TSTP Solution File: LAT384+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LAT384+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 06:18:25 EDT 2023

% Result   : CounterSatisfiable 31.95s 5.23s
% Output   : Model 31.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : LAT384+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n031.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug 24 05:25:06 EDT 2023
% 0.15/0.35  % 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 31.95/5.23  % SZS status Started for theBenchmark.p
% 31.95/5.23  % SZS status CounterSatisfiable for theBenchmark.p
% 31.95/5.23  
% 31.95/5.23  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 31.95/5.23  
% 31.95/5.23  ------  iProver source info
% 31.95/5.23  
% 31.95/5.23  git: date: 2023-05-31 18:12:56 +0000
% 31.95/5.23  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 31.95/5.23  git: non_committed_changes: false
% 31.95/5.23  git: last_make_outside_of_git: false
% 31.95/5.23  
% 31.95/5.23  ------ Parsing...
% 31.95/5.23  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 31.95/5.23  
% 31.95/5.23  ------ Preprocessing... sup_sim: 5  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 7  sf_s  rm: 7 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 7 0s  sf_e  pe_s  pe_e 
% 31.95/5.23  
% 31.95/5.23  ------ Preprocessing...
% 31.95/5.23  
% 31.95/5.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 31.95/5.23  ------ Proving...
% 31.95/5.23  ------ Problem Properties 
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  clauses                                 39
% 31.95/5.23  conjectures                             1
% 31.95/5.23  EPR                                     21
% 31.95/5.23  Horn                                    34
% 31.95/5.23  unary                                   6
% 31.95/5.23  binary                                  4
% 31.95/5.23  lits                                    144
% 31.95/5.23  lits eq                                 6
% 31.95/5.23  fd_pure                                 0
% 31.95/5.23  fd_pseudo                               0
% 31.95/5.23  fd_cond                                 0
% 31.95/5.23  fd_pseudo_cond                          3
% 31.95/5.23  AC symbols                              0
% 31.95/5.23  
% 31.95/5.23  ------ Input Options Time Limit: Unbounded
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ 
% 31.95/5.23  Current options:
% 31.95/5.23  ------ 
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  ------ Proving...
% 31.95/5.23  
% 31.95/5.23  
% 31.95/5.23  % SZS status CounterSatisfiable for theBenchmark.p
% 31.95/5.23  
% 31.95/5.23  ------ Building Model...Done
% 31.95/5.23  
% 31.95/5.23  %------ The model is defined over ground terms (initial term algebra).
% 31.95/5.23  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 31.95/5.23  %------ where \phi is a formula over the term algebra.
% 31.95/5.23  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 31.95/5.23  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 31.95/5.23  %------ See help for --sat_out_model for different model outputs.
% 31.95/5.23  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 31.95/5.23  %------ where the first argument stands for the sort ($i in the unsorted case)
% 31.95/5.23  % SZS output start Model for theBenchmark.p
% 31.95/5.23  
% 31.95/5.23  %------ Negative definition of equality_sorted 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0_12,X0_1,X1_1] : 
% 31.95/5.23        ( ~(equality_sorted(X0_12,X0_1,X1_1)) <=>
% 31.95/5.23             (
% 31.95/5.23                (
% 31.95/5.23                  ( X0_12=iProver_aElementOf0_2_$i & X0_14=xU )
% 31.95/5.23                 &
% 31.95/5.23                  ( X1_14!=xU )
% 31.95/5.23                 &
% 31.95/5.23                  ( X1_14!=szRzazndt0(xf) )
% 31.95/5.23                 &
% 31.95/5.23                  ( X1_14!=szDzozmdt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_12=iProver_aElementOf0_2_$i & X0_14=xT )
% 31.95/5.23                 &
% 31.95/5.23                  ( X1_14!=xT )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_12=iProver_aElementOf0_2_$i & X0_14=szRzazndt0(xf) )
% 31.95/5.23                 &
% 31.95/5.23                  ( X1_14!=xU )
% 31.95/5.23                 &
% 31.95/5.23                  ( X1_14!=szRzazndt0(xf) )
% 31.95/5.23                 &
% 31.95/5.23                  ( X1_14!=szDzozmdt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_12=iProver_aElementOf0_2_$i & X0_14=szDzozmdt0(xf) )
% 31.95/5.23                 &
% 31.95/5.23                  ( X1_14!=xU )
% 31.95/5.23                 &
% 31.95/5.23                  ( X1_14!=szRzazndt0(xf) )
% 31.95/5.23                 &
% 31.95/5.23                  ( X1_14!=szDzozmdt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_12=iProver_aElementOf0_2_$i & X1_14=xU )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_14!=xU )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_14!=szRzazndt0(xf) )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_14!=szDzozmdt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_12=iProver_aElementOf0_2_$i & X1_14=xT )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_14!=xT )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_12=iProver_aElementOf0_2_$i & X1_14=szRzazndt0(xf) )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_14!=xU )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_14!=szRzazndt0(xf) )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_14!=szDzozmdt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_12=iProver_aElementOf0_2_$i & X1_14=szDzozmdt0(xf) )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_14!=xU )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_14!=szRzazndt0(xf) )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_14!=szDzozmdt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23             )
