TSTP Solution File: LCL211-3 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL211-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 17:30:51 EDT 2024
% Result : Unsatisfiable 136.93s 137.17s
% Output : Refutation 136.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 50 ( 30 unt; 0 nHn; 19 RR)
% Number of literals : 75 ( 19 equ; 26 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 105 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(not(q),implies(or(p,q),p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_2,axiom,
( theorem(X24)
| ~ theorem(implies(X23,X24))
| ~ theorem(X23) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
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/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c11,plain,
or(not(X46),X45) = implies(X46,X45),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(c27,plain,
( ~ theorem(or(not(X102),X103))
| theorem(implies(X102,X103)) ),
inference(resolution,[status(thm)],[c11,c4]) ).
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(X44,X43),or(X43,X44))),
inference(resolution,[status(thm)],[axiom_1_4,rule_1]) ).
cnf(c26,plain,
( theorem(or(X56,X55))
| ~ theorem(or(X55,X56)) ),
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(c14,plain,
( theorem(X25)
| ~ theorem(or(X25,X25)) ),
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(c12,plain,
( ~ axiom(implies(X77,X76))
| axiom(or(not(X77),X76)) ),
inference(resolution,[status(thm)],[implies_definition,c3]) ).
cnf(c48,plain,
axiom(or(not(X82),or(X83,X82))),
inference(resolution,[status(thm)],[c12,axiom_1_3]) ).
cnf(c57,plain,
theorem(or(not(X86),or(X85,X86))),
inference(resolution,[status(thm)],[c48,rule_1]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X29,or(X30,X28)),or(X30,or(X29,X28)))),
file('/export/starexec/sandbox2/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(c70,plain,
( theorem(or(X352,or(X353,X351)))
| ~ theorem(or(X353,or(X352,X351))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(c310,plain,
theorem(or(X355,or(not(X354),X354))),
inference(resolution,[status(thm)],[c70,c57]) ).
cnf(c329,plain,
theorem(or(not(X356),X356)),
inference(resolution,[status(thm)],[c310,c14]) ).
cnf(c338,plain,
theorem(or(X359,not(X359))),
inference(resolution,[status(thm)],[c329,c26]) ).
cnf(c343,plain,
theorem(implies(X381,not(not(X381)))),
inference(resolution,[status(thm)],[c338,c27]) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X41,X42),implies(or(X40,X41),or(X40,X42)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(c24,plain,
theorem(implies(implies(X137,X139),implies(or(X138,X137),or(X138,X139)))),
inference(resolution,[status(thm)],[axiom_1_6,rule_1]) ).
cnf(c103,plain,
( theorem(implies(or(X553,X554),or(X553,X552)))
| ~ theorem(implies(X554,X552)) ),
inference(resolution,[status(thm)],[c24,rule_2]) ).
cnf(c736,plain,
theorem(implies(or(X2551,X2552),or(X2551,not(not(X2552))))),
inference(resolution,[status(thm)],[c103,c343]) ).
cnf(c3419,plain,
( theorem(or(X2851,not(not(X2850))))
| ~ theorem(or(X2851,X2850)) ),
inference(resolution,[status(thm)],[c736,rule_2]) ).
cnf(c13,plain,
( ~ theorem(implies(X91,X90))
| theorem(or(not(X91),X90)) ),
inference(resolution,[status(thm)],[implies_definition,c4]) ).
cnf(c65,plain,
theorem(or(not(or(X172,X173)),or(X173,X172))),
inference(resolution,[status(thm)],[c13,c10]) ).
cnf(c314,plain,
theorem(or(X586,or(not(or(X585,X586)),X585))),
inference(resolution,[status(thm)],[c70,c65]) ).
cnf(c874,plain,
theorem(or(or(not(or(X762,X761)),X762),X761)),
inference(resolution,[status(thm)],[c314,c26]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X79 != X78
| X80 != X81
| or(X79,X80) = or(X78,X81) ),
theory(equality) ).
cnf(c56,plain,
( X147 != X148
| or(X147,X149) = or(X148,X149) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(c112,plain,
or(or(not(X635),X636),X637) = or(implies(X635,X636),X637),
inference(resolution,[status(thm)],[c56,c11]) ).
cnf(c1102,plain,
( ~ theorem(or(or(not(X10674),X10672),X10673))
| theorem(or(implies(X10674,X10672),X10673)) ),
inference(resolution,[status(thm)],[c112,c4]) ).
cnf(c25215,plain,
theorem(or(implies(or(X10753,X10754),X10753),X10754)),
inference(resolution,[status(thm)],[c1102,c874]) ).
cnf(c26432,plain,
theorem(or(implies(or(X19138,X19137),X19138),not(not(X19137)))),
inference(resolution,[status(thm)],[c25215,c3419]) ).
cnf(c0,axiom,
( X63 != X62
| X64 != X65
| implies(X63,X64) = implies(X62,X65) ),
theory(equality) ).
cnf(c42,plain,
( X233 != X235
| implies(X233,or(not(X236),X234)) = implies(X235,implies(X236,X234)) ),
inference(resolution,[status(thm)],[c0,c11]) ).
cnf(c185,plain,
implies(X1229,or(not(X1230),X1228)) = implies(X1229,implies(X1230,X1228)),
inference(resolution,[status(thm)],[c42,reflexivity]) ).
cnf(c1853,plain,
( ~ theorem(implies(X21105,or(not(X21104),X21106)))
| theorem(implies(X21105,implies(X21104,X21106))) ),
inference(resolution,[status(thm)],[c185,c4]) ).
cnf(c69259,plain,
theorem(implies(or(X21173,not(X21174)),implies(X21174,X21173))),
inference(resolution,[status(thm)],[c1853,c10]) ).
cnf(c69517,plain,
( theorem(implies(X21191,X21192))
| ~ theorem(or(X21192,not(X21191))) ),
inference(resolution,[status(thm)],[c69259,rule_2]) ).
cnf(c69867,plain,
theorem(implies(not(X21463),implies(or(X21464,X21463),X21464))),
inference(resolution,[status(thm)],[c69517,c26432]) ).
cnf(c71555,plain,
$false,
inference(resolution,[status(thm)],[c69867,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL211-3 : TPTP v8.1.2. Released v2.3.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed May 8 14:22:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 136.93/137.17 % Version: 1.5
% 136.93/137.17 % SZS status Unsatisfiable
% 136.93/137.17 % SZS output start CNFRefutation
% See solution above
% 136.93/137.17
% 136.93/137.17 % Initial clauses : 17
% 136.93/137.17 % Processed clauses : 1919
% 136.93/137.17 % Factors computed : 3
% 136.93/137.17 % Resolvents computed: 71577
% 136.93/137.17 % Tautologies deleted: 5
% 136.93/137.17 % Forward subsumed : 6216
% 136.93/137.17 % Backward subsumed : 17
% 136.93/137.17 % -------- CPU Time ---------
% 136.93/137.17 % User time : 136.636 s
% 136.93/137.17 % System time : 0.143 s
% 136.93/137.17 % Total time : 136.779 s
%------------------------------------------------------------------------------