TSTP Solution File: LCL268-3 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL268-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:31:02 EDT 2024
% Result : Unsatisfiable 30.78s 30.99s
% Output : Refutation 30.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 27 unt; 0 nHn; 15 RR)
% Number of literals : 56 ( 10 equ; 17 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 : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 65 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(equivalent(p,p)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c6,axiom,
( X19 != X18
| ~ theorem(X19)
| theorem(X18) ),
theory(equality) ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
theory(equality) ).
cnf(equivalent_defn,axiom,
equivalent(X63,X64) = and(implies(X63,X64),implies(X64,X63)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
cnf(c48,plain,
and(implies(X301,X302),implies(X302,X301)) = equivalent(X301,X302),
inference(resolution,[status(thm)],[equivalent_defn,symmetry]) ).
cnf(c311,plain,
( ~ theorem(and(implies(X2764,X2765),implies(X2765,X2764)))
| theorem(equivalent(X2764,X2765)) ),
inference(resolution,[status(thm)],[c48,c6]) ).
cnf(and_defn,axiom,
and(X52,X53) = not(or(not(X52),not(X53))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).
cnf(c36,plain,
not(or(not(X234),not(X233))) = and(X234,X233),
inference(resolution,[status(thm)],[and_defn,symmetry]) ).
cnf(c243,plain,
( ~ theorem(not(or(not(X2110),not(X2109))))
| theorem(and(X2110,X2109)) ),
inference(resolution,[status(thm)],[c36,c6]) ).
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(X17,X16),or(X16,X17))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(c11,plain,
theorem(implies(or(X44,X43),or(X43,X44))),
inference(resolution,[status(thm)],[axiom_1_4,rule_1]) ).
cnf(c28,plain,
( theorem(or(X57,X58))
| ~ theorem(or(X58,X57)) ),
inference(resolution,[status(thm)],[c11,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(c5,axiom,
( X14 != X13
| ~ axiom(X14)
| axiom(X13) ),
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(c14,plain,
( ~ axiom(implies(X81,X80))
| axiom(or(not(X81),X80)) ),
inference(resolution,[status(thm)],[implies_definition,c5]) ).
cnf(c65,plain,
axiom(or(not(or(X84,X84)),X84)),
inference(resolution,[status(thm)],[c14,axiom_1_2]) ).
cnf(c68,plain,
theorem(or(not(or(X87,X87)),X87)),
inference(resolution,[status(thm)],[c65,rule_1]) ).
cnf(c71,plain,
theorem(or(X94,not(or(X94,X94)))),
inference(resolution,[status(thm)],[c68,c28]) ).
cnf(c13,plain,
or(not(X46),X45) = implies(X46,X45),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(c33,plain,
( ~ theorem(or(not(X116),X117))
| theorem(implies(X116,X117)) ),
inference(resolution,[status(thm)],[c13,c6]) ).
cnf(c101,plain,
theorem(implies(X310,not(or(not(X310),not(X310))))),
inference(resolution,[status(thm)],[c33,c71]) ).
cnf(c318,plain,
( theorem(not(or(not(X378),not(X378))))
| ~ theorem(X378) ),
inference(resolution,[status(thm)],[c101,rule_2]) ).
cnf(c8,plain,
theorem(implies(or(X10,X10),X10)),
inference(resolution,[status(thm)],[axiom_1_2,rule_1]) ).
cnf(c17,plain,
( theorem(X30)
| ~ theorem(or(X30,X30)) ),
inference(resolution,[status(thm)],[rule_2,c8]) ).
cnf(axiom_1_3,axiom,
axiom(implies(X9,or(X8,X9))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c62,plain,
axiom(or(not(X82),or(X83,X82))),
inference(resolution,[status(thm)],[c14,axiom_1_3]) ).
cnf(c67,plain,
theorem(or(not(X85),or(X86,X85))),
inference(resolution,[status(thm)],[c62,rule_1]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X29,or(X28,X27)),or(X28,or(X29,X27)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c20,plain,
theorem(implies(or(X128,or(X126,X127)),or(X126,or(X128,X127)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c113,plain,
( theorem(or(X768,or(X766,X767)))
| ~ theorem(or(X766,or(X768,X767))) ),
inference(resolution,[status(thm)],[c20,rule_2]) ).
cnf(c831,plain,
theorem(or(X770,or(not(X769),X769))),
inference(resolution,[status(thm)],[c113,c67]) ).
cnf(c841,plain,
theorem(or(not(X771),X771)),
inference(resolution,[status(thm)],[c831,c17]) ).
cnf(c849,plain,
theorem(implies(X772,X772)),
inference(resolution,[status(thm)],[c841,c33]) ).
cnf(c852,plain,
theorem(not(or(not(implies(X8937,X8937)),not(implies(X8937,X8937))))),
inference(resolution,[status(thm)],[c849,c318]) ).
cnf(c28497,plain,
theorem(and(implies(X8940,X8940),implies(X8940,X8940))),
inference(resolution,[status(thm)],[c852,c243]) ).
cnf(c28504,plain,
theorem(equivalent(X8941,X8941)),
inference(resolution,[status(thm)],[c28497,c311]) ).
cnf(c28525,plain,
$false,
inference(resolution,[status(thm)],[c28504,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL268-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 15:05:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 30.78/30.99 % Version: 1.5
% 30.78/30.99 % SZS status Unsatisfiable
% 30.78/30.99 % SZS output start CNFRefutation
% See solution above
% 30.78/30.99
% 30.78/30.99 % Initial clauses : 21
% 30.78/30.99 % Processed clauses : 1084
% 30.78/30.99 % Factors computed : 5
% 30.78/30.99 % Resolvents computed: 28516
% 30.78/30.99 % Tautologies deleted: 5
% 30.78/30.99 % Forward subsumed : 2269
% 30.78/30.99 % Backward subsumed : 16
% 30.78/30.99 % -------- CPU Time ---------
% 30.78/30.99 % User time : 30.555 s
% 30.78/30.99 % System time : 0.082 s
% 30.78/30.99 % Total time : 30.637 s
%------------------------------------------------------------------------------