TSTP Solution File: CAT002-4 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 17:16:56 EDT 2024
% Result : Unsatisfiable 69.12s 69.35s
% Output : Refutation 69.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 9 unt; 0 nHn; 14 RR)
% Number of literals : 26 ( 25 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_g_equals_h,negated_conjecture,
g != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).
cnf(symmetry,axiom,
( X12 != X13
| X13 = X12 ),
theory(equality) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(cancellation_for_compose2,plain,
( compose(b,X38) != X39
| compose(b,X40) != X39
| X38 = X40 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose2) ).
cnf(c67,plain,
( compose(b,X105) != compose(b,X104)
| X105 = X104 ),
inference(resolution,[status(thm)],[cancellation_for_compose2,reflexivity]) ).
cnf(associativity_of_compose,axiom,
compose(X30,compose(X31,X32)) = compose(compose(X30,X31),X32),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
cnf(cancellation_for_compose1,plain,
( compose(a,X35) != X36
| compose(a,X37) != X36
| X35 = X37 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose1) ).
cnf(c56,plain,
( compose(a,X90) != compose(compose(a,X92),X91)
| X90 = compose(X92,X91) ),
inference(resolution,[status(thm)],[cancellation_for_compose1,associativity_of_compose]) ).
cnf(ab_h_equals_ab_g,plain,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
cnf(transitivity,axiom,
( X42 != X43
| X43 != X44
| X42 = X44 ),
theory(equality) ).
cnf(c106,plain,
( X150 != compose(compose(a,b),h)
| X150 = compose(compose(a,b),g) ),
inference(resolution,[status(thm)],[transitivity,ab_h_equals_ab_g]) ).
cnf(c985,plain,
compose(a,compose(b,h)) = compose(compose(a,b),g),
inference(resolution,[status(thm)],[c106,associativity_of_compose]) ).
cnf(c46749,plain,
compose(b,h) = compose(b,g),
inference(resolution,[status(thm)],[c985,c56]) ).
cnf(c66361,plain,
h = g,
inference(resolution,[status(thm)],[c46749,c67]) ).
cnf(c66430,plain,
g = h,
inference(resolution,[status(thm)],[c66361,symmetry]) ).
cnf(c66577,plain,
$false,
inference(resolution,[status(thm)],[c66430,prove_g_equals_h]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT002-4 : 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 : n003.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 20:59:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 69.12/69.35 % Version: 1.5
% 69.12/69.35 % SZS status Unsatisfiable
% 69.12/69.35 % SZS output start CNFRefutation
% See solution above
% 69.12/69.35
% 69.12/69.35 % Initial clauses : 25
% 69.12/69.35 % Processed clauses : 1877
% 69.12/69.35 % Factors computed : 20
% 69.12/69.35 % Resolvents computed: 66589
% 69.12/69.35 % Tautologies deleted: 3
% 69.12/69.35 % Forward subsumed : 3209
% 69.12/69.35 % Backward subsumed : 18
% 69.12/69.35 % -------- CPU Time ---------
% 69.12/69.35 % User time : 68.839 s
% 69.12/69.35 % System time : 0.169 s
% 69.12/69.35 % Total time : 69.008 s
%------------------------------------------------------------------------------