TSTP Solution File: GRP759+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP759+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 01:01:43 EDT 2023

% Result   : Satisfiable 208.66s 28.33s
% Output   : Saturation 208.66s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : mult(X0,i(X0)) = e,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

fof(f2,axiom,
    ! [X0] : mult(X0,e) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

fof(f3,axiom,
    ! [X1,X0,X2] : mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

fof(f4,axiom,
    mult(op_a,op_b) != mult(op_b,op_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

fof(f5,axiom,
    ! [X3] :
      ( c4 = X3
      | c3 = X3
      | c2 = X3
      | c1 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a) ).

fof(f6,axiom,
    c1 != c2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1_not_c2) ).

fof(f7,axiom,
    c1 != c3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1_not_c3) ).

fof(f8,axiom,
    c1 != c4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1_not_c4) ).

fof(f9,axiom,
    c2 != c3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_not_c3) ).

fof(f10,axiom,
    c2 != c4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_not_c4) ).

fof(f11,axiom,
    c3 != c4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3_not_c4) ).

fof(f12,plain,
    ! [X0,X1,X2] : mult(X1,mult(X0,X2)) = mult(mult(X1,X0),X2),
    inference(rectify,[],[f3]) ).

fof(f13,plain,
    ! [X0] :
      ( c4 = X0
      | c3 = X0
      | c2 = X0
      | c1 = X0 ),
    inference(rectify,[],[f5]) ).

fof(f14,plain,
    ! [X0] : mult(X0,i(X0)) = e,
    inference(cnf_transformation,[],[f1]) ).

fof(f15,plain,
    ! [X0] : mult(X0,e) = X0,
    inference(cnf_transformation,[],[f2]) ).

fof(f16,plain,
    ! [X2,X0,X1] : mult(X1,mult(X0,X2)) = mult(mult(X1,X0),X2),
    inference(cnf_transformation,[],[f12]) ).

fof(f17,plain,
    mult(op_a,op_b) != mult(op_b,op_a),
    inference(cnf_transformation,[],[f4]) ).

fof(f18,plain,
    ! [X0] :
      ( c4 = X0
      | c3 = X0
      | c2 = X0
      | c1 = X0 ),
    inference(cnf_transformation,[],[f13]) ).

fof(f19,plain,
    c1 != c2,
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    c1 != c3,
    inference(cnf_transformation,[],[f7]) ).

fof(f21,plain,
    c1 != c4,
    inference(cnf_transformation,[],[f8]) ).

fof(f22,plain,
    c2 != c3,
    inference(cnf_transformation,[],[f9]) ).

fof(f23,plain,
    c2 != c4,
    inference(cnf_transformation,[],[f10]) ).

fof(f24,plain,
    c3 != c4,
    inference(cnf_transformation,[],[f11]) ).

cnf(c_49,plain,
    mult(X0,i(X0)) = e,
    inference(cnf_transformation,[],[f14]) ).

cnf(c_50,plain,
    mult(X0,e) = X0,
    inference(cnf_transformation,[],[f15]) ).

cnf(c_51,plain,
    mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2)),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_52,plain,
    mult(op_a,op_b) != mult(op_b,op_a),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_53,plain,
    ( X0 = c4
    | X0 = c3
    | X0 = c2
    | X0 = c1 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_54,plain,
    c2 != c1,
    inference(cnf_transformation,[],[f19]) ).

cnf(c_55,plain,
    c3 != c1,
    inference(cnf_transformation,[],[f20]) ).

cnf(c_56,plain,
    c4 != c1,
    inference(cnf_transformation,[],[f21]) ).

cnf(c_57,plain,
    c3 != c2,
    inference(cnf_transformation,[],[f22]) ).

cnf(c_58,plain,
    c4 != c2,
    inference(cnf_transformation,[],[f23]) ).

cnf(c_59,plain,
    c4 != c3,
    inference(cnf_transformation,[],[f24]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP759+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Aug 29 01:24:40 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 208.66/28.33  % SZS status Started for theBenchmark.p
% 208.66/28.33  % SZS status Satisfiable for theBenchmark.p
% 208.66/28.33  
% 208.66/28.33  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 208.66/28.33  
% 208.66/28.33  ------  iProver source info
% 208.66/28.33  
% 208.66/28.33  git: date: 2023-05-31 18:12:56 +0000
% 208.66/28.33  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 208.66/28.33  git: non_committed_changes: false
% 208.66/28.33  git: last_make_outside_of_git: false
% 208.66/28.33  
% 208.66/28.33  ------ Parsing...
% 208.66/28.33  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 208.66/28.33  
% 208.66/28.33  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 208.66/28.33  
% 208.66/28.33  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 208.66/28.33  
% 208.66/28.33  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 208.66/28.33  ------ Proving...
% 208.66/28.33  ------ Problem Properties 
% 208.66/28.33  
% 208.66/28.33  
% 208.66/28.33  clauses                                 11
% 208.66/28.33  conjectures                             0
% 208.66/28.33  EPR                                     7
% 208.66/28.33  Horn                                    10
% 208.66/28.33  unary                                   10
% 208.66/28.33  binary                                  0
% 208.66/28.33  lits                                    14
% 208.66/28.33  lits eq                                 14
% 208.66/28.33  fd_pure                                 1
% 208.66/28.33  fd_pseudo                               0
% 208.66/28.33  fd_cond                                 0
% 208.66/28.33  fd_pseudo_cond                          0
% 208.66/28.33  AC symbols                              0
% 208.66/28.33  
% 208.66/28.33  ------ Input Options Time Limit: Unbounded
% 208.66/28.33  
% 208.66/28.33  
% 208.66/28.33  ------ 
% 208.66/28.33  Current options:
% 208.66/28.33  ------ 
% 208.66/28.33  
% 208.66/28.33  
% 208.66/28.33  
% 208.66/28.33  
% 208.66/28.33  ------ Proving...
% 208.66/28.33  
% 208.66/28.33  
% 208.66/28.33  % SZS status Satisfiable for theBenchmark.p
% 208.66/28.33  
% 208.66/28.33  % SZS output start Saturation for theBenchmark.p
% See solution above
% 208.66/28.33  
% 208.66/28.33  
%------------------------------------------------------------------------------