TSTP Solution File: GRP772-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP772-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 02:23:39 EDT 2024

% Result   : Timeout 295.71s 38.14s
% Output   : None 
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_52,plain,
    difference(X0,product(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos04) ).

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

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

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

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

cnf(c_67,plain,
    quotient(product(X0,X1),X0) = t(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos19) ).

cnf(c_72,plain,
    product(product(X0,X1),c(X1,X0)) = product(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos24) ).

cnf(c_74,plain,
    product(product(X0,X1),c(X2,X3)) = product(X0,product(X1,c(X2,X3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos26) ).

cnf(c_77,plain,
    product(a(X0,X1,X2),difference(X2,product(a(X2,X0,X1),X2))) = one,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos29) ).

cnf(c_79,plain,
    a(i(X0),X1,X2) = a(j(X0),X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos31) ).

cnf(c_80,plain,
    a(j(X0),X1,X2) = a(X1,X2,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos32) ).

cnf(c_81,negated_conjecture,
    a(x0,x1,x1) != a(x1,x1,x0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(c_180,plain,
    a(i(X0),X1,X2) = a(X1,X2,X0),
    inference(light_normalisation,[status(thm)],[c_79,c_80]) ).

cnf(c_181,plain,
    product(X0,product(X1,c(X1,X0))) = product(X1,X0),
    inference(demodulation,[status(thm)],[c_72,c_74]) ).

cnf(c_197,plain,
    a(x0,x1,x1) = sP0_iProver_def,
    definition ).

cnf(c_198,plain,
    a(x1,x1,x0) = sP1_iProver_def,
    definition ).

cnf(c_199,negated_conjecture,
    sP0_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_81,c_198,c_197]) ).

cnf(c_346,plain,
    product(j(X0),X0) = one,
    inference(superposition,[status(thm)],[c_58,c_54]) ).

cnf(c_388,plain,
    difference(j(X0),one) = X0,
    inference(superposition,[status(thm)],[c_346,c_52]) ).

cnf(c_393,plain,
    i(j(X0)) = X0,
    inference(demodulation,[status(thm)],[c_388,c_57]) ).

cnf(c_397,plain,
    a(X0,X1,j(X2)) = a(X2,X0,X1),
    inference(superposition,[status(thm)],[c_393,c_180]) ).

cnf(c_727,plain,
    t(X0,product(X1,c(X1,X0))) = quotient(product(X1,X0),X0),
    inference(superposition,[status(thm)],[c_181,c_67]) ).

cnf(c_729,plain,
    product(X0,c(X0,X1)) = difference(X1,product(X0,X1)),
    inference(superposition,[status(thm)],[c_181,c_52]) ).

cnf(c_814,plain,
    a(X0,j(X1),X2) = a(X1,j(X2),X0),
    inference(superposition,[status(thm)],[c_397,c_80]) ).

cnf(c_1733,plain,
    product(a(X0,j(X1),X2),difference(X2,product(a(X1,X2,X0),X2))) = one,
    inference(superposition,[status(thm)],[c_397,c_77]) ).

cnf(c_1740,plain,
    difference(X0,product(a(X0,X1,X2),X0)) = difference(a(X1,X2,X0),one),
    inference(superposition,[status(thm)],[c_77,c_52]) ).

cnf(c_73406,plain,
    product(a(x1,j(x0),x1),difference(x1,product(sP0_iProver_def,x1))) = one,
    inference(superposition,[status(thm)],[c_197,c_1733]) ).

cnf(c_73407,plain,
    product(a(x0,j(x1),x1),difference(x1,product(sP1_iProver_def,x1))) = one,
    inference(superposition,[status(thm)],[c_198,c_1733]) ).

cnf(c_82912,plain,
    difference(X0,product(a(X0,X1,X2),X0)) = i(a(X1,X2,X0)),
    inference(demodulation,[status(thm)],[c_1740,c_57]) ).

cnf(c_82926,plain,
    difference(x1,product(sP1_iProver_def,x1)) = i(a(x1,x0,x1)),
    inference(superposition,[status(thm)],[c_198,c_82912]) ).

cnf(c_160309,plain,
    product(sP1_iProver_def,c(sP1_iProver_def,x1)) = i(a(x1,x0,x1)),
    inference(demodulation,[status(thm)],[c_82926,c_729]) ).

