TSTP Solution File: GRP687-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP687-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 : Mon Jun 24 07:01:48 EDT 2024

% Result   : Unsatisfiable 0.49s 1.17s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   32 (  32 unt;   0 nHn;   2 RR)
%            Number of literals    :   32 (  31 equ;   1 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;   4 con; 0-2 aty)
%            Number of variables   :   69 (   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_51,plain,
    mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).

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

cnf(c_56,negated_conjecture,
    mult(mult(a,mult(b,b)),c) != mult(a,mult(b,mult(b,c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(c_143,plain,
    ld(rd(X0,X1),X0) = X1,
    inference(superposition,[status(thm)],[c_51,c_50]) ).

cnf(c_148,plain,
    rd(X0,ld(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_49,c_52]) ).

cnf(c_158,plain,
    mult(mult(X0,X0),mult(ld(X0,X1),X2)) = mult(mult(X0,X1),X2),
    inference(superposition,[status(thm)],[c_49,c_55]) ).

cnf(c_165,plain,
    rd(mult(mult(X0,X0),mult(X1,X2)),X2) = mult(X0,mult(X0,X1)),
    inference(superposition,[status(thm)],[c_55,c_52]) ).

cnf(c_167,plain,
    mult(mult(X0,X0),mult(X1,unit)) = mult(X0,mult(X0,X1)),
    inference(superposition,[status(thm)],[c_55,c_53]) ).

cnf(c_191,plain,
    mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
    inference(demodulation,[status(thm)],[c_167,c_53]) ).

cnf(c_343,plain,
    mult(X0,mult(X0,mult(ld(X0,X1),X2))) = mult(mult(X0,X1),X2),
    inference(demodulation,[status(thm)],[c_158,c_191]) ).

cnf(c_348,plain,
    mult(mult(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,mult(X0,X2)),
    inference(superposition,[status(thm)],[c_49,c_343]) ).

cnf(c_673,plain,
    rd(mult(X0,mult(X0,mult(X1,X2))),X2) = mult(X0,mult(X0,X1)),
    inference(demodulation,[status(thm)],[c_165,c_191]) ).

cnf(c_683,plain,
    mult(X0,mult(X0,rd(X1,X2))) = rd(mult(X0,mult(X0,X1)),X2),
    inference(superposition,[status(thm)],[c_51,c_673]) ).

cnf(c_880,plain,
    mult(X0,ld(ld(X1,ld(X1,X0)),X2)) = mult(X1,mult(X1,X2)),
    inference(superposition,[status(thm)],[c_49,c_348]) ).

cnf(c_882,plain,
    mult(X0,ld(ld(X0,unit),X1)) = mult(X0,mult(X0,X1)),
    inference(superposition,[status(thm)],[c_53,c_348]) ).

cnf(c_995,plain,
    ld(X0,mult(X0,mult(X0,X1))) = ld(ld(X0,unit),X1),
    inference(superposition,[status(thm)],[c_882,c_50]) ).

cnf(c_1076,plain,
    ld(ld(X0,unit),X1) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_995,c_50]) ).

cnf(c_1082,plain,
    mult(rd(unit,X0),X1) = ld(X0,X1),
    inference(superposition,[status(thm)],[c_143,c_1076]) ).

cnf(c_1166,plain,
    ld(X0,unit) = rd(unit,X0),
    inference(superposition,[status(thm)],[c_1082,c_53]) ).

cnf(c_2808,plain,
    mult(X0,mult(X0,rd(unit,X1))) = rd(mult(X0,X0),X1),
    inference(superposition,[status(thm)],[c_53,c_683]) ).

cnf(c_3027,plain,
    mult(X0,mult(X0,ld(X1,unit))) = rd(mult(X0,X0),X1),
    inference(demodulation,[status(thm)],[c_2808,c_1166]) ).

cnf(c_3057,plain,
    ld(X0,rd(mult(X0,X0),X1)) = mult(X0,ld(X1,unit)),
    inference(superposition,[status(thm)],[c_3027,c_50]) ).

cnf(c_3711,plain,
    mult(X0,ld(ld(X1,mult(X0,X0)),unit)) = ld(X0,X1),
    inference(superposition,[status(thm)],[c_148,c_3057]) ).

cnf(c_4096,plain,
    ld(ld(X0,mult(X1,X1)),unit) = ld(X1,ld(X1,X0)),
    inference(superposition,[status(thm)],[c_3711,c_50]) ).

cnf(c_4255,plain,
    ld(ld(X0,ld(X0,X1)),X2) = mult(ld(X1,mult(X0,X0)),X2),
    inference(superposition,[status(thm)],[c_4096,c_1076]) ).

cnf(c_4942,plain,
    mult(X0,mult(ld(X0,mult(X1,X1)),X2)) = mult(X1,mult(X1,X2)),
    inference(demodulation,[status(thm)],[c_880,c_4255]) ).

cnf(c_4992,plain,
    mult(mult(X0,mult(X1,X1)),X2) = mult(X0,mult(X1,mult(X1,X2))),
    inference(superposition,[status(thm)],[c_4942,c_343]) ).

cnf(c_5005,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_56,c_4992]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP687-1 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Jun 20 08:29:54 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.22/0.50  Running UEQ theorem proving
% 0.22/0.50  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.49/1.17  % SZS status Started for theBenchmark.p
% 0.49/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17  
% 0.49/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.17  
% 0.49/1.17  ------  iProver source info
% 0.49/1.17  
% 0.49/1.17  git: date: 2024-06-12 09:56:46 +0000
% 0.49/1.17  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.49/1.17  git: non_committed_changes: false
% 0.49/1.17  
% 0.49/1.17  ------ Parsing...successful
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.49/1.17  
% 0.49/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.49/1.17  
% 0.49/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.49/1.17  ------ Proving...
% 0.49/1.17  ------ Problem Properties 
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  clauses                                 8
% 0.49/1.17  conjectures                             1
% 0.49/1.17  EPR                                     0
% 0.49/1.17  Horn                                    8
% 0.49/1.17  unary                                   8
% 0.49/1.17  binary                                  0
% 0.49/1.17  lits                                    8
% 0.49/1.17  lits eq                                 8
% 0.49/1.17  fd_pure                                 0
% 0.49/1.17  fd_pseudo                               0
% 0.49/1.17  fd_cond                                 0
% 0.49/1.17  fd_pseudo_cond                          0
% 0.49/1.17  AC symbols                              0
% 0.49/1.17  
% 0.49/1.17  ------ Input Options Time Limit: Unbounded
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  ------ 
% 0.49/1.17  Current options:
% 0.49/1.17  ------ 
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  ------ Proving...
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17  
% 0.49/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.17  
% 0.49/1.17  
%------------------------------------------------------------------------------