TSTP Solution File: LCL180-3 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL180-3 : 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 17:30:43 EDT 2024
% Result : Unsatisfiable 3.72s 3.89s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 23 unt; 0 nHn; 13 RR)
% Number of literals : 50 ( 6 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 62 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(not(not(p)),p)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c4,axiom,
( X16 != X17
| ~ theorem(X16)
| theorem(X17) ),
theory(equality) ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
theory(equality) ).
cnf(implies_definition,axiom,
implies(X21,X22) = or(not(X21),X22),
file('/export/starexec/sandbox2/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(c29,plain,
( ~ theorem(or(not(X102),X103))
| theorem(implies(X102,X103)) ),
inference(resolution,[status(thm)],[c13,c4]) ).
cnf(rule_2,axiom,
( theorem(X23)
| ~ theorem(implies(X24,X23))
| ~ theorem(X24) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(rule_1,axiom,
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X18,X19),or(X19,X18))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(c10,plain,
theorem(implies(or(X43,X44),or(X44,X43))),
inference(resolution,[status(thm)],[axiom_1_4,rule_1]) ).
cnf(c26,plain,
( theorem(or(X60,X59))
| ~ theorem(or(X59,X60)) ),
inference(resolution,[status(thm)],[c10,rule_2]) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X7,X7),X7)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(c6,plain,
theorem(implies(or(X10,X10),X10)),
inference(resolution,[status(thm)],[axiom_1_2,rule_1]) ).
cnf(c15,plain,
( theorem(X27)
| ~ theorem(or(X27,X27)) ),
inference(resolution,[status(thm)],[rule_2,c6]) ).
cnf(axiom_1_3,axiom,
axiom(implies(X8,or(X9,X8))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c3,axiom,
( X13 != X14
| ~ axiom(X13)
| axiom(X14) ),
theory(equality) ).
cnf(c11,plain,
( ~ axiom(implies(X80,X81))
| axiom(or(not(X80),X81)) ),
inference(resolution,[status(thm)],[implies_definition,c3]) ).
cnf(c54,plain,
axiom(or(not(X83),or(X82,X83))),
inference(resolution,[status(thm)],[c11,axiom_1_3]) ).
cnf(c57,plain,
theorem(or(not(X86),or(X85,X86))),
inference(resolution,[status(thm)],[c54,rule_1]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X28,or(X30,X29)),or(X30,or(X28,X29)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c18,plain,
theorem(implies(or(X99,or(X101,X100)),or(X101,or(X99,X100)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c72,plain,
( theorem(or(X373,or(X374,X372)))
| ~ theorem(or(X374,or(X373,X372))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c334,plain,
theorem(or(X376,or(not(X375),X375))),
inference(resolution,[status(thm)],[c72,c57]) ).
cnf(c353,plain,
theorem(or(not(X377),X377)),
inference(resolution,[status(thm)],[c334,c15]) ).
cnf(c360,plain,
theorem(or(X380,not(X380))),
inference(resolution,[status(thm)],[c353,c26]) ).
cnf(c370,plain,
theorem(implies(X400,not(not(X400)))),
inference(resolution,[status(thm)],[c360,c29]) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X39,X41),implies(or(X40,X39),or(X40,X41)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(c24,plain,
theorem(implies(implies(X139,X138),implies(or(X137,X139),or(X137,X138)))),
inference(resolution,[status(thm)],[axiom_1_6,rule_1]) ).
cnf(c105,plain,
( theorem(implies(or(X575,X573),or(X575,X574)))
| ~ theorem(implies(X573,X574)) ),
inference(resolution,[status(thm)],[c24,rule_2]) ).
cnf(c750,plain,
theorem(implies(or(X2554,X2555),or(X2554,not(not(X2555))))),
inference(resolution,[status(thm)],[c105,c370]) ).
cnf(c3418,plain,
( theorem(or(X2853,not(not(X2852))))
| ~ theorem(or(X2853,X2852)) ),
inference(resolution,[status(thm)],[c750,rule_2]) ).
cnf(c4019,plain,
theorem(or(X2855,not(not(not(X2855))))),
inference(resolution,[status(thm)],[c3418,c360]) ).
cnf(c4034,plain,
theorem(or(not(not(not(X2856))),X2856)),
inference(resolution,[status(thm)],[c4019,c26]) ).
cnf(c4037,plain,
theorem(implies(not(not(X2860)),X2860)),
inference(resolution,[status(thm)],[c4034,c29]) ).
cnf(c4053,plain,
$false,
inference(resolution,[status(thm)],[c4037,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL180-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n011.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 : 300
% 0.13/0.34 % DateTime : Wed May 8 15:09:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 3.72/3.89 % Version: 1.5
% 3.72/3.89 % SZS status Unsatisfiable
% 3.72/3.89 % SZS output start CNFRefutation
% See solution above
% 3.72/3.89
% 3.72/3.89 % Initial clauses : 17
% 3.72/3.89 % Processed clauses : 450
% 3.72/3.89 % Factors computed : 3
% 3.72/3.89 % Resolvents computed: 4054
% 3.72/3.89 % Tautologies deleted: 5
% 3.72/3.89 % Forward subsumed : 590
% 3.72/3.89 % Backward subsumed : 4
% 3.72/3.89 % -------- CPU Time ---------
% 3.72/3.89 % User time : 3.522 s
% 3.72/3.89 % System time : 0.016 s
% 3.72/3.89 % Total time : 3.538 s
%------------------------------------------------------------------------------