TSTP Solution File: LCL875-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL875-1 : TPTP v8.1.2. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 07:00:02 EDT 2023
% Result : Unsatisfiable 0.15s 0.53s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 63 ( 15 unt; 25 typ; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 98 ( 56 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 13 ( 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 : 24 ( 24 usr; 23 con; 0-2 aty)
% Number of variables : 58 ( 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,
x: $i ).
tff(decl_25,type,
y: $i ).
tff(decl_26,type,
z: $i ).
tff(decl_27,type,
u: $i ).
tff(decl_28,type,
v: $i ).
tff(decl_29,type,
w: $i ).
tff(decl_30,type,
v6: $i ).
tff(decl_31,type,
v7: $i ).
tff(decl_32,type,
v8: $i ).
tff(decl_33,type,
v9: $i ).
tff(decl_34,type,
v10: $i ).
tff(decl_35,type,
v11: $i ).
tff(decl_36,type,
v12: $i ).
tff(decl_37,type,
v13: $i ).
tff(decl_38,type,
v14: $i ).
tff(decl_39,type,
v15: $i ).
tff(decl_40,type,
v16: $i ).
tff(decl_41,type,
v17: $i ).
tff(decl_42,type,
v18: $i ).
tff(decl_43,type,
v19: $i ).
tff(decl_44,type,
v20: $i ).
tff(decl_45,type,
v21: $i ).
tff(decl_46,type,
v22: $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(c,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
cnf(b,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b) ).
cnf(i,axiom,
is_a_theorem(implies(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
cnf(prove_rezus,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)),implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22))),v22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_rezus) ).
cnf(w,axiom,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w) ).
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,implies(X2,X3)),implies(X2,implies(X1,X3)))),
c ).
cnf(c_0_8,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
b ).
cnf(c_0_9,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_7]) ).
cnf(c_0_10,axiom,
is_a_theorem(implies(X1,X1)),
i ).
cnf(c_0_11,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_8]) ).
cnf(c_0_12,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,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_11]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)),implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22))),v22)),
prove_rezus ).
cnf(c_0_16,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22)),v22))
| ~ is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( ~ is_a_theorem(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15))
| ~ is_a_theorem(implies(implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22),v22))
| ~ is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w))) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_20,negated_conjecture,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15),v15))
| ~ is_a_theorem(implies(implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22),v22))
| ~ is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_19])]) ).
cnf(c_0_21,negated_conjecture,
( ~ is_a_theorem(implies(implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22),v22))
| ~ is_a_theorem(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14))
| ~ is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w))) ),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( ~ is_a_theorem(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14))
| ~ is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))
| ~ is_a_theorem(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21))) ),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_23,axiom,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),
w ).
cnf(c_0_24,negated_conjecture,
( ~ is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))
| ~ is_a_theorem(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)))
| ~ is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_16]),c_0_23])]) ).
cnf(c_0_25,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),X4)))
| ~ is_a_theorem(implies(X3,implies(X1,X4)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_26,negated_conjecture,
( ~ is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))
| ~ is_a_theorem(implies(implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21)))),implies(v16,v21)))
| ~ is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_10])]) ).
cnf(c_0_27,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_16]) ).
cnf(c_0_28,negated_conjecture,
( ~ is_a_theorem(implies(implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21)))),implies(v16,v21)))
| ~ is_a_theorem(implies(implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w)))),implies(x,w)))
| ~ is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_25]),c_0_10])]) ).
cnf(c_0_29,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X3),X1))
| ~ is_a_theorem(implies(X2,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_30,negated_conjecture,
( ~ is_a_theorem(implies(implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w)))),implies(x,w)))
| ~ is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14))
| ~ is_a_theorem(implies(implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))),implies(v16,v21))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_16]),c_0_10])]) ).
cnf(c_0_31,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,implies(X2,X3)))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( ~ is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14))
| ~ is_a_theorem(implies(implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))),implies(v16,v21)))
| ~ is_a_theorem(implies(implies(implies(u,u),implies(implies(v,v),implies(x,w))),implies(x,w))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_16]),c_0_10])]) ).
cnf(c_0_33,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X2),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_8]),c_0_10])]) ).
cnf(c_0_34,negated_conjecture,
( ~ is_a_theorem(implies(implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))),implies(v16,v21)))
| ~ is_a_theorem(implies(implies(implies(u,u),implies(implies(v,v),implies(x,w))),implies(x,w))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_14]),c_0_19])]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_33,c_0_12]) ).
cnf(c_0_36,negated_conjecture,
~ is_a_theorem(implies(implies(implies(u,u),implies(implies(v,v),implies(x,w))),implies(x,w))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_16]),c_0_35]),c_0_10])]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_16]),c_0_35]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL875-1 : TPTP v8.1.2. Bugfixed v5.5.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.30 % Computer : n026.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Aug 25 07:26:17 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.52 start to proof: theBenchmark
% 0.15/0.53 % Version : CSE_E---1.5
% 0.15/0.53 % Problem : theBenchmark.p
% 0.15/0.53 % Proof found
% 0.15/0.53 % SZS status Theorem for theBenchmark.p
% 0.15/0.53 % SZS output start Proof
% See solution above
% 0.15/0.54 % Total time : 0.010000 s
% 0.15/0.54 % SZS output end Proof
% 0.15/0.54 % Total time : 0.012000 s
%------------------------------------------------------------------------------