TSTP Solution File: NUM448+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM448+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 : Thu Aug 31 11:30:32 EDT 2023

% Result   : CounterSatisfiable 7.45s 1.68s
% Output   : Model 7.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM448+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n031.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 Aug 25 08:25:36 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.45/1.68  % SZS status Started for theBenchmark.p
% 7.45/1.68  % SZS status CounterSatisfiable for theBenchmark.p
% 7.45/1.68  
% 7.45/1.68  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.45/1.68  
% 7.45/1.68  ------  iProver source info
% 7.45/1.68  
% 7.45/1.68  git: date: 2023-05-31 18:12:56 +0000
% 7.45/1.68  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.45/1.68  git: non_committed_changes: false
% 7.45/1.68  git: last_make_outside_of_git: false
% 7.45/1.68  
% 7.45/1.68  ------ Parsing...
% 7.45/1.68  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.45/1.68  
% 7.45/1.68  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 7.45/1.68  
% 7.45/1.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.45/1.68  
% 7.45/1.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e 
% 7.45/1.68  ------ Proving...
% 7.45/1.68  ------ Problem Properties 
% 7.45/1.68  
% 7.45/1.68  
% 7.45/1.68  clauses                                 108
% 7.45/1.68  conjectures                             4
% 7.45/1.68  EPR                                     23
% 7.45/1.68  Horn                                    70
% 7.45/1.68  unary                                   3
% 7.45/1.68  binary                                  18
% 7.45/1.68  lits                                    407
% 7.45/1.68  lits eq                                 55
% 7.45/1.68  fd_pure                                 0
% 7.45/1.68  fd_pseudo                               0
% 7.45/1.68  fd_cond                                 18
% 7.45/1.68  fd_pseudo_cond                          9
% 7.45/1.68  AC symbols                              0
% 7.45/1.68  
% 7.45/1.68  ------ Input Options Time Limit: Unbounded
% 7.45/1.68  
% 7.45/1.68  
% 7.45/1.68  ------ 
% 7.45/1.68  Current options:
% 7.45/1.68  ------ 
% 7.45/1.68  
% 7.45/1.68  
% 7.45/1.68  
% 7.45/1.68  
% 7.45/1.68  ------ Proving...
% 7.45/1.68  
% 7.45/1.68  
% 7.45/1.68  % SZS status CounterSatisfiable for theBenchmark.p
% 7.45/1.68  
% 7.45/1.68  ------ Building Model...Done
% 7.45/1.68  
% 7.45/1.68  %------ The model is defined over ground terms (initial term algebra).
% 7.45/1.68  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 7.45/1.68  %------ where \phi is a formula over the term algebra.
% 7.45/1.68  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 7.45/1.68  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 7.45/1.68  %------ See help for --sat_out_model for different model outputs.
% 7.45/1.68  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 7.45/1.68  %------ where the first argument stands for the sort ($i in the unsorted case)
% 7.45/1.68  % SZS output start Model for theBenchmark.p
% 7.45/1.68  
% 7.45/1.68  %------ Negative definition of equality_sorted 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0_12,X0_1,X1_1] : 
% 7.45/1.68        ( ~(equality_sorted(X0_12,X0_1,X1_1)) <=>
% 7.45/1.68             (
% 7.45/1.68                (
% 7.45/1.68                  ( X0_12=$i & X0=smndt0(sz10) & X1=cS2076 )
% 7.45/1.68                )
% 7.45/1.68  
% 7.45/1.68               | 
% 7.45/1.68                (
% 7.45/1.68                  ( X0_12=$i & X0=cS2076 )
% 7.45/1.68                 &
% 7.45/1.68                  ( X1!=sz00 )
% 7.45/1.68                 &
% 7.45/1.68                  ( X1!=cS2076 )
% 7.45/1.68                )
% 7.45/1.68  
% 7.45/1.68               | 
% 7.45/1.68                (
% 7.45/1.68                  ( X0_12=$i & X0=cS2076 & X1=sz00 )
% 7.45/1.68                )
% 7.45/1.68  
% 7.45/1.68               | 
% 7.45/1.68                (
