%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KRS013-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 17:28:28 EDT 2024
% Result : Unsatisfiable 1.16s 1.37s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of clauses : 36 ( 13 unt; 8 nHn; 30 RR)
% Number of literals : 71 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_3,axiom,
( t2least(X2)
| ~ c(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,negated_conjecture,
~ f(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_29,axiom,
( f(X17)
| r(X17,u6r1(X17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
cnf(c5,plain,
r(exist,u6r1(exist)),
inference(resolution,[status(thm)],[clause_29,clause_2]) ).
cnf(clause_16,axiom,
( c(X32)
| ~ e(X33)
| ~ r(X33,X32)
| ~ s2least(X32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
cnf(c24,plain,
( c(u6r1(exist))
| ~ e(exist)
| ~ s2least(u6r1(exist)) ),
inference(resolution,[status(thm)],[clause_16,c5]) ).
cnf(clause_28,axiom,
( f(X7)
| ~ s1most(u6r1(X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
cnf(clause_31,axiom,
( s1most(X35)
| ~ equalish(u7r2(X35),u7r1(X35)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
cnf(clause_33,axiom,
( s1most(X22)
| s(X22,u7r2(X22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
cnf(clause_32,axiom,
( s1most(X21)
| s(X21,u7r1(X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
cnf(clause_26,axiom,
( s2least(X61)
| equalish(X60,X59)
| ~ s(X61,X60)
| ~ s(X61,X59) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
cnf(c85,plain,
( s2least(X170)
| equalish(X169,u7r1(X170))
| ~ s(X170,X169)
| s1most(X170) ),
inference(resolution,[status(thm)],[clause_26,clause_32]) ).
cnf(c277,plain,
( s2least(X172)
| equalish(u7r2(X172),u7r1(X172))
| s1most(X172) ),
inference(resolution,[status(thm)],[c85,clause_33]) ).
cnf(c282,plain,
( s2least(X173)
| s1most(X173) ),
inference(resolution,[status(thm)],[c277,clause_31]) ).
cnf(c288,plain,
( s2least(u6r1(X174))
| f(X174) ),
inference(resolution,[status(thm)],[c282,clause_28]) ).
cnf(c293,plain,
s2least(u6r1(exist)),
inference(resolution,[status(thm)],[c288,clause_2]) ).
cnf(c304,plain,
( c(u6r1(exist))
| ~ e(exist) ),
inference(resolution,[status(thm)],[c293,c24]) ).
cnf(c324,plain,
c(u6r1(exist)),
inference(resolution,[status(thm)],[c304,clause_1]) ).
cnf(c333,plain,
t2least(u6r1(exist)),
inference(resolution,[status(thm)],[c324,clause_3]) ).
cnf(clause_5,axiom,
( ~ t2least(X5)
| ~ equalish(u1r2(X5),u1r1(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_9,axiom,
( t1most(X4)
| ~ d(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_15,axiom,
( d(X28)
| ~ e(X29)
| ~ r(X29,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
cnf(c18,plain,
( d(u6r1(exist))
| ~ e(exist) ),
inference(resolution,[status(thm)],[clause_15,c5]) ).
cnf(c21,plain,
d(u6r1(exist)),
inference(resolution,[status(thm)],[c18,clause_1]) ).
cnf(c22,plain,
t1most(u6r1(exist)),
inference(resolution,[status(thm)],[c21,clause_9]) ).
cnf(clause_7,axiom,
( t(X9,u1r2(X9))
| ~ t2least(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(c343,plain,
t(u6r1(exist),u1r2(u6r1(exist))),
inference(resolution,[status(thm)],[c333,clause_7]) ).
cnf(clause_11,axiom,
( equalish(X19,X18)
| ~ t1most(X20)
| ~ t(X20,X19)
| ~ t(X20,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
cnf(clause_6,axiom,
( t(X8,u1r1(X8))
| ~ t2least(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(c344,plain,
t(u6r1(exist),u1r1(u6r1(exist))),
inference(resolution,[status(thm)],[c333,clause_6]) ).
cnf(c377,plain,
( equalish(X597,u1r1(u6r1(exist)))
| ~ t1most(u6r1(exist))
| ~ t(u6r1(exist),X597) ),
inference(resolution,[status(thm)],[c344,clause_11]) ).
cnf(c2477,plain,
( equalish(u1r2(u6r1(exist)),u1r1(u6r1(exist)))
| ~ t1most(u6r1(exist)) ),
inference(resolution,[status(thm)],[c377,c343]) ).
cnf(c2498,plain,
equalish(u1r2(u6r1(exist)),u1r1(u6r1(exist))),
inference(resolution,[status(thm)],[c2477,c22]) ).
cnf(c2499,plain,
~ t2least(u6r1(exist)),
inference(resolution,[status(thm)],[c2498,clause_5]) ).
cnf(c2511,plain,
$false,
inference(resolution,[status(thm)],[c2499,c333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS013-1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n010.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
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 00:15:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 1.16/1.37 % Version: 1.5
% 1.16/1.37 % SZS status Unsatisfiable
% 1.16/1.37 % SZS output start CNFRefutation
% See solution above
% 1.16/1.37
% 1.16/1.37 % Initial clauses : 33
% 1.16/1.37 % Processed clauses : 256
% 1.16/1.37 % Factors computed : 4
% 1.16/1.37 % Resolvents computed: 2511
% 1.16/1.37 % Tautologies deleted: 65
% 1.16/1.37 % Forward subsumed : 373
% 1.16/1.37 % Backward subsumed : 24
% 1.16/1.37 % -------- CPU Time ---------
% 1.16/1.37 % User time : 0.987 s
% 1.16/1.37 % System time : 0.028 s
% 1.16/1.37 % Total time : 1.015 s
%------------------------------------------------------------------------------