%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU248+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 : n031.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 2.16s 2.05s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 43 ( 19 ~; 14 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 2 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l29_wellord1,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l29_wellord1) ).
fof(t25_relat_1,lemma,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(X1,X2)
=> ( subset(relation_dom(X1),relation_dom(X2))
& subset(relation_rng(X1),relation_rng(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
fof(t117_relat_1,lemma,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng_restriction(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_relat_1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
inference(assume_negation,[status(cth)],[l29_wellord1]) ).
fof(c_0_5,negated_conjecture,
( relation(esk80_0)
& ~ subset(relation_dom(relation_rng_restriction(esk79_0,esk80_0)),relation_dom(esk80_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,lemma,
! [X1278,X1279] :
( ( subset(relation_dom(X1278),relation_dom(X1279))
| ~ subset(X1278,X1279)
| ~ relation(X1279)
| ~ relation(X1278) )
& ( subset(relation_rng(X1278),relation_rng(X1279))
| ~ subset(X1278,X1279)
| ~ relation(X1279)
| ~ relation(X1278) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_relat_1])])])]) ).
cnf(c_0_7,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction(esk79_0,esk80_0)),relation_dom(esk80_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,lemma,
( subset(relation_dom(X1),relation_dom(X2))
| ~ subset(X1,X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
relation(esk80_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,lemma,
! [X1187,X1188] :
( ~ relation(X1188)
| subset(relation_rng_restriction(X1187,X1188),X1188) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t117_relat_1])]) ).
cnf(c_0_11,negated_conjecture,
( ~ subset(relation_rng_restriction(esk79_0,esk80_0),esk80_0)
| ~ relation(relation_rng_restriction(esk79_0,esk80_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_12,lemma,
( subset(relation_rng_restriction(X2,X1),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X1038,X1039] :
( ~ relation(X1039)
| relation(relation_rng_restriction(X1038,X1039)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
cnf(c_0_14,lemma,
~ relation(relation_rng_restriction(esk79_0,esk80_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_9])]) ).
cnf(c_0_15,plain,
( relation(relation_rng_restriction(X2,X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU248+2 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n031.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 02:53:53 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 2.16/2.05 % Version : CSE_E---1.7
% 2.16/2.05 % Problem : theBenchmark.p
% 2.16/2.05 % SZS status Theorem for theBenchmark.p
% 2.16/2.05 % SZS output start CNFRefutation
% See solution above
% 2.16/2.06 % Total time : 1.426s
%------------------------------------------------------------------------------