TSTP Solution File: CAT017-3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : CAT017-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 : Wed Aug 30 18:14:12 EDT 2023
% Result : Unsatisfiable 0.21s 0.57s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 17 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 7 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
equivalent: ( $i * $i ) > $o ).
tff(decl_23,type,
there_exists: $i > $o ).
tff(decl_24,type,
domain: $i > $i ).
tff(decl_25,type,
codomain: $i > $i ).
tff(decl_26,type,
compose: ( $i * $i ) > $i ).
tff(decl_27,type,
f1: ( $i * $i ) > $i ).
tff(decl_28,type,
a: $i ).
cnf(composition_implies_codomain,axiom,
( there_exists(codomain(X1))
| ~ there_exists(compose(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',composition_implies_codomain) ).
cnf(compose_domain,axiom,
compose(X1,domain(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',compose_domain) ).
cnf(prove_codomain_of_a_exists,negated_conjecture,
~ there_exists(codomain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_exists) ).
cnf(assume_a_exists,hypothesis,
there_exists(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_a_exists) ).
cnf(c_0_4,axiom,
( there_exists(codomain(X1))
| ~ there_exists(compose(X1,X2)) ),
composition_implies_codomain ).
cnf(c_0_5,axiom,
compose(X1,domain(X1)) = X1,
compose_domain ).
cnf(c_0_6,negated_conjecture,
~ there_exists(codomain(a)),
prove_codomain_of_a_exists ).
cnf(c_0_7,plain,
( there_exists(codomain(X1))
| ~ there_exists(X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,hypothesis,
there_exists(a),
assume_a_exists ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT017-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 00:36:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.21/0.57 % Version : CSE_E---1.5
% 0.21/0.57 % Problem : theBenchmark.p
% 0.21/0.57 % Proof found
% 0.21/0.57 % SZS status Theorem for theBenchmark.p
% 0.21/0.57 % SZS output start Proof
% See solution above
% 0.21/0.57 % Total time : 0.004000 s
% 0.21/0.57 % SZS output end Proof
% 0.21/0.57 % Total time : 0.007000 s
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