%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU250+2 : 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 : n008.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 05:11:15 PM UTC 2026
% Result : Theorem 9.03s 5.94s
% Output : CNFRefutation 9.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 3 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 57 ( 22 ~; 22 |; 7 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 2 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t19_wellord1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_field(relation_restriction(X3,X2)))
=> ( in(X1,relation_field(X3))
& in(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_wellord1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(t20_wellord1,conjecture,
! [X1,X2] :
( relation(X2)
=> ( subset(relation_field(relation_restriction(X2,X1)),relation_field(X2))
& subset(relation_field(relation_restriction(X2,X1)),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_wellord1) ).
fof(c_0_3,lemma,
! [X1255,X1256,X1257] :
( ( in(X1255,relation_field(X1257))
| ~ in(X1255,relation_field(relation_restriction(X1257,X1256)))
| ~ relation(X1257) )
& ( in(X1255,X1256)
| ~ in(X1255,relation_field(relation_restriction(X1257,X1256)))
| ~ relation(X1257) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_wellord1])])]) ).
fof(c_0_4,plain,
! [X874,X875,X876,X877,X878] :
( ( ~ subset(X874,X875)
| ~ in(X876,X874)
| in(X876,X875) )
& ( in(esk44_2(X877,X878),X877)
| subset(X877,X878) )
& ( ~ in(esk44_2(X877,X878),X878)
| subset(X877,X878) ) ),
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)],[d3_tarski])])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( subset(relation_field(relation_restriction(X2,X1)),relation_field(X2))
& subset(relation_field(relation_restriction(X2,X1)),X1) ) ),
inference(assume_negation,[status(cth)],[t20_wellord1]) ).
cnf(c_0_6,lemma,
( in(X1,relation_field(X2))
| ~ in(X1,relation_field(relation_restriction(X2,X3)))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( in(esk44_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( relation(esk105_0)
& ( ~ subset(relation_field(relation_restriction(esk105_0,esk104_0)),relation_field(esk105_0))
| ~ subset(relation_field(relation_restriction(esk105_0,esk104_0)),esk104_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| ~ in(esk44_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,lemma,
( subset(relation_field(relation_restriction(X1,X2)),X3)
| in(esk44_2(relation_field(relation_restriction(X1,X2)),X3),relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,lemma,
( in(X1,X2)
| ~ in(X1,relation_field(relation_restriction(X3,X2)))
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( ~ subset(relation_field(relation_restriction(esk105_0,esk104_0)),relation_field(esk105_0))
| ~ subset(relation_field(relation_restriction(esk105_0,esk104_0)),esk104_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,lemma,
( subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
relation(esk105_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,lemma,
( subset(relation_field(relation_restriction(X1,X2)),X3)
| in(esk44_2(relation_field(relation_restriction(X1,X2)),X3),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_16,negated_conjecture,
~ subset(relation_field(relation_restriction(esk105_0,esk104_0)),esk104_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,lemma,
( subset(relation_field(relation_restriction(X1,X2)),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_18,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU250+2 : 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
% 0.14/0.33 % Computer : n008.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 02:51:58 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 9.03/5.94 % Version : CSE_E---1.7
% 9.03/5.94 % Problem : theBenchmark.p
% 9.03/5.94 % SZS status Theorem for theBenchmark.p
% 9.03/5.94 % SZS output start CNFRefutation
% See solution above
% 9.03/5.97 % Total time : 4.430s
%------------------------------------------------------------------------------