%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET003-1 : 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 17:38:47 EDT 2024
% Result : Unsatisfiable 0.22s 0.57s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 6 unt; 1 nHn; 9 RR)
% Number of literals : 15 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_is_a_subset_of_aUa,negated_conjecture,
~ subset(a,aUa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_is_a_subset_of_aUa) ).
cnf(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X11,X12),X12)
| subset(X11,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
cnf(subsets_axiom1,axiom,
( subset(X6,X7)
| member(member_of_1_not_of_2(X6,X7),X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).
cnf(c0,plain,
member(member_of_1_not_of_2(a,aUa),a),
inference(resolution,[status(thm)],[subsets_axiom1,prove_a_is_a_subset_of_aUa]) ).
cnf(a_union_a_is_aUa,plain,
union(a,a,aUa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_union_a_is_aUa) ).
cnf(member_of_set1_is_member_of_union,axiom,
( ~ union(X29,X30,X27)
| ~ member(X28,X29)
| member(X28,X27) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',member_of_set1_is_member_of_union) ).
cnf(c12,plain,
( ~ member(X32,a)
| member(X32,aUa) ),
inference(resolution,[status(thm)],[member_of_set1_is_member_of_union,a_union_a_is_aUa]) ).
cnf(c15,plain,
member(member_of_1_not_of_2(a,aUa),aUa),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(c17,plain,
subset(a,aUa),
inference(resolution,[status(thm)],[c15,subsets_axiom2]) ).
cnf(c18,plain,
$false,
inference(resolution,[status(thm)],[c17,prove_a_is_a_subset_of_aUa]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed May 8 18:43:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.22/0.57 % Version: 1.5
% 0.22/0.57 % SZS status Unsatisfiable
% 0.22/0.57 % SZS output start CNFRefutation
% See solution above
% 0.22/0.57
% 0.22/0.57 % Initial clauses : 14
% 0.22/0.57 % Processed clauses : 18
% 0.22/0.57 % Factors computed : 1
% 0.22/0.57 % Resolvents computed: 20
% 0.22/0.57 % Tautologies deleted: 1
% 0.22/0.57 % Forward subsumed : 3
% 0.22/0.57 % Backward subsumed : 1
% 0.22/0.57 % -------- CPU Time ---------
% 0.22/0.57 % User time : 0.188 s
% 0.22/0.57 % System time : 0.013 s
% 0.22/0.57 % Total time : 0.200 s
%------------------------------------------------------------------------------