TSTP Solution File: CAT011-4 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT011-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 17:17:00 EDT 2024
% Result : Unsatisfiable 2.82s 3.01s
% Output : Refutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 35 ( 19 unt; 0 nHn; 29 RR)
% Number of literals : 58 ( 34 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 38 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_domain_is_idempotent,negated_conjecture,
domain(domain(a)) != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
cnf(transitivity,axiom,
( X38 != X37
| X37 != X39
| X38 = X39 ),
theory(equality) ).
cnf(symmetry,axiom,
( X13 != X12
| X12 = X13 ),
theory(equality) ).
cnf(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X27,X26))
| domain(X27) = codomain(X26) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).
cnf(assume_domain_exists,plain,
there_exists(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_domain_exists) ).
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(c5,plain,
there_exists(a),
inference(resolution,[status(thm)],[domain_has_elements,assume_domain_exists]) ).
cnf(compose_domain,axiom,
compose(X15,domain(X15)) = X15,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_domain) ).
cnf(c13,plain,
X17 = compose(X17,domain(X17)),
inference(resolution,[status(thm)],[compose_domain,symmetry]) ).
cnf(c4,axiom,
( X24 != X23
| ~ there_exists(X24)
| there_exists(X23) ),
theory(equality) ).
cnf(c24,plain,
( ~ there_exists(X36)
| there_exists(compose(X36,domain(X36))) ),
inference(resolution,[status(thm)],[c4,c13]) ).
cnf(c46,plain,
there_exists(compose(a,domain(a))),
inference(resolution,[status(thm)],[c24,c5]) ).
cnf(c54,plain,
domain(a) = codomain(domain(a)),
inference(resolution,[status(thm)],[c46,domain_codomain_composition1]) ).
cnf(c109,plain,
codomain(domain(a)) = domain(a),
inference(resolution,[status(thm)],[c54,symmetry]) ).
cnf(c128,plain,
( X224 != codomain(domain(a))
| X224 = domain(a) ),
inference(resolution,[status(thm)],[c109,transitivity]) ).
cnf(equivalence_implies_existence1,axiom,
( ~ equivalent(X4,X3)
| there_exists(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',equivalence_implies_existence1) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(existence_and_equality_implies_equivalence1,axiom,
( ~ there_exists(X9)
| X9 != X8
| equivalent(X9,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',existence_and_equality_implies_equivalence1) ).
cnf(c6,plain,
( ~ there_exists(X10)
| equivalent(X10,X10) ),
inference(resolution,[status(thm)],[existence_and_equality_implies_equivalence1,reflexivity]) ).
cnf(c7,plain,
equivalent(domain(a),domain(a)),
inference(resolution,[status(thm)],[c6,assume_domain_exists]) ).
cnf(c3,axiom,
( X57 != X56
| X55 != X58
| ~ equivalent(X57,X55)
| equivalent(X56,X58) ),
theory(equality) ).
cnf(c115,plain,
( domain(a) != X233
| domain(a) != X232
| equivalent(X233,X232) ),
inference(resolution,[status(thm)],[c3,c7]) ).
cnf(c1544,plain,
( domain(a) != X238
| equivalent(X238,domain(a)) ),
inference(resolution,[status(thm)],[c115,reflexivity]) ).
cnf(compose_codomain,axiom,
compose(codomain(X16),X16) = X16,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
cnf(c60,plain,
( X66 != compose(codomain(X65),X65)
| X66 = X65 ),
inference(resolution,[status(thm)],[transitivity,compose_codomain]) ).
cnf(c2,axiom,
( X52 != X51
| X50 != X53
| compose(X52,X50) = compose(X51,X53) ),
theory(equality) ).
cnf(c84,plain,
( X105 != X103
| compose(X105,X104) = compose(X103,X104) ),
inference(resolution,[status(thm)],[c2,reflexivity]) ).
cnf(c432,plain,
compose(domain(a),X477) = compose(codomain(domain(a)),X477),
inference(resolution,[status(thm)],[c84,c54]) ).
cnf(c7470,plain,
compose(domain(a),domain(a)) = domain(a),
inference(resolution,[status(thm)],[c432,c60]) ).
cnf(c7492,plain,
domain(a) = compose(domain(a),domain(a)),
inference(resolution,[status(thm)],[c7470,symmetry]) ).
cnf(c7518,plain,
equivalent(compose(domain(a),domain(a)),domain(a)),
inference(resolution,[status(thm)],[c7492,c1544]) ).
cnf(c7530,plain,
there_exists(compose(domain(a),domain(a))),
inference(resolution,[status(thm)],[c7518,equivalence_implies_existence1]) ).
cnf(c7558,plain,
domain(domain(a)) = codomain(domain(a)),
inference(resolution,[status(thm)],[c7530,domain_codomain_composition1]) ).
cnf(c7577,plain,
domain(domain(a)) = domain(a),
inference(resolution,[status(thm)],[c7558,c128]) ).
cnf(c7616,plain,
$false,
inference(resolution,[status(thm)],[c7577,prove_domain_is_idempotent]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT011-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed May 8 20:59:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 2.82/3.01 % Version: 1.5
% 2.82/3.01 % SZS status Unsatisfiable
% 2.82/3.01 % SZS output start CNFRefutation
% See solution above
% 2.82/3.01
% 2.82/3.01 % Initial clauses : 21
% 2.82/3.01 % Processed clauses : 477
% 2.82/3.01 % Factors computed : 7
% 2.82/3.01 % Resolvents computed: 7631
% 2.82/3.01 % Tautologies deleted: 3
% 2.82/3.01 % Forward subsumed : 492
% 2.82/3.01 % Backward subsumed : 3
% 2.82/3.01 % -------- CPU Time ---------
% 2.82/3.01 % User time : 2.658 s
% 2.82/3.01 % System time : 0.015 s
% 2.82/3.01 % Total time : 2.673 s
%------------------------------------------------------------------------------