%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU047+1 : TPTP v9.2.1. Released v3.2.0.
% 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 : n004.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 05:10:33 PM UTC 2026
% Result : Theorem 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 39 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 39 ( 14 ~; 10 |; 7 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t97_funct_1,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( subset(X1,X2)
=> ( relation_rng_restriction(X2,relation_rng_restriction(X1,X3)) = relation_rng_restriction(X1,X3)
& relation_rng_restriction(X1,relation_rng_restriction(X2,X3)) = relation_rng_restriction(X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t97_funct_1) ).
fof(t129_relat_1,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( subset(X1,X2)
=> relation_rng_restriction(X2,relation_rng_restriction(X1,X3)) = relation_rng_restriction(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t129_relat_1) ).
fof(t130_relat_1,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( subset(X1,X2)
=> relation_rng_restriction(X1,relation_rng_restriction(X2,X3)) = relation_rng_restriction(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t130_relat_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( subset(X1,X2)
=> ( relation_rng_restriction(X2,relation_rng_restriction(X1,X3)) = relation_rng_restriction(X1,X3)
& relation_rng_restriction(X1,relation_rng_restriction(X2,X3)) = relation_rng_restriction(X1,X3) ) ) ),
inference(assume_negation,[status(cth)],[t97_funct_1]) ).
fof(c_0_4,negated_conjecture,
( relation(esk14_0)
& function(esk14_0)
& subset(esk12_0,esk13_0)
& ( relation_rng_restriction(esk13_0,relation_rng_restriction(esk12_0,esk14_0)) != relation_rng_restriction(esk12_0,esk14_0)
| relation_rng_restriction(esk12_0,relation_rng_restriction(esk13_0,esk14_0)) != relation_rng_restriction(esk12_0,esk14_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X101,X102,X103] :
( ~ relation(X103)
| ~ subset(X101,X102)
| relation_rng_restriction(X102,relation_rng_restriction(X101,X103)) = relation_rng_restriction(X101,X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t129_relat_1])]) ).
cnf(c_0_6,negated_conjecture,
( relation_rng_restriction(esk13_0,relation_rng_restriction(esk12_0,esk14_0)) != relation_rng_restriction(esk12_0,esk14_0)
| relation_rng_restriction(esk12_0,relation_rng_restriction(esk13_0,esk14_0)) != relation_rng_restriction(esk12_0,esk14_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( relation_rng_restriction(X3,relation_rng_restriction(X2,X1)) = relation_rng_restriction(X2,X1)
| ~ relation(X1)
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
subset(esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_10,plain,
! [X104,X105,X106] :
( ~ relation(X106)
| ~ subset(X104,X105)
| relation_rng_restriction(X104,relation_rng_restriction(X105,X106)) = relation_rng_restriction(X104,X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t130_relat_1])]) ).
cnf(c_0_11,negated_conjecture,
relation_rng_restriction(esk12_0,relation_rng_restriction(esk13_0,esk14_0)) != relation_rng_restriction(esk12_0,esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_12,plain,
( relation_rng_restriction(X2,relation_rng_restriction(X3,X1)) = relation_rng_restriction(X2,X1)
| ~ relation(X1)
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU047+1 : TPTP v9.2.1. Released v3.2.0.
% 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 : n004.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 02:42:02 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Theorem for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------