TSTP Solution File: ANA027-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ANA027-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 02:05:35 EDT 2024

% Result   : Unsatisfiable 2.54s 1.20s
% Output   : CNFRefutation 2.54s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_50,negated_conjecture,
    c_lessequals(v_g(v_x),v_k(v_x),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_51,negated_conjecture,
    ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_52,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_53,plain,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
    | c_plus(c_0,X1,X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).

cnf(c_54,plain,
    ( ~ c_lessequals(X0,c_minus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_lessequals(c_plus(X0,X2,X3),X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).

cnf(c_55,plain,
    ( ~ c_lessequals(c_plus(X0,X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | c_lessequals(X0,c_minus(X3,X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).

cnf(c_56,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ c_lessequals(X3,X0,X2)
    | ~ class_Orderings_Oorder(X2)
    | c_lessequals(X3,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(c_57,plain,
    ( ~ class_LOrder_Ojoin__semilorder(X0)
    | class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).

cnf(c_58,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | class_OrderedGroup_Opordered__ab__group__add(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

cnf(c_59,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | class_LOrder_Ojoin__semilorder(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).

cnf(c_60,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Ocomm__monoid__add(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).

cnf(c_61,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(c_174,plain,
    ( X0 != t_b
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_61]) ).

cnf(c_175,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(unflattening,[status(thm)],[c_174]) ).

cnf(c_179,plain,
    ( X0 != t_b
    | class_OrderedGroup_Ocomm__monoid__add(X0) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_60]) ).

cnf(c_180,plain,
    class_OrderedGroup_Ocomm__monoid__add(t_b),
    inference(unflattening,[status(thm)],[c_179]) ).

cnf(c_186,plain,
    ( X0 != t_b
    | c_plus(c_0,X1,X0) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_53,c_180]) ).

cnf(c_187,plain,
    c_plus(c_0,X0,t_b) = X0,
    inference(unflattening,[status(thm)],[c_186]) ).

cnf(c_193,plain,
    ( X0 != X1
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | class_Orderings_Oorder(X1) ),
    inference(resolution_lifted,[status(thm)],[c_59,c_57]) ).

cnf(c_194,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | class_Orderings_Oorder(X0) ),
    inference(unflattening,[status(thm)],[c_193]) ).

cnf(c_204,plain,
    ( X0 != t_b
    | class_Orderings_Oorder(X0) ),
    inference(resolution_lifted,[status(thm)],[c_194,c_175]) ).

cnf(c_205,plain,
    class_Orderings_Oorder(t_b),
    inference(unflattening,[status(thm)],[c_204]) ).

cnf(c_209,plain,
    ( X0 != t_b
    | class_OrderedGroup_Opordered__ab__group__add(X0) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_175]) ).

cnf(c_210,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b),
    inference(unflattening,[status(thm)],[c_209]) ).

cnf(c_216,plain,
    ( X0 != t_b
    | ~ c_lessequals(X1,X2,X0)
    | ~ c_lessequals(X3,X1,X0)
    | c_lessequals(X3,X2,X0) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_205]) ).

cnf(c_217,plain,
    ( ~ c_lessequals(X0,X1,t_b)
    | ~ c_lessequals(X2,X0,t_b)
    | c_lessequals(X2,X1,t_b) ),
    inference(unflattening,[status(thm)],[c_216]) ).

cnf(c_230,plain,
    ( X0 != t_b
    | ~ c_lessequals(X1,c_minus(X2,X3,X0),X0)
    | c_lessequals(c_plus(X1,X3,X0),X2,X0) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_210]) ).

cnf(c_231,plain,
    ( ~ c_lessequals(X0,c_minus(X1,X2,t_b),t_b)
    | c_lessequals(c_plus(X0,X2,t_b),X1,t_b) ),
    inference(unflattening,[status(thm)],[c_230]) ).

cnf(c_239,plain,
    ( X0 != t_b
    | ~ c_lessequals(c_plus(X1,X2,X0),X3,X0)
    | c_lessequals(X1,c_minus(X3,X2,X0),X0) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_210]) ).

cnf(c_240,plain,
    ( ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b)
    | c_lessequals(X0,c_minus(X2,X1,t_b),t_b) ),
    inference(unflattening,[status(thm)],[c_239]) ).

cnf(c_294,plain,
    v_f(v_x) = sP0_iProver_def,
    definition ).

