TSTP Solution File: GRP098-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP098-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : Fri May  3 02:20:57 EDT 2024

% Result   : Unsatisfiable 17.67s 3.22s
% Output   : CNFRefutation 17.67s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    divide(divide(divide(X0,inverse(X1)),X2),divide(X0,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(multiply(inverse(b2),b2),a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | multiply(a4,b4) != multiply(b4,a4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).

cnf(c_66,plain,
    divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
    inference(light_normalisation,[status(thm)],[c_49,c_50]) ).

cnf(c_77,plain,
    inverse(b2) = sP0_iProver_def,
    definition ).

cnf(c_78,plain,
    multiply(sP0_iProver_def,b2) = sP1_iProver_def,
    definition ).

cnf(c_79,plain,
    multiply(sP1_iProver_def,a2) = sP2_iProver_def,
    definition ).

cnf(c_80,plain,
    multiply(a3,b3) = sP3_iProver_def,
    definition ).

cnf(c_81,plain,
    multiply(sP3_iProver_def,c3) = sP4_iProver_def,
    definition ).

cnf(c_82,plain,
    multiply(b3,c3) = sP5_iProver_def,
    definition ).

cnf(c_83,plain,
    multiply(a3,sP5_iProver_def) = sP6_iProver_def,
    definition ).

cnf(c_84,plain,
    inverse(a1) = sP7_iProver_def,
    definition ).

cnf(c_85,plain,
    multiply(sP7_iProver_def,a1) = sP8_iProver_def,
    definition ).

cnf(c_86,plain,
    inverse(b1) = sP9_iProver_def,
    definition ).

cnf(c_87,plain,
    multiply(sP9_iProver_def,b1) = sP10_iProver_def,
    definition ).

cnf(c_88,plain,
    multiply(a4,b4) = sP11_iProver_def,
    definition ).

cnf(c_89,plain,
    multiply(b4,a4) = sP12_iProver_def,
    definition ).

cnf(c_90,negated_conjecture,
    ( sP2_iProver_def != a2
    | sP4_iProver_def != sP6_iProver_def
    | sP8_iProver_def != sP10_iProver_def
    | sP11_iProver_def != sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_51,c_89,c_88,c_86,c_87,c_84,c_85,c_82,c_83,c_80,c_81,c_77,c_78,c_79]) ).

cnf(c_170,plain,
    divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
    inference(superposition,[status(thm)],[c_66,c_66]) ).

cnf(c_177,plain,
    divide(divide(sP5_iProver_def,X0),divide(b3,X0)) = c3,
    inference(superposition,[status(thm)],[c_82,c_66]) ).

cnf(c_189,plain,
    divide(X0,sP7_iProver_def) = multiply(X0,a1),
    inference(superposition,[status(thm)],[c_84,c_50]) ).

cnf(c_191,plain,
    divide(X0,sP0_iProver_def) = multiply(X0,b2),
    inference(superposition,[status(thm)],[c_77,c_50]) ).

cnf(c_192,plain,
    divide(divide(multiply(X0,X1),inverse(X2)),multiply(X0,X2)) = X1,
    inference(superposition,[status(thm)],[c_50,c_66]) ).

cnf(c_395,plain,
    multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
    inference(superposition,[status(thm)],[c_170,c_50]) ).

cnf(c_397,plain,
    divide(divide(multiply(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X4),X1),X3) = X4,
    inference(superposition,[status(thm)],[c_170,c_66]) ).

cnf(c_895,plain,
    divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
    inference(demodulation,[status(thm)],[c_192,c_50]) ).

cnf(c_903,plain,
    divide(multiply(sP6_iProver_def,X0),multiply(a3,X0)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_83,c_895]) ).

cnf(c_910,plain,
    divide(multiply(multiply(sP0_iProver_def,X0),b2),sP1_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_78,c_895]) ).

cnf(c_914,plain,
    divide(multiply(multiply(sP7_iProver_def,X0),a1),sP8_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_85,c_895]) ).

cnf(c_919,plain,
    divide(X0,divide(multiply(X1,X0),multiply(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_895,c_66]) ).

cnf(c_1334,plain,
    divide(multiply(sP6_iProver_def,b3),sP3_iProver_def) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_80,c_903]) ).

cnf(c_1347,plain,
    divide(sP5_iProver_def,divide(sP6_iProver_def,sP3_iProver_def)) = b3,
    inference(superposition,[status(thm)],[c_1334,c_66]) ).

