TSTP Solution File: KRS010-1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KRS010-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 17:28:27 EDT 2024
% Result : Unsatisfiable 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 13
% Syntax : Number of clauses : 65 ( 13 unt; 36 nHn; 65 RR)
% Number of literals : 180 ( 0 equ; 70 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_2,negated_conjecture,
~ f(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_7,axiom,
( r3least(X4)
| ~ e(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(c0,plain,
r3least(exist),
inference(resolution,[status(thm)],[clause_7,clause_1]) ).
cnf(clause_20,axiom,
( ~ r3least(X20)
| ~ equalish(u2r3(X20),u2r1(X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_19,axiom,
( ~ r3least(X19)
| ~ equalish(u2r2(X19),u2r1(X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
cnf(clause_21,axiom,
( ~ r3least(X21)
| ~ equalish(u2r3(X21),u2r2(X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
cnf(clause_3,axiom,
( c(X5)
| d(X5)
| ~ a(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_24,axiom,
( r(X13,u2r3(X13))
| ~ r3least(X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
cnf(c6,plain,
r(exist,u2r3(exist)),
inference(resolution,[status(thm)],[clause_24,c0]) ).
cnf(clause_8,axiom,
( a(X16)
| ~ e(X15)
| ~ r(X15,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(c9,plain,
( a(u2r3(exist))
| ~ e(exist) ),
inference(resolution,[status(thm)],[clause_8,c6]) ).
cnf(c13,plain,
a(u2r3(exist)),
inference(resolution,[status(thm)],[c9,clause_1]) ).
cnf(c14,plain,
( c(u2r3(exist))
| d(u2r3(exist)) ),
inference(resolution,[status(thm)],[c13,clause_3]) ).
cnf(clause_23,axiom,
( r(X12,u2r2(X12))
| ~ r3least(X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
cnf(c4,plain,
r(exist,u2r2(exist)),
inference(resolution,[status(thm)],[clause_23,c0]) ).
cnf(c10,plain,
( a(u2r2(exist))
| ~ e(exist) ),
inference(resolution,[status(thm)],[clause_8,c4]) ).
cnf(c15,plain,
a(u2r2(exist)),
inference(resolution,[status(thm)],[c10,clause_1]) ).
cnf(c16,plain,
( c(u2r2(exist))
| d(u2r2(exist)) ),
inference(resolution,[status(thm)],[c15,clause_3]) ).
cnf(clause_6,axiom,
( equalish(X10,X11)
| ~ e(X9)
| ~ r(X9,X10)
| ~ r(X9,X11)
| ~ c(X10)
| ~ c(X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(c5,plain,
( equalish(X49,u2r2(exist))
| ~ e(exist)
| ~ r(exist,X49)
| ~ c(X49)
| ~ c(u2r2(exist)) ),
inference(resolution,[status(thm)],[c4,clause_6]) ).
cnf(c59,plain,
( equalish(X65,u2r2(exist))
| ~ e(exist)
| ~ r(exist,X65)
| ~ c(X65)
| d(u2r2(exist)) ),
inference(resolution,[status(thm)],[c5,c16]) ).
cnf(c95,plain,
( equalish(u2r3(exist),u2r2(exist))
| ~ e(exist)
| ~ c(u2r3(exist))
| d(u2r2(exist)) ),
inference(resolution,[status(thm)],[c59,c6]) ).
cnf(c112,plain,
( equalish(u2r3(exist),u2r2(exist))
| ~ e(exist)
| d(u2r2(exist))
| d(u2r3(exist)) ),
inference(resolution,[status(thm)],[c95,c14]) ).
cnf(c171,plain,
( equalish(u2r3(exist),u2r2(exist))
| d(u2r2(exist))
| d(u2r3(exist)) ),
inference(resolution,[status(thm)],[c112,clause_1]) ).
cnf(c172,plain,
( d(u2r2(exist))
| d(u2r3(exist))
| ~ r3least(exist) ),
inference(resolution,[status(thm)],[c171,clause_21]) ).
cnf(c181,plain,
( d(u2r2(exist))
| d(u2r3(exist)) ),
inference(resolution,[status(thm)],[c172,c0]) ).
