%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU432+3 : 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 : n027.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 05:12:19 PM UTC 2026
% Result : Theorem 18.04s 17.00s
% Output : CNFRefutation 18.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 67 ( 22 unt; 0 def)
% Number of atoms : 188 ( 15 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 210 ( 89 ~; 77 |; 17 &)
% ( 7 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 139 ( 6 sgn 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t33_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)))
=> r1_tarski(k4_subset_1(X2,k8_relset_2(X1,X2,X3,X5),k8_relset_2(X1,X2,X4,X5)),k8_relset_2(X1,X2,k5_subset_1(X1,X3,X4),X5)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_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/Axioms/SET007/SET007+7.ax',redefinition_k4_subset_1) ).
fof(t8_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X3,X2) )
=> r1_tarski(k2_xboole_0(X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t8_xboole_1) ).
fof(t32_relset_2,axiom,
! [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)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X1,X2,X4,X5),k8_relset_2(X1,X2,X3,X5)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_relset_2) ).
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(d1_zfmisc_1,axiom,
! [X1,X2] :
( X2 = k1_zfmisc_1(X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> r1_tarski(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',d1_zfmisc_1) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',fc1_subset_1) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t1_xboole_1) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k5_subset_1) ).
fof(t17_xboole_1,axiom,
! [X1,X2] : r1_tarski(k3_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t17_xboole_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k3_xboole_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(t108_xboole_1,axiom,
! [X1,X2,X3] :
( r1_tarski(X1,X2)
=> r1_tarski(k3_xboole_0(X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t108_xboole_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
fof(c_0_15,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)))
=> r1_tarski(k4_subset_1(X2,k8_relset_2(X1,X2,X3,X5),k8_relset_2(X1,X2,X4,X5)),k8_relset_2(X1,X2,k5_subset_1(X1,X3,X4),X5)) ) ) ),
inference(assume_negation,[status(cth)],[t33_relset_2]) ).
fof(c_0_16,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)))
& ~ r1_tarski(k4_subset_1(esk2_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_17,plain,
! [X1616,X1617,X1618] :
( ~ m1_subset_1(X1617,k1_zfmisc_1(X1616))
| ~ m1_subset_1(X1618,k1_zfmisc_1(X1616))
| k4_subset_1(X1616,X1617,X1618) = k2_xboole_0(X1617,X1618) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])]) ).
cnf(c_0_18,negated_conjecture,
~ r1_tarski(k4_subset_1(esk2_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,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_17]) ).
fof(c_0_20,plain,
! [X2519,X2520,X2521] :
( ~ r1_tarski(X2519,X2520)
| ~ r1_tarski(X2521,X2520)
| r1_tarski(k2_xboole_0(X2519,X2521),X2520) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])]) ).
cnf(c_0_21,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ r1_tarski(k2_xboole_0(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( r1_tarski(k2_xboole_0(X1,X3),X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_23,plain,
! [X1542,X1543,X1544,X1545,X1546] :
( ~ m1_subset_1(X1544,k1_zfmisc_1(X1542))
| ~ m1_subset_1(X1545,k1_zfmisc_1(X1542))
| ~ m1_subset_1(X1546,k1_zfmisc_1(k2_zfmisc_1(X1542,X1543)))
| ~ r1_tarski(X1544,X1545)
| r1_tarski(k8_relset_2(X1542,X1543,X1545,X1546),k8_relset_2(X1542,X1543,X1544,X1546)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t32_relset_2])])]) ).
cnf(c_0_24,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0))
| ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
( r1_tarski(k8_relset_2(X2,X5,X3,X4),k8_relset_2(X2,X5,X1,X4))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X5)))
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_30,plain,
! [X1516,X1517,X1518,X1519] :
( ~ m1_subset_1(X1518,k1_zfmisc_1(X1516))
| ~ m1_subset_1(X1519,k1_zfmisc_1(k2_zfmisc_1(X1516,X1517)))
| m1_subset_1(k8_relset_2(X1516,X1517,X1518,X1519),k1_zfmisc_1(X1517)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).
fof(c_0_31,plain,
! [X1459,X1460,X1461,X1462,X1463,X1464] :
( ( ~ r2_hidden(X1461,X1460)
| r1_tarski(X1461,X1459)
| X1460 != k1_zfmisc_1(X1459) )
& ( ~ r1_tarski(X1462,X1459)
| r2_hidden(X1462,X1460)
| X1460 != k1_zfmisc_1(X1459) )
& ( ~ r2_hidden(esk7_2(X1463,X1464),X1464)
| ~ r1_tarski(esk7_2(X1463,X1464),X1463)
| X1464 = k1_zfmisc_1(X1463) )
& ( r2_hidden(esk7_2(X1463,X1464),X1464)
| r1_tarski(esk7_2(X1463,X1464),X1463)
| X1464 = k1_zfmisc_1(X1463) ) ),
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)],[d1_zfmisc_1])])])])])]) ).
