TSTP Solution File: GEO124-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO124-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 02:16:29 EDT 2024

% Result   : Unsatisfiable 12.19s 2.70s
% Output   : CNFRefutation 12.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   28 (  10 unt;   5 nHn;  27 RR)
%            Number of literals    :   64 (  22 equ;  35 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   36 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    start_point(sk26,sk25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_133) ).

cnf(c_50,negated_conjecture,
    start_point(sk27,sk25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_134) ).

cnf(c_51,negated_conjecture,
    sk26 != sk27,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_135) ).

cnf(c_57,plain,
    ( