TSTP Solution File: LCL189-3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL189-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 13:52:42 EDT 2022
% Result : Unsatisfiable 76.10s 76.34s
% Output : Refutation 76.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(or(not(p),implies(implies(p,q),q))),
input ).
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(c10,plain,
theorem(implies(or(X39,X40),or(X40,X39))),
inference(resolution,status(thm),[axiom_1_4,rule_1]) ).
cnf(c23,plain,
( theorem(or(X54,X55))
| ~ theorem(or(X55,X54)) ),
inference(resolution,status(thm),[c10,rule_2]) ).
cnf(c4,plain,
( X17 != X16
| ~ theorem(X17)
| theorem(X16) ),
eq_axiom ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
eq_axiom ).
cnf(implies_definition,axiom,
implies(X21,X22) = or(not(X21),X22),
input ).
cnf(c13,plain,
or(not(X45),X44) = implies(X45,X44),
inference(resolution,status(thm),[implies_definition,symmetry]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c1,plain,
( X79 != X78
| X80 != X81
| or(X79,X80) = or(X78,X81) ),
eq_axiom ).
cnf(c51,plain,
( X146 != X147
| or(X146,X145) = or(X147,X145) ),
inference(resolution,status(thm),[c1,reflexivity]) ).
cnf(c108,plain,
or(or(not(X582),X581),X580) = or(implies(X582,X581),X580),
inference(resolution,status(thm),[c51,c13]) ).
cnf(c665,plain,
( ~ theorem(or(or(not(X5756),X5755),X5757))
| theorem(or(implies(X5756,X5755),X5757)) ),
inference(resolution,status(thm),[c108,c4]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X29,or(X28,X30)),or(X28,or(X29,X30)))),
input ).
cnf(c18,plain,
theorem(implies(or(X100,or(X101,X102)),or(X101,or(X100,X102)))),
inference(resolution,status(thm),[axiom_1_5,rule_1]) ).
cnf(c71,plain,
( theorem(or(X402,or(X400,X401)))
| ~ theorem(or(X400,or(X402,X401))) ),
inference(resolution,status(thm),[c18,rule_2]) ).
cnf(c11,plain,
( ~ theorem(implies(X76,X75))
| theorem(or(not(X76),X75)) ),
inference(resolution,status(thm),[implies_definition,c4]) ).
cnf(c29,plain,
( ~ theorem(or(not(X107),X106))
| theorem(implies(X107,X106)) ),
inference(resolution,status(thm),[c13,c4]) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X7,X7),X7)),
input ).
cnf(c6,plain,
theorem(implies(or(X10,X10),X10)),
inference(resolution,status(thm),[axiom_1_2,rule_1]) ).
cnf(c14,plain,
( theorem(X25)
| ~ theorem(or(X25,X25)) ),
inference(resolution,status(thm),[rule_2,c6]) ).
cnf(axiom_1_3,axiom,
axiom(implies(X9,or(X8,X9))),
input ).
cnf(c7,plain,
theorem(implies(X12,or(X11,X12))),
inference(resolution,status(thm),[axiom_1_3,rule_1]) ).
cnf(c47,plain,
theorem(or(not(X82),or(X83,X82))),
inference(resolution,status(thm),[c11,c7]) ).
cnf(c321,plain,
theorem(or(X403,or(not(X404),X404))),
inference(resolution,status(thm),[c71,c47]) ).
cnf(c344,plain,
theorem(or(not(X405),X405)),
inference(resolution,status(thm),[c321,c14]) ).
cnf(c350,plain,
theorem(implies(X406,X406)),
inference(resolution,status(thm),[c344,c29]) ).
cnf(c0,plain,
( X65 != X64
| X66 != X67
| implies(X65,X66) = implies(X64,X67) ),
eq_axiom ).
cnf(c43,plain,
( X130 != X128
| implies(X130,X129) = implies(X128,X129) ),
inference(resolution,status(thm),[c0,reflexivity]) ).
cnf(c93,plain,
implies(or(not(X491),X490),X492) = implies(implies(X491,X490),X492),
inference(resolution,status(thm),[c43,c13]) ).
cnf(c529,plain,
( ~ theorem(implies(or(not(X4487),X4486),X4488))
| theorem(implies(implies(X4487,X4486),X4488)) ),
inference(resolution,status(thm),[c93,c4]) ).
cnf(c8387,plain,
theorem(implies(implies(X4524,X4525),or(not(X4524),X4525))),
inference(resolution,status(thm),[c529,c350]) ).
cnf(c8508,plain,
theorem(or(not(implies(X9639,X9640)),or(not(X9639),X9640))),
inference(resolution,status(thm),[c8387,c11]) ).
cnf(c27726,plain,
theorem(or(not(X12533),or(not(implies(X12533,X12532)),X12532))),
inference(resolution,status(thm),[c8508,c71]) ).
cnf(c34331,plain,
theorem(or(or(not(implies(X16157,X16156)),X16156),not(X16157))),
inference(resolution,status(thm),[c27726,c23]) ).
cnf(c50858,plain,
theorem(or(implies(implies(X16159,X16158),X16158),not(X16159))),
inference(resolution,status(thm),[c34331,c665]) ).
cnf(c50892,plain,
theorem(or(not(X16192),implies(implies(X16192,X16191),X16191))),
inference(resolution,status(thm),[c50858,c23]) ).
cnf(c52307,plain,
$false,
inference(resolution,status(thm),[c50892,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL189-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Sun Jul 3 19:56:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 76.10/76.34 # Version: 1.3
% 76.10/76.34 # SZS status Unsatisfiable
% 76.10/76.34 # SZS output start CNFRefutation
% See solution above
% 76.10/76.34
% 76.10/76.34 # Initial clauses : 17
% 76.10/76.34 # Processed clauses : 1553
% 76.10/76.34 # Factors computed : 0
% 76.10/76.34 # Resolvents computed: 52327
% 76.10/76.34 # Tautologies deleted: 4
% 76.10/76.34 # Forward subsumed : 4516
% 76.10/76.34 # Backward subsumed : 5
% 76.10/76.34 # -------- CPU Time ---------
% 76.10/76.34 # User time : 75.868 s
% 76.10/76.34 # System time : 0.106 s
% 76.10/76.34 # Total time : 75.974 s
%------------------------------------------------------------------------------