%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU242+1 : TPTP v9.2.1. Released v3.3.0.
% 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 : n017.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 05:11:13 PM UTC 2026
% Result : Theorem 1.29s 1.72s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 71 ( 16 unt; 0 def)
% Number of atoms : 244 ( 29 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 293 ( 120 ~; 132 |; 29 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 99 ( 1 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l4_wellord1,conjecture,
! [X1] :
( relation(X1)
=> ( connected(X1)
<=> ! [X2,X3] :
~ ( in(X2,relation_field(X1))
& in(X3,relation_field(X1))
& X2 != X3
& ~ in(ordered_pair(X2,X3),X1)
& ~ in(ordered_pair(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_wellord1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(d6_relat_2,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_connected_in(X1,X2)
<=> ! [X3,X4] :
~ ( in(X3,X2)
& in(X4,X2)
& X3 != X4
& ~ in(ordered_pair(X3,X4),X1)
& ~ in(ordered_pair(X4,X3),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_relat_2) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(d14_relat_2,axiom,
! [X1] :
( relation(X1)
=> ( connected(X1)
<=> is_connected_in(X1,relation_field(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_2) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( connected(X1)
<=> ! [X2,X3] :
~ ( in(X2,relation_field(X1))
& in(X3,relation_field(X1))
& X2 != X3
& ~ in(ordered_pair(X2,X3),X1)
& ~ in(ordered_pair(X3,X2),X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l4_wellord1])]) ).
fof(c_0_9,negated_conjecture,
! [X80,X81] :
( relation(esk4_0)
& ( in(esk5_0,relation_field(esk4_0))
| ~ connected(esk4_0) )
& ( in(esk6_0,relation_field(esk4_0))
| ~ connected(esk4_0) )
& ( esk5_0 != esk6_0
| ~ connected(esk4_0) )
& ( ~ in(ordered_pair(esk5_0,esk6_0),esk4_0)
| ~ connected(esk4_0) )
& ( ~ in(ordered_pair(esk6_0,esk5_0),esk4_0)
| ~ connected(esk4_0) )
& ( connected(esk4_0)
| ~ in(X80,relation_field(esk4_0))
| ~ in(X81,relation_field(esk4_0))
| X80 = X81
| in(ordered_pair(X80,X81),esk4_0)
| in(ordered_pair(X81,X80),esk4_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
fof(c_0_10,plain,
! [X58,X59] : ordered_pair(X58,X59) = unordered_pair(unordered_pair(X58,X59),singleton(X58)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_11,plain,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_connected_in(X1,X2)
<=> ! [X3,X4] :
~ ( in(X3,X2)
& in(X4,X2)
& X3 != X4
& ~ in(ordered_pair(X3,X4),X1)
& ~ in(ordered_pair(X4,X3),X1) ) ) ),
inference(fof_simplification,[status(thm)],[d6_relat_2]) ).
cnf(c_0_12,negated_conjecture,
( connected(esk4_0)
| X1 = X2
| in(ordered_pair(X1,X2),esk4_0)
| in(ordered_pair(X2,X1),esk4_0)
| ~ in(X1,relation_field(esk4_0))
| ~ in(X2,relation_field(esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X53,X54] : unordered_pair(X53,X54) = unordered_pair(X54,X53),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(c_0_15,plain,
! [X61,X62,X63,X64,X65] :
( ( ~ is_connected_in(X61,X62)
| ~ in(X63,X62)
| ~ in(X64,X62)
| X63 = X64
| in(ordered_pair(X63,X64),X61)
| in(ordered_pair(X64,X63),X61)
| ~ relation(X61) )
& ( in(esk1_2(X61,X65),X65)
| is_connected_in(X61,X65)
| ~ relation(X61) )
& ( in(esk2_2(X61,X65),X65)
| is_connected_in(X61,X65)
| ~ relation(X61) )
& ( esk1_2(X61,X65) != esk2_2(X61,X65)
| is_connected_in(X61,X65)
| ~ relation(X61) )
& ( ~ in(ordered_pair(esk1_2(X61,X65),esk2_2(X61,X65)),X61)
| is_connected_in(X61,X65)
| ~ relation(X61) )
& ( ~ in(ordered_pair(esk2_2(X61,X65),esk1_2(X61,X65)),X61)
| is_connected_in(X61,X65)
| ~ relation(X61) ) ),
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)],[c_0_11])])])])])]) ).
