TSTP Solution File: GRP767-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP767-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 07:02:08 EDT 2024

% Result   : Unsatisfiable 19.77s 3.20s
% Output   : CNFRefutation 19.77s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    product(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos01) ).

cnf(c_50,plain,
    product(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos02) ).

cnf(c_51,plain,
    product(X0,difference(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).

cnf(c_52,plain,
    difference(X0,product(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos04) ).

cnf(c_53,plain,
    quotient(product(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos05) ).

cnf(c_54,plain,
    product(quotient(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos06) ).

cnf(c_55,plain,
    difference(X0,product(product(X0,X1),X2)) = quotient(product(X1,product(X2,X0)),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos07) ).

cnf(c_56,plain,
    difference(product(X0,X1),product(X0,product(X1,X2))) = quotient(quotient(product(X2,product(X0,X1)),X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos08) ).

cnf(c_57,plain,
    difference(X0,one) = i(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos09) ).

cnf(c_58,plain,
    quotient(one,X0) = j(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos10) ).

cnf(c_59,plain,
    product(i(X0),X0) = product(X0,j(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos11) ).

cnf(c_60,plain,
    product(i(X0),X0) = eta(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos12) ).

cnf(c_61,plain,
    product(eta(X0),product(X0,X1)) = product(i(i(X0)),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos13) ).

cnf(c_64,plain,
    product(product(eta(X0),X1),X2) = product(eta(X0),product(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos16) ).

cnf(c_69,negated_conjecture,
    product(j(j(x0)),j(product(x1,x0))) != j(x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(c_140,plain,
    j(x0) = sP0_iProver_def,
    definition ).

cnf(c_141,plain,
    j(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_142,plain,
    product(x1,x0) = sP2_iProver_def,
    definition ).

cnf(c_143,plain,
    j(sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_144,plain,
    product(sP1_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_145,plain,
    j(x1) = sP5_iProver_def,
    definition ).

cnf(c_146,negated_conjecture,
    sP4_iProver_def != sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_69,c_145,c_142,c_143,c_140,c_141,c_144]) ).

cnf(c_1310,plain,
    quotient(product(difference(X0,X1),product(X2,X0)),X0) = difference(X0,product(X1,X2)),
    inference(superposition,[status(thm)],[c_51,c_55]) ).

cnf(c_1399,plain,
    quotient(quotient(product(difference(X0,X1),product(X2,X0)),X0),X2) = difference(product(X2,X0),product(X2,X1)),
    inference(superposition,[status(thm)],[c_51,c_56]) ).

cnf(c_1437,plain,
    difference(product(X0,X1),product(X0,X2)) = quotient(difference(X1,product(X2,X0)),X0),
    inference(demodulation,[status(thm)],[c_1399,c_1310]) ).

cnf(c_2117,plain,
    quotient(X0,X0) = one,
    inference(superposition,[status(thm)],[c_50,c_53]) ).

cnf(c_2119,plain,
    quotient(sP2_iProver_def,x0) = x1,
    inference(superposition,[status(thm)],[c_142,c_53]) ).

cnf(c_2131,plain,
    product(j(X0),X0) = one,
    inference(superposition,[status(thm)],[c_58,c_54]) ).

cnf(c_2139,plain,
    product(sP0_iProver_def,x0) = one,
    inference(superposition,[status(thm)],[c_140,c_2131]) ).

cnf(c_2140,plain,
    product(sP5_iProver_def,x1) = one,
    inference(superposition,[status(thm)],[c_145,c_2131]) ).

cnf(c_2142,plain,
    product(sP1_iProver_def,sP0_iProver_def) = one,
    inference(superposition,[status(thm)],[c_141,c_2131]) ).

cnf(c_2143,plain,
    product(sP3_iProver_def,sP2_iProver_def) = one,
    inference(superposition,[status(thm)],[c_143,c_2131]) ).

cnf(c_2147,plain,
    difference(j(X0),one) = X0,
    inference(superposition,[status(thm)],[c_2131,c_52]) ).

cnf(c_2148,plain,
    i(j(X0)) = X0,
    inference(demodulation,[status(thm)],[c_2147,c_57]) ).

cnf(c_2150,plain,
    difference(sP0_iProver_def,one) = x0,
    inference(superposition,[status(thm)],[c_2139,c_52]) ).

