TSTP Solution File: SWV592-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV592-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 03:19:24 EDT 2024

% Result   : Unsatisfiable 7.91s 1.73s
% Output   : CNFRefutation 7.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  15 unt;   0 nHn;   5 RR)
%            Number of literals    :   27 (  20 equ;   8 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    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_531,plain,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
    | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__commute_0) ).

cnf(c_871,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__diff__eq_H_0) ).

cnf(c_896,plain,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X0,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X0),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__periodic__pi2_0) ).

cnf(c_899,plain,
    c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X0),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__minus_0) ).

cnf(c_908,plain,
    ( ~ class_OrderedGroup_Ogroup__add(X0)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__minus_0) ).

cnf(c_910,negated_conjecture,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_946,plain,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add) ).

cnf(c_960,plain,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).

cnf(c_1952,plain,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
    | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_531]) ).

cnf(c_2076,plain,
    ( ~ class_OrderedGroup_Ogroup__add(X0)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
    inference(prop_impl_just,[status(thm)],[c_908]) ).

cnf(c_8379,plain,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X0,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)),
    inference(light_normalisation,[status(thm)],[c_896,c_899]) ).

cnf(c_8524,plain,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),
    inference(demodulation,[status(thm)],[c_910,c_899]) ).

cnf(c_13966,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_1952,c_946]) ).

cnf(c_13967,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_13966]) ).

cnf(c_14451,plain,
    ( X0 != tc_RealDef_Oreal
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_2076,c_960]) ).

cnf(c_14452,plain,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = X0,
    inference(unflattening,[status(thm)],[c_14451]) ).

cnf(c_22283,plain,
    c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
    inference(demodulation,[status(thm)],[c_871,c_13967]) ).

cnf(c_35076,plain,
    c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)),tc_RealDef_Oreal),
    inference(superposition,[status(thm)],[c_8379,c_899]) ).

cnf(c_38076,plain,
    c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(X0),
    inference(demodulation,[status(thm)],[c_35076,c_899,c_14452]) ).

cnf(c_38081,plain,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X0,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)),
    inference(superposition,[status(thm)],[c_22283,c_38076]) ).

cnf(c_38095,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_8524,c_38081]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV592-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n006.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 : Fri May  3 00:20:04 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.91/1.73  % SZS status Started for theBenchmark.p
% 7.91/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.91/1.73  
% 7.91/1.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.91/1.73  
% 7.91/1.73  ------  iProver source info
% 7.91/1.73  
% 7.91/1.73  git: date: 2024-05-02 19:28:25 +0000
% 7.91/1.73  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.91/1.73  git: non_committed_changes: false
% 7.91/1.73  
% 7.91/1.73  ------ Parsing...successful
% 7.91/1.73  
% 7.91/1.73  
% 7.91/1.73  
% 7.91/1.73  ------ Preprocessing... sup_sim: 10  sf_s  rm: 37 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  sup_sim: 69  sf_s  rm: 63 0s  sf_e  pe_s  pe_e 
% 7.91/1.73  
% 7.91/1.73  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.91/1.73  
% 7.91/1.73  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.91/1.73  ------ Proving...
% 7.91/1.73  ------ Problem Properties 
% 7.91/1.73  
% 7.91/1.73  
% 7.91/1.73  clauses                                 514
% 7.91/1.73  conjectures                             0
% 7.91/1.73  EPR                                     12
% 7.91/1.73  Horn                                    420
% 7.91/1.73  unary                                   154
% 7.91/1.73  binary                                  172
% 7.91/1.73  lits                                    1110
% 7.91/1.73  lits eq                                 275
% 7.91/1.73  fd_pure                                 0
% 7.91/1.73  fd_pseudo                               0
% 7.91/1.73  fd_cond                                 44
% 7.91/1.73  fd_pseudo_cond                          22
% 7.91/1.73  AC symbols                              0
% 7.91/1.73  
% 7.91/1.73  ------ Input Options Time Limit: Unbounded
% 7.91/1.73  
% 7.91/1.73  
% 7.91/1.73  ------ 
% 7.91/1.73  Current options:
% 7.91/1.73  ------ 
% 7.91/1.73  
% 7.91/1.73  
% 7.91/1.73  
% 7.91/1.73  
% 7.91/1.73  ------ Proving...
% 7.91/1.73  
% 7.91/1.73  
% 7.91/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.91/1.73  
% 7.91/1.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.91/1.73  
% 7.91/1.73  
%------------------------------------------------------------------------------