TSTP Solution File: SYO691-1.000 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYO691-1.000 : TPTP v8.1.2. Released v7.3.0.
% 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 03:38:49 EDT 2024

% Result   : Unsatisfiable 2.92s 1.13s
% Output   : CNFRefutation 2.92s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

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

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

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

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

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

cnf(c_112,plain,
    succ(zero) = sP0_iProver_def,
    definition ).

cnf(c_113,plain,
    succ(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_114,plain,
    succ(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_115,negated_conjecture,
    ~ seq(sP2_iProver_def,X0,X0),
    inference(demodulation,[status(thm)],[c_50,c_112,c_113,c_114]) ).

cnf(c_258,plain,
    ( ~ step(X0,X1)
    | seq(succ(zero),X0,X1) ),
    inference(superposition,[status(thm)],[c_54,c_55]) ).

cnf(c_259,plain,
    ( ~ step(X0,X1)
    | seq(sP0_iProver_def,X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_258,c_112]) ).

cnf(c_267,plain,
    ( ~ step(X0,X1)
    | ~ step(X1,X2)
    | seq(succ(sP0_iProver_def),X0,X2) ),
    inference(superposition,[status(thm)],[c_259,c_55]) ).

cnf(c_268,plain,
    ( ~ step(X0,X1)
    | ~ step(X1,X2)
    | seq(sP1_iProver_def,X0,X2) ),
    inference(light_normalisation,[status(thm)],[c_267,c_113]) ).

cnf(c_279,plain,
    ( ~ step(f(X0,X1),X2)
    | ~ step(X3,X0)
    | seq(sP1_iProver_def,f(X3,X1),X2) ),
    inference(superposition,[status(thm)],[c_52,c_268]) ).

cnf(c_299,plain,
    ( ~ step(X0,X1)
    | ~ step(X2,X3)
    | seq(sP1_iProver_def,f(X2,X0),f(X3,X1)) ),
    inference(superposition,[status(thm)],[c_53,c_279]) ).

cnf(c_354,plain,
    ( ~ step(f(X0,X1),X2)
    | ~ step(X3,X1)
    | ~ step(X4,X0)
    | seq(succ(sP1_iProver_def),f(X4,X3),X2) ),
    inference(superposition,[status(thm)],[c_299,c_55]) ).

cnf(c_355,plain,
    ( ~ step(f(X0,X1),X2)
    | ~ step(X3,X1)
    | ~ step(X4,X0)
    | seq(sP2_iProver_def,f(X4,X3),X2) ),
    inference(light_normalisation,[status(thm)],[c_354,c_114]) ).

cnf(c_474,plain,
    ( ~ step(X0,f(X1,X2))
    | ~ step(X3,f(X4,a))
    | seq(sP2_iProver_def,f(X0,X3),f(f(X4,f(X2,a)),X1)) ),
    inference(superposition,[status(thm)],[c_86,c_355]) ).

cnf(c_911,plain,
    ( ~ step(f(X0,f(X1,a)),f(X2,X1))
    | ~ step(X2,f(X0,a)) ),
    inference(superposition,[status(thm)],[c_474,c_115]) ).

cnf(c_925,plain,
    ~ step(f(X0,f(X1,a)),f(f(X0,X1),a)),
    inference(superposition,[status(thm)],[c_86,c_911]) ).

cnf(c_997,plain,
    $false,
    inference(superposition,[status(thm)],[c_86,c_925]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SYO691-1.000 : TPTP v8.1.2. Released v7.3.0.
% 0.02/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n006.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu May  2 19:55:34 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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
% 2.92/1.13  % SZS status Started for theBenchmark.p
% 2.92/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 2.92/1.13  
% 2.92/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.92/1.13  
% 2.92/1.13  ------  iProver source info
% 2.92/1.13  
% 2.92/1.13  git: date: 2024-05-02 19:28:25 +0000
% 2.92/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.92/1.13  git: non_committed_changes: false
% 2.92/1.13  
% 2.92/1.13  ------ Parsing...successful
% 2.92/1.13  
% 2.92/1.13  
% 2.92/1.13  
% 2.92/1.13  ------ 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 
% 2.92/1.13  
% 2.92/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.92/1.13  
% 2.92/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.92/1.13  ------ Proving...
% 2.92/1.13  ------ Problem Properties 
% 2.92/1.13  
% 2.92/1.13  
% 2.92/1.13  clauses                                 9
% 2.92/1.13  conjectures                             1
% 2.92/1.13  EPR                                     2
% 2.92/1.13  Horn                                    9
% 2.92/1.13  unary                                   6
% 2.92/1.13  binary                                  2
% 2.92/1.13  lits                                    13
% 2.92/1.13  lits eq                                 3
% 2.92/1.13  fd_pure                                 0
% 2.92/1.13  fd_pseudo                               0
% 2.92/1.13  fd_cond                                 0
% 2.92/1.13  fd_pseudo_cond                          0
% 2.92/1.13  AC symbols                              0
% 2.92/1.13  
% 2.92/1.13  ------ Schedule dynamic 5 is on 
% 2.92/1.13  
% 2.92/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.92/1.13  
% 2.92/1.13  
% 2.92/1.13  ------ 
% 2.92/1.13  Current options:
% 2.92/1.13  ------ 
% 2.92/1.13  
% 2.92/1.13  
% 2.92/1.13  
% 2.92/1.13  
% 2.92/1.13  ------ Proving...
% 2.92/1.13  
% 2.92/1.13  
% 2.92/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 2.92/1.13  
% 2.92/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.92/1.13  
% 2.92/1.13  
%------------------------------------------------------------------------------