fof(c_0_32,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_33,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
cnf(c_0_34,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_26]),c_0_29])]) ).
cnf(c_0_35,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_30]) ).
fof(c_0_36,plain,
! [X1456,X1457,X1458] :
( ~ r1_tarski(X1456,X1457)
| ~ r1_tarski(X1457,X1458)
| r1_tarski(X1456,X1458) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
cnf(c_0_37,plain,
( r1_tarski(X1,X3)
| ~ r2_hidden(X1,X2)
| X2 != k1_zfmisc_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_38,plain,
! [X1727,X1728] :
( ( ~ m1_subset_1(X1728,X1727)
| r2_hidden(X1728,X1727)
| v1_xboole_0(X1727) )
& ( ~ r2_hidden(X1728,X1727)
| m1_subset_1(X1728,X1727)
| v1_xboole_0(X1727) )
& ( ~ m1_subset_1(X1728,X1727)
| v1_xboole_0(X1728)
| ~ v1_xboole_0(X1727) )
& ( ~ v1_xboole_0(X1728)
| m1_subset_1(X1728,X1727)
| ~ v1_xboole_0(X1727) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_39,plain,
! [X1640] : ~ v1_xboole_0(k1_zfmisc_1(X1640)),
inference(variable_rename,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_26]),c_0_27])]) ).
fof(c_0_41,plain,
! [X1561,X1562,X1563] :
( ~ m1_subset_1(X1562,k1_zfmisc_1(X1561))
| ~ m1_subset_1(X1563,k1_zfmisc_1(X1561))
| k5_subset_1(X1561,X1562,X1563) = k3_xboole_0(X1562,X1563) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
fof(c_0_42,plain,
! [X2080,X2081] : r1_tarski(k3_xboole_0(X2080,X2081),X2080),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(c_0_43,plain,
! [X2073,X2074] : k3_xboole_0(X2073,X2074) = k3_xboole_0(X2074,X2073),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_44,plain,
( r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(X1,k1_zfmisc_1(X2)) ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,negated_conjecture,
( ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_35]),c_0_26]),c_0_29])]) ).
cnf(c_0_49,plain,
( k5_subset_1(X2,X1,X3) = k3_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_41]) ).
cnf(c_0_50,plain,
r1_tarski(k3_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_52,plain,
! [X1476,X1477] :
( ( ~ m1_subset_1(X1476,k1_zfmisc_1(X1477))
| r1_tarski(X1476,X1477) )
& ( ~ r1_tarski(X1476,X1477)
| m1_subset_1(X1476,k1_zfmisc_1(X1477)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_53,plain,
! [X2123,X2124,X2125] :
( ~ r1_tarski(X2123,X2124)
| r1_tarski(k3_xboole_0(X2123,X2125),X2124) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t108_xboole_1])]) ).
cnf(c_0_54,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X1,X3)
| ~ r2_hidden(X3,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_55,negated_conjecture,
r2_hidden(esk3_0,k1_zfmisc_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_29]),c_0_47]) ).
fof(c_0_56,plain,
! [X1453] : r1_tarski(X1453,X1453),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_57,negated_conjecture,
( ~ m1_subset_1(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k3_xboole_0(esk3_0,esk4_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_27]),c_0_29])]) ).
cnf(c_0_58,plain,
r1_tarski(k3_xboole_0(X1,X2),X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_59,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_60,plain,
( r1_tarski(k3_xboole_0(X1,X3),X2)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_61,negated_conjecture,
( r1_tarski(X1,esk1_0)
| ~ r1_tarski(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,negated_conjecture,
~ m1_subset_1(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_64,plain,
( m1_subset_1(k3_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ r1_tarski(X1,X3) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
r1_tarski(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU432+3 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 03:13:22 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 18.04/17.00 % Version : CSE_E---1.7
% 18.04/17.00 % Problem : theBenchmark.p
% 18.04/17.00 % SZS status Theorem for theBenchmark.p
% 18.04/17.00 % SZS output start CNFRefutation
% See solution above
% 18.04/17.01 % Total time : 16.243s
%------------------------------------------------------------------------------