TSTP Solution File: GRP680-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP680-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 01:01:21 EDT 2023

% Result   : Unsatisfiable 4.10s 1.16s
% Output   : CNFRefutation 4.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   32 (  32 unt;   0 nHn;   5 RR)
%            Number of literals    :   32 (  31 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).

cnf(c_50,plain,
    ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).

cnf(c_52,plain,
    rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).

cnf(c_53,plain,
    mult(X0,unit) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).

cnf(c_55,plain,
    mult(mult(X0,mult(X1,X0)),X2) = mult(X0,mult(X1,mult(X0,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).

cnf(c_56,plain,
    mult(i(X0),mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).

cnf(c_57,plain,
    mult(X0,op_c) = mult(op_c,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).

cnf(c_58,negated_conjecture,
    mult(i(op_c),a) != mult(a,i(op_c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(c_183,plain,
    ld(i(X0),X1) = mult(X0,X1),
    inference(superposition,[status(thm)],[c_56,c_50]) ).

cnf(c_345,plain,
    ld(X0,X0) = unit,
    inference(superposition,[status(thm)],[c_53,c_50]) ).

cnf(c_366,plain,
    mult(i(X0),X1) = ld(X0,X1),
    inference(superposition,[status(thm)],[c_49,c_56]) ).

cnf(c_368,plain,
    mult(i(X0),X0) = unit,
    inference(superposition,[status(thm)],[c_53,c_56]) ).

cnf(c_373,plain,
    rd(X0,mult(X1,X0)) = i(X1),
    inference(superposition,[status(thm)],[c_56,c_52]) ).

cnf(c_385,plain,
    mult(X0,mult(X1,mult(X0,op_c))) = mult(op_c,mult(X0,mult(X1,X0))),
    inference(superposition,[status(thm)],[c_57,c_55]) ).

cnf(c_399,plain,
    ld(i(X0),ld(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_183,c_49]) ).

cnf(c_401,plain,
    rd(ld(i(X0),X1),X1) = X0,
    inference(superposition,[status(thm)],[c_183,c_52]) ).

cnf(c_404,plain,
    ld(i(X0),unit) = X0,
    inference(superposition,[status(thm)],[c_183,c_53]) ).

cnf(c_412,plain,
    ld(i(i(op_c)),a) != mult(a,i(op_c)),
    inference(superposition,[status(thm)],[c_183,c_58]) ).

cnf(c_414,plain,
    ld(i(i(X0)),X0) = unit,
    inference(demodulation,[status(thm)],[c_368,c_183]) ).

cnf(c_427,plain,
    rd(X0,ld(i(X1),X0)) = i(X1),
    inference(demodulation,[status(thm)],[c_373,c_183]) ).

cnf(c_429,plain,
    ld(i(i(X0)),X1) = ld(X0,X1),
    inference(demodulation,[status(thm)],[c_366,c_183]) ).

cnf(c_435,plain,
    mult(a,i(op_c)) != ld(op_c,a),
    inference(demodulation,[status(thm)],[c_412,c_429]) ).

cnf(c_436,plain,
    ld(i(a),i(op_c)) != ld(op_c,a),
    inference(demodulation,[status(thm)],[c_435,c_183]) ).

cnf(c_439,plain,
    ld(i(X0),ld(i(X1),ld(i(X0),op_c))) = ld(i(op_c),ld(i(X0),ld(i(X1),X0))),
    inference(demodulation,[status(thm)],[c_385,c_183]) ).

cnf(c_527,plain,
    rd(unit,i(X0)) = X0,
    inference(superposition,[status(thm)],[c_345,c_401]) ).

cnf(c_678,plain,
    rd(unit,X0) = i(X0),
    inference(superposition,[status(thm)],[c_404,c_427]) ).

cnf(c_746,plain,
    ld(X0,unit) = i(X0),
    inference(superposition,[status(thm)],[c_429,c_404]) ).

cnf(c_935,plain,
    ld(i(op_c),ld(i(i(op_c)),ld(i(X0),i(op_c)))) = ld(i(i(op_c)),ld(i(X0),unit)),
    inference(superposition,[status(thm)],[c_414,c_439]) ).

cnf(c_1113,plain,
    i(i(X0)) = X0,
    inference(demodulation,[status(thm)],[c_527,c_678]) ).

cnf(c_1298,plain,
    ld(i(op_c),ld(op_c,ld(i(X0),i(op_c)))) = ld(op_c,X0),
    inference(demodulation,[status(thm)],[c_935,c_746,c_1113]) ).

cnf(c_1299,plain,
    ld(i(X0),i(op_c)) = ld(op_c,X0),
    inference(demodulation,[status(thm)],[c_1298,c_399]) ).

cnf(c_1402,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_436,c_1299]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP680-1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Aug 29 01:04:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running UEQ theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.10/1.16  % SZS status Started for theBenchmark.p
% 4.10/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.16  
% 4.10/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.10/1.16  
% 4.10/1.16  ------  iProver source info
% 4.10/1.16  
% 4.10/1.16  git: date: 2023-05-31 18:12:56 +0000
% 4.10/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.10/1.16  git: non_committed_changes: false
% 4.10/1.16  git: last_make_outside_of_git: false
% 4.10/1.16  
% 4.10/1.16  ------ Parsing...successful
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.10/1.16  
% 4.10/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.10/1.16  
% 4.10/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.10/1.16  ------ Proving...
% 4.10/1.16  ------ Problem Properties 
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  clauses                                 10
% 4.10/1.16  conjectures                             1
% 4.10/1.16  EPR                                     0
% 4.10/1.16  Horn                                    10
% 4.10/1.16  unary                                   10
% 4.10/1.16  binary                                  0
% 4.10/1.16  lits                                    10
% 4.10/1.16  lits eq                                 10
% 4.10/1.16  fd_pure                                 0
% 4.10/1.16  fd_pseudo                               0
% 4.10/1.16  fd_cond                                 0
% 4.10/1.16  fd_pseudo_cond                          0
% 4.10/1.16  AC symbols                              0
% 4.10/1.16  
% 4.10/1.16  ------ Input Options Time Limit: Unbounded
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  ------ 
% 4.10/1.16  Current options:
% 4.10/1.16  ------ 
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  ------ Proving...
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.16  
% 4.10/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.10/1.16  
% 4.10/1.16  
%------------------------------------------------------------------------------