cnf(clause_22,axiom,
( r(X8,u2r1(X8))
| ~ r3least(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
cnf(c1,plain,
r(exist,u2r1(exist)),
inference(resolution,[status(thm)],[clause_22,c0]) ).
cnf(clause_31,axiom,
( f(X43)
| equalish(X44,X45)
| ~ r(X43,X44)
| ~ r(X43,X45)
| ~ d(X44)
| ~ d(X45) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31) ).
cnf(c45,plain,
( f(exist)
| equalish(X60,u2r1(exist))
| ~ r(exist,X60)
| ~ d(X60)
| ~ d(u2r1(exist)) ),
inference(resolution,[status(thm)],[clause_31,c1]) ).
cnf(c8,plain,
( a(u2r1(exist))
| ~ e(exist) ),
inference(resolution,[status(thm)],[clause_8,c1]) ).
cnf(c11,plain,
a(u2r1(exist)),
inference(resolution,[status(thm)],[c8,clause_1]) ).
cnf(c12,plain,
( c(u2r1(exist))
| d(u2r1(exist)) ),
inference(resolution,[status(thm)],[c11,clause_3]) ).
cnf(c3,plain,
( equalish(X48,u2r1(exist))
| ~ e(exist)
| ~ r(exist,X48)
| ~ c(X48)
| ~ c(u2r1(exist)) ),
inference(resolution,[status(thm)],[clause_6,c1]) ).
cnf(c54,plain,
( equalish(X64,u2r1(exist))
| ~ e(exist)
| ~ r(exist,X64)
| ~ c(X64)
| d(u2r1(exist)) ),
inference(resolution,[status(thm)],[c3,c12]) ).
cnf(c92,plain,
( equalish(u2r3(exist),u2r1(exist))
| ~ e(exist)
| ~ c(u2r3(exist))
| d(u2r1(exist)) ),
inference(resolution,[status(thm)],[c54,c6]) ).
cnf(c109,plain,
( equalish(u2r3(exist),u2r1(exist))
| ~ e(exist)
| d(u2r1(exist))
| d(u2r3(exist)) ),
inference(resolution,[status(thm)],[c92,c14]) ).
cnf(c121,plain,
( equalish(u2r3(exist),u2r1(exist))
| d(u2r1(exist))
| d(u2r3(exist)) ),
inference(resolution,[status(thm)],[c109,clause_1]) ).
cnf(c122,plain,
( d(u2r1(exist))
| d(u2r3(exist))
| ~ r3least(exist) ),
inference(resolution,[status(thm)],[c121,clause_20]) ).
cnf(c131,plain,
( d(u2r1(exist))
| d(u2r3(exist)) ),
inference(resolution,[status(thm)],[c122,c0]) ).
cnf(c135,plain,
( d(u2r3(exist))
| f(exist)
| equalish(X72,u2r1(exist))
| ~ r(exist,X72)
| ~ d(X72) ),
inference(resolution,[status(thm)],[c131,c45]) ).
cnf(c142,plain,
( d(u2r3(exist))
| f(exist)
| equalish(u2r2(exist),u2r1(exist))
| ~ d(u2r2(exist)) ),
inference(resolution,[status(thm)],[c135,c4]) ).
cnf(c434,plain,
( d(u2r3(exist))
| f(exist)
| equalish(u2r2(exist),u2r1(exist)) ),
inference(resolution,[status(thm)],[c142,c181]) ).
cnf(c451,plain,
( d(u2r3(exist))
| f(exist)
| ~ r3least(exist) ),
inference(resolution,[status(thm)],[c434,clause_19]) ).
cnf(c452,plain,
( d(u2r3(exist))
| f(exist) ),
inference(resolution,[status(thm)],[c451,c0]) ).
cnf(c461,plain,
d(u2r3(exist)),
inference(resolution,[status(thm)],[c452,clause_2]) ).
cnf(c93,plain,
( equalish(u2r2(exist),u2r1(exist))
| ~ e(exist)
| ~ c(u2r2(exist))
| d(u2r1(exist)) ),
inference(resolution,[status(thm)],[c54,c4]) ).
