TSTP Solution File: ALG432-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG432-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 : Fri May 3 02:04:45 EDT 2024
% Result : Unsatisfiable 222.51s 29.38s
% Output : CNFRefutation 222.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 15 unt; 0 nHn; 7 RR)
% Number of literals : 29 ( 22 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_76,plain,
( ~ class_RealVector_Oreal__normed__algebra(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__left_Oadd_0) ).
cnf(c_695,plain,
( ~ class_RealVector_Oreal__normed__algebra(X0)
| c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__right_Ozero_0) ).
cnf(c_697,plain,
( ~ class_RealVector_Oreal__normed__algebra(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult_Ozero__left_0) ).
cnf(c_763,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opoly(X3,X2,X0),X0),X0) = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__pCons_0) ).
cnf(c_784,negated_conjecture,
c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_785,negated_conjecture,
c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_903,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
cnf(c_904,plain,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).
cnf(c_8188,plain,
( X0 != tc_Complex_Ocomplex
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
inference(resolution_lifted,[status(thm)],[c_697,c_904]) ).
cnf(c_8189,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_8188]) ).
cnf(c_8193,plain,
( X0 != tc_Complex_Ocomplex
| c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
inference(resolution_lifted,[status(thm)],[c_695,c_904]) ).
cnf(c_8194,plain,
c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_8193]) ).
cnf(c_8232,plain,
( X0 != tc_Complex_Ocomplex
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_76,c_904]) ).
cnf(c_8233,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_8232]) ).
cnf(c_31174,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_8189,c_8233]) ).
cnf(c_31183,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_8189,c_31174]) ).
cnf(c_31206,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_31183,c_8194]) ).
cnf(c_561314,plain,
c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_903,c_763]) ).
cnf(c_567793,plain,
c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(v_x,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_784,c_561314]) ).
cnf(c_567991,plain,
c_Polynomial_Opoly(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_8194,c_567793]) ).
cnf(c_568005,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_567991,c_785]) ).
cnf(c_568007,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_568005,c_31206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG432-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 22:48:18 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 222.51/29.38 % SZS status Started for theBenchmark.p
% 222.51/29.38 % SZS status Unsatisfiable for theBenchmark.p
% 222.51/29.38
% 222.51/29.38 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 222.51/29.38
% 222.51/29.38 ------ iProver source info
% 222.51/29.38
% 222.51/29.38 git: date: 2024-05-02 19:28:25 +0000
% 222.51/29.38 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 222.51/29.38 git: non_committed_changes: false
% 222.51/29.38
% 222.51/29.38 ------ Parsing...successful
% 222.51/29.38
% 222.51/29.38
% 222.51/29.38
% 222.51/29.38 ------ Preprocessing... sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e
% 222.51/29.38
% 222.51/29.38 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 222.51/29.38
% 222.51/29.38 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 222.51/29.38 ------ Proving...
% 222.51/29.38 ------ Problem Properties
% 222.51/29.38
% 222.51/29.38
% 222.51/29.38 clauses 981
% 222.51/29.38 conjectures 2
% 222.51/29.38 EPR 115
% 222.51/29.38 Horn 854
% 222.51/29.38 unary 380
% 222.51/29.38 binary 324
% 222.51/29.38 lits 1975
% 222.51/29.38 lits eq 821
% 222.51/29.38 fd_pure 0
% 222.51/29.38 fd_pseudo 0
% 222.51/29.38 fd_cond 77
% 222.51/29.38 fd_pseudo_cond 65
% 222.51/29.38 AC symbols 0
% 222.51/29.38
% 222.51/29.38 ------ Input Options Time Limit: Unbounded
% 222.51/29.38
% 222.51/29.38
% 222.51/29.38 ------
% 222.51/29.38 Current options:
% 222.51/29.38 ------
% 222.51/29.38
% 222.51/29.38
% 222.51/29.38
% 222.51/29.38
% 222.51/29.38 ------ Proving...
% 222.51/29.38
% 222.51/29.38
% 222.51/29.38 ------ Proving...
% 222.51/29.38
% 222.51/29.38
% 222.51/29.38 % SZS status Unsatisfiable for theBenchmark.p
% 222.51/29.38
% 222.51/29.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 222.51/29.38
% 222.51/29.38
%------------------------------------------------------------------------------