cnf(c_379823,plain,
    t(X0,product(X1,c(X1,X0))) = X1,
    inference(demodulation,[status(thm)],[c_727,c_53]) ).

cnf(c_589587,plain,
    product(a(x1,j(x1),x0),product(sP0_iProver_def,c(sP0_iProver_def,x1))) = one,
    inference(demodulation,[status(thm)],[c_73406,c_729,c_814]) ).

cnf(c_589620,plain,
    difference(a(x1,j(x1),x0),one) = product(sP0_iProver_def,c(sP0_iProver_def,x1)),
    inference(superposition,[status(thm)],[c_589587,c_52]) ).

cnf(c_589725,plain,
    product(a(x0,j(x1),x1),product(sP1_iProver_def,c(sP1_iProver_def,x1))) = one,
    inference(light_normalisation,[status(thm)],[c_73407,c_82926,c_160309]) ).

cnf(c_589726,plain,
    product(a(x1,j(x1),x0),product(sP1_iProver_def,c(sP1_iProver_def,x1))) = one,
    inference(demodulation,[status(thm)],[c_589725,c_814]) ).

cnf(c_589759,plain,
    difference(a(x1,j(x1),x0),one) = product(sP1_iProver_def,c(sP1_iProver_def,x1)),
    inference(superposition,[status(thm)],[c_589726,c_52]) ).

cnf(c_589782,plain,
    product(sP0_iProver_def,c(sP0_iProver_def,x1)) = product(sP1_iProver_def,c(sP1_iProver_def,x1)),
    inference(light_normalisation,[status(thm)],[c_589759,c_589620]) ).

cnf(c_589997,plain,
    t(x1,product(sP0_iProver_def,c(sP0_iProver_def,x1))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_589782,c_379823]) ).

cnf(c_590119,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_589997,c_379823]) ).

cnf(c_590120,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_590119,c_199]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GRP772-1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri May  3 00:05:38 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.42  Running UEQ theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 295.71/38.14  % SZS status Started for theBenchmark.p
% 295.71/38.14  % SZS status Unsatisfiable for theBenchmark.p
% 295.71/38.14  
% 295.71/38.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 295.71/38.14  
% 295.71/38.14  ------  iProver source info
% 295.71/38.14  
% 295.71/38.14  git: date: 2024-05-02 19:28:25 +0000
% 295.71/38.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 295.71/38.14  git: non_committed_changes: false
% 295.71/38.14  
% 295.71/38.14  ------ Parsing...successful
% 295.71/38.14  
% 295.71/38.14  
% 295.71/38.14  
% 295.71/38.14  ------ Preprocessing... sup_sim: 5  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 295.71/38.14  
% 295.71/38.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 295.71/38.14  
% 295.71/38.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 295.71/38.14  ------ Proving...
% 295.71/38.14  ------ Problem Properties 
% 295.71/38.14  
% 295.71/38.14  
% 295.71/38.14  clauses                                 35
% 295.71/38.14  conjectures                             1
% 295.71/38.14  EPR                                     1
% 295.71/38.14  Horn                                    35
% 295.71/38.14  unary                                   35
% 295.71/38.14  binary                                  0
% 295.71/38.14  lits                                    35
% 295.71/38.14  lits eq                                 35
% 295.71/38.14  fd_pure                                 0
% 295.71/38.14  fd_pseudo                               0
% 295.71/38.14  fd_cond                                 0
% 295.71/38.14  fd_pseudo_cond                          0
% 295.71/38.14  AC symbols                              0
% 295.71/38.14  
% 295.71/38.14  ------ Input Options Time Limit: Unbounded
% 295.71/38.14  
% 295.71/38.14  
% 295.71/38.14  ------ 
% 295.71/38.14  Current options:
% 295.71/38.14  ------ 
% 295.71/38.14  
% 295.71/38.14  
% 295.71/38.14  
% 295.71/38.14  
% 295.71/38.14  ------ Proving...
% 295.71/38.14  
% 295.71/38.14  
% 295.71/38.14  % SZS status Unsatisfiable for theBenchmark.p
% 295.71/38.14  
% 295.71/38.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 295.71/38.14  
% 295.71/38.14  
%------------------------------------------------------------------------------