%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 3.85s 4.07s
% Output : Refutation 3.85s
% 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/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_is_d) ).
cnf(symmetry,axiom,
( X14 != X15
| X15 = X14 ),
theory(equality) ).
cnf(da_exists,plain,
there_exists(compose(d,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',da_exists) ).
cnf(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X19,X20))
| domain(X19) = codomain(X20) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).
cnf(c16,plain,
domain(d) = codomain(a),
inference(resolution,[status(thm)],[domain_codomain_composition1,da_exists]) ).
cnf(transitivity,axiom,
( X55 != X57
| X57 != X56
| X55 = X56 ),
theory(equality) ).
cnf(c139,plain,
( X348 != domain(d)
| X348 = codomain(a) ),
inference(resolution,[status(thm)],[transitivity,c16]) ).
cnf(compose_domain,axiom,
compose(X21,domain(X21)) = X21,
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',compose_domain) ).
cnf(c135,plain,
( X195 != compose(X196,domain(X196))
| X195 = X196 ),
inference(resolution,[status(thm)],[transitivity,compose_domain]) ).
cnf(domain_has_elements,axiom,
( ~ there_exists(domain(X9))
| there_exists(X9) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_has_elements) ).
cnf(composition_implies_domain,axiom,
( ~ there_exists(compose(X16,X17))
| there_exists(domain(X16)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',composition_implies_domain) ).
cnf(c9,plain,
there_exists(domain(d)),
inference(resolution,[status(thm)],[composition_implies_domain,da_exists]) ).
cnf(c10,plain,
there_exists(d),
inference(resolution,[status(thm)],[c9,domain_has_elements]) ).
cnf(c18,plain,
X23 = compose(X23,domain(X23)),
inference(resolution,[status(thm)],[compose_domain,symmetry]) ).
cnf(c5,axiom,
( X32 != X31
| ~ there_exists(X32)
| there_exists(X31) ),
theory(equality) ).
cnf(c32,plain,
( ~ there_exists(X50)
| there_exists(compose(X50,domain(X50))) ),
inference(resolution,[status(thm)],[c5,c18]) ).
cnf(c100,plain,
there_exists(compose(d,domain(d))),
inference(resolution,[status(thm)],[c32,c10]) ).
cnf(dx_equals_x,plain,
( ~ there_exists(compose(d,X53))
| compose(d,X53) = X53 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dx_equals_x) ).
cnf(c119,plain,
compose(d,domain(d)) = domain(d),
inference(resolution,[status(thm)],[dx_equals_x,c100]) ).
cnf(c3229,plain,
domain(d) = compose(d,domain(d)),
inference(resolution,[status(thm)],[c119,symmetry]) ).
cnf(c12935,plain,
domain(d) = d,
inference(resolution,[status(thm)],[c3229,c135]) ).
cnf(c12946,plain,
d = domain(d),
inference(resolution,[status(thm)],[c12935,symmetry]) ).
cnf(c12997,plain,
d = codomain(a),
inference(resolution,[status(thm)],[c12946,c139]) ).
cnf(c13026,plain,
codomain(a) = d,
inference(resolution,[status(thm)],[c12997,symmetry]) ).
cnf(c13100,plain,
$false,
inference(resolution,[status(thm)],[c13026,prove_codomain_of_a_is_d]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed May 8 20:59:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 3.85/4.07 % Version: 1.5
% 3.85/4.07 % SZS status Unsatisfiable
% 3.85/4.07 % SZS output start CNFRefutation
% See solution above
% 3.85/4.07
% 3.85/4.07 % Initial clauses : 30
% 3.85/4.07 % Processed clauses : 470
% 3.85/4.07 % Factors computed : 13
% 3.85/4.07 % Resolvents computed: 13105
% 3.85/4.07 % Tautologies deleted: 5
% 3.85/4.07 % Forward subsumed : 486
% 3.85/4.07 % Backward subsumed : 8
% 3.85/4.07 % -------- CPU Time ---------
% 3.85/4.07 % User time : 3.693 s
% 3.85/4.07 % System time : 0.035 s
% 3.85/4.07 % Total time : 3.728 s
%------------------------------------------------------------------------------