk1_0,esk2_0,esk4_0,esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)
| ~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_47])]) ).
cnf(c_0_55,plain,
( m1_subset_1(k4_subset_1(X2,X1,X3),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_56,negated_conjecture,
~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_40]),c_0_37]),c_0_47])]) ).
cnf(c_0_57,plain,
( m1_subset_1(k2_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_55,c_0_46]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_47]),c_0_48])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU427+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.09 % 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
% 0.07/0.29 % Computer : n024.cluster.edu
% 0.07/0.29 % Model : x86_64 x86_64
% 0.07/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.29 % Memory : 8042.1875MB
% 0.07/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.29 % CPULimit : 300
% 0.07/0.29 % WCLimit : 300
% 0.07/0.29 % DateTime : Mon May 4 22:09:26 EDT 2026
% 0.07/0.29 % CPUTime :
% 0.07/0.29 % start to proof: theBenchmark
% 8.67/5.85 % Version : CSE_E---1.7
% 8.67/5.85 % Problem : theBenchmark.p
% 8.67/5.85 % SZS status Theorem for theBenchmark.p
% 8.67/5.85 % SZS output start CNFRefutation
% See solution above
% 8.67/5.88 % Total time : 4.364s
%------------------------------------------------------------------------------