%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU425+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n022.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 19.68s 12.46s
% Output : CNFRefutation 19.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% Number of atoms : 134 ( 15 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 164 ( 67 ~; 63 |; 20 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 73 ( 7 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t21_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( v1_funct_1(k5_relset_2(X1,X3))
& v1_funct_2(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3)))
& m2_relset_1(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relset_2) ).
fof(t20_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> r1_tarski(k2_relat_1(k5_relset_2(X1,X3)),k1_zfmisc_1(k2_relat_1(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relset_2) ).
fof(d3_relset_2,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> ( X3 = k5_relset_2(X1,X2)
<=> ( k1_relat_1(X3) = k1_zfmisc_1(X1)
& ! [X4] :
( r1_tarski(X4,X1)
=> k1_funct_1(X3,X4) = k9_relat_1(X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_relset_2) ).
fof(dt_k5_relset_2,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( v1_relat_1(k5_relset_2(X1,X2))
& v1_funct_1(k5_relset_2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relset_2) ).
fof(t14_relset_1,axiom,
! [X1,X2,X3,X4] :
( m2_relset_1(X4,X3,X1)
=> ( r1_tarski(k2_relat_1(X4),X2)
=> m2_relset_1(X4,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t14_relset_1) ).
fof(t24_partfun1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( v1_funct_1(X1)
& m2_relset_1(X1,k1_relat_1(X1),k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t24_partfun1) ).
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/sandbox/benchmark/Axioms/SET007/SET007+16.ax',cc1_relset_1) ).
fof(t4_funct_2,axiom,
! [X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( r1_tarski(k2_relat_1(X2),X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,k1_relat_1(X2),X1)
& m2_relset_1(X2,k1_relat_1(X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t4_funct_2) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( v1_funct_1(k5_relset_2(X1,X3))
& v1_funct_2(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3)))
& m2_relset_1(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3))) ) ),
inference(assume_negation,[status(cth)],[t21_relset_2]) ).
fof(c_0_9,plain,
! [X1650,X1651,X1652] :
( ~ m1_subset_1(X1652,k1_zfmisc_1(k2_zfmisc_1(X1650,X1651)))
| r1_tarski(k2_relat_1(k5_relset_2(X1650,X1652)),k1_zfmisc_1(k2_relat_1(X1652))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relset_2])]) ).
fof(c_0_10,negated_conjecture,
( m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
& ( ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0))
| ~ v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,plain,
! [X1641,X1642,X1643,X1644] :
( ( k1_relat_1(X1643) = k1_zfmisc_1(X1641)
| X1643 != k5_relset_2(X1641,X1642)
| ~ v1_relat_1(X1643)
| ~ v1_funct_1(X1643)
| ~ v1_relat_1(X1642) )
& ( ~ r1_tarski(X1644,X1641)
| k1_funct_1(X1643,X1644) = k9_relat_1(X1642,X1644)
| X1643 != k5_relset_2(X1641,X1642)
| ~ v1_relat_1(X1643)
| ~ v1_funct_1(X1643)
| ~ v1_relat_1(X1642) )
& ( r1_tarski(esk26_3(X1641,X1642,X1643),X1641)
| k1_relat_1(X1643) != k1_zfmisc_1(X1641)
| X1643 = k5_relset_2(X1641,X1642)
| ~ v1_relat_1(X1643)
| ~ v1_funct_1(X1643)
| ~ v1_relat_1(X1642) )
& ( k1_funct_1(X1643,esk26_3(X1641,X1642,X1643)) != k9_relat_1(X1642,esk26_3(X1641,X1642,X1643))
| k1_relat_1(X1643) != k1_zfmisc_1(X1641)
| X1643 = k5_relset_2(X1641,X1642)
| ~ v1_relat_1(X1643)
| ~ v1_funct_1(X1643)
| ~ v1_relat_1(X1642) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_relset_2])])])])]) ).
