%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG391-1 : 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 17:40:06 EDT 2022
% Result : Unsatisfiable 0.95s 1.15s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 13 ( 12 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 1 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_Polynomial_Opoly(v_cs____,hAPP(v_x,V_xa),t_a) != c_Polynomial_Opoly(V_xa,hAPP(v_x,V_xa),t_a)
| c_Polynomial_Odegree(V_xa,t_a) != c_Polynomial_Odegree(v_cs____,t_a)
| V_xa = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ) ).
cnf(refute_0_0,plain,
( c_Polynomial_Odegree(v_cs____,t_a) != c_Polynomial_Odegree(v_cs____,t_a)
| c_Polynomial_Opoly(v_cs____,hAPP(v_x,v_cs____),t_a) != c_Polynomial_Opoly(v_cs____,hAPP(v_x,v_cs____),t_a)
| v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(subst,[],[cls_conjecture_2:[bind(V_xa,$fot(v_cs____))]]) ).
cnf(refute_0_1,plain,
c_Polynomial_Odegree(v_cs____,t_a) = c_Polynomial_Odegree(v_cs____,t_a),
introduced(tautology,[refl,[$fot(c_Polynomial_Odegree(v_cs____,t_a))]]) ).
cnf(refute_0_2,plain,
( c_Polynomial_Opoly(v_cs____,hAPP(v_x,v_cs____),t_a) != c_Polynomial_Opoly(v_cs____,hAPP(v_x,v_cs____),t_a)
| v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(resolve,[$cnf( $equal(c_Polynomial_Odegree(v_cs____,t_a),c_Polynomial_Odegree(v_cs____,t_a)) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
c_Polynomial_Opoly(v_cs____,hAPP(v_x,v_cs____),t_a) = c_Polynomial_Opoly(v_cs____,hAPP(v_x,v_cs____),t_a),
introduced(tautology,[refl,[$fot(c_Polynomial_Opoly(v_cs____,hAPP(v_x,v_cs____),t_a))]]) ).
cnf(refute_0_4,plain,
v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(v_cs____,hAPP(v_x,v_cs____),t_a),c_Polynomial_Opoly(v_cs____,hAPP(v_x,v_cs____),t_a)) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( $equal(v_cs____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) )],[refute_0_4,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG391-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 22:31:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.95/1.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.95/1.15
% 0.95/1.15 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.95/1.15
%------------------------------------------------------------------------------