%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT053+1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n015.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 04:48:21 PM UTC 2026
% Result : Theorem 1.29s 1.73s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 76 ( 29 ~; 37 |; 6 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_7,conjecture,
! [X1,X6,X7] :
( dissimilar(X1,X6,X7)
<=> dissimilar(X1,X7,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7) ).
fof(definition_2,axiom,
! [X1,X4,X5] :
( dissimilar(X1,X4,X5)
<=> ( organization(X1)
& ~ ( is_aligned(X1,X4)
<=> is_aligned(X1,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X6,X7] :
( dissimilar(X1,X6,X7)
<=> dissimilar(X1,X7,X6) ),
inference(assume_negation,[status(cth)],[lemma_7]) ).
fof(c_0_3,plain,
! [X40,X41,X42] :
( ( organization(X40)
| ~ dissimilar(X40,X41,X42) )
& ( ~ is_aligned(X40,X41)
| ~ is_aligned(X40,X42)
| ~ dissimilar(X40,X41,X42) )
& ( is_aligned(X40,X41)
| is_aligned(X40,X42)
| ~ dissimilar(X40,X41,X42) )
& ( ~ is_aligned(X40,X41)
| is_aligned(X40,X42)
| ~ organization(X40)
| dissimilar(X40,X41,X42) )
& ( ~ is_aligned(X40,X42)
| is_aligned(X40,X41)
| ~ organization(X40)
| dissimilar(X40,X41,X42) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])]) ).
fof(c_0_4,negated_conjecture,
( ( ~ dissimilar(esk1_0,esk2_0,esk3_0)
| ~ dissimilar(esk1_0,esk3_0,esk2_0) )
& ( dissimilar(esk1_0,esk2_0,esk3_0)
| dissimilar(esk1_0,esk3_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( is_aligned(X1,X2)
| is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( dissimilar(esk1_0,esk2_0,esk3_0)
| dissimilar(esk1_0,esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X3,X2)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( is_aligned(esk1_0,esk3_0)
| is_aligned(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_5]) ).
cnf(c_0_10,negated_conjecture,
organization(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_7]) ).
cnf(c_0_11,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( is_aligned(esk1_0,esk2_0)
| is_aligned(esk1_0,X1)
| dissimilar(esk1_0,X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_13,negated_conjecture,
( ~ is_aligned(esk1_0,esk2_0)
| ~ is_aligned(esk1_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_6]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( is_aligned(esk1_0,esk2_0)
| dissimilar(esk1_0,esk2_0,esk3_0) ),
inference(ef,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,negated_conjecture,
( dissimilar(esk1_0,esk2_0,esk3_0)
| ~ is_aligned(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,esk2_0,esk3_0)
| dissimilar(esk1_0,esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_14]),c_0_10])]) ).
cnf(c_0_18,negated_conjecture,
( ~ dissimilar(esk1_0,esk2_0,esk3_0)
| ~ dissimilar(esk1_0,esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
dissimilar(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( is_aligned(esk1_0,esk2_0)
| is_aligned(esk1_0,X1)
| dissimilar(esk1_0,esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_9]),c_0_10])]) ).
cnf(c_0_21,negated_conjecture,
~ dissimilar(esk1_0,esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).
cnf(c_0_22,negated_conjecture,
is_aligned(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_20]),c_0_21]) ).
cnf(c_0_23,negated_conjecture,
~ is_aligned(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_22])]) ).
cnf(c_0_24,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_22]),c_0_10])]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT053+1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n015.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 : Mon May 4 23:30:47 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.29/1.73 % Version : CSE_E---1.7
% 1.29/1.73 % Problem : theBenchmark.p
% 1.29/1.73 % SZS status Theorem for theBenchmark.p
% 1.29/1.73 % SZS output start CNFRefutation
% See solution above
% 1.29/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------