fof(c_0_12,plain,
! [X1639,X1640] :
( ( v1_relat_1(k5_relset_2(X1639,X1640))
| ~ v1_relat_1(X1640) )
& ( v1_funct_1(k5_relset_2(X1639,X1640))
| ~ v1_relat_1(X1640) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relset_2])])]) ).
fof(c_0_13,plain,
! [X1585,X1586,X1587,X1588] :
( ~ m2_relset_1(X1588,X1587,X1585)
| ~ r1_tarski(k2_relat_1(X1588),X1586)
| m2_relset_1(X1588,X1587,X1586) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t14_relset_1])]) ).
cnf(c_0_14,plain,
( r1_tarski(k2_relat_1(k5_relset_2(X2,X1)),k1_zfmisc_1(k2_relat_1(X1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,plain,
! [X1589] :
( ( v1_funct_1(X1589)
| ~ v1_relat_1(X1589)
| ~ v1_funct_1(X1589) )
& ( m2_relset_1(X1589,k1_relat_1(X1589),k2_relat_1(X1589))
| ~ v1_relat_1(X1589)
| ~ v1_funct_1(X1589) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t24_partfun1])])]) ).
cnf(c_0_17,plain,
( k1_relat_1(X1) = k1_zfmisc_1(X2)
| X1 != k5_relset_2(X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( v1_relat_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( v1_funct_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_20,plain,
! [X1529,X1530,X1531] :
( ~ m1_subset_1(X1531,k1_zfmisc_1(k2_zfmisc_1(X1529,X1530)))
| v1_relat_1(X1531) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_21,plain,
( m2_relset_1(X1,X2,X4)
| ~ m2_relset_1(X1,X2,X3)
| ~ r1_tarski(k2_relat_1(X1),X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
r1_tarski(k2_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_23,plain,
( m2_relset_1(X1,k1_relat_1(X1),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( k1_relat_1(k5_relset_2(X1,X2)) = k1_zfmisc_1(X1)
| ~ v1_relat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_25,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( m2_relset_1(k5_relset_2(esk1_0,esk3_0),X1,k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ m2_relset_1(k5_relset_2(esk1_0,esk3_0),X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( m2_relset_1(k5_relset_2(X1,X2),k1_zfmisc_1(X1),k2_relat_1(k5_relset_2(X1,X2)))
| ~ v1_relat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_18]),c_0_19]) ).
cnf(c_0_28,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
fof(c_0_29,plain,
! [X1600,X1601] :
( ( v1_funct_1(X1601)
| ~ r1_tarski(k2_relat_1(X1601),X1600)
| ~ v1_relat_1(X1601)
| ~ v1_funct_1(X1601) )
& ( v1_funct_2(X1601,k1_relat_1(X1601),X1600)
| ~ r1_tarski(k2_relat_1(X1601),X1600)
| ~ v1_relat_1(X1601)
| ~ v1_funct_1(X1601) )
& ( m2_relset_1(X1601,k1_relat_1(X1601),X1600)
| ~ r1_tarski(k2_relat_1(X1601),X1600)
| ~ v1_relat_1(X1601)
| ~ v1_funct_1(X1601) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_funct_2])])]) ).
cnf(c_0_30,negated_conjecture,
( ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0))
| ~ v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,negated_conjecture,
m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_32,plain,
( v1_funct_2(X1,k1_relat_1(X1),X2)
| ~ r1_tarski(k2_relat_1(X1),X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( ~ v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_34,plain,
( v1_funct_2(k5_relset_2(X1,X2),k1_zfmisc_1(X1),X3)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(k5_relset_2(X1,X2)),X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_18]),c_0_19]) ).
cnf(c_0_35,negated_conjecture,
~ v1_funct_1(k5_relset_2(esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_28]),c_0_22])]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_19]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU425+2 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n022.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 03:09:51 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 19.68/12.46 % Version : CSE_E---1.7
% 19.68/12.46 % Problem : theBenchmark.p
% 19.68/12.46 % SZS status Theorem for theBenchmark.p
% 19.68/12.46 % SZS output start CNFRefutation
% See solution above
% 19.78/12.54 % Total time : 9.674s
%------------------------------------------------------------------------------