%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 17:44:05 EDT 2024
% Result : Unsatisfiable 1.46s 1.68s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 8 unt; 3 nHn; 14 RR)
% Number of literals : 33 ( 4 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_5,negated_conjecture,
less_than(i,m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(anti_symmetry_of_less_than,axiom,
( ~ less_than(X8,X9)
| ~ less_than(X9,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',anti_symmetry_of_less_than) ).
cnf(c6,plain,
~ less_than(m,i),
inference(resolution,[status(thm)],[anti_symmetry_of_less_than,clause_5]) ).
cnf(clause_4,negated_conjecture,
~ less_than(n,m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(less_than_successor,axiom,
less_than(X5,successor(X5)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',less_than_successor) ).
cnf(equal_and_less_than_transitivity1,axiom,
( less_than(X43,X41)
| X42 != X43
| ~ less_than(X42,X41) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',equal_and_less_than_transitivity1) ).
cnf(c63,plain,
( less_than(X72,successor(X73))
| X73 != X72 ),
inference(resolution,[status(thm)],[equal_and_less_than_transitivity1,less_than_successor]) ).
cnf(all_related,axiom,
( less_than(X34,X35)
| less_than(X35,X34)
| X34 = X35 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',all_related) ).
cnf(transitivity_of_less_than,axiom,
( less_than(X27,X28)
| ~ less_than(X27,X26)
| ~ less_than(X26,X28) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',transitivity_of_less_than) ).
cnf(c23,plain,
( less_than(X50,successor(X51))
| ~ less_than(X50,X51) ),
inference(resolution,[status(thm)],[transitivity_of_less_than,less_than_successor]) ).
cnf(c93,plain,
( less_than(X207,successor(X206))
| less_than(X206,X207)
| X206 = X207 ),
inference(resolution,[status(thm)],[c23,all_related]) ).
cnf(c1610,plain,
( less_than(X220,successor(X221))
| less_than(X221,X220) ),
inference(resolution,[status(thm)],[c93,c63]) ).
cnf(c1955,plain,
less_than(m,successor(n)),
inference(resolution,[status(thm)],[c1610,clause_4]) ).
cnf(clause_8,negated_conjecture,
less_than(a(m),a(k)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_11,negated_conjecture,
( less_than(X60,i)
| ~ less_than(X60,successor(n))
| ~ less_than(a(X60),a(k)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
cnf(c146,plain,
( less_than(m,i)
| ~ less_than(m,successor(n)) ),
inference(resolution,[status(thm)],[clause_11,clause_8]) ).
cnf(c2755,plain,
less_than(m,i),
inference(resolution,[status(thm)],[c146,c1955]) ).
cnf(c2768,plain,
$false,
inference(resolution,[status(thm)],[c2755,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SWV007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 05:50:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 1.46/1.68 % Version: 1.5
% 1.46/1.68 % SZS status Unsatisfiable
% 1.46/1.68 % SZS output start CNFRefutation
% See solution above
% 1.46/1.68
% 1.46/1.68 % Initial clauses : 30
% 1.46/1.68 % Processed clauses : 252
% 1.46/1.68 % Factors computed : 6
% 1.46/1.68 % Resolvents computed: 2767
% 1.46/1.68 % Tautologies deleted: 5
% 1.46/1.68 % Forward subsumed : 230
% 1.46/1.68 % Backward subsumed : 8
% 1.46/1.68 % -------- CPU Time ---------
% 1.46/1.68 % User time : 1.287 s
% 1.46/1.68 % System time : 0.026 s
% 1.46/1.68 % Total time : 1.313 s
%------------------------------------------------------------------------------