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Positive definition of aSet0 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0_14] : 
% 31.95/5.23        ( aSet0(X0_14) <=>
% 31.95/5.23             (
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=xU )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=szRzazndt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=szDzozmdt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23             )
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Positive definition of isEmpty0 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0] : 
% 31.95/5.23        ( isEmpty0(X0) <=>
% 31.95/5.23            $false
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Positive definition of aSubsetOf0 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0_14,X1_14] : 
% 31.95/5.23        ( aSubsetOf0(X0_14,X1_14) <=>
% 31.95/5.23             (
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=xU & X1_14=xU )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=xU & X1_14=szRzazndt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=xU & X1_14=szDzozmdt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=szRzazndt0(xf) & X1_14=xU )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=szRzazndt0(xf) & X1_14=szRzazndt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=szRzazndt0(xf) & X1_14=szDzozmdt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=szDzozmdt0(xf) & X1_14=xU )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=szDzozmdt0(xf) & X1_14=szRzazndt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=szDzozmdt0(xf) & X1_14=szDzozmdt0(xf) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23             )
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Positive definition of aCompleteLattice0 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0] : 
% 31.95/5.23        ( aCompleteLattice0(X0) <=>
% 31.95/5.23            $false
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Positive definition of aFunction0 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0] : 
% 31.95/5.23        ( aFunction0(X0) <=>
% 31.95/5.23            $false
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Positive definition of isOn0 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0,X1] : 
% 31.95/5.23        ( isOn0(X0,X1) <=>
% 31.95/5.23            $false
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Positive definition of aFixedPointOf0 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0,X1] : 
% 31.95/5.23        ( aFixedPointOf0(X0,X1) <=>
% 31.95/5.23            $false
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Positive definition of isMonotone0 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0] : 
% 31.95/5.23        ( isMonotone0(X0) <=>
% 31.95/5.23            $false
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Negative definition of arAF0_sdtlseqdt0_0_1 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0_13] : 
% 31.95/5.23        ( ~(arAF0_sdtlseqdt0_0_1(X0_13)) <=>
% 31.95/5.23            $false
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Negative definition of arAF0_aElementOf0_0_1 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0_13] : 
% 31.95/5.23        ( ~(arAF0_aElementOf0_0_1(X0_13)) <=>
% 31.95/5.23            $false
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Negative definition of arAF0_aInfimumOfIn0_0_1 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0_13] : 
% 31.95/5.23        ( ~(arAF0_aInfimumOfIn0_0_1(X0_13)) <=>
% 31.95/5.23            $false
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Negative definition of arAF0_aUpperBoundOfIn0_0_1 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0_13] : 
% 31.95/5.23        ( ~(arAF0_aUpperBoundOfIn0_0_1(X0_13)) <=>
% 31.95/5.23            $false
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Negative definition of arAF0_aLowerBoundOfIn0_0_1 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0_13] : 
% 31.95/5.23        ( ~(arAF0_aLowerBoundOfIn0_0_1(X0_13)) <=>
% 31.95/5.23            $false
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  
% 31.95/5.23  %------ Negative definition of arG4_aSupremumOfIn0_0_1_2 
% 31.95/5.23  fof(lit_def,axiom,
% 31.95/5.23      (! [X0_13,X0_14,X1_14] : 
% 31.95/5.23        ( ~(arG4_aSupremumOfIn0_0_1_2(X0_13,X0_14,X1_14)) <=>
% 31.95/5.23             (
% 31.95/5.23              ? [X2_14] : 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_13=arG4_arAF0_sK7_0_1_0(X2_14) & X0_14=xT )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23               | 
% 31.95/5.23                (
% 31.95/5.23                  ( X0_14=xT )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_13!=arG4_arAF0_sK7_0_1_0(X2_14) )
% 31.95/5.23                 &
% 31.95/5.23                  ( X0_13!=arG4_arAF0_sK7_0_1_0(X1_14) )
% 31.95/5.23                )
% 31.95/5.23  
% 31.95/5.23             )
% 31.95/5.23        )
% 31.95/5.23      )
% 31.95/5.23     ).
% 31.95/5.23  % SZS output end Model for theBenchmark.p
% 31.95/5.23  
%------------------------------------------------------------------------------