TSTP Solution File: ALG398-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG398-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 02:04:41 EDT 2024
% Result : Unsatisfiable 162.38s 22.28s
% Output : CNFRefutation 162.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 36 ( 21 unt; 7 nHn; 15 RR)
% Number of literals : 56 ( 41 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 52 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_85,plain,
( ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__self__if_1) ).
cnf(c_87,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_right__inverse__eq_1) ).
cnf(c_457,plain,
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__1__right_0) ).
cnf(c_607,plain,
c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pc0_0) ).
cnf(c_814,plain,
c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pqc0_0) ).
cnf(c_833,plain,
c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__divide__def_0) ).
cnf(c_860,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I19_J_0) ).
cnf(c_862,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I17_J_0) ).
cnf(c_863,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I16_J_0) ).
cnf(c_879,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I7_J_0) ).
cnf(c_880,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X3,X0),X0) = c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X0),X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__smult_0) ).
cnf(c_883,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_927,plain,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(c_928,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_942,plain,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
cnf(c_948,plain,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
cnf(c_1697,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_85,c_87]) ).
cnf(c_6873,plain,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_883,c_814]) ).
cnf(c_10543,plain,
( X0 != tc_Complex_Ocomplex
| c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(resolution_lifted,[status(thm)],[c_1697,c_948]) ).
cnf(c_10544,plain,
( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(unflattening,[status(thm)],[c_10543]) ).
cnf(c_27880,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
| c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
inference(prop_impl_just,[status(thm)],[c_10544]) ).
cnf(c_27881,plain,
( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(renaming,[status(thm)],[c_27880]) ).
cnf(c_49095,plain,
c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_942,c_457]) ).
cnf(c_49380,plain,
c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_927,c_879]) ).
cnf(c_49382,plain,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_6873,c_49380]) ).
cnf(c_55006,plain,
c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_927,c_860]) ).
cnf(c_55020,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_927,c_862]) ).
cnf(c_55329,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_927,c_863]) ).
cnf(c_55331,plain,
c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_55329,c_55020]) ).
cnf(c_55343,plain,
c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_928,c_880]) ).
cnf(c_55345,plain,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_49382,c_55343]) ).
cnf(c_55346,plain,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_55345,c_833,c_55006,c_55331]) ).
cnf(c_55505,plain,
( c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_27881,c_55346]) ).
cnf(c_55517,plain,
( c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(demodulation,[status(thm)],[c_55505,c_49095]) ).
cnf(c_55518,plain,
c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(equality_resolution_simp,[status(thm)],[c_55517]) ).
cnf(c_55519,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_55518,c_607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG398-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n009.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 22:46:40 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 162.38/22.28 % SZS status Started for theBenchmark.p
% 162.38/22.28 % SZS status Unsatisfiable for theBenchmark.p
% 162.38/22.28
% 162.38/22.28 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 162.38/22.28
% 162.38/22.28 ------ iProver source info
% 162.38/22.28
% 162.38/22.28 git: date: 2024-05-02 19:28:25 +0000
% 162.38/22.28 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 162.38/22.28 git: non_committed_changes: false
% 162.38/22.28
% 162.38/22.28 ------ Parsing...successful
% 162.38/22.28
% 162.38/22.28
% 162.38/22.28
% 162.38/22.28 ------ Preprocessing... sup_sim: 3 sf_s rm: 329 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 31 sf_s rm: 34 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 35 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 35 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 35 0s sf_e pe_s pe_e
% 162.38/22.28
% 162.38/22.28 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 162.38/22.28
% 162.38/22.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 162.38/22.28 ------ Proving...
% 162.38/22.28 ------ Problem Properties
% 162.38/22.28
% 162.38/22.28
% 162.38/22.28 clauses 503
% 162.38/22.28 conjectures 0
% 162.38/22.28 EPR 55
% 162.38/22.28 Horn 439
% 162.38/22.28 unary 147
% 162.38/22.28 binary 209
% 162.38/22.28 lits 1052
% 162.38/22.28 lits eq 444
% 162.38/22.28 fd_pure 0
% 162.38/22.28 fd_pseudo 0
% 162.38/22.28 fd_cond 48
% 162.38/22.28 fd_pseudo_cond 49
% 162.38/22.28 AC symbols 0
% 162.38/22.28
% 162.38/22.28 ------ Input Options Time Limit: Unbounded
% 162.38/22.28
% 162.38/22.28
% 162.38/22.28 ------
% 162.38/22.28 Current options:
% 162.38/22.28 ------
% 162.38/22.28
% 162.38/22.28
% 162.38/22.28
% 162.38/22.28
% 162.38/22.28 ------ Proving...
% 162.38/22.28
% 162.38/22.28
% 162.38/22.28 % SZS status Unsatisfiable for theBenchmark.p
% 162.38/22.28
% 162.38/22.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 162.38/22.28
% 162.38/22.29
%------------------------------------------------------------------------------