%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU449+2 : 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 : n009.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 05:12:24 PM UTC 2026
% Result : Theorem 156.48s 126.13s
% Output : CNFRefutation 157.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 9 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 126 ( 55 ~; 45 |; 10 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 95 ( 1 sgn 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t63_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X2))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ( r1_tarski(X3,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X5),k6_relset_1(X1,X2,X5)))
& r1_tarski(X4,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)),X5)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_relset_2) ).
fof(t61_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X2))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ( r1_tarski(X3,k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)))
<=> r1_tarski(X4,k8_relset_2(X1,X2,X3,X5)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_relset_2) ).
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(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_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/Axioms/SET007/SET007+16.ax',dt_m2_relset_1) ).
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/Axioms/SET007/SET007+16.ax',dt_k6_relset_1) ).
fof(d1_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
<=> r1_tarski(X3,k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',d1_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/Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1) ).
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(c_0_9,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X2))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ( r1_tarski(X3,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X5),k6_relset_1(X1,X2,X5)))
& r1_tarski(X4,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)),X5)) ) ) ) ),
inference(assume_negation,[status(cth)],[t63_relset_2]) ).
fof(c_0_10,plain,
! [X1674,X1675,X1676,X1677,X1678] :
( ( ~ r1_tarski(X1676,k8_relset_2(X1675,X1674,X1677,k6_relset_1(X1674,X1675,X1678)))
| r1_tarski(X1677,k8_relset_2(X1674,X1675,X1676,X1678))
| ~ m2_relset_1(X1678,X1674,X1675)
| ~ m1_subset_1(X1677,k1_zfmisc_1(X1675))
| ~ m1_subset_1(X1676,k1_zfmisc_1(X1674)) )
& ( ~ r1_tarski(X1677,k8_relset_2(X1674,X1675,X1676,X1678))
| r1_tarski(X1676,k8_relset_2(X1675,X1674,X1677,k6_relset_1(X1674,X1675,X1678)))
| ~ m2_relset_1(X1678,X1674,X1675)
| ~ m1_subset_1(X1677,k1_zfmisc_1(X1675))
| ~ m1_subset_1(X1676,k1_zfmisc_1(X1674)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t61_relset_2])])])]) ).
fof(c_0_11,plain,
! [X1538] : r1_tarski(X1538,X1538),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_12,negated_conjecture,
( m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk4_0,k1_zfmisc_1(esk2_0))
& m2_relset_1(esk5_0,esk1_0,esk2_0)
& ( ~ r1_tarski(esk3_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)))
| ~ r1_tarski(esk4_0,k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_13,plain,
( r1_tarski(X4,k8_relset_2(X3,X2,X1,X5))
| ~ r1_tarski(X1,k8_relset_2(X2,X3,X4,k6_relset_1(X3,X2,X5)))
| ~ m2_relset_1(X5,X3,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( ~ r1_tarski(esk3_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)))
| ~ r1_tarski(esk4_0,k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X4)),X4))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X4)),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
m2_relset_1(esk5_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(esk3_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_20,plain,
( r1_tarski(X4,k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X5)))
| ~ r1_tarski(X1,k8_relset_2(X2,X3,X4,X5))
| ~ m2_relset_1(X5,X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,plain,
! [X1582,X1583,X1584,X1585] :
( ~ m1_subset_1(X1584,k1_zfmisc_1(X1582))
| ~ m1_subset_1(X1585,k1_zfmisc_1(k2_zfmisc_1(X1582,X1583)))
| m1_subset_1(k8_relset_2(X1582,X1583,X1584,X1585),k1_zfmisc_1(X1583)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).
cnf(c_0_23,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_17]),c_0_21]),c_0_14])]) ).
cnf(c_0_24,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_22]) ).
fof(c_0_25,plain,
! [X1737,X1738,X1739] :
( ~ m2_relset_1(X1739,X1737,X1738)
| m1_subset_1(X1739,k1_zfmisc_1(k2_zfmisc_1(X1737,X1738))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_26,negated_conjecture,
( ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_18])]) ).
cnf(c_0_27,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_25]) ).
fof(c_0_28,plain,
! [X1656,X1657,X1658] :
( ~ m1_relset_1(X1658,X1656,X1657)
| m2_relset_1(k6_relset_1(X1656,X1657,X1658),X1657,X1656) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).
cnf(c_0_29,negated_conjecture,
( ~ m2_relset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),esk2_0,esk1_0)
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,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_28]) ).
fof(c_0_31,plain,
! [X2334,X2335,X2336] :
( ( ~ m1_relset_1(X2336,X2334,X2335)
| r1_tarski(X2336,k2_zfmisc_1(X2334,X2335)) )
& ( ~ r1_tarski(X2336,k2_zfmisc_1(X2334,X2335))
| m1_relset_1(X2336,X2334,X2335) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relset_1])]) ).
fof(c_0_32,plain,
! [X2340,X2341,X2342] :
( ( ~ m2_relset_1(X2342,X2340,X2341)
| m1_relset_1(X2342,X2340,X2341) )
& ( ~ m1_relset_1(X2342,X2340,X2341)
| m2_relset_1(X2342,X2340,X2341) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_33,negated_conjecture,
( ~ m1_relset_1(esk5_0,esk1_0,esk2_0)
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
( r1_tarski(X1,k2_zfmisc_1(X2,X3))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,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))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_24]),c_0_21])]) ).
fof(c_0_37,plain,
! [X1726,X1727] :
( ( ~ m1_subset_1(X1726,k1_zfmisc_1(X1727))
| r1_tarski(X1726,X1727) )
& ( ~ r1_tarski(X1726,X1727)
| m1_subset_1(X1726,k1_zfmisc_1(X1727)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_38,plain,
( r1_tarski(X1,k2_zfmisc_1(X2,X3))
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,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_36,c_0_35]),c_0_17])]) ).
cnf(c_0_40,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,negated_conjecture,
r1_tarski(esk5_0,k2_zfmisc_1(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_38,c_0_17]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU449+2 : 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
% 0.16/0.34 % Computer : n009.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 03:20:11 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 62.95/32.65 % Warning 104: No lemmas were extracted from the log file '/export/starexec/sandbox2/solver/bin/output/initial_lemmas_CSE.log'. Continuing with baseline prover only.
% 156.48/126.13 % Version : CSE_E---1.7
% 156.48/126.13 % Problem : theBenchmark.p
% 156.48/126.13 % SZS status Theorem for theBenchmark.p
% 156.48/126.13 % SZS output start CNFRefutation
% See solution above
% 157.25/126.95 % Total time : 94.866s
%------------------------------------------------------------------------------