TSTP Solution File: SYO691-1.005 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYO691-1.005 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 Sep  1 04:41:00 EDT 2023

% Result   : Satisfiable 162.99s 22.36s
% Output   : Saturation 162.99s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    top(f(f(f(f(f(f(f(X0,a),a),a),a),a),X1),f(X2,a)),f(f(X2,f(f(f(f(f(f(X1,a),a),a),a),a),a)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

cnf(c_50,negated_conjecture,
    ~ seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(c_51,plain,
    ( ~ top(X0,X1)
    | step(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_top) ).

cnf(c_52,plain,
    ( ~ step(X0,X1)
    | step(f(X0,X2),f(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_left) ).

cnf(c_53,plain,
    ( ~ step(X0,X1)
    | step(f(X2,X0),f(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_right) ).

cnf(c_54,plain,
    seq(zero,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_sequence_zero) ).

cnf(c_55,plain,
    ( ~ seq(X0,X1,X2)
    | ~ step(X2,X3)
    | seq(succ(X0),X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_sequence_succ) ).

cnf(c_86,plain,
    step(f(f(f(f(f(f(f(X0,a),a),a),a),a),X1),f(X2,a)),f(f(X2,f(f(f(f(f(f(X1,a),a),a),a),a),a)),X0)),
    inference(resolution,[status(thm)],[c_49,c_51]) ).

cnf(c_112,plain,
    step(f(f(f(f(f(f(f(X0_13,a),a),a),a),a),X1_13),f(X2_13,a)),f(f(X2_13,f(f(f(f(f(f(X1_13,a),a),a),a),a),a)),X0_13)),
    inference(subtyping,[status(esa)],[c_86]) ).

cnf(c_113,plain,
    ( ~ seq(X0_14,X0_13,X1_13)
    | ~ step(X1_13,X2_13)
    | seq(succ(X0_14),X0_13,X2_13) ),
    inference(subtyping,[status(esa)],[c_55]) ).

cnf(c_114,plain,
    seq(zero,X0_13,X0_13),
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_115,plain,
    ( ~ step(X0_13,X1_13)
    | step(f(X2_13,X0_13),f(X2_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_116,plain,
    ( ~ step(X0_13,X1_13)
    | step(f(X0_13,X2_13),f(X1_13,X2_13)) ),
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_117,negated_conjecture,
    ~ seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X0_13,X0_13),
    inference(subtyping,[status(esa)],[c_50]) ).

cnf(c_120,plain,
    ( ~ step(X0_13,X1_13)
    | seq(succ(zero),X0_13,X1_13) ),
    inference(superposition,[status(thm)],[c_114,c_113]) ).

cnf(c_122,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X1_13,X2_13)
    | seq(succ(succ(zero)),X0_13,X2_13) ),
    inference(superposition,[status(thm)],[c_120,c_113]) ).

cnf(c_125,plain,
    ( ~ step(X0_13,f(X1_13,X2_13))
    | ~ step(X2_13,X3_13)
    | seq(succ(succ(zero)),X0_13,f(X1_13,X3_13)) ),
    inference(superposition,[status(thm)],[c_115,c_122]) ).

cnf(c_126,plain,
    ( ~ step(X0_13,f(X1_13,X2_13))
    | ~ step(X1_13,X3_13)
    | seq(succ(succ(zero)),X0_13,f(X3_13,X2_13)) ),
    inference(superposition,[status(thm)],[c_116,c_122]) ).

cnf(c_129,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X1_13,X2_13)
    | seq(succ(succ(zero)),f(X3_13,X0_13),f(X3_13,X2_13)) ),
    inference(superposition,[status(thm)],[c_115,c_125]) ).

cnf(c_130,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X2_13,X3_13)
    | seq(succ(succ(zero)),f(X0_13,X2_13),f(X1_13,X3_13)) ),
    inference(superposition,[status(thm)],[c_116,c_125]) ).

cnf(c_133,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X2_13,X3_13)
    | seq(succ(succ(zero)),f(X2_13,X0_13),f(X3_13,X1_13)) ),
    inference(superposition,[status(thm)],[c_115,c_126]) ).

cnf(c_134,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X1_13,X2_13)
    | seq(succ(succ(zero)),f(X0_13,X3_13),f(X2_13,X3_13)) ),
    inference(superposition,[status(thm)],[c_116,c_126]) ).

cnf(c_137,plain,
    ( ~ step(X0_13,f(X1_13,X2_13))
    | ~ step(X2_13,X3_13)
    | seq(succ(succ(zero)),f(X4_13,X0_13),f(X4_13,f(X1_13,X3_13))) ),
    inference(superposition,[status(thm)],[c_115,c_129]) ).

