TSTP Solution File: MGT053-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT053-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 : Thu Aug 31 09:08:41 EDT 2023
% Result : Unsatisfiable 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 38 ( 6 unt; 10 typ; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 27 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 7 >; 7 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(decl_23,type,
smaller: ( $i * $i ) > $o ).
tff(decl_24,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_25,type,
greater: ( $i * $i ) > $o ).
tff(decl_26,type,
dissimilar: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
organization: $i > $o ).
tff(decl_28,type,
is_aligned: ( $i * $i ) > $o ).
tff(decl_29,type,
sk1: $i ).
tff(decl_30,type,
sk2: $i ).
tff(decl_31,type,
sk3: $i ).
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
% 0.00/0.11 % Problem : MGT053-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 06:48:41 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.58 % Version : CSE_E---1.5
% 0.19/0.58 % Problem : theBenchmark.p
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
% 0.19/0.58 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.011000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.014000 s
%------------------------------------------------------------------------------