cnf(c_0_16,negated_conjecture,
( X1 = X2
| connected(esk4_0)
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk4_0)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk4_0)
| ~ in(X2,relation_field(esk4_0))
| ~ in(X1,relation_field(esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]) ).
cnf(c_0_17,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( in(esk2_2(X1,X2),X2)
| is_connected_in(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
relation(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
( is_connected_in(X1,X2)
| ~ in(ordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( X1 = X2
| connected(esk4_0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),esk4_0)
| in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),esk4_0)
| ~ in(X2,relation_field(esk4_0))
| ~ in(X1,relation_field(esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( is_connected_in(esk4_0,X1)
| in(esk2_2(esk4_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( in(esk1_2(X1,X2),X2)
| is_connected_in(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( is_connected_in(X1,X2)
| ~ in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),singleton(esk2_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[c_0_20,c_0_13]) ).
cnf(c_0_26,negated_conjecture,
( X1 = esk2_2(esk4_0,relation_field(esk4_0))
| is_connected_in(esk4_0,relation_field(esk4_0))
| connected(esk4_0)
| in(unordered_pair(singleton(esk2_2(esk4_0,relation_field(esk4_0))),unordered_pair(esk2_2(esk4_0,relation_field(esk4_0)),X1)),esk4_0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| ~ in(X1,relation_field(esk4_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( is_connected_in(esk4_0,X1)
| in(esk1_2(esk4_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_28,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[c_0_24,c_0_13]) ).
cnf(c_0_29,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk2_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_17]),c_0_17]) ).
cnf(c_0_30,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| is_connected_in(esk4_0,relation_field(esk4_0))
| connected(esk4_0)
| in(unordered_pair(singleton(esk1_2(esk4_0,relation_field(esk4_0))),unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(unordered_pair(singleton(esk2_2(esk4_0,relation_field(esk4_0))),unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_17]) ).
cnf(c_0_31,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[c_0_28,c_0_17]) ).
cnf(c_0_32,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| is_connected_in(esk4_0,relation_field(esk4_0))
| connected(esk4_0)
| in(unordered_pair(singleton(esk1_2(esk4_0,relation_field(esk4_0))),unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_19])]) ).
fof(c_0_33,plain,
! [X88,X89] :
( ~ in(X88,X89)
| element(X88,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_34,plain,
! [X57] :
( ( ~ connected(X57)
| is_connected_in(X57,relation_field(X57))
| ~ relation(X57) )
& ( ~ is_connected_in(X57,relation_field(X57))
| connected(X57)
| ~ relation(X57) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_relat_2])])]) ).
cnf(c_0_35,plain,
( is_connected_in(X1,X2)
| esk1_2(X1,X2) != esk2_2(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_36,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| is_connected_in(esk4_0,relation_field(esk4_0))
| connected(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_19])]) ).
fof(c_0_37,plain,
! [X93,X94] :
( ~ in(X93,X94)
| ~ empty(X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_38,plain,
( X3 = X4
| in(ordered_pair(X3,X4),X1)
| in(ordered_pair(X4,X3),X1)
| ~ is_connected_in(X1,X2)
| ~ in(X3,X2)
| ~ in(X4,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_39,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( in(esk5_0,relation_field(esk4_0))
| ~ connected(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_41,plain,
( connected(X1)
| ~ is_connected_in(X1,relation_field(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,negated_conjecture,
( is_connected_in(esk4_0,relation_field(esk4_0))
| connected(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_19])]) ).
cnf(c_0_43,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( X3 = X4
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X1)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
| ~ relation(X1)
| ~ in(X4,X2)
| ~ in(X3,X2)
| ~ is_connected_in(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_13]),c_0_13]) ).
