TSTP Solution File: GRP556-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP556-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 02:22:55 EDT 2024

% Result   : Unsatisfiable 1.53s 1.12s
% Output   : CNFRefutation 1.53s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,plain,
    divide(X0,inverse(X1)) = multiply(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

cnf(c_60,plain,
    divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
    inference(demodulation,[status(thm)],[c_49,c_50]) ).

cnf(c_66,plain,
    multiply(a,b) = sP0_iProver_def,
    definition ).

cnf(c_67,plain,
    multiply(b,a) = sP1_iProver_def,
    definition ).

cnf(c_68,negated_conjecture,
    sP0_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_51,c_67,c_66]) ).

cnf(c_108,plain,
    divide(multiply(X0,divide(X1,multiply(X0,X2))),inverse(X2)) = X1,
    inference(superposition,[status(thm)],[c_50,c_60]) ).

cnf(c_109,plain,
    divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2) = X3,
    inference(superposition,[status(thm)],[c_60,c_60]) ).

cnf(c_111,plain,
    multiply(X0,divide(X1,divide(X0,divide(X2,X3)))) = divide(multiply(X2,X1),X3),
    inference(superposition,[status(thm)],[c_60,c_60]) ).

cnf(c_117,plain,
    multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2) = X1,
    inference(demodulation,[status(thm)],[c_108,c_50]) ).

cnf(c_119,plain,
    multiply(multiply(a,divide(X0,sP0_iProver_def)),b) = X0,
    inference(superposition,[status(thm)],[c_66,c_117]) ).

cnf(c_120,plain,
    multiply(multiply(b,divide(X0,sP1_iProver_def)),a) = X0,
    inference(superposition,[status(thm)],[c_67,c_117]) ).

cnf(c_127,plain,
    multiply(X0,divide(X1,divide(X0,sP0_iProver_def))) = multiply(multiply(a,X1),b),
    inference(superposition,[status(thm)],[c_60,c_119]) ).

cnf(c_128,plain,
    multiply(multiply(multiply(a,divide(X0,sP0_iProver_def)),divide(X1,X0)),b) = X1,
    inference(superposition,[status(thm)],[c_119,c_117]) ).

cnf(c_131,plain,
    multiply(X0,divide(X1,divide(X0,sP1_iProver_def))) = multiply(multiply(b,X1),a),
    inference(superposition,[status(thm)],[c_60,c_120]) ).

cnf(c_199,plain,
    divide(multiply(multiply(a,X0),b),sP0_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_127,c_60]) ).

cnf(c_277,plain,
    multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)) = multiply(multiply(multiply(a,divide(X2,sP0_iProver_def)),X3),b),
    inference(superposition,[status(thm)],[c_109,c_128]) ).

cnf(c_282,plain,
    divide(multiply(multiply(multiply(a,divide(X0,sP0_iProver_def)),X1),b),X0) = X1,
    inference(demodulation,[status(thm)],[c_109,c_277]) ).

cnf(c_293,plain,
    divide(multiply(multiply(b,X0),a),sP1_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_131,c_60]) ).

cnf(c_315,plain,
    divide(multiply(sP1_iProver_def,a),sP1_iProver_def) = a,
    inference(superposition,[status(thm)],[c_67,c_293]) ).

cnf(c_394,plain,
    divide(multiply(X0,b),X0) = b,
    inference(superposition,[status(thm)],[c_119,c_282]) ).

cnf(c_474,plain,
    divide(multiply(multiply(X0,b),divide(X1,b)),X0) = X1,
    inference(superposition,[status(thm)],[c_394,c_60]) ).

cnf(c_475,plain,
    divide(multiply(X0,b),X1) = multiply(divide(X0,X1),b),
    inference(superposition,[status(thm)],[c_394,c_60]) ).

cnf(c_476,plain,
    multiply(multiply(inverse(X0),b),X0) = b,
    inference(superposition,[status(thm)],[c_394,c_50]) ).

cnf(c_477,plain,
    multiply(multiply(X0,X1),b) = multiply(multiply(X0,b),X1),
    inference(superposition,[status(thm)],[c_394,c_117]) ).

cnf(c_492,plain,
    multiply(multiply(a,b),divide(X0,sP0_iProver_def)) = X0,
    inference(demodulation,[status(thm)],[c_119,c_477]) ).

cnf(c_494,plain,
    multiply(sP0_iProver_def,divide(X0,sP0_iProver_def)) = X0,
    inference(light_normalisation,[status(thm)],[c_492,c_66]) ).

cnf(c_569,plain,
    divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
    inference(superposition,[status(thm)],[c_111,c_60]) ).

