%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ALG011-1 : TPTP v8.1.2. Released v2.7.0.
% 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 17:14:36 EDT 2024
% Result : Unsatisfiable 0.54s 0.71s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 14 unt; 4 nHn; 23 RR)
% Number of literals : 46 ( 2 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(partitions_exclusive,plain,
( ~ c(X4)
| ~ d(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive) ).
cnf(partition_d_not_empty,plain,
d(a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition_d_not_empty) ).
cnf(conjecture_2,negated_conjecture,
( c(f(X16,X17))
| ~ d(X16)
| ~ d(X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2) ).
cnf(c17,plain,
( c(f(X20,X20))
| ~ d(X20) ),
inference(factor,[status(thm)],[conjecture_2]) ).
cnf(c27,plain,
c(f(a2,a2)),
inference(resolution,[status(thm)],[c17,partition_d_not_empty]) ).
cnf(partition_c_not_empty,plain,
c(a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition_c_not_empty) ).
cnf(conjecture_1,negated_conjecture,
( d(f(X12,X13))
| ~ c(X12)
| ~ c(X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
cnf(c9,plain,
( d(f(X43,a1))
| ~ c(X43) ),
inference(resolution,[status(thm)],[conjecture_1,partition_c_not_empty]) ).
cnf(c56,plain,
d(f(f(a2,a2),a1)),
inference(resolution,[status(thm)],[c9,c27]) ).
cnf(c185,plain,
~ c(f(f(a2,a2),a1)),
inference(resolution,[status(thm)],[c56,partitions_exclusive]) ).
cnf(f_is_associative,axiom,
f(X5,f(X7,X6)) = f(f(X5,X7),X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative) ).
cnf(c1,axiom,
( X34 != X35
| ~ c(X34)
| c(X35) ),
theory(equality) ).
cnf(c48,plain,
( ~ c(f(X133,f(X135,X134)))
| c(f(f(X133,X135),X134)) ),
inference(resolution,[status(thm)],[c1,f_is_associative]) ).
cnf(partitions_union,axiom,
( c(X3)
| d(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union) ).
cnf(c22,plain,
( c(f(X62,X63))
| ~ d(X62)
| c(X63) ),
inference(resolution,[status(thm)],[conjecture_2,partitions_union]) ).
cnf(c149,plain,
( c(f(a2,X64))
| c(X64) ),
inference(resolution,[status(thm)],[c22,partition_d_not_empty]) ).
cnf(c60,plain,
( d(f(X47,a1))
| d(X47) ),
inference(resolution,[status(thm)],[c9,partitions_union]) ).
cnf(c71,plain,
( d(X52)
| ~ c(f(X52,a1)) ),
inference(resolution,[status(thm)],[c60,partitions_exclusive]) ).
cnf(c8,plain,
( d(f(X14,X14))
| ~ c(X14) ),
inference(factor,[status(thm)],[conjecture_1]) ).
cnf(c11,plain,
d(f(a1,a1)),
inference(resolution,[status(thm)],[c8,partition_c_not_empty]) ).
cnf(c20,plain,
( c(f(X60,f(a1,a1)))
| ~ d(X60) ),
inference(resolution,[status(thm)],[conjecture_2,c11]) ).
cnf(c140,plain,
c(f(a2,f(a1,a1))),
inference(resolution,[status(thm)],[c20,partition_d_not_empty]) ).
cnf(c524,plain,
c(f(f(a2,a1),a1)),
inference(resolution,[status(thm)],[c48,c140]) ).
cnf(c530,plain,
d(f(a2,a1)),
inference(resolution,[status(thm)],[c524,c71]) ).
cnf(c544,plain,
~ c(f(a2,a1)),
inference(resolution,[status(thm)],[c530,partitions_exclusive]) ).
cnf(c550,plain,
c(f(a2,f(a2,a1))),
inference(resolution,[status(thm)],[c544,c149]) ).
cnf(c589,plain,
c(f(f(a2,a2),a1)),
inference(resolution,[status(thm)],[c550,c48]) ).
cnf(c604,plain,
$false,
inference(resolution,[status(thm)],[c589,c185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG011-1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n008.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
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 9 00:24:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.54/0.71 % Version: 1.5
% 0.54/0.71 % SZS status Unsatisfiable
% 0.54/0.71 % SZS output start CNFRefutation
% See solution above
% 0.54/0.71
% 0.54/0.71 % Initial clauses : 13
% 0.54/0.71 % Processed clauses : 73
% 0.54/0.71 % Factors computed : 6
% 0.54/0.71 % Resolvents computed: 628
% 0.54/0.71 % Tautologies deleted: 5
% 0.54/0.71 % Forward subsumed : 84
% 0.54/0.71 % Backward subsumed : 0
% 0.54/0.71 % -------- CPU Time ---------
% 0.54/0.71 % User time : 0.343 s
% 0.54/0.71 % System time : 0.012 s
% 0.54/0.71 % Total time : 0.355 s
%------------------------------------------------------------------------------