fof(c_0_45,plain,
! [X90,X91] :
( ~ element(X90,X91)
| empty(X91)
| in(X90,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_46,negated_conjecture,
( element(esk5_0,relation_field(esk4_0))
| ~ connected(esk4_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
connected(esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_19])]) ).
cnf(c_0_48,negated_conjecture,
( is_connected_in(esk4_0,X1)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_27]) ).
cnf(c_0_49,negated_conjecture,
( ~ connected(esk4_0)
| ~ empty(relation_field(esk4_0)) ),
inference(spm,[status(thm)],[c_0_43,c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( ~ in(ordered_pair(esk5_0,esk6_0),esk4_0)
| ~ connected(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_51,negated_conjecture,
( ~ in(ordered_pair(esk6_0,esk5_0),esk4_0)
| ~ connected(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_52,plain,
( X1 = X2
| in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),X3)
| ~ is_connected_in(X3,X4)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_17]),c_0_17]) ).
cnf(c_0_53,plain,
( is_connected_in(X1,relation_field(X1))
| ~ connected(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_54,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,negated_conjecture,
element(esk5_0,relation_field(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).
cnf(c_0_56,negated_conjecture,
~ empty(relation_field(esk4_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_48]),c_0_19])]),c_0_49]) ).
cnf(c_0_57,negated_conjecture,
( ~ connected(esk4_0)
| ~ in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk4_0) ),
inference(rw,[status(thm)],[c_0_50,c_0_13]) ).
cnf(c_0_58,negated_conjecture,
( ~ connected(esk4_0)
| ~ in(unordered_pair(unordered_pair(esk6_0,esk5_0),singleton(esk6_0)),esk4_0) ),
inference(rw,[status(thm)],[c_0_51,c_0_13]) ).
cnf(c_0_59,plain,
( X1 = X2
| in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),X3)
| ~ connected(X3)
| ~ relation(X3)
| ~ in(X2,relation_field(X3))
| ~ in(X1,relation_field(X3)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
in(esk5_0,relation_field(esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_61,negated_conjecture,
( in(esk6_0,relation_field(esk4_0))
| ~ connected(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_62,negated_conjecture,
( esk5_0 != esk6_0
| ~ connected(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_63,negated_conjecture,
( ~ connected(esk4_0)
| ~ in(unordered_pair(singleton(esk5_0),unordered_pair(esk5_0,esk6_0)),esk4_0) ),
inference(rw,[status(thm)],[c_0_57,c_0_17]) ).
cnf(c_0_64,negated_conjecture,
( ~ connected(esk4_0)
| ~ in(unordered_pair(singleton(esk6_0),unordered_pair(esk5_0,esk6_0)),esk4_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_17]),c_0_17]) ).
cnf(c_0_65,negated_conjecture,
( X1 = esk5_0
| in(unordered_pair(singleton(esk5_0),unordered_pair(esk5_0,X1)),esk4_0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk5_0)),esk4_0)
| ~ in(X1,relation_field(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_47]),c_0_19])]) ).
cnf(c_0_66,negated_conjecture,
in(esk6_0,relation_field(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_47])]) ).
cnf(c_0_67,negated_conjecture,
esk6_0 != esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_47])]) ).
cnf(c_0_68,negated_conjecture,
~ in(unordered_pair(singleton(esk5_0),unordered_pair(esk5_0,esk6_0)),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_47])]) ).
cnf(c_0_69,negated_conjecture,
~ in(unordered_pair(singleton(esk6_0),unordered_pair(esk5_0,esk6_0)),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_47])]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_17]),c_0_67]),c_0_68]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU242+1 : TPTP v9.2.1. Released v3.3.0.
% 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
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 02:50:57 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.29/1.72 % Version : CSE_E---1.7
% 1.29/1.72 % Problem : theBenchmark.p
% 1.29/1.72 % SZS status Theorem for theBenchmark.p
% 1.29/1.72 % SZS output start CNFRefutation
% See solution above
% 1.29/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------