%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : HEN007-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 17:24:48 EDT 2024
% Result : Unsatisfiable 4.39s 4.56s
% Output : Refutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 27 ( 14 unt; 0 nHn; 23 RR)
% Number of literals : 49 ( 9 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_zQyLEzQx,negated_conjecture,
~ less_equal(zQy,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zQyLEzQx) ).
cnf(xLEy,plain,
less_equal(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy) ).
cnf(transitivity_of_less_equal,axiom,
( ~ less_equal(X49,X48)
| ~ less_equal(X48,X47)
| less_equal(X49,X47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
cnf(c59,plain,
( ~ less_equal(X133,x)
| less_equal(X133,y) ),
inference(resolution,[status(thm)],[transitivity_of_less_equal,xLEy]) ).
cnf(zQx,plain,
quotient(z,x,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zQx) ).
cnf(closure,axiom,
quotient(X34,X33,divide(X34,X33)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',closure) ).
cnf(well_defined,axiom,
( ~ quotient(X44,X43,X42)
| ~ quotient(X44,X43,X45)
| X42 = X45 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',well_defined) ).
cnf(c45,plain,
( ~ quotient(X236,X234,X235)
| X235 = divide(X236,X234) ),
inference(resolution,[status(thm)],[well_defined,closure]) ).
cnf(c407,plain,
zQx = divide(z,x),
inference(resolution,[status(thm)],[c45,zQx]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(x_divide_x_is_zero,axiom,
quotient(X5,X5,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(less_equal_quotient,axiom,
( ~ quotient(X13,X12,zero)
| less_equal(X13,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(c7,plain,
less_equal(X14,X14),
inference(resolution,[status(thm)],[less_equal_quotient,x_divide_x_is_zero]) ).
cnf(c1,axiom,
( X89 != X92
| X90 != X91
| ~ less_equal(X89,X90)
| less_equal(X92,X91) ),
theory(equality) ).
cnf(c98,plain,
( X287 != X286
| X287 != X288
| less_equal(X286,X288) ),
inference(resolution,[status(thm)],[c1,c7]) ).
cnf(c538,plain,
( X296 != X295
| less_equal(X295,X296) ),
inference(resolution,[status(thm)],[c98,reflexivity]) ).
cnf(c565,plain,
less_equal(divide(z,x),zQx),
inference(resolution,[status(thm)],[c538,c407]) ).
cnf(xQyLEz_implies_xQzLEy,axiom,
( ~ quotient(X53,X55,X52)
| ~ less_equal(X52,X54)
| ~ quotient(X53,X54,X56)
| less_equal(X56,X55) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
cnf(c70,plain,
( ~ quotient(X290,X292,X291)
| ~ less_equal(X291,X289)
| less_equal(divide(X290,X289),X292) ),
inference(resolution,[status(thm)],[xQyLEz_implies_xQzLEy,closure]) ).
cnf(c548,plain,
( ~ less_equal(divide(X3246,X3245),X3247)
| less_equal(divide(X3246,X3247),X3245) ),
inference(resolution,[status(thm)],[c70,closure]) ).
cnf(c6701,plain,
less_equal(divide(z,zQx),x),
inference(resolution,[status(thm)],[c548,c565]) ).
cnf(c6756,plain,
less_equal(divide(z,zQx),y),
inference(resolution,[status(thm)],[c6701,c59]) ).
cnf(zQy,plain,
quotient(z,y,zQy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zQy) ).
cnf(c78,plain,
( ~ quotient(z,X359,X358)
| ~ less_equal(X358,y)
| less_equal(zQy,X359) ),
inference(resolution,[status(thm)],[xQyLEz_implies_xQzLEy,zQy]) ).
cnf(c662,plain,
( ~ less_equal(divide(z,X3657),y)
| less_equal(zQy,X3657) ),
inference(resolution,[status(thm)],[c78,closure]) ).
cnf(c7445,plain,
less_equal(zQy,zQx),
inference(resolution,[status(thm)],[c662,c6756]) ).
cnf(c7447,plain,
$false,
inference(resolution,[status(thm)],[c7445,prove_zQyLEzQx]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HEN007-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 13:52:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 4.39/4.56 % Version: 1.5
% 4.39/4.56 % SZS status Unsatisfiable
% 4.39/4.56 % SZS output start CNFRefutation
% See solution above
% 4.39/4.56
% 4.39/4.56 % Initial clauses : 25
% 4.39/4.56 % Processed clauses : 468
% 4.39/4.56 % Factors computed : 191
% 4.39/4.56 % Resolvents computed: 7262
% 4.39/4.56 % Tautologies deleted: 8
% 4.39/4.56 % Forward subsumed : 1928
% 4.39/4.56 % Backward subsumed : 13
% 4.39/4.56 % -------- CPU Time ---------
% 4.39/4.56 % User time : 4.166 s
% 4.39/4.56 % System time : 0.035 s
% 4.39/4.56 % Total time : 4.201 s
%------------------------------------------------------------------------------