TSTP Solution File: GRP697-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP697-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 02:23:28 EDT 2024

% Result   : Unsatisfiable 11.36s 2.23s
% Output   : CNFRefutation 11.36s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).

cnf(c_50,plain,
    ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).

cnf(c_51,plain,
    mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).

cnf(c_52,plain,
    rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).

cnf(c_53,plain,
    mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

cnf(c_55,plain,
    mult(X0,i(mult(X1,X0))) = i(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

cnf(c_56,plain,
    mult(rd(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).

cnf(c_57,plain,
    mult(mult(X0,X1),ld(X1,mult(X2,X1))) = mult(mult(X0,X2),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).

cnf(c_58,plain,
    mult(i(X0),X0) = unit,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).

cnf(c_59,plain,
    mult(X0,i(X0)) = unit,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).

cnf(c_60,negated_conjecture,
    mult(mult(a,mult(b,mult(b,c))),b) != mult(mult(a,b),mult(b,mult(c,b))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(c_102,plain,
    mult(b,c) = sP0_iProver_def,
    definition ).

cnf(c_103,plain,
    mult(b,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_104,plain,
    mult(a,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_105,plain,
    mult(sP2_iProver_def,b) = sP3_iProver_def,
    definition ).

cnf(c_106,plain,
    mult(a,b) = sP4_iProver_def,
    definition ).

cnf(c_107,plain,
    mult(c,b) = sP5_iProver_def,
    definition ).

cnf(c_108,plain,
    mult(b,sP5_iProver_def) = sP6_iProver_def,
    definition ).

cnf(c_109,plain,
    mult(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def,
    definition ).

cnf(c_110,negated_conjecture,
    sP3_iProver_def != sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_60,c_107,c_108,c_106,c_109,c_102,c_103,c_104,c_105]) ).

cnf(c_201,plain,
    ld(i(X0),unit) = X0,
    inference(superposition,[status(thm)],[c_58,c_50]) ).

cnf(c_202,plain,
    ld(X0,unit) = i(X0),
    inference(superposition,[status(thm)],[c_59,c_50]) ).

cnf(c_223,plain,
    i(i(X0)) = X0,
    inference(demodulation,[status(thm)],[c_201,c_202]) ).

cnf(c_257,plain,
    mult(b,i(sP5_iProver_def)) = i(c),
    inference(superposition,[status(thm)],[c_107,c_55]) ).

cnf(c_265,plain,
    ld(X0,i(X1)) = i(mult(X1,X0)),
    inference(superposition,[status(thm)],[c_55,c_50]) ).

cnf(c_267,plain,
    mult(i(mult(X0,X1)),i(i(X0))) = i(X1),
    inference(superposition,[status(thm)],[c_55,c_55]) ).

cnf(c_273,plain,
    mult(i(mult(X0,X1)),X0) = i(X1),
    inference(light_normalisation,[status(thm)],[c_267,c_223]) ).

cnf(c_331,plain,
    mult(rd(mult(X0,X1),X0),X2) = mult(X0,mult(X1,ld(X0,X2))),
    inference(superposition,[status(thm)],[c_49,c_56]) ).

cnf(c_349,plain,
    ld(rd(mult(X0,X1),X0),mult(X0,mult(X1,X2))) = mult(X0,X2),
    inference(superposition,[status(thm)],[c_56,c_50]) ).

cnf(c_472,plain,
    mult(sP4_iProver_def,ld(b,mult(X0,b))) = mult(mult(a,X0),b),
    inference(superposition,[status(thm)],[c_106,c_57]) ).

cnf(c_833,plain,
    i(mult(i(X0),X1)) = ld(X1,X0),
    inference(superposition,[status(thm)],[c_223,c_265]) ).

cnf(c_861,plain,
    mult(i(sP0_iProver_def),b) = i(c),
    inference(superposition,[status(thm)],[c_102,c_273]) ).

cnf(c_865,plain,
    mult(i(sP6_iProver_def),b) = i(sP5_iProver_def),
    inference(superposition,[status(thm)],[c_108,c_273]) ).

cnf(c_1204,plain,
    rd(i(c),b) = i(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_861,c_52]) ).

cnf(c_1327,plain,
    mult(b,i(i(sP5_iProver_def))) = i(i(sP6_iProver_def)),
    inference(superposition,[status(thm)],[c_865,c_55]) ).

cnf(c_1899,plain,
    ld(ld(i(X0),X1),X0) = i(X1),
    inference(superposition,[status(thm)],[c_49,c_833]) ).

cnf(c_2843,plain,
    mult(X0,mult(X1,ld(X0,unit))) = rd(mult(X0,X1),X0),
    inference(superposition,[status(thm)],[c_331,c_53]) ).

