TSTP Solution File: LCL131-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL131-1 : 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 : 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 06:52:26 EDT 2023
% Result : Unsatisfiable 0.77s 0.84s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 20 unt; 6 typ; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
equivalent: ( $i * $i ) > $i ).
tff(decl_23,type,
is_a_theorem: $i > $o ).
tff(decl_24,type,
a: $i ).
tff(decl_25,type,
b: $i ).
tff(decl_26,type,
c: $i ).
tff(decl_27,type,
e: $i ).
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(s_6,axiom,
is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4))),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_6) ).
cnf(prove_lg_2,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_2) ).
cnf(c_0_3,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_4,axiom,
is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4))),X1)),
s_6 ).
cnf(c_0_5,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4)))) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3)),equivalent(equivalent(equivalent(X4,X5),equivalent(X6,X5)),equivalent(X4,X6)))),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_7,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(X1,X3),equivalent(X2,X3))) ),
inference(spm,[status(thm)],[c_0_3,c_0_7]) ).
cnf(c_0_9,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(equivalent(X1,X4),equivalent(X3,X4)))),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_10,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X4),equivalent(equivalent(X1,X3),X4))),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_11,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),X3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X4),equivalent(X2,X4)),X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_10]) ).
cnf(c_0_13,plain,
is_a_theorem(equivalent(X1,X1)),
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_14,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))
| ~ is_a_theorem(equivalent(X1,X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_14]) ).
cnf(c_0_16,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X4,X3))),equivalent(X1,equivalent(X2,X4)))),
inference(spm,[status(thm)],[c_0_12,c_0_4]) ).
cnf(c_0_17,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(equivalent(X3,X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_15]) ).
cnf(c_0_18,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X1,equivalent(X4,X3)),equivalent(X2,X4)))),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_19,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_20,plain,
is_a_theorem(equivalent(X1,equivalent(X1,equivalent(X2,X2)))),
inference(spm,[status(thm)],[c_0_8,c_0_18]) ).
cnf(c_0_21,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(X2,equivalent(X3,X3)),X1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_23,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))
| ~ is_a_theorem(equivalent(equivalent(X1,X4),equivalent(X3,X4))) ),
inference(spm,[status(thm)],[c_0_3,c_0_9]) ).
cnf(c_0_24,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X1)),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_25,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X4),equivalent(X1,X4))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),X4),equivalent(X1,equivalent(X4,equivalent(X3,X2))))),
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_27,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,X4))))
| ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X4,X3)),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
prove_lg_2 ).
cnf(c_0_29,plain,
is_a_theorem(equivalent(X1,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))))),
inference(spm,[status(thm)],[c_0_27,c_0_4]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL131-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n011.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 : Thu Aug 24 21:41:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.77/0.84 % Version : CSE_E---1.5
% 0.77/0.84 % Problem : theBenchmark.p
% 0.77/0.84 % Proof found
% 0.77/0.84 % SZS status Theorem for theBenchmark.p
% 0.77/0.84 % SZS output start Proof
% See solution above
% 0.77/0.85 % Total time : 0.267000 s
% 0.77/0.85 % SZS output end Proof
% 0.77/0.85 % Total time : 0.269000 s
%------------------------------------------------------------------------------