TSTP Solution File: LCL176-3 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL176-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:30:42 EDT 2024
% Result : Unsatisfiable 0.50s 0.70s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 14 unt; 0 nHn; 11 RR)
% Number of literals : 35 ( 6 equ; 13 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 : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 39 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(p,p)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c4,axiom,
( X19 != X18
| ~ theorem(X19)
| theorem(X18) ),
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/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c12,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)],[c12,c4]) ).
cnf(rule_1,axiom,
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
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(rule_2,axiom,
( theorem(X24)
| ~ theorem(implies(X23,X24))
| ~ theorem(X23) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(c15,plain,
( theorem(X30)
| ~ theorem(or(X30,X30)) ),
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,
( X14 != X13
| ~ axiom(X14)
| axiom(X13) ),
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(X27,or(X28,X29)),or(X28,or(X27,X29)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c18,plain,
theorem(implies(or(X100,or(X99,X101)),or(X99,or(X100,X101)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c71,plain,
( theorem(or(X354,or(X356,X355)))
| ~ theorem(or(X356,or(X354,X355))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c268,plain,
theorem(or(X357,or(not(X358),X358))),
inference(resolution,[status(thm)],[c71,c57]) ).
cnf(c285,plain,
theorem(or(not(X359),X359)),
inference(resolution,[status(thm)],[c268,c15]) ).
cnf(c293,plain,
theorem(implies(X360,X360)),
inference(resolution,[status(thm)],[c285,c29]) ).
cnf(c295,plain,
$false,
inference(resolution,[status(thm)],[c293,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL176-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 15:16:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.50/0.70 % Version: 1.5
% 0.50/0.70 % SZS status Unsatisfiable
% 0.50/0.70 % SZS output start CNFRefutation
% See solution above
% 0.50/0.70
% 0.50/0.70 % Initial clauses : 17
% 0.50/0.70 % Processed clauses : 94
% 0.50/0.70 % Factors computed : 3
% 0.50/0.70 % Resolvents computed: 290
% 0.50/0.70 % Tautologies deleted: 4
% 0.50/0.70 % Forward subsumed : 61
% 0.50/0.70 % Backward subsumed : 0
% 0.50/0.70 % -------- CPU Time ---------
% 0.50/0.70 % User time : 0.312 s
% 0.50/0.70 % System time : 0.016 s
% 0.50/0.70 % Total time : 0.328 s
%------------------------------------------------------------------------------