TSTP Solution File: SWV602-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV602-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 03:19:29 EDT 2024

% Result   : Unsatisfiable 34.98s 5.78s
% Output   : CNFRefutation 34.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   40 (  28 unt;   0 nHn;  13 RR)
%            Number of literals    :   54 (  38 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   5 con; 0-3 aty)
%            Number of variables   :   59 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_94,plain,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
    | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).

cnf(c_234,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X0),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cos__diff_0) ).

cnf(c_488,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__diff__eq_H_1) ).

cnf(c_526,plain,
    ( ~ class_OrderedGroup_Omonoid__add(X0)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__0__left_0) ).

cnf(c_745,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__add__mult__distrib_0) ).

cnf(c_873,plain,
    ( ~ class_Ring__and__Field_Omult__zero(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__zero__right_0) ).

cnf(c_946,plain,
    c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cos__two__neq__zero_0) ).

cnf(c_949,plain,
    c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).

cnf(c_960,plain,
    ( ~ class_Ring__and__Field_Ofield(X0)
    | ~ class_Ring__and__Field_Odivision__by__zero(X0)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__frac__num_0) ).

cnf(c_963,negated_conjecture,
    c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_964,negated_conjecture,
    c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_1055,plain,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).

cnf(c_1057,plain,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).

cnf(c_1071,plain,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero) ).

cnf(c_1075,plain,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) ).

cnf(c_1078,plain,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).

cnf(c_1869,plain,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
    | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_94]) ).

cnf(c_2081,plain,
    ( ~ class_OrderedGroup_Omonoid__add(X0)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
    inference(prop_impl_just,[status(thm)],[c_526]) ).

cnf(c_2125,plain,
    ( ~ class_Ring__and__Field_Omult__zero(X0)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
    inference(prop_impl_just,[status(thm)],[c_873]) ).

cnf(c_9187,plain,
    c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(demodulation,[status(thm)],[c_964,c_949]) ).

cnf(c_9188,plain,
    c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(demodulation,[status(thm)],[c_963,c_949]) ).

cnf(c_12275,plain,
    ( X0 != tc_RealDef_Oreal
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_2081,c_1075]) ).

cnf(c_12276,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X0,
    inference(unflattening,[status(thm)],[c_12275]) ).

cnf(c_12429,plain,
    ( X0 != tc_RealDef_Oreal
    | 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_2125,c_1071]) ).

cnf(c_12430,plain,
    c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(unflattening,[status(thm)],[c_12429]) ).

cnf(c_16463,plain,
    ( X0 != tc_RealDef_Oreal
    | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_1869,c_1057]) ).

cnf(c_16464,plain,
    c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),
    inference(unflattening,[status(thm)],[c_16463]) ).

cnf(c_19817,plain,
    ( X0 != tc_RealDef_Oreal
    | ~ class_Ring__and__Field_Odivision__by__zero(X0)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
    inference(resolution_lifted,[status(thm)],[c_960,c_1078]) ).

cnf(c_19818,plain,
    ( ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(unflattening,[status(thm)],[c_19817]) ).

cnf(c_19820,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    inference(global_subsumption_just,[status(thm)],[c_19818,c_1055,c_19818]) ).

cnf(c_51457,plain,
    c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(demodulation,[status(thm)],[c_9187,c_949,c_19820]) ).

cnf(c_51458,plain,
    c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(demodulation,[status(thm)],[c_9188,c_949,c_19820]) ).

cnf(c_61299,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(superposition,[status(thm)],[c_12430,c_745]) ).

cnf(c_61321,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    inference(superposition,[status(thm)],[c_745,c_16464]) ).

cnf(c_61341,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(light_normalisation,[status(thm)],[c_61299,c_12430]) ).

cnf(c_64197,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
    inference(superposition,[status(thm)],[c_51457,c_234]) ).

cnf(c_64357,plain,
    c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(light_normalisation,[status(thm)],[c_64197,c_51458]) ).

cnf(c_65211,plain,
    c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(demodulation,[status(thm)],[c_64357,c_12276,c_61321,c_61341]) ).

cnf(c_65215,plain,
    c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(superposition,[status(thm)],[c_488,c_65211]) ).

cnf(c_65238,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_946,c_65215]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV602-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n003.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  : 300
% 0.13/0.34  % DateTime : Fri May  3 00:37:20 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
% 34.98/5.78  % SZS status Started for theBenchmark.p
% 34.98/5.78  % SZS status Unsatisfiable for theBenchmark.p
% 34.98/5.78  
% 34.98/5.78  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 34.98/5.78  
% 34.98/5.78  ------  iProver source info
% 34.98/5.78  
% 34.98/5.78  git: date: 2024-05-02 19:28:25 +0000
% 34.98/5.78  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 34.98/5.78  git: non_committed_changes: false
% 34.98/5.78  
% 34.98/5.78  ------ Parsing...successful
% 34.98/5.78  
% 34.98/5.78  
% 34.98/5.78  
% 34.98/5.78  ------ Preprocessing... sup_sim: 36  sf_s  rm: 5 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e 
% 34.98/5.78  
% 34.98/5.78  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 34.98/5.78  
% 34.98/5.78  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e  sf_s  rm: 0 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 34.98/5.78  ------ Proving...
% 34.98/5.78  ------ Problem Properties 
% 34.98/5.78  
% 34.98/5.78  
% 34.98/5.78  clauses                                 1084
% 34.98/5.78  conjectures                             0
% 34.98/5.78  EPR                                     55
% 34.98/5.78  Horn                                    946
% 34.98/5.78  unary                                   413
% 34.98/5.78  binary                                  292
% 34.98/5.78  lits                                    2238
% 34.98/5.78  lits eq                                 802
% 34.98/5.78  fd_pure                                 0
% 34.98/5.78  fd_pseudo                               0
% 34.98/5.78  fd_cond                                 58
% 34.98/5.78  fd_pseudo_cond                          71
% 34.98/5.78  AC symbols                              0
% 34.98/5.78  
% 34.98/5.78  ------ Schedule dynamic 5 is on 
% 34.98/5.78  
% 34.98/5.78  ------ no conjectures: strip conj schedule 
% 34.98/5.78  
% 34.98/5.78  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 34.98/5.78  
% 34.98/5.78  
% 34.98/5.78  ------ 
% 34.98/5.78  Current options:
% 34.98/5.78  ------ 
% 34.98/5.78  
% 34.98/5.78  
% 34.98/5.78  
% 34.98/5.78  
% 34.98/5.78  ------ Proving...
% 34.98/5.78  
% 34.98/5.78  
% 34.98/5.78  % SZS status Unsatisfiable for theBenchmark.p
% 34.98/5.78  
% 34.98/5.78  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 34.98/5.78  
% 34.98/5.79  
%------------------------------------------------------------------------------