TSTP Solution File: LCL321-3 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL321-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 May 9 17:31:07 EDT 2024
% Result : Unsatisfiable 37.83s 38.00s
% Output : Refutation 37.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 33 ( 21 unt; 0 nHn; 12 RR)
% Number of literals : 49 ( 13 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 74 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(or(implies(p,q),implies(p,not(q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c4,axiom,
( X17 != X16
| ~ theorem(X17)
| theorem(X16) ),
theory(equality) ).
cnf(symmetry,axiom,
( X5 != X4
| X4 = X5 ),
theory(equality) ).
cnf(implies_definition,axiom,
implies(X22,X21) = or(not(X22),X21),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c13,plain,
or(not(X45),X46) = implies(X45,X46),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X79 != X78
| X81 != X80
| or(X79,X81) = or(X78,X80) ),
theory(equality) ).
cnf(c54,plain,
( X148 != X149
| or(X148,X147) = or(X149,X147) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(c113,plain,
or(or(not(X640),X638),X639) = or(implies(X640,X638),X639),
inference(resolution,[status(thm)],[c54,c13]) ).
cnf(c1021,plain,
( ~ theorem(or(or(not(X9393),X9394),X9395))
| theorem(or(implies(X9393,X9394),X9395)) ),
inference(resolution,[status(thm)],[c113,c4]) ).
cnf(rule_2,axiom,
( theorem(X24)
| ~ theorem(implies(X23,X24))
| ~ theorem(X23) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(rule_1,axiom,
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X19,X18),or(X18,X19))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(c10,plain,
theorem(implies(or(X44,X43),or(X43,X44))),
inference(resolution,[status(thm)],[axiom_1_4,rule_1]) ).
cnf(c26,plain,
( theorem(or(X55,X56))
| ~ theorem(or(X56,X55)) ),
inference(resolution,[status(thm)],[c10,rule_2]) ).
cnf(axiom_1_3,axiom,
axiom(implies(X9,or(X8,X9))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c7,plain,
theorem(implies(X12,or(X11,X12))),
inference(resolution,[status(thm)],[axiom_1_3,rule_1]) ).
cnf(c15,plain,
( theorem(or(X27,X26))
| ~ theorem(X26) ),
inference(resolution,[status(thm)],[rule_2,c7]) ).
cnf(c3,axiom,
( X14 != X13
| ~ axiom(X14)
| axiom(X13) ),
theory(equality) ).
cnf(c11,plain,
( ~ axiom(implies(X76,X77))
| axiom(or(not(X76),X77)) ),
inference(resolution,[status(thm)],[implies_definition,c3]) ).
cnf(c52,plain,
axiom(or(not(X84),or(X83,X84))),
inference(resolution,[status(thm)],[c11,axiom_1_3]) ).
cnf(c58,plain,
theorem(or(not(X86),or(X87,X86))),
inference(resolution,[status(thm)],[c52,rule_1]) ).
cnf(c61,plain,
theorem(or(or(X91,X92),not(X92))),
inference(resolution,[status(thm)],[c58,c26]) ).
cnf(c69,plain,
theorem(or(X183,or(or(X182,X181),not(X181)))),
inference(resolution,[status(thm)],[c61,c15]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X30,or(X29,X28)),or(X29,or(X30,X28)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c18,plain,
theorem(implies(or(X101,or(X100,X99)),or(X100,or(X101,X99)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c72,plain,
( theorem(or(X390,or(X391,X389)))
| ~ theorem(or(X391,or(X390,X389))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c353,plain,
theorem(or(or(X707,X706),or(X708,not(X706)))),
inference(resolution,[status(thm)],[c72,c69]) ).
cnf(c1203,plain,
theorem(or(or(X852,not(X851)),or(X853,X851))),
inference(resolution,[status(thm)],[c353,c26]) ).
cnf(c23156,plain,
theorem(or(implies(X9681,not(X9680)),or(X9682,X9680))),
inference(resolution,[status(thm)],[c1021,c1203]) ).
cnf(c26280,plain,
theorem(or(or(X10028,X10027),implies(X10029,not(X10027)))),
inference(resolution,[status(thm)],[c23156,c26]) ).
cnf(c29841,plain,
theorem(or(implies(X10390,X10389),implies(X10391,not(X10389)))),
inference(resolution,[status(thm)],[c26280,c1021]) ).
cnf(c33380,plain,
$false,
inference(resolution,[status(thm)],[c29841,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : LCL321-3 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 15:01:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 37.83/38.00 % Version: 1.5
% 37.83/38.00 % SZS status Unsatisfiable
% 37.83/38.00 % SZS output start CNFRefutation
% See solution above
% 37.83/38.00
% 37.83/38.00 % Initial clauses : 17
% 37.83/38.00 % Processed clauses : 1170
% 37.83/38.00 % Factors computed : 3
% 37.83/38.00 % Resolvents computed: 33380
% 37.83/38.00 % Tautologies deleted: 5
% 37.83/38.00 % Forward subsumed : 3026
% 37.83/38.00 % Backward subsumed : 8
% 37.83/38.00 % -------- CPU Time ---------
% 37.83/38.00 % User time : 37.558 s
% 37.83/38.00 % System time : 0.075 s
% 37.83/38.00 % Total time : 37.633 s
%------------------------------------------------------------------------------