TSTP Solution File: LCL296-3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL296-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 : 600s
% DateTime : Sun Jul 17 13:53:39 EDT 2022
% Result : Unsatisfiable 248.90s 249.15s
% Output : Refutation 248.90s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(equivalent(implies(p,not(q)),or(not(p),not(q)))),
input ).
cnf(c6,plain,
( X17 != X16
| ~ theorem(X17)
| theorem(X16) ),
eq_axiom ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
eq_axiom ).
cnf(equivalent_defn,axiom,
equivalent(X67,X66) = and(implies(X67,X66),implies(X66,X67)),
input ).
cnf(c50,plain,
and(implies(X352,X351),implies(X351,X352)) = equivalent(X352,X351),
inference(resolution,status(thm),[equivalent_defn,symmetry]) ).
cnf(c303,plain,
( ~ theorem(and(implies(X2324,X2323),implies(X2323,X2324)))
| theorem(equivalent(X2324,X2323)) ),
inference(resolution,status(thm),[c50,c6]) ).
cnf(and_defn,axiom,
and(X55,X54) = not(or(not(X55),not(X54))),
input ).
cnf(c37,plain,
not(or(not(X268),not(X269))) = and(X268,X269),
inference(resolution,status(thm),[and_defn,symmetry]) ).
cnf(c225,plain,
( ~ theorem(not(or(not(X1572),not(X1571))))
| theorem(and(X1572,X1571)) ),
inference(resolution,status(thm),[c37,c6]) ).
cnf(rule_2,axiom,
( theorem(X23)
| ~ theorem(implies(X24,X23))
| ~ theorem(X24) ),
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(c26,plain,
( theorem(or(X56,X57))
| ~ theorem(or(X57,X56)) ),
inference(resolution,status(thm),[c12,rule_2]) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X7,X7),X7)),
input ).
cnf(c8,plain,
theorem(implies(or(X10,X10),X10)),
inference(resolution,status(thm),[axiom_1_2,rule_1]) ).
cnf(implies_definition,axiom,
implies(X21,X22) = or(not(X21),X22),
input ).
cnf(c13,plain,
( ~ theorem(implies(X75,X76))
| theorem(or(not(X75),X76)) ),
inference(resolution,status(thm),[implies_definition,c6]) ).
cnf(c56,plain,
theorem(or(not(or(X79,X79)),X79)),
inference(resolution,status(thm),[c13,c8]) ).
cnf(c61,plain,
theorem(or(X82,not(or(X82,X82)))),
inference(resolution,status(thm),[c56,c26]) ).
cnf(c14,plain,
or(not(X44),X45) = implies(X44,X45),
inference(resolution,status(thm),[implies_definition,symmetry]) ).
cnf(c29,plain,
( ~ theorem(or(not(X102),X103))
| theorem(implies(X102,X103)) ),
inference(resolution,status(thm),[c14,c6]) ).
cnf(c84,plain,
theorem(implies(X288,not(or(not(X288),not(X288))))),
inference(resolution,status(thm),[c29,c61]) ).
cnf(c243,plain,
( theorem(not(or(not(X356),not(X356))))
| ~ theorem(X356) ),
inference(resolution,status(thm),[c84,rule_2]) ).
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(c9,plain,
theorem(implies(X12,or(X11,X12))),
inference(resolution,status(thm),[axiom_1_3,rule_1]) ).
cnf(c55,plain,
theorem(or(not(X77),or(X78,X77))),
inference(resolution,status(thm),[c13,c9]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X30,or(X28,X29)),or(X28,or(X30,X29)))),
input ).
cnf(c20,plain,
theorem(implies(or(X142,or(X141,X143)),or(X141,or(X142,X143)))),
inference(resolution,status(thm),[axiom_1_5,rule_1]) ).
cnf(c118,plain,
( theorem(or(X800,or(X801,X799)))
| ~ theorem(or(X801,or(X800,X799))) ),
inference(resolution,status(thm),[c20,rule_2]) ).
cnf(c788,plain,
theorem(or(X802,or(not(X803),X803))),
inference(resolution,status(thm),[c118,c55]) ).
cnf(c805,plain,
theorem(or(not(X804),X804)),
inference(resolution,status(thm),[c788,c16]) ).
cnf(c812,plain,
theorem(implies(X805,X805)),
inference(resolution,status(thm),[c805,c29]) ).
cnf(c817,plain,
theorem(not(or(not(implies(X8535,X8535)),not(implies(X8535,X8535))))),
inference(resolution,status(thm),[c812,c243]) ).
cnf(c24921,plain,
theorem(and(implies(X8538,X8538),implies(X8538,X8538))),
inference(resolution,status(thm),[c817,c225]) ).
cnf(c24932,plain,
theorem(equivalent(X8539,X8539)),
inference(resolution,status(thm),[c24921,c303]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c4,plain,
( X129 != X127
| X126 != X128
| equivalent(X129,X126) = equivalent(X127,X128) ),
eq_axiom ).
cnf(c104,plain,
( X190 != X191
| equivalent(X190,X189) = equivalent(X191,X189) ),
inference(resolution,status(thm),[c4,reflexivity]) ).
cnf(c165,plain,
equivalent(or(not(X1183),X1184),X1185) = equivalent(implies(X1183,X1184),X1185),
inference(resolution,status(thm),[c104,c14]) ).
cnf(c2277,plain,
( ~ theorem(equivalent(or(not(X26175),X26174),X26173))
| theorem(equivalent(implies(X26175,X26174),X26173)) ),
inference(resolution,status(thm),[c165,c6]) ).
cnf(c151480,plain,
theorem(equivalent(implies(X26318,X26319),or(not(X26318),X26319))),
inference(resolution,status(thm),[c2277,c24932]) ).
cnf(c153923,plain,
$false,
inference(resolution,status(thm),[c151480,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL296-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 13:00:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 248.90/249.15 # Version: 1.3
% 248.90/249.15 # SZS status Unsatisfiable
% 248.90/249.15 # SZS output start CNFRefutation
% See solution above
% 248.90/249.15
% 248.90/249.15 # Initial clauses : 21
% 248.90/249.15 # Processed clauses : 2464
% 248.90/249.15 # Factors computed : 0
% 248.90/249.15 # Resolvents computed: 153921
% 248.90/249.15 # Tautologies deleted: 4
% 248.90/249.15 # Forward subsumed : 7398
% 248.90/249.15 # Backward subsumed : 6
% 248.90/249.15 # -------- CPU Time ---------
% 248.90/249.15 # User time : 248.418 s
% 248.90/249.15 # System time : 0.323 s
% 248.90/249.15 # Total time : 248.741 s
%------------------------------------------------------------------------------