TSTP Solution File: ALG396-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG396-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 17:40:07 EDT 2022
% Result : Unsatisfiable 0.67s 0.81s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 10 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 1 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0,axiom,
c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(V_x,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,V_x,tc_Complex_Ocomplex) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
cnf(refute_0_0,plain,
c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex),
inference(subst,[],[cls_CHAINED_0:[bind(V_x,$fot(v_x____))]]) ).
cnf(refute_0_1,plain,
( c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1],$fot(c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex))]]) ).
cnf(refute_0_2,plain,
( c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_2,cls_conjecture_0]) ).
cnf(refute_0_4,plain,
c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex),
introduced(tautology,[refl,[$fot(c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex))]]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex)) )],[refute_0_4,refute_0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG396-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n025.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 : 600
% 0.12/0.33 % DateTime : Tue Jun 7 22:16:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.67/0.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.81
% 0.67/0.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.67/0.81
%------------------------------------------------------------------------------