cnf(c_1371,plain,
    divide(b3,divide(b3,divide(sP6_iProver_def,sP3_iProver_def))) = c3,
    inference(superposition,[status(thm)],[c_1347,c_177]) ).

cnf(c_14651,plain,
    divide(divide(X0,inverse(X1)),X0) = X1,
    inference(superposition,[status(thm)],[c_395,c_397]) ).

cnf(c_15069,plain,
    divide(multiply(X0,X1),X0) = X1,
    inference(light_normalisation,[status(thm)],[c_14651,c_50]) ).

cnf(c_16415,plain,
    divide(sP12_iProver_def,b4) = a4,
    inference(superposition,[status(thm)],[c_89,c_15069]) ).

cnf(c_16417,plain,
    divide(sP2_iProver_def,sP1_iProver_def) = a2,
    inference(superposition,[status(thm)],[c_79,c_15069]) ).

cnf(c_16436,plain,
    multiply(multiply(sP7_iProver_def,X0),a1) = X0,
    inference(superposition,[status(thm)],[c_15069,c_189]) ).

cnf(c_16438,plain,
    multiply(multiply(sP0_iProver_def,X0),b2) = X0,
    inference(superposition,[status(thm)],[c_15069,c_191]) ).

cnf(c_16441,plain,
    divide(X0,sP8_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_914,c_16436]) ).

cnf(c_16477,plain,
    divide(X0,sP1_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_910,c_16438]) ).

cnf(c_16953,plain,
    a2 = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_16417,c_16477]) ).

cnf(c_16999,plain,
    ( sP2_iProver_def != sP2_iProver_def
    | sP4_iProver_def != sP6_iProver_def
    | sP8_iProver_def != sP10_iProver_def
    | sP11_iProver_def != sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_90,c_16953]) ).

cnf(c_17000,plain,
    ( sP4_iProver_def != sP6_iProver_def
    | sP8_iProver_def != sP10_iProver_def
    | sP11_iProver_def != sP12_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_16999]) ).

cnf(c_20028,plain,
    multiply(sP8_iProver_def,X0) = X0,
    inference(superposition,[status(thm)],[c_16441,c_15069]) ).

cnf(c_21144,plain,
    multiply(sP1_iProver_def,X0) = X0,
    inference(superposition,[status(thm)],[c_16477,c_15069]) ).

cnf(c_21401,plain,
    divide(divide(X0,X1),divide(sP8_iProver_def,X1)) = X0,
    inference(superposition,[status(thm)],[c_20028,c_66]) ).

cnf(c_21402,plain,
    divide(multiply(multiply(sP8_iProver_def,X0),X1),X1) = X0,
    inference(superposition,[status(thm)],[c_20028,c_895]) ).

cnf(c_21406,plain,
    divide(X0,divide(multiply(sP8_iProver_def,X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_20028,c_919]) ).

cnf(c_21407,plain,
    divide(X0,divide(X0,X1)) = X1,
    inference(light_normalisation,[status(thm)],[c_21406,c_20028]) ).

cnf(c_21408,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_21402,c_20028]) ).

cnf(c_21409,plain,
    divide(sP6_iProver_def,sP3_iProver_def) = c3,
    inference(demodulation,[status(thm)],[c_1371,c_21407]) ).

cnf(c_27730,plain,
    divide(multiply(X0,X1),divide(sP8_iProver_def,inverse(X1))) = X0,
    inference(superposition,[status(thm)],[c_50,c_21401]) ).

cnf(c_27910,plain,
    divide(X0,divide(sP8_iProver_def,X1)) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_15069,c_21401]) ).

cnf(c_30740,plain,
    multiply(inverse(X0),multiply(X1,X0)) = X1,
    inference(demodulation,[status(thm)],[c_27730,c_27910]) ).

cnf(c_30753,plain,
    multiply(inverse(X0),X0) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_21144,c_30740]) ).

cnf(c_31637,plain,
    multiply(sP7_iProver_def,a1) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_84,c_30753]) ).

cnf(c_31638,plain,
    multiply(sP9_iProver_def,b1) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_86,c_30753]) ).

cnf(c_31656,plain,
    sP1_iProver_def = sP8_iProver_def,
    inference(demodulation,[status(thm)],[c_85,c_31637]) ).

