TSTP Solution File: LCL294-3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL294-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 : 600s
% DateTime : Sun Jul 17 13:53:38 EDT 2022
% Result : Unsatisfiable 227.08s 227.30s
% Output : Refutation 227.08s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(equivalent(implies(p,q),or(not(p),q))),
input ).
cnf(c6,plain,
( X17 != X16
| ~ theorem(X17)
| theorem(X16) ),
eq_axiom ).
cnf(symmetry,axiom,
( X5 != X4
| X4 = X5 ),
eq_axiom ).
cnf(equivalent_defn,axiom,
equivalent(X68,X67) = and(implies(X68,X67),implies(X67,X68)),
input ).
cnf(c53,plain,
and(implies(X405,X406),implies(X406,X405)) = equivalent(X405,X406),
inference(resolution,status(thm),[equivalent_defn,symmetry]) ).
cnf(c389,plain,
( ~ theorem(and(implies(X3532,X3533),implies(X3533,X3532)))
| theorem(equivalent(X3532,X3533)) ),
inference(resolution,status(thm),[c53,c6]) ).
cnf(and_defn,axiom,
and(X55,X54) = not(or(not(X55),not(X54))),
input ).
cnf(c40,plain,
not(or(not(X316),not(X315))) = and(X316,X315),
inference(resolution,status(thm),[and_defn,symmetry]) ).
cnf(c277,plain,
( ~ theorem(not(or(not(X2152),not(X2151))))
| theorem(and(X2152,X2151)) ),
inference(resolution,status(thm),[c40,c6]) ).
cnf(rule_2,axiom,
( theorem(X24)
| ~ theorem(implies(X23,X24))
| ~ theorem(X23) ),
input ).
cnf(rule_1,axiom,
( theorem(X3)
| ~ axiom(X3) ),
input ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X19,X18),or(X18,X19))),
input ).
cnf(c12,plain,
theorem(implies(or(X40,X39),or(X39,X40))),
inference(resolution,status(thm),[axiom_1_4,rule_1]) ).
cnf(c25,plain,
( theorem(or(X57,X56))
| ~ theorem(or(X56,X57)) ),
inference(resolution,status(thm),[c12,rule_2]) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X7,X7),X7)),
input ).
cnf(c5,plain,
( X14 != X13
| ~ axiom(X14)
| axiom(X13) ),
eq_axiom ).
cnf(implies_definition,axiom,
implies(X22,X21) = or(not(X22),X21),
input ).
cnf(c14,plain,
( ~ axiom(implies(X76,X75))
| axiom(or(not(X76),X75)) ),
inference(resolution,status(thm),[implies_definition,c5]) ).
cnf(c55,plain,
axiom(or(not(or(X77,X77)),X77)),
inference(resolution,status(thm),[c14,axiom_1_2]) ).
cnf(c60,plain,
theorem(or(not(or(X80,X80)),X80)),
inference(resolution,status(thm),[c55,rule_1]) ).
cnf(c63,plain,
theorem(or(X83,not(or(X83,X83)))),
inference(resolution,status(thm),[c60,c25]) ).
cnf(c13,plain,
or(not(X45),X44) = implies(X45,X44),
inference(resolution,status(thm),[implies_definition,symmetry]) ).
cnf(c32,plain,
( ~ theorem(or(not(X107),X108))
| theorem(implies(X107,X108)) ),
inference(resolution,status(thm),[c13,c6]) ).
cnf(c89,plain,
theorem(implies(X288,not(or(not(X288),not(X288))))),
inference(resolution,status(thm),[c32,c63]) ).
cnf(c243,plain,
( theorem(not(or(not(X356),not(X356))))
| ~ theorem(X356) ),
inference(resolution,status(thm),[c89,rule_2]) ).
cnf(c8,plain,
theorem(implies(or(X10,X10),X10)),
inference(resolution,status(thm),[axiom_1_2,rule_1]) ).