cnf(c_2856,plain,
    mult(X0,mult(X1,i(X0))) = rd(mult(X0,X1),X0),
    inference(light_normalisation,[status(thm)],[c_2843,c_202]) ).

cnf(c_7351,plain,
    ld(rd(mult(X0,X1),X0),mult(X0,unit)) = mult(X0,i(X1)),
    inference(superposition,[status(thm)],[c_59,c_349]) ).

cnf(c_7441,plain,
    ld(rd(mult(X0,X1),X0),X0) = mult(X0,i(X1)),
    inference(light_normalisation,[status(thm)],[c_7351,c_53]) ).

cnf(c_13771,plain,
    ld(rd(i(c),b),b) = mult(b,i(i(sP5_iProver_def))),
    inference(superposition,[status(thm)],[c_257,c_7441]) ).

cnf(c_13884,plain,
    ld(i(sP0_iProver_def),b) = i(i(sP6_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_13771,c_1204,c_1327]) ).

cnf(c_14512,plain,
    ld(i(sP0_iProver_def),b) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_13884,c_223]) ).

cnf(c_14520,plain,
    ld(sP6_iProver_def,sP0_iProver_def) = i(b),
    inference(superposition,[status(thm)],[c_14512,c_1899]) ).

cnf(c_14687,plain,
    mult(sP6_iProver_def,i(b)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_14520,c_49]) ).

cnf(c_14710,plain,
    rd(mult(b,sP6_iProver_def),b) = mult(b,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_14687,c_2856]) ).

cnf(c_14715,plain,
    rd(mult(b,sP6_iProver_def),b) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_14710,c_103]) ).

cnf(c_14932,plain,
    mult(b,sP6_iProver_def) = mult(sP1_iProver_def,b),
    inference(superposition,[status(thm)],[c_14715,c_51]) ).

cnf(c_15025,plain,
    ld(b,mult(sP1_iProver_def,b)) = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_14932,c_50]) ).

cnf(c_15239,plain,
    mult(mult(a,sP1_iProver_def),b) = mult(sP4_iProver_def,sP6_iProver_def),
    inference(superposition,[status(thm)],[c_15025,c_472]) ).

cnf(c_15272,plain,
    sP3_iProver_def = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_15239,c_104,c_105,c_109]) ).

cnf(c_15273,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_15272,c_110]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GRP697-1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 23:51:13 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running UEQ theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.36/2.23  % SZS status Started for theBenchmark.p
% 11.36/2.23  % SZS status Unsatisfiable for theBenchmark.p
% 11.36/2.23  
% 11.36/2.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.36/2.23  
% 11.36/2.23  ------  iProver source info
% 11.36/2.23  
% 11.36/2.23  git: date: 2024-05-02 19:28:25 +0000
% 11.36/2.23  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 11.36/2.23  git: non_committed_changes: false
% 11.36/2.23  
% 11.36/2.23  ------ Parsing...successful
% 11.36/2.23  
% 11.36/2.23  
% 11.36/2.23  
% 11.36/2.23  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 11.36/2.23  
% 11.36/2.23  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 11.36/2.23  
% 11.36/2.23  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 11.36/2.23  ------ Proving...
% 11.36/2.23  ------ Problem Properties 
% 11.36/2.23  
% 11.36/2.23  
% 11.36/2.23  clauses                                 20
% 11.36/2.23  conjectures                             1
% 11.36/2.23  EPR                                     1
% 11.36/2.23  Horn                                    20
% 11.36/2.23  unary                                   20
% 11.36/2.23  binary                                  0
% 11.36/2.23  lits                                    20
% 11.36/2.23  lits eq                                 20
% 11.36/2.23  fd_pure                                 0
% 11.36/2.23  fd_pseudo                               0
% 11.36/2.23  fd_cond                                 0
% 11.36/2.23  fd_pseudo_cond                          0
% 11.36/2.23  AC symbols                              0
% 11.36/2.23  
% 11.36/2.23  ------ Input Options Time Limit: Unbounded
% 11.36/2.23  
% 11.36/2.23  
% 11.36/2.23  ------ 
% 11.36/2.23  Current options:
% 11.36/2.23  ------ 
% 11.36/2.23  
% 11.36/2.23  
% 11.36/2.23  
% 11.36/2.23  
% 11.36/2.23  ------ Proving...
% 11.36/2.23  
% 11.36/2.23  
% 11.36/2.23  % SZS status Unsatisfiable for theBenchmark.p
% 11.36/2.23  
% 11.36/2.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.36/2.23  
% 11.36/2.23  
%------------------------------------------------------------------------------