%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT006-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 17:16:58 EDT 2024
% Result : Unsatisfiable 1.04s 1.21s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 15 unt; 0 nHn; 23 RR)
% Number of literals : 37 ( 22 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_codomain_of_a_is_d,negated_conjecture,
codomain(a) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_a_is_d) ).
cnf(symmetry,axiom,
( X12 != X13
| X13 = X12 ),
theory(equality) ).
cnf(da_exists,plain,
there_exists(compose(d,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',da_exists) ).
cnf(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X17,X18))
| domain(X17) = codomain(X18) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).
cnf(c14,plain,
domain(d) = codomain(a),
inference(resolution,[status(thm)],[domain_codomain_composition1,da_exists]) ).
cnf(transitivity,axiom,
( X38 != X39
| X39 != X37
| X38 = X37 ),
theory(equality) ).
cnf(c74,plain,
( X102 != domain(d)
| X102 = codomain(a) ),
inference(resolution,[status(thm)],[transitivity,c14]) ).
cnf(compose_domain,axiom,
compose(X19,domain(X19)) = X19,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_domain) ).
cnf(c77,plain,
( X83 != compose(X82,domain(X82))
| X83 = X82 ),
inference(resolution,[status(thm)],[transitivity,compose_domain]) ).
cnf(domain_has_elements,axiom,
( ~ there_exists(domain(X7))
| there_exists(X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_has_elements) ).
cnf(composition_implies_domain,axiom,
( ~ there_exists(compose(X15,X16))
| there_exists(domain(X15)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',composition_implies_domain) ).
cnf(c8,plain,
there_exists(domain(d)),
inference(resolution,[status(thm)],[composition_implies_domain,da_exists]) ).
cnf(c9,plain,
there_exists(d),
inference(resolution,[status(thm)],[c8,domain_has_elements]) ).
cnf(c15,plain,
X21 = compose(X21,domain(X21)),
inference(resolution,[status(thm)],[compose_domain,symmetry]) ).
cnf(c4,axiom,
( X27 != X28
| ~ there_exists(X27)
| there_exists(X28) ),
theory(equality) ).
cnf(c23,plain,
( ~ there_exists(X33)
| there_exists(compose(X33,domain(X33))) ),
inference(resolution,[status(thm)],[c4,c15]) ).
cnf(c41,plain,
there_exists(compose(d,domain(d))),
inference(resolution,[status(thm)],[c23,c9]) ).
cnf(dx_equals_x,plain,
( ~ there_exists(compose(d,X36))
| compose(d,X36) = X36 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dx_equals_x) ).
cnf(c61,plain,
compose(d,domain(d)) = domain(d),
inference(resolution,[status(thm)],[dx_equals_x,c41]) ).
cnf(c570,plain,
domain(d) = compose(d,domain(d)),
inference(resolution,[status(thm)],[c61,symmetry]) ).
cnf(c1887,plain,
domain(d) = d,
inference(resolution,[status(thm)],[c570,c77]) ).
cnf(c1921,plain,
d = domain(d),
inference(resolution,[status(thm)],[c1887,symmetry]) ).
cnf(c1956,plain,
d = codomain(a),
inference(resolution,[status(thm)],[c1921,c74]) ).
cnf(c1976,plain,
codomain(a) = d,
inference(resolution,[status(thm)],[c1956,symmetry]) ).
cnf(c2011,plain,
$false,
inference(resolution,[status(thm)],[c1976,prove_codomain_of_a_is_d]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : CAT006-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n017.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 : Wed May 8 21:00:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 1.04/1.21 % Version: 1.5
% 1.04/1.21 % SZS status Unsatisfiable
% 1.04/1.21 % SZS output start CNFRefutation
% See solution above
% 1.04/1.21
% 1.04/1.21 % Initial clauses : 23
% 1.04/1.21 % Processed clauses : 239
% 1.04/1.21 % Factors computed : 7
% 1.04/1.21 % Resolvents computed: 2009
% 1.04/1.21 % Tautologies deleted: 3
% 1.04/1.21 % Forward subsumed : 222
% 1.04/1.21 % Backward subsumed : 6
% 1.04/1.21 % -------- CPU Time ---------
% 1.04/1.21 % User time : 0.834 s
% 1.04/1.21 % System time : 0.018 s
% 1.04/1.21 % Total time : 0.852 s
%------------------------------------------------------------------------------