TSTP Solution File: SET047-5 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET047-5 : 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 : n011.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 14:32:30 EDT 2023
% Result : Unsatisfiable 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 4 unt; 5 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 52 ( 22 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
set_equal: ( $i * $i ) > $o ).
tff(decl_23,type,
element: ( $i * $i ) > $o ).
tff(decl_24,type,
f: ( $i * $i ) > $i ).
tff(decl_25,type,
a: $i ).
tff(decl_26,type,
b: $i ).
cnf(element_substitution1,axiom,
( element(X3,X2)
| ~ set_equal(X1,X2)
| ~ element(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_substitution1) ).
cnf(prove_symmetry1,negated_conjecture,
( set_equal(a,b)
| set_equal(b,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry1) ).
cnf(element_substitution2,axiom,
( element(X3,X1)
| ~ set_equal(X1,X2)
| ~ element(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_substitution2) ).
cnf(clause_3,axiom,
( element(f(X1,X2),X1)
| element(f(X1,X2),X2)
| set_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,axiom,
( set_equal(X1,X2)
| ~ element(f(X1,X2),X2)
| ~ element(f(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(prove_symmetry2,negated_conjecture,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry2) ).
cnf(c_0_6,axiom,
( element(X3,X2)
| ~ set_equal(X1,X2)
| ~ element(X3,X1) ),
element_substitution1 ).
cnf(c_0_7,negated_conjecture,
( set_equal(a,b)
| set_equal(b,a) ),
prove_symmetry1 ).
cnf(c_0_8,axiom,
( element(X3,X1)
| ~ set_equal(X1,X2)
| ~ element(X3,X2) ),
element_substitution2 ).
cnf(c_0_9,negated_conjecture,
( element(X1,b)
| ~ element(X1,a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_10,axiom,
( element(f(X1,X2),X1)
| element(f(X1,X2),X2)
| set_equal(X1,X2) ),
clause_3 ).
cnf(c_0_11,negated_conjecture,
( element(f(a,X1),b)
| element(f(a,X1),X1)
| set_equal(a,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,axiom,
( set_equal(X1,X2)
| ~ element(f(X1,X2),X2)
| ~ element(f(X1,X2),X1) ),
clause_4 ).
cnf(c_0_13,negated_conjecture,
( element(f(a,b),b)
| set_equal(a,b) ),
inference(ef,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( set_equal(a,b)
| ~ element(f(a,b),a) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
( element(X1,a)
| ~ element(X1,b) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_7]),c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
prove_symmetry2 ).
cnf(c_0_17,negated_conjecture,
set_equal(a,b),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( element(f(X1,a),b)
| element(f(X1,a),X1)
| set_equal(X1,a) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_19,negated_conjecture,
~ set_equal(b,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
cnf(c_0_20,negated_conjecture,
( set_equal(X1,a)
| ~ element(f(X1,a),b)
| ~ element(f(X1,a),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
element(f(b,a),b),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_21])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET047-5 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 09:57:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.004000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.006000 s
%------------------------------------------------------------------------------