%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU198+2 : TPTP v9.2.1. Released v3.3.0.
% 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 : n005.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 05:11:02 PM UTC 2026
% Result : Theorem 4.70s 3.44s
% Output : CNFRefutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 44 ( 17 ~; 15 |; 6 &)
% ( 2 <=>; 4 =>; 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 : 25 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t116_relat_1,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_rng_restriction(X1,X2)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t116_relat_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t115_relat_1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_rng(relation_rng_restriction(X2,X3)))
<=> ( in(X1,X2)
& in(X1,relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_relat_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_rng_restriction(X1,X2)),X1) ),
inference(assume_negation,[status(cth)],[t116_relat_1]) ).
fof(c_0_4,negated_conjecture,
( relation(esk55_0)
& ~ subset(relation_rng(relation_rng_restriction(esk54_0,esk55_0)),esk54_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X545,X546,X547,X548,X549] :
( ( ~ subset(X545,X546)
| ~ in(X547,X545)
| in(X547,X546) )
& ( in(esk27_2(X548,X549),X548)
| subset(X548,X549) )
& ( ~ in(esk27_2(X548,X549),X549)
| subset(X548,X549) ) ),
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_6,lemma,
! [X744,X745,X746] :
( ( in(X744,X745)
| ~ in(X744,relation_rng(relation_rng_restriction(X745,X746)))
| ~ relation(X746) )
& ( in(X744,relation_rng(X746))
| ~ in(X744,relation_rng(relation_rng_restriction(X745,X746)))
| ~ relation(X746) )
& ( ~ in(X744,X745)
| ~ in(X744,relation_rng(X746))
| in(X744,relation_rng(relation_rng_restriction(X745,X746)))
| ~ relation(X746) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t115_relat_1])])]) ).
cnf(c_0_7,negated_conjecture,
~ subset(relation_rng(relation_rng_restriction(esk54_0,esk55_0)),esk54_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( in(esk27_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| ~ in(esk27_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,lemma,
( in(X1,X2)
| ~ in(X1,relation_rng(relation_rng_restriction(X2,X3)))
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
in(esk27_2(relation_rng(relation_rng_restriction(esk54_0,esk55_0)),esk54_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
relation(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
~ in(esk27_2(relation_rng(relation_rng_restriction(esk54_0,esk55_0)),esk54_0),esk54_0),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_14,lemma,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU198+2 : TPTP v9.2.1. Released v3.3.0.
% 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
% 0.17/0.33 % Computer : n005.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 02:47:46 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 4.70/3.44 % Version : CSE_E---1.7
% 4.70/3.44 % Problem : theBenchmark.p
% 4.70/3.44 % SZS status Theorem for theBenchmark.p
% 4.70/3.44 % SZS output start CNFRefutation
% See solution above
% 4.70/3.45 % Total time : 2.426s
%------------------------------------------------------------------------------