%------------------------------------------------------------------------------
% 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 : n009.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 : Unsatisfiable 1.30s 1.73s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 28 ( 6 unt; 14 nHn; 20 RR)
% Number of literals : 65 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 2 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 : 34 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_2_30,axiom,
( is_aligned(X1,X2)
| is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_30) ).
cnf(lemma_7_36,negated_conjecture,
( dissimilar(sk1,sk2,sk3)
| dissimilar(sk1,sk3,sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7_36) ).
cnf(definition_2_29,axiom,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_29) ).
cnf(definition_2_34,axiom,
( is_aligned(X1,X3)
| dissimilar(X1,X3,X2)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_34) ).
cnf(definition_2_31,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_31) ).
cnf(definition_2_33,axiom,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_33) ).
cnf(lemma_7_39,negated_conjecture,
( ~ dissimilar(sk1,sk3,sk2)
| ~ dissimilar(sk1,sk2,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7_39) ).
cnf(c_0_7,axiom,
( is_aligned(X1,X2)
| is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
definition_2_30 ).
cnf(c_0_8,negated_conjecture,
( dissimilar(sk1,sk2,sk3)
| dissimilar(sk1,sk3,sk2) ),
lemma_7_36 ).
cnf(c_0_9,axiom,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
definition_2_29 ).
cnf(c_0_10,axiom,
( is_aligned(X1,X3)
| dissimilar(X1,X3,X2)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
definition_2_34 ).
cnf(c_0_11,negated_conjecture,
( is_aligned(sk1,sk3)
| is_aligned(sk1,sk2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_7]) ).
cnf(c_0_12,negated_conjecture,
organization(sk1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_9]) ).
cnf(c_0_13,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
definition_2_31 ).
cnf(c_0_14,negated_conjecture,
( is_aligned(sk1,sk2)
| is_aligned(sk1,X1)
| dissimilar(sk1,X1,sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_15,negated_conjecture,
( ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_8]),c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( is_aligned(sk1,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(ef,[status(thm)],[c_0_14]) ).
cnf(c_0_17,axiom,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
definition_2_33 ).
cnf(c_0_18,negated_conjecture,
( dissimilar(sk1,sk2,sk3)
| ~ is_aligned(sk1,sk3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( is_aligned(sk1,X1)
| dissimilar(sk1,sk2,sk3)
| dissimilar(sk1,sk2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_16]),c_0_12])]) ).
cnf(c_0_20,negated_conjecture,
( ~ dissimilar(sk1,sk3,sk2)
| ~ dissimilar(sk1,sk2,sk3) ),
lemma_7_39 ).
cnf(c_0_21,negated_conjecture,
dissimilar(sk1,sk2,sk3),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( is_aligned(sk1,sk2)
| is_aligned(sk1,X1)
| dissimilar(sk1,sk3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_11]),c_0_12])]) ).
cnf(c_0_23,negated_conjecture,
~ dissimilar(sk1,sk3,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
is_aligned(sk1,sk2),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_22]),c_0_23]) ).
cnf(c_0_25,negated_conjecture,
~ is_aligned(sk1,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_24])]) ).
cnf(c_0_26,negated_conjecture,
( is_aligned(sk1,X1)
| dissimilar(sk1,X1,sk2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_24]),c_0_12])]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_23]),
[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
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:30:40 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.30/1.73 % Version : CSE_E---1.7
% 1.30/1.73 % Problem : theBenchmark.p
% 1.30/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/1.73 % SZS output start CNFRefutation
% See solution above
% 1.30/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------