cnf(c16,plain,
( theorem(X25)
| ~ theorem(or(X25,X25)) ),
inference(resolution,status(thm),[rule_2,c8]) ).
cnf(axiom_1_3,axiom,
axiom(implies(X9,or(X8,X9))),
input ).
cnf(c57,plain,
axiom(or(not(X78),or(X79,X78))),
inference(resolution,status(thm),[c14,axiom_1_3]) ).
cnf(c61,plain,
theorem(or(not(X81),or(X82,X81))),
inference(resolution,status(thm),[c57,rule_1]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X30,or(X29,X28)),or(X29,or(X30,X28)))),
input ).
cnf(c20,plain,
theorem(implies(or(X142,or(X141,X140)),or(X141,or(X142,X140)))),
inference(resolution,status(thm),[axiom_1_5,rule_1]) ).
cnf(c117,plain,
( theorem(or(X799,or(X800,X801)))
| ~ theorem(or(X800,or(X799,X801))) ),
inference(resolution,status(thm),[c20,rule_2]) ).
cnf(c789,plain,
theorem(or(X802,or(not(X803),X803))),
inference(resolution,status(thm),[c117,c61]) ).
cnf(c810,plain,
theorem(or(not(X804),X804)),
inference(resolution,status(thm),[c789,c16]) ).
cnf(c811,plain,
theorem(implies(X805,X805)),
inference(resolution,status(thm),[c810,c32]) ).
cnf(c817,plain,
theorem(not(or(not(implies(X8535,X8535)),not(implies(X8535,X8535))))),
inference(resolution,status(thm),[c811,c243]) ).
cnf(c24919,plain,
theorem(and(implies(X8538,X8538),implies(X8538,X8538))),
inference(resolution,status(thm),[c817,c277]) ).
cnf(c24933,plain,
theorem(equivalent(X8539,X8539)),
inference(resolution,status(thm),[c24919,c389]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c4,plain,
( X129 != X128
| X127 != X126
| equivalent(X129,X127) = equivalent(X128,X126) ),
eq_axiom ).
cnf(c103,plain,
( X191 != X189
| equivalent(X191,X190) = equivalent(X189,X190) ),
inference(resolution,status(thm),[c4,reflexivity]) ).
cnf(c163,plain,
equivalent(or(not(X1152),X1153),X1151) = equivalent(implies(X1152,X1153),X1151),
inference(resolution,status(thm),[c103,c13]) ).
cnf(c2182,plain,
( ~ theorem(equivalent(or(not(X25399),X25398),X25400))
| theorem(equivalent(implies(X25399,X25398),X25400)) ),
inference(resolution,status(thm),[c163,c6]) ).
cnf(c141090,plain,
theorem(equivalent(implies(X25401,X25402),or(not(X25401),X25402))),
inference(resolution,status(thm),[c2182,c24933]) ).
cnf(c141100,plain,
$false,
inference(resolution,status(thm),[c141090,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL294-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n019.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 : 600
% 0.13/0.34 % DateTime : Sun Jul 3 00:58:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 227.08/227.30 # Version: 1.3
% 227.08/227.30 # SZS status Unsatisfiable
% 227.08/227.30 # SZS output start CNFRefutation
% See solution above
% 227.08/227.30
% 227.08/227.30 # Initial clauses : 21
% 227.08/227.30 # Processed clauses : 2415
% 227.08/227.30 # Factors computed : 0
% 227.08/227.30 # Resolvents computed: 141110
% 227.08/227.30 # Tautologies deleted: 4
% 227.08/227.30 # Forward subsumed : 6996
% 227.08/227.30 # Backward subsumed : 12
% 227.08/227.30 # -------- CPU Time ---------
% 227.08/227.30 # User time : 226.631 s
% 227.08/227.30 # System time : 0.280 s
% 227.08/227.30 # Total time : 226.911 s
%------------------------------------------------------------------------------