%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT005-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 17:16:57 EDT 2024
% Result : Unsatisfiable 4.31s 4.55s
% Output : Refutation 4.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 17 unt; 0 nHn; 26 RR)
% Number of literals : 41 ( 23 equ; 14 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_domain_of_a_is_d,negated_conjecture,
domain(a) != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
cnf(symmetry,axiom,
( X15 != X14
| X14 = X15 ),
theory(equality) ).
cnf(ad_exists,plain,
there_exists(compose(a,d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ad_exists) ).
cnf(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X20,X19))
| domain(X20) = codomain(X19) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).
cnf(c16,plain,
domain(a) = codomain(d),
inference(resolution,[status(thm)],[domain_codomain_composition1,ad_exists]) ).
cnf(c43,plain,
codomain(d) = domain(a),
inference(resolution,[status(thm)],[c16,symmetry]) ).
cnf(transitivity,axiom,
( X57 != X55
| X55 != X56
| X57 = X56 ),
theory(equality) ).
cnf(c127,plain,
( X313 != codomain(d)
| X313 = domain(a) ),
inference(resolution,[status(thm)],[transitivity,c43]) ).
cnf(compose_codomain,axiom,
compose(codomain(X22),X22) = X22,
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',compose_codomain) ).
cnf(c129,plain,
( X190 != compose(codomain(X189),X189)
| X190 = X189 ),
inference(resolution,[status(thm)],[transitivity,compose_codomain]) ).
cnf(xd_equals_x,plain,
( ~ there_exists(compose(X51,d))
| compose(X51,d) = X51 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xd_equals_x) ).
cnf(c19,plain,
X26 = compose(codomain(X26),X26),
inference(resolution,[status(thm)],[compose_codomain,symmetry]) ).
cnf(c5,axiom,
( X32 != X31
| ~ there_exists(X32)
| there_exists(X31) ),
theory(equality) ).
cnf(c33,plain,
( ~ there_exists(X48)
| there_exists(compose(codomain(X48),X48)) ),
inference(resolution,[status(thm)],[c5,c19]) ).
cnf(codomain_has_elements,axiom,
( ~ there_exists(codomain(X13))
| there_exists(X13) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',codomain_has_elements) ).
cnf(composition_implies_domain,axiom,
( ~ there_exists(compose(X17,X16))
| there_exists(domain(X17)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',composition_implies_domain) ).
cnf(c9,plain,
there_exists(domain(a)),
inference(resolution,[status(thm)],[composition_implies_domain,ad_exists]) ).
cnf(c42,plain,
( ~ there_exists(domain(a))
| there_exists(codomain(d)) ),
inference(resolution,[status(thm)],[c16,c5]) ).
cnf(c270,plain,
there_exists(codomain(d)),
inference(resolution,[status(thm)],[c42,c9]) ).
cnf(c274,plain,
there_exists(d),
inference(resolution,[status(thm)],[c270,codomain_has_elements]) ).
cnf(c279,plain,
there_exists(compose(codomain(d),d)),
inference(resolution,[status(thm)],[c274,c33]) ).
cnf(c309,plain,
compose(codomain(d),d) = codomain(d),
inference(resolution,[status(thm)],[c279,xd_equals_x]) ).
cnf(c5899,plain,
codomain(d) = compose(codomain(d),d),
inference(resolution,[status(thm)],[c309,symmetry]) ).
cnf(c13705,plain,
codomain(d) = d,
inference(resolution,[status(thm)],[c5899,c129]) ).
cnf(c13732,plain,
d = codomain(d),
inference(resolution,[status(thm)],[c13705,symmetry]) ).
cnf(c13777,plain,
d = domain(a),
inference(resolution,[status(thm)],[c13732,c127]) ).
cnf(c13924,plain,
domain(a) = d,
inference(resolution,[status(thm)],[c13777,symmetry]) ).
cnf(c14083,plain,
$false,
inference(resolution,[status(thm)],[c13924,prove_domain_of_a_is_d]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : CAT005-3 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 21:02:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 4.31/4.55 % Version: 1.5
% 4.31/4.55 % SZS status Unsatisfiable
% 4.31/4.55 % SZS output start CNFRefutation
% See solution above
% 4.31/4.55
% 4.31/4.55 % Initial clauses : 30
% 4.31/4.55 % Processed clauses : 480
% 4.31/4.55 % Factors computed : 13
% 4.31/4.55 % Resolvents computed: 14195
% 4.31/4.55 % Tautologies deleted: 5
% 4.31/4.55 % Forward subsumed : 511
% 4.31/4.55 % Backward subsumed : 7
% 4.31/4.55 % -------- CPU Time ---------
% 4.31/4.55 % User time : 4.149 s
% 4.31/4.55 % System time : 0.036 s
% 4.31/4.55 % Total time : 4.185 s
%------------------------------------------------------------------------------