TSTP Solution File: LCL358-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL358-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 06:53:41 EDT 2023
% Result : Unsatisfiable 0.43s 0.60s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 21 ( 6 unt; 8 typ; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
implies: ( $i * $i ) > $i ).
tff(decl_23,type,
is_a_theorem: $i > $o ).
tff(decl_24,type,
not: $i > $i ).
tff(decl_25,type,
x: $i ).
tff(decl_26,type,
y: $i ).
tff(decl_27,type,
z: $i ).
tff(decl_28,type,
u: $i ).
tff(decl_29,type,
v: $i ).
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(prove_cn_07,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_07) ).
cnf(c_0_3,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_4,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
cn_1 ).
cnf(c_0_5,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_7,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X1,implies(X4,X3)))
| ~ is_a_theorem(implies(X2,X4)) ),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),
prove_cn_07 ).
cnf(c_0_9,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4))))
| ~ is_a_theorem(implies(X3,implies(X2,X4))) ),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_10,negated_conjecture,
~ is_a_theorem(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u)))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(implies(X1,implies(X4,X2))) ),
inference(spm,[status(thm)],[c_0_6,c_0_4]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL358-1 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 02:34:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.43/0.57 start to proof: theBenchmark
% 0.43/0.60 % Version : CSE_E---1.5
% 0.43/0.60 % Problem : theBenchmark.p
% 0.43/0.60 % Proof found
% 0.43/0.60 % SZS status Theorem for theBenchmark.p
% 0.43/0.60 % SZS output start Proof
% See solution above
% 0.43/0.60 % Total time : 0.024000 s
% 0.43/0.60 % SZS output end Proof
% 0.43/0.60 % Total time : 0.026000 s
%------------------------------------------------------------------------------