%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU198+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 : n019.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 2.17s 2.01s
% Output : CNFRefutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 47 ( 17 ~; 18 |; 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 : 31 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t115_relat_1,axiom,
! [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/sandbox/benchmark/theBenchmark.p',t115_relat_1) ).
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(t116_relat_1,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_rng_restriction(X1,X2)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t116_relat_1) ).
fof(c_0_3,plain,
! [X74,X75,X76] :
( ( in(X74,X75)
| ~ in(X74,relation_rng(relation_rng_restriction(X75,X76)))
| ~ relation(X76) )
& ( in(X74,relation_rng(X76))
| ~ in(X74,relation_rng(relation_rng_restriction(X75,X76)))
| ~ relation(X76) )
& ( ~ in(X74,X75)
| ~ in(X74,relation_rng(X76))
| in(X74,relation_rng(relation_rng_restriction(X75,X76)))
| ~ relation(X76) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t115_relat_1])])]) ).
fof(c_0_4,plain,
! [X52,X53,X54,X55,X56] :
( ( ~ subset(X52,X53)
| ~ in(X54,X52)
| in(X54,X53) )
& ( in(esk1_2(X55,X56),X55)
| subset(X55,X56) )
& ( ~ in(esk1_2(X55,X56),X56)
| subset(X55,X56) ) ),
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_rng(relation_rng_restriction(X1,X2)),X1) ),
inference(assume_negation,[status(cth)],[t116_relat_1]) ).
cnf(c_0_6,plain,
( in(X1,X2)
| ~ in(X1,relation_rng(relation_rng_restriction(X2,X3)))
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( in(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( relation(esk10_0)
& ~ subset(relation_rng(relation_rng_restriction(esk9_0,esk10_0)),esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
( subset(relation_rng(relation_rng_restriction(X1,X2)),X3)
| in(esk1_2(relation_rng(relation_rng_restriction(X1,X2)),X3),X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
relation(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( subset(relation_rng(relation_rng_restriction(X1,esk10_0)),X2)
| in(esk1_2(relation_rng(relation_rng_restriction(X1,esk10_0)),X2),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
~ subset(relation_rng(relation_rng_restriction(esk9_0,esk10_0)),esk9_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
subset(relation_rng(relation_rng_restriction(X1,esk10_0)),X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU198+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
% 0.16/0.32 % Computer : n019.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 02:47:59 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 2.17/2.01 % Version : CSE_E---1.7
% 2.17/2.01 % Problem : theBenchmark.p
% 2.17/2.01 % SZS status Theorem for theBenchmark.p
% 2.17/2.01 % SZS output start CNFRefutation
% See solution above
% 2.17/2.02 % Total time : 1.372s
%------------------------------------------------------------------------------