cnf(c_31660,plain,
    ( sP1_iProver_def != sP10_iProver_def
    | sP4_iProver_def != sP6_iProver_def
    | sP11_iProver_def != sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_17000,c_31656]) ).

cnf(c_31671,plain,
    sP1_iProver_def = sP10_iProver_def,
    inference(demodulation,[status(thm)],[c_87,c_31638]) ).

cnf(c_31672,plain,
    ( sP4_iProver_def != sP6_iProver_def
    | sP11_iProver_def != sP12_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_31660,c_31671]) ).

cnf(c_33142,plain,
    divide(X0,multiply(X0,X1)) = inverse(X1),
    inference(superposition,[status(thm)],[c_50,c_21407]) ).

cnf(c_33178,plain,
    divide(sP6_iProver_def,c3) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_21409,c_21407]) ).

cnf(c_33805,plain,
    divide(sP1_iProver_def,X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_21144,c_33142]) ).

cnf(c_34387,plain,
    inverse(divide(sP1_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_33805,c_21407]) ).

cnf(c_34391,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_34387,c_33805]) ).

cnf(c_34499,plain,
    multiply(X0,inverse(X1)) = divide(X0,X1),
    inference(superposition,[status(thm)],[c_34391,c_50]) ).

cnf(c_34816,plain,
    multiply(multiply(X0,inverse(X1)),X1) = X0,
    inference(superposition,[status(thm)],[c_21408,c_50]) ).

cnf(c_34826,plain,
    multiply(divide(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_34816,c_34499]) ).

cnf(c_35056,plain,
    multiply(a4,b4) = sP12_iProver_def,
    inference(superposition,[status(thm)],[c_16415,c_34826]) ).

cnf(c_35078,plain,
    multiply(sP3_iProver_def,c3) = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_33178,c_34826]) ).

cnf(c_35094,plain,
    sP4_iProver_def = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_35078,c_81]) ).

cnf(c_35095,plain,
    sP11_iProver_def = sP12_iProver_def,
    inference(light_normalisation,[status(thm)],[c_35056,c_88]) ).

cnf(c_35145,plain,
    sP11_iProver_def != sP12_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_31672,c_35094]) ).

cnf(c_35153,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_35145,c_35095]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP098-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 23:58:29 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.67/3.22  % SZS status Started for theBenchmark.p
% 17.67/3.22  % SZS status Unsatisfiable for theBenchmark.p
% 17.67/3.22  
% 17.67/3.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.67/3.22  
% 17.67/3.22  ------  iProver source info
% 17.67/3.22  
% 17.67/3.22  git: date: 2024-05-02 19:28:25 +0000
% 17.67/3.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.67/3.22  git: non_committed_changes: false
% 17.67/3.22  
% 17.67/3.22  ------ Parsing...successful
% 17.67/3.22  
% 17.67/3.22  
% 17.67/3.22  
% 17.67/3.22  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 17.67/3.22  
% 17.67/3.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 17.67/3.22  
% 17.67/3.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 17.67/3.22  ------ Proving...
% 17.67/3.22  ------ Problem Properties 
% 17.67/3.22  
% 17.67/3.22  
% 17.67/3.22  clauses                                 16
% 17.67/3.22  conjectures                             1
% 17.67/3.22  EPR                                     1
% 17.67/3.22  Horn                                    16
% 17.67/3.22  unary                                   15
% 17.67/3.22  binary                                  0
% 17.67/3.22  lits                                    19
% 17.67/3.22  lits eq                                 19
% 17.67/3.22  fd_pure                                 0
% 17.67/3.22  fd_pseudo                               0
% 17.67/3.22  fd_cond                                 0
% 17.67/3.22  fd_pseudo_cond                          0
% 17.67/3.22  AC symbols                              0
% 17.67/3.22  
% 17.67/3.22  ------ Schedule dynamic 5 is on 
% 17.67/3.22  
% 17.67/3.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.67/3.22  
% 17.67/3.22  
% 17.67/3.22  ------ 
% 17.67/3.22  Current options:
% 17.67/3.22  ------ 
% 17.67/3.22  
% 17.67/3.22  
% 17.67/3.22  
% 17.67/3.22  
% 17.67/3.22  ------ Proving...
% 17.67/3.22  
% 17.67/3.22  
% 17.67/3.22  % SZS status Unsatisfiable for theBenchmark.p
% 17.67/3.22  
% 17.67/3.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.67/3.22  
% 17.67/3.23  
%------------------------------------------------------------------------------