cnf(c_295,plain,
    v_g(v_x) = sP1_iProver_def,
    definition ).

cnf(c_296,plain,
    c_minus(sP0_iProver_def,sP1_iProver_def,t_b) = sP2_iProver_def,
    definition ).

cnf(c_297,plain,
    v_k(v_x) = sP3_iProver_def,
    definition ).

cnf(c_298,plain,
    c_minus(sP0_iProver_def,sP3_iProver_def,t_b) = sP4_iProver_def,
    definition ).

cnf(c_299,negated_conjecture,
    ~ c_lessequals(c_0,sP2_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_51,c_295,c_294,c_296]) ).

cnf(c_300,negated_conjecture,
    c_lessequals(sP1_iProver_def,sP3_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_50,c_297]) ).

cnf(c_301,negated_conjecture,
    c_lessequals(c_0,sP4_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_49,c_298]) ).

cnf(c_499,plain,
    ( ~ c_lessequals(X0,X1,t_b)
    | c_lessequals(c_0,c_minus(X1,X0,t_b),t_b) ),
    inference(superposition,[status(thm)],[c_187,c_240]) ).

cnf(c_507,plain,
    ( ~ c_lessequals(X0,sP4_iProver_def,t_b)
    | c_lessequals(c_plus(X0,sP3_iProver_def,t_b),sP0_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_298,c_231]) ).

cnf(c_515,plain,
    ( ~ c_lessequals(sP1_iProver_def,sP0_iProver_def,t_b)
    | c_lessequals(c_0,sP2_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_296,c_499]) ).

cnf(c_519,plain,
    ~ c_lessequals(sP1_iProver_def,sP0_iProver_def,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_515,c_299]) ).

cnf(c_541,plain,
    ( ~ c_lessequals(c_0,sP4_iProver_def,t_b)
    | c_lessequals(sP3_iProver_def,sP0_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_187,c_507]) ).

cnf(c_544,plain,
    c_lessequals(sP3_iProver_def,sP0_iProver_def,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_541,c_301]) ).

cnf(c_550,plain,
    ( ~ c_lessequals(X0,sP3_iProver_def,t_b)
    | c_lessequals(X0,sP0_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_544,c_217]) ).

cnf(c_558,plain,
    c_lessequals(sP1_iProver_def,sP0_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_300,c_550]) ).

cnf(c_559,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_558,c_519]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ANA027-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 19:47:03 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.54/1.20  % SZS status Started for theBenchmark.p
% 2.54/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 2.54/1.20  
% 2.54/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.54/1.20  
% 2.54/1.20  ------  iProver source info
% 2.54/1.20  
% 2.54/1.20  git: date: 2024-05-02 19:28:25 +0000
% 2.54/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.54/1.20  git: non_committed_changes: false
% 2.54/1.20  
% 2.54/1.20  ------ Parsing...successful
% 2.54/1.20  
% 2.54/1.20  
% 2.54/1.20  
% 2.54/1.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 2.54/1.20  
% 2.54/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.54/1.20  
% 2.54/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.54/1.20  ------ Proving...
% 2.54/1.20  ------ Problem Properties 
% 2.54/1.20  
% 2.54/1.20  
% 2.54/1.20  clauses                                 12
% 2.54/1.20  conjectures                             3
% 2.54/1.20  EPR                                     4
% 2.54/1.20  Horn                                    12
% 2.54/1.20  unary                                   9
% 2.54/1.20  binary                                  2
% 2.54/1.20  lits                                    16
% 2.54/1.20  lits eq                                 6
% 2.54/1.20  fd_pure                                 0
% 2.54/1.20  fd_pseudo                               0
% 2.54/1.20  fd_cond                                 0
% 2.54/1.20  fd_pseudo_cond                          0
% 2.54/1.20  AC symbols                              0
% 2.54/1.20  
% 2.54/1.20  ------ Schedule dynamic 5 is on 
% 2.54/1.20  
% 2.54/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.54/1.20  
% 2.54/1.20  
% 2.54/1.20  ------ 
% 2.54/1.20  Current options:
% 2.54/1.20  ------ 
% 2.54/1.20  
% 2.54/1.20  
% 2.54/1.20  
% 2.54/1.20  
% 2.54/1.20  ------ Proving...
% 2.54/1.20  
% 2.54/1.20  
% 2.54/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 2.54/1.20  
% 2.54/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.54/1.20  
% 2.54/1.20  
%------------------------------------------------------------------------------