TSTP Solution File: ALG439-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG439-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 : 600s
% DateTime : Thu Jul 14 17:40:12 EDT 2022
% Result : Unsatisfiable 0.69s 0.88s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 6 unt; 1 nHn; 17 RR)
% Number of literals : 36 ( 35 equ; 20 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 2 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_resolve__eq__raw_I2_J_0,axiom,
c_Polynomial_Opoly(c_Polynomial_OpCons(V_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),V_x,tc_Complex_Ocomplex) = V_c ).
cnf(cls_conjecture_0,negated_conjecture,
( v_c != v_y
| c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y ) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y
| v_c = v_y ) ).
cnf(refute_0_0,plain,
c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_c,
inference(subst,[],[cls_resolve__eq__raw_I2_J_0:[bind(V_c,$fot(v_c)),bind(V_x,$fot(v_x))]]) ).
cnf(refute_0_1,plain,
( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_c
| c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y
| v_c = v_y ),
introduced(tautology,[equality,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),v_y) ),[0],$fot(v_c)]]) ).
cnf(refute_0_2,plain,
( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y
| v_c = v_y ),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),v_c) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
v_c = v_y,
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),v_y) )],[cls_conjecture_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_c
| v_c != v_y
| c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),v_y) ),[0],$fot(v_c)]]) ).
cnf(refute_0_5,plain,
( v_c != v_y
| c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y ),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),v_c) )],[refute_0_0,refute_0_4]) ).
cnf(refute_0_6,plain,
v_c = v_c,
introduced(tautology,[refl,[$fot(v_c)]]) ).
cnf(refute_0_7,plain,
( v_c != v_c
| v_c != v_y
| v_y = v_c ),
introduced(tautology,[equality,[$cnf( $equal(v_c,v_c) ),[0],$fot(v_y)]]) ).
cnf(refute_0_8,plain,
( v_c != v_y
| v_y = v_c ),
inference(resolve,[$cnf( $equal(v_c,v_c) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( v_c != v_c
| v_y != v_c
| v_c = v_y ),
introduced(tautology,[equality,[$cnf( ~ $equal(v_c,v_y) ),[1],$fot(v_c)]]) ).
cnf(refute_0_10,plain,
( v_c != v_c
| v_c != v_y
| v_c = v_y ),
inference(resolve,[$cnf( $equal(v_y,v_c) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( v_c != v_c
| v_c != v_y
| c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y ),
inference(resolve,[$cnf( $equal(v_c,v_y) )],[refute_0_10,refute_0_5]) ).
cnf(refute_0_12,plain,
( v_c != v_c
| v_c != v_y ),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),v_y) )],[refute_0_11,cls_conjecture_0]) ).
cnf(refute_0_13,plain,
v_c != v_y,
inference(resolve,[$cnf( $equal(v_c,v_c) )],[refute_0_6,refute_0_12]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( $equal(v_c,v_y) )],[refute_0_3,refute_0_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG439-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n021.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 : 600
% 0.13/0.33 % DateTime : Wed Jun 8 02:05:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.69/0.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88
% 0.69/0.88 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.69/0.89
%------------------------------------------------------------------------------