cnf(c_2151,plain,
    i(sP0_iProver_def) = x0,
    inference(demodulation,[status(thm)],[c_2150,c_57]) ).

cnf(c_2160,plain,
    difference(sP1_iProver_def,one) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_2142,c_52]) ).

cnf(c_2161,plain,
    i(sP1_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_2160,c_57]) ).

cnf(c_2165,plain,
    difference(sP3_iProver_def,one) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_2143,c_52]) ).

cnf(c_2166,plain,
    i(sP3_iProver_def) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_2165,c_57]) ).

cnf(c_2177,plain,
    product(X0,j(X0)) = eta(j(X0)),
    inference(superposition,[status(thm)],[c_2148,c_60]) ).

cnf(c_2178,plain,
    product(x0,sP0_iProver_def) = eta(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_2151,c_60]) ).

cnf(c_2255,plain,
    product(i(X0),X0) = eta(j(X0)),
    inference(light_normalisation,[status(thm)],[c_59,c_2177]) ).

cnf(c_2267,plain,
    eta(j(X0)) = eta(X0),
    inference(superposition,[status(thm)],[c_2255,c_60]) ).

cnf(c_2283,plain,
    eta(sP0_iProver_def) = eta(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_141,c_2267]) ).

cnf(c_2627,plain,
    product(X0,quotient(product(X1,product(X2,X0)),X0)) = product(product(X0,X1),X2),
    inference(superposition,[status(thm)],[c_55,c_51]) ).

cnf(c_2693,plain,
    product(eta(sP0_iProver_def),product(sP1_iProver_def,X0)) = product(i(i(sP1_iProver_def)),X0),
    inference(superposition,[status(thm)],[c_2283,c_61]) ).

cnf(c_2706,plain,
    product(i(i(sP1_iProver_def)),sP3_iProver_def) = product(eta(sP1_iProver_def),sP4_iProver_def),
    inference(superposition,[status(thm)],[c_144,c_61]) ).

cnf(c_2727,plain,
    product(eta(sP0_iProver_def),sP4_iProver_def) = product(x0,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_2706,c_2151,c_2161,c_2283]) ).

cnf(c_2734,plain,
    product(eta(sP0_iProver_def),product(sP1_iProver_def,X0)) = product(x0,X0),
    inference(demodulation,[status(thm)],[c_2693,c_2151,c_2161]) ).

cnf(c_2801,plain,
    quotient(difference(X0,product(one,X1)),X1) = difference(product(X1,X0),X1),
    inference(superposition,[status(thm)],[c_49,c_1437]) ).

cnf(c_2817,plain,
    quotient(difference(X0,product(sP0_iProver_def,x0)),x0) = difference(product(x0,X0),eta(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_2178,c_1437]) ).

cnf(c_2830,plain,
    difference(product(X0,X1),X0) = quotient(difference(X1,X0),X0),
    inference(demodulation,[status(thm)],[c_2801,c_50]) ).

cnf(c_2838,plain,
    difference(product(x0,X0),eta(sP0_iProver_def)) = quotient(i(X0),x0),
    inference(demodulation,[status(thm)],[c_2817,c_57,c_2139]) ).

cnf(c_3215,plain,
    quotient(difference(sP4_iProver_def,eta(sP0_iProver_def)),eta(sP0_iProver_def)) = difference(product(x0,sP3_iProver_def),eta(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_2727,c_2830]) ).

cnf(c_3226,plain,
    quotient(difference(sP4_iProver_def,eta(sP0_iProver_def)),eta(sP0_iProver_def)) = x1,
    inference(demodulation,[status(thm)],[c_3215,c_2119,c_2166,c_2838]) ).

cnf(c_4870,plain,
    product(eta(sP0_iProver_def),product(sP4_iProver_def,X0)) = product(product(x0,sP3_iProver_def),X0),
    inference(superposition,[status(thm)],[c_2727,c_64]) ).

cnf(c_4898,plain,
    quotient(product(eta(X0),product(X1,X2)),X2) = product(eta(X0),X1),
    inference(superposition,[status(thm)],[c_64,c_53]) ).