cnf(c_138,plain,
    ( ~ step(X0_13,f(X1_13,X2_13))
    | ~ step(X1_13,X3_13)
    | seq(succ(succ(zero)),f(X4_13,X0_13),f(X4_13,f(X3_13,X2_13))) ),
    inference(superposition,[status(thm)],[c_116,c_129]) ).

cnf(c_140,plain,
    ( ~ step(f(X0_13,X1_13),X2_13)
    | ~ step(X3_13,X0_13)
    | ~ step(X4_13,X1_13)
    | seq(succ(succ(succ(zero))),f(X3_13,X4_13),X2_13) ),
    inference(superposition,[status(thm)],[c_130,c_113]) ).

cnf(c_144,plain,
    ( ~ step(f(X0_13,X1_13),X2_13)
    | ~ step(X3_13,X1_13)
    | ~ step(X4_13,X0_13)
    | seq(succ(succ(succ(zero))),f(X4_13,X3_13),X2_13) ),
    inference(superposition,[status(thm)],[c_133,c_113]) ).

cnf(c_147,plain,
    ( ~ step(X0_13,f(X1_13,X2_13))
    | ~ step(X2_13,X3_13)
    | seq(succ(succ(zero)),f(X0_13,X4_13),f(f(X1_13,X3_13),X4_13)) ),
    inference(superposition,[status(thm)],[c_115,c_134]) ).

cnf(c_148,plain,
    ( ~ step(X0_13,f(X1_13,X2_13))
    | ~ step(X1_13,X3_13)
    | seq(succ(succ(zero)),f(X0_13,X4_13),f(f(X3_13,X2_13),X4_13)) ),
    inference(superposition,[status(thm)],[c_116,c_134]) ).

cnf(c_151,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X1_13,X2_13)
    | seq(succ(succ(zero)),f(X3_13,f(X4_13,X0_13)),f(X3_13,f(X4_13,X2_13))) ),
    inference(superposition,[status(thm)],[c_115,c_137]) ).

cnf(c_152,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X2_13,X3_13)
    | seq(succ(succ(zero)),f(X4_13,f(X0_13,X2_13)),f(X4_13,f(X1_13,X3_13))) ),
    inference(superposition,[status(thm)],[c_116,c_137]) ).

cnf(c_183,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X2_13,X3_13)
    | seq(succ(succ(zero)),f(X4_13,f(X2_13,X0_13)),f(X4_13,f(X3_13,X1_13))) ),
    inference(superposition,[status(thm)],[c_115,c_138]) ).

cnf(c_184,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X1_13,X2_13)
    | seq(succ(succ(zero)),f(X3_13,f(X0_13,X4_13)),f(X3_13,f(X2_13,X4_13))) ),
    inference(superposition,[status(thm)],[c_116,c_138]) ).

cnf(c_241,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X1_13,X2_13)
    | seq(succ(succ(zero)),f(f(X3_13,X0_13),X4_13),f(f(X3_13,X2_13),X4_13)) ),
    inference(superposition,[status(thm)],[c_115,c_147]) ).

cnf(c_242,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X2_13,X3_13)
    | seq(succ(succ(zero)),f(f(X0_13,X2_13),X4_13),f(f(X1_13,X3_13),X4_13)) ),
    inference(superposition,[status(thm)],[c_116,c_147]) ).

cnf(c_269,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X2_13,X3_13)
    | seq(succ(succ(zero)),f(f(X2_13,X0_13),X4_13),f(f(X3_13,X1_13),X4_13)) ),
    inference(superposition,[status(thm)],[c_115,c_148]) ).

cnf(c_270,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X1_13,X2_13)
    | seq(succ(succ(zero)),f(f(X0_13,X3_13),X4_13),f(f(X2_13,X3_13),X4_13)) ),
    inference(superposition,[status(thm)],[c_116,c_148]) ).

cnf(c_304,plain,
    ( ~ step(X0_13,f(X1_13,X2_13))
    | ~ step(X2_13,X3_13)
    | seq(succ(succ(zero)),f(X4_13,f(X5_13,X0_13)),f(X4_13,f(X5_13,f(X1_13,X3_13)))) ),
    inference(superposition,[status(thm)],[c_115,c_151]) ).

