TSTP Solution File: GRP006-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 00:13:34 EDT 2023
% Result : Unsatisfiable 0.44s 0.61s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 10 unt; 5 typ; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 1 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
identity: $i ).
tff(decl_23,type,
product: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
inverse: $i > $i ).
tff(decl_25,type,
an_element: $i > $o ).
tff(decl_26,type,
the_element: $i ).
cnf(condition,axiom,
( an_element(X3)
| ~ an_element(X1)
| ~ an_element(X2)
| ~ product(X1,inverse(X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
cnf(right_inverse,axiom,
product(X1,inverse(X1),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
cnf(element_of_set,hypothesis,
an_element(the_element),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_of_set) ).
cnf(left_identity,axiom,
product(identity,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
cnf(prove_b_inverse_is_in_set,negated_conjecture,
~ an_element(inverse(the_element)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_inverse_is_in_set) ).
cnf(c_0_5,axiom,
( an_element(X3)
| ~ an_element(X1)
| ~ an_element(X2)
| ~ product(X1,inverse(X2),X3) ),
condition ).
cnf(c_0_6,axiom,
product(X1,inverse(X1),identity),
right_inverse ).
cnf(c_0_7,plain,
( an_element(identity)
| ~ an_element(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,hypothesis,
an_element(the_element),
element_of_set ).
cnf(c_0_9,axiom,
product(identity,X1,X1),
left_identity ).
cnf(c_0_10,hypothesis,
an_element(identity),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ an_element(inverse(the_element)),
prove_b_inverse_is_in_set ).
cnf(c_0_12,plain,
( an_element(inverse(X1))
| ~ an_element(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_9]),c_0_10])]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 00:38:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.44/0.60 start to proof: theBenchmark
% 0.44/0.61 % Version : CSE_E---1.5
% 0.44/0.61 % Problem : theBenchmark.p
% 0.44/0.61 % Proof found
% 0.44/0.61 % SZS status Theorem for theBenchmark.p
% 0.44/0.61 % SZS output start Proof
% See solution above
% 0.44/0.62 % Total time : 0.003000 s
% 0.44/0.62 % SZS output end Proof
% 0.44/0.62 % Total time : 0.006000 s
%------------------------------------------------------------------------------