% 7.45/1.68                  ( X0_12=$i & X0=stldt0(sbsmnsldt0(cS2043)) & X1=cS2076 )
% 7.45/1.68                )
% 7.45/1.68  
% 7.45/1.68               | 
% 7.45/1.68                (
% 7.45/1.68                  ( X0_12=$i & X0=sdtpldt0(sz00,cS2076) & X1=cS2076 )
% 7.45/1.68                )
% 7.45/1.68  
% 7.45/1.68               | 
% 7.45/1.68                (
% 7.45/1.68                  ( X0_12=$i & X0=sdtpldt0(cS2076,sz00) & X1=cS2076 )
% 7.45/1.68                )
% 7.45/1.68  
% 7.45/1.68               | 
% 7.45/1.68                (
% 7.45/1.68                  ( X0_12=$i & X0=sdtasdt0(sz10,cS2076) & X1=cS2076 )
% 7.45/1.68                )
% 7.45/1.68  
% 7.45/1.68               | 
% 7.45/1.68                (
% 7.45/1.68                  ( X0_12=$i & X0=sdtasdt0(cS2076,sz10) & X1=cS2076 )
% 7.45/1.68                )
% 7.45/1.68  
% 7.45/1.68               | 
% 7.45/1.68                (
% 7.45/1.68                  ( X0_12=$i & X1=cS2076 )
% 7.45/1.68                 &
% 7.45/1.68                  ( X0!=smndt0(sz10) )
% 7.45/1.68                 &
% 7.45/1.68                  ( X0!=cS2076 )
% 7.45/1.68                 &
% 7.45/1.68                  ( X0!=sdtpldt0(sz00,cS2076) )
% 7.45/1.68                 &
% 7.45/1.68                  ( X0!=sdtpldt0(cS2076,sz00) )
% 7.45/1.68                 &
% 7.45/1.68                  ( X0!=sdtasdt0(sz10,cS2076) )
% 7.45/1.68                 &
% 7.45/1.68                  ( X0!=sdtasdt0(cS2076,sz10) )
% 7.45/1.68                )
% 7.45/1.68  
% 7.45/1.68             )
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Negative definition of aInteger0 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0] : 
% 7.45/1.68        ( ~(aInteger0(X0)) <=>
% 7.45/1.68             (
% 7.45/1.68                (
% 7.45/1.68                  ( X0=cS2076 )
% 7.45/1.68                )
% 7.45/1.68  
% 7.45/1.68             )
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of aDivisorOf0 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0,X1] : 
% 7.45/1.68        ( aDivisorOf0(X0,X1) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of sdteqdtlpzmzozddtrp0 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0,X1,X2] : 
% 7.45/1.68        ( sdteqdtlpzmzozddtrp0(X0,X1,X2) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of isPrime0 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0] : 
% 7.45/1.68        ( isPrime0(X0) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of aSubsetOf0 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0,X1] : 
% 7.45/1.68        ( aSubsetOf0(X0,X1) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of aElementOf0 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0,X1] : 
% 7.45/1.68        ( aElementOf0(X0,X1) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of aSet0 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0] : 
% 7.45/1.68        ( aSet0(X0) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of sP0 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0,X1,X2] : 
% 7.45/1.68        ( sP0(X0,X1,X2) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of sP2 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0,X1,X2] : 
% 7.45/1.68        ( sP2(X0,X1,X2) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of sP4 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0,X1] : 
% 7.45/1.68        ( sP4(X0,X1) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of sP5 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0] : 
% 7.45/1.68        ( sP5(X0) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of isOpen0 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0] : 
% 7.45/1.68        ( isOpen0(X0) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  
% 7.45/1.68  %------ Positive definition of isClosed0 
% 7.45/1.68  fof(lit_def,axiom,
% 7.45/1.68      (! [X0] : 
% 7.45/1.68        ( isClosed0(X0) <=>
% 7.45/1.68            $false
% 7.45/1.68        )
% 7.45/1.68      )
% 7.45/1.68     ).
% 7.45/1.68  % SZS output end Model for theBenchmark.p
% 7.45/1.68  
%------------------------------------------------------------------------------