cnf(c_305,plain,
    ( ~ step(X0_13,f(X1_13,X2_13))
    | ~ step(X1_13,X3_13)
    | seq(succ(succ(zero)),f(X4_13,f(X5_13,X0_13)),f(X4_13,f(X5_13,f(X3_13,X2_13)))) ),
    inference(superposition,[status(thm)],[c_116,c_151]) ).

cnf(c_439,plain,
    ( ~ step(f(X0_13,f(X1_13,X2_13)),X3_13)
    | ~ step(X4_13,X1_13)
    | ~ step(X5_13,X2_13)
    | seq(succ(succ(succ(zero))),f(X0_13,f(X4_13,X5_13)),X3_13) ),
    inference(superposition,[status(thm)],[c_152,c_113]) ).

cnf(c_590,plain,
    ( ~ step(X0_13,f(X1_13,X2_13))
    | ~ step(X2_13,X3_13)
    | seq(succ(succ(zero)),f(X4_13,f(X0_13,X5_13)),f(X4_13,f(f(X1_13,X3_13),X5_13))) ),
    inference(superposition,[status(thm)],[c_115,c_184]) ).

cnf(c_771,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X2_13,X3_13)
    | ~ step(X4_13,X0_13)
    | seq(succ(succ(succ(zero))),f(X2_13,X4_13),f(X3_13,X1_13)) ),
    inference(superposition,[status(thm)],[c_115,c_140]) ).

cnf(c_772,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X2_13,X0_13)
    | ~ step(X3_13,X4_13)
    | seq(succ(succ(succ(zero))),f(X2_13,X3_13),f(X1_13,X4_13)) ),
    inference(superposition,[status(thm)],[c_116,c_140]) ).

cnf(c_3255,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X2_13,X0_13)
    | ~ step(X3_13,X4_13)
    | seq(succ(succ(succ(zero))),f(X3_13,X2_13),f(X4_13,X1_13)) ),
    inference(superposition,[status(thm)],[c_115,c_144]) ).

cnf(c_3256,plain,
    ( ~ step(X0_13,X1_13)
    | ~ step(X2_13,X3_13)
    | ~ step(X4_13,X0_13)
    | seq(succ(succ(succ(zero))),f(X4_13,X2_13),f(X1_13,X3_13)) ),
    inference(superposition,[status(thm)],[c_116,c_144]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO691-1.005 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 00:00:53 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 162.99/22.36  % SZS status Started for theBenchmark.p
% 162.99/22.36  % SZS status Satisfiable for theBenchmark.p
% 162.99/22.36  
% 162.99/22.36  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 162.99/22.36  
% 162.99/22.36  ------  iProver source info
% 162.99/22.36  
% 162.99/22.36  git: date: 2023-05-31 18:12:56 +0000
% 162.99/22.36  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 162.99/22.36  git: non_committed_changes: false
% 162.99/22.36  git: last_make_outside_of_git: false
% 162.99/22.36  
% 162.99/22.36  ------ Parsing...successful
% 162.99/22.36  
% 162.99/22.36  
% 162.99/22.36  
% 162.99/22.36  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 162.99/22.36  
% 162.99/22.36  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 162.99/22.36  ------ Proving...
% 162.99/22.36  ------ Problem Properties 
% 162.99/22.36  
% 162.99/22.36  
% 162.99/22.36  clauses                                 6
% 162.99/22.36  conjectures                             1
% 162.99/22.36  EPR                                     1
% 162.99/22.36  Horn                                    6
% 162.99/22.36  unary                                   3
% 162.99/22.36  binary                                  2
% 162.99/22.36  lits                                    10
% 162.99/22.36  lits eq                                 0
% 162.99/22.36  fd_pure                                 0
% 162.99/22.36  fd_pseudo                               0
% 162.99/22.36  fd_cond                                 0
% 162.99/22.36  fd_pseudo_cond                          0
% 162.99/22.36  AC symbols                              0
% 162.99/22.36  
% 162.99/22.36  ------ Input Options Time Limit: Unbounded
% 162.99/22.36  
% 162.99/22.36  
% 162.99/22.36  ------ 
% 162.99/22.36  Current options:
% 162.99/22.36  ------ 
% 162.99/22.36  
% 162.99/22.36  
% 162.99/22.36  
% 162.99/22.36  
% 162.99/22.36  ------ Proving...
% 162.99/22.36  
% 162.99/22.36  
% 162.99/22.36  % SZS status Satisfiable for theBenchmark.p
% 162.99/22.36  
% 162.99/22.36  % SZS output start Saturation for theBenchmark.p
% See solution above
% 162.99/22.36  
% 162.99/22.36  
%------------------------------------------------------------------------------