cnf(c47,plain,
( f(exist)
| equalish(X62,u2r2(exist))
| ~ r(exist,X62)
| ~ d(X62)
| ~ d(u2r2(exist)) ),
inference(resolution,[status(thm)],[clause_31,c4]) ).
cnf(c90,plain,
( f(exist)
| equalish(X70,u2r2(exist))
| ~ r(exist,X70)
| ~ d(X70)
| c(u2r2(exist)) ),
inference(resolution,[status(thm)],[c47,c16]) ).
cnf(c107,plain,
( f(exist)
| equalish(u2r3(exist),u2r2(exist))
| ~ d(u2r3(exist))
| c(u2r2(exist)) ),
inference(resolution,[status(thm)],[c90,c6]) ).
cnf(c139,plain,
( d(u2r1(exist))
| f(exist)
| equalish(u2r3(exist),u2r2(exist))
| c(u2r2(exist)) ),
inference(resolution,[status(thm)],[c131,c107]) ).
cnf(c387,plain,
( d(u2r1(exist))
| f(exist)
| c(u2r2(exist))
| ~ r3least(exist) ),
inference(resolution,[status(thm)],[c139,clause_21]) ).
cnf(c392,plain,
( d(u2r1(exist))
| f(exist)
| c(u2r2(exist)) ),
inference(resolution,[status(thm)],[c387,c0]) ).
cnf(c401,plain,
( d(u2r1(exist))
| c(u2r2(exist)) ),
inference(resolution,[status(thm)],[c392,clause_2]) ).
cnf(c410,plain,
( d(u2r1(exist))
| equalish(u2r2(exist),u2r1(exist))
| ~ e(exist) ),
inference(resolution,[status(thm)],[c401,c93]) ).
cnf(c427,plain,
( d(u2r1(exist))
| equalish(u2r2(exist),u2r1(exist)) ),
inference(resolution,[status(thm)],[c410,clause_1]) ).
cnf(c431,plain,
( d(u2r1(exist))
| ~ r3least(exist) ),
inference(resolution,[status(thm)],[c427,clause_19]) ).
cnf(c432,plain,
d(u2r1(exist)),
inference(resolution,[status(thm)],[c431,c0]) ).
cnf(c438,plain,
( f(exist)
| equalish(X86,u2r1(exist))
| ~ r(exist,X86)
| ~ d(X86) ),
inference(resolution,[status(thm)],[c432,c45]) ).
cnf(c440,plain,
( f(exist)
| equalish(u2r3(exist),u2r1(exist))
| ~ d(u2r3(exist)) ),
inference(resolution,[status(thm)],[c438,c6]) ).
cnf(c480,plain,
( f(exist)
| equalish(u2r3(exist),u2r1(exist)) ),
inference(resolution,[status(thm)],[c440,c461]) ).
cnf(c486,plain,
( f(exist)
| ~ r3least(exist) ),
inference(resolution,[status(thm)],[c480,clause_20]) ).
cnf(c487,plain,
f(exist),
inference(resolution,[status(thm)],[c486,c0]) ).
cnf(c492,plain,
$false,
inference(resolution,[status(thm)],[c487,clause_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS010-1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n012.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 : Thu May 9 00:06:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.55/0.74 % Version: 1.5
% 0.55/0.74 % SZS status Unsatisfiable
% 0.55/0.74 % SZS output start CNFRefutation
% See solution above
% 0.55/0.74
% 0.55/0.74 % Initial clauses : 31
% 0.55/0.74 % Processed clauses : 154
% 0.55/0.74 % Factors computed : 11
% 0.55/0.74 % Resolvents computed: 482
% 0.55/0.74 % Tautologies deleted: 2
% 0.55/0.74 % Forward subsumed : 133
% 0.55/0.74 % Backward subsumed : 89
% 0.55/0.74 % -------- CPU Time ---------
% 0.55/0.74 % User time : 0.371 s
% 0.55/0.74 % System time : 0.017 s
% 0.55/0.74 % Total time : 0.388 s
%------------------------------------------------------------------------------