TSTP Solution File: LCL042-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL042-1 : 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 : n014.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 06:51:56 EDT 2023
% Result : Unsatisfiable 163.32s 163.30s
% Output : CNFRefutation 163.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 14 unt; 6 typ; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 3 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,
a: $i ).
tff(decl_26,type,
b: $i ).
tff(decl_27,type,
c: $i ).
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_22,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_22) ).
cnf(cn_21,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_21) ).
cnf(cn_54,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X2),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_54) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_35,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_35) ).
cnf(c_0_6,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_7,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
cn_22 ).
cnf(c_0_8,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))),
cn_21 ).
cnf(c_0_10,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X3,X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_11,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_12,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X2),X2))),
cn_54 ).
cnf(c_0_13,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(implies(implies(X4,X1),implies(X4,X2)),X3)) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_14,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
cn_3 ).
cnf(c_0_16,plain,
( is_a_theorem(implies(implies(X1,implies(X2,X3)),X4))
| ~ is_a_theorem(implies(implies(X2,implies(X1,X3)),X4)) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_17,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X4)))
| ~ is_a_theorem(implies(implies(X3,X2),X4)) ),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_18,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_14]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(not(X1),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
prove_cn_35 ).
cnf(c_0_21,plain,
( is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X4,X2),X5)))
| ~ is_a_theorem(implies(implies(X4,implies(X1,X3)),X5)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : LCL042-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.16 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.37 % Computer : n014.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri Aug 25 06:52:48 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.21/0.61 start to proof: theBenchmark
% 163.32/163.30 % Version : CSE_E---1.5
% 163.32/163.30 % Problem : theBenchmark.p
% 163.32/163.30 % Proof found
% 163.32/163.30 % SZS status Theorem for theBenchmark.p
% 163.32/163.30 % SZS output start Proof
% See solution above
% 163.32/163.31 % Total time : 162.693000 s
% 163.32/163.31 % SZS output end Proof
% 163.32/163.31 % Total time : 162.702000 s
%------------------------------------------------------------------------------