cnf(c_655,plain,
    divide(b,inverse(divide(X0,b))) = X0,
    inference(superposition,[status(thm)],[c_476,c_474]) ).

cnf(c_733,plain,
    multiply(multiply(a,X0),b) = multiply(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_199,c_494]) ).

cnf(c_738,plain,
    divide(multiply(sP0_iProver_def,X0),sP0_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_199,c_733]) ).

cnf(c_761,plain,
    divide(X0,divide(sP0_iProver_def,sP0_iProver_def)) = X0,
    inference(superposition,[status(thm)],[c_738,c_60]) ).

cnf(c_794,plain,
    multiply(b,divide(X0,b)) = X0,
    inference(demodulation,[status(thm)],[c_655,c_50]) ).

cnf(c_797,plain,
    divide(multiply(X0,a),sP1_iProver_def) = divide(X0,b),
    inference(superposition,[status(thm)],[c_794,c_293]) ).

cnf(c_798,plain,
    divide(sP1_iProver_def,b) = a,
    inference(demodulation,[status(thm)],[c_315,c_797]) ).

cnf(c_869,plain,
    divide(multiply(sP1_iProver_def,b),b) = multiply(a,b),
    inference(superposition,[status(thm)],[c_798,c_475]) ).

cnf(c_875,plain,
    divide(multiply(sP1_iProver_def,b),b) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_869,c_66]) ).

cnf(c_918,plain,
    divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
    inference(superposition,[status(thm)],[c_50,c_569]) ).

cnf(c_923,plain,
    divide(multiply(X0,X1),divide(X0,divide(sP0_iProver_def,sP0_iProver_def))) = X1,
    inference(superposition,[status(thm)],[c_761,c_569]) ).

cnf(c_950,plain,
    divide(multiply(X0,X1),X0) = X1,
    inference(light_normalisation,[status(thm)],[c_923,c_761]) ).

cnf(c_1138,plain,
    divide(X0,divide(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_950,c_569]) ).

cnf(c_1201,plain,
    multiply(divide(X0,X0),X1) = X1,
    inference(superposition,[status(thm)],[c_1138,c_950]) ).

cnf(c_1809,plain,
    divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
    inference(demodulation,[status(thm)],[c_918,c_50]) ).

cnf(c_1839,plain,
    divide(multiply(multiply(divide(X0,X0),X1),X2),X2) = X1,
    inference(superposition,[status(thm)],[c_1201,c_1809]) ).

cnf(c_1849,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_1839,c_1201]) ).

cnf(c_1851,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_875,c_1849]) ).

cnf(c_1852,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1851,c_68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GRP556-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n022.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu May  2 23:58:57 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.17/0.43  Running UEQ theorem proving
% 0.17/0.43  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
% 1.53/1.12  % SZS status Started for theBenchmark.p
% 1.53/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 1.53/1.12  
% 1.53/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.53/1.12  
% 1.53/1.12  ------  iProver source info
% 1.53/1.12  
% 1.53/1.12  git: date: 2024-05-02 19:28:25 +0000
% 1.53/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.53/1.12  git: non_committed_changes: false
% 1.53/1.12  
% 1.53/1.12  ------ Parsing...successful
% 1.53/1.12  
% 1.53/1.12  
% 1.53/1.12  
% 1.53/1.12  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.53/1.12  
% 1.53/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.53/1.12  
% 1.53/1.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 1.53/1.12  ------ Proving...
% 1.53/1.12  ------ Problem Properties 
% 1.53/1.12  
% 1.53/1.12  
% 1.53/1.12  clauses                                 5
% 1.53/1.12  conjectures                             1
% 1.53/1.12  EPR                                     1
% 1.53/1.12  Horn                                    5
% 1.53/1.12  unary                                   5
% 1.53/1.12  binary                                  0
% 1.53/1.12  lits                                    5
% 1.53/1.12  lits eq                                 5
% 1.53/1.12  fd_pure                                 0
% 1.53/1.12  fd_pseudo                               0
% 1.53/1.12  fd_cond                                 0
% 1.53/1.12  fd_pseudo_cond                          0
% 1.53/1.12  AC symbols                              0
% 1.53/1.12  
% 1.53/1.12  ------ Input Options Time Limit: Unbounded
% 1.53/1.12  
% 1.53/1.12  
% 1.53/1.12  ------ 
% 1.53/1.12  Current options:
% 1.53/1.12  ------ 
% 1.53/1.12  
% 1.53/1.12  
% 1.53/1.12  
% 1.53/1.12  
% 1.53/1.12  ------ Proving...
% 1.53/1.12  
% 1.53/1.12  
% 1.53/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 1.53/1.12  
% 1.53/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.53/1.12  
% 1.53/1.12  
%------------------------------------------------------------------------------