cnf(c_8373,plain,
    product(x1,eta(sP0_iProver_def)) = difference(sP4_iProver_def,eta(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_3226,c_54]) ).

cnf(c_11769,plain,
    product(sP4_iProver_def,product(x1,eta(sP0_iProver_def))) = eta(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_8373,c_51]) ).

cnf(c_16793,plain,
    difference(eta(sP0_iProver_def),product(x0,X0)) = product(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_2734,c_52]) ).

cnf(c_17445,plain,
    product(eta(sP0_iProver_def),quotient(eta(sP0_iProver_def),eta(sP0_iProver_def))) = product(product(eta(sP0_iProver_def),sP4_iProver_def),x1),
    inference(superposition,[status(thm)],[c_11769,c_2627]) ).

cnf(c_17596,plain,
    product(product(x0,sP3_iProver_def),x1) = eta(sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_17445,c_49,c_64,c_2117,c_4870]) ).

cnf(c_20307,plain,
    quotient(eta(sP0_iProver_def),x1) = product(x0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_17596,c_53]) ).

cnf(c_27330,plain,
    quotient(product(eta(X0),one),x1) = product(eta(X0),sP5_iProver_def),
    inference(superposition,[status(thm)],[c_2140,c_4898]) ).

cnf(c_27455,plain,
    product(eta(X0),sP5_iProver_def) = quotient(eta(X0),x1),
    inference(demodulation,[status(thm)],[c_27330,c_49]) ).

cnf(c_27590,plain,
    product(eta(sP0_iProver_def),sP5_iProver_def) = product(x0,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_20307,c_27455]) ).

cnf(c_28466,plain,
    difference(eta(sP0_iProver_def),product(x0,sP3_iProver_def)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_27590,c_52]) ).

cnf(c_28479,plain,
    sP4_iProver_def = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_28466,c_144,c_16793]) ).

cnf(c_28480,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_28479,c_146]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GRP767-1 : TPTP v8.2.0. Released v4.1.0.
% 0.08/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n019.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 : Thu Jun 20 10:00:09 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running UEQ theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 19.77/3.20  % SZS status Started for theBenchmark.p
% 19.77/3.20  % SZS status Unsatisfiable for theBenchmark.p
% 19.77/3.20  
% 19.77/3.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 19.77/3.20  
% 19.77/3.20  ------  iProver source info
% 19.77/3.20  
% 19.77/3.20  git: date: 2024-06-12 09:56:46 +0000
% 19.77/3.20  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 19.77/3.20  git: non_committed_changes: false
% 19.77/3.20  
% 19.77/3.20  ------ Parsing...successful
% 19.77/3.20  
% 19.77/3.20  
% 19.77/3.20  
% 19.77/3.20  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 19.77/3.20  
% 19.77/3.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 19.77/3.20  
% 19.77/3.20  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 19.77/3.20  ------ Proving...
% 19.77/3.20  ------ Problem Properties 
% 19.77/3.20  
% 19.77/3.20  
% 19.77/3.20  clauses                                 27
% 19.77/3.20  conjectures                             1
% 19.77/3.20  EPR                                     1
% 19.77/3.20  Horn                                    27
% 19.77/3.20  unary                                   27
% 19.77/3.20  binary                                  0
% 19.77/3.20  lits                                    27
% 19.77/3.20  lits eq                                 27
% 19.77/3.20  fd_pure                                 0
% 19.77/3.20  fd_pseudo                               0
% 19.77/3.20  fd_cond                                 0
% 19.77/3.20  fd_pseudo_cond                          0
% 19.77/3.20  AC symbols                              0
% 19.77/3.20  
% 19.77/3.20  ------ Input Options Time Limit: Unbounded
% 19.77/3.20  
% 19.77/3.20  
% 19.77/3.20  ------ 
% 19.77/3.20  Current options:
% 19.77/3.20  ------ 
% 19.77/3.20  
% 19.77/3.20  
% 19.77/3.20  
% 19.77/3.20  
% 19.77/3.20  ------ Proving...
% 19.77/3.20  
% 19.77/3.20  
% 19.77/3.20  % SZS status Unsatisfiable for theBenchmark.p
% 19.77/3.20  
% 19.77/3.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.77/3.20  
% 19.77/3.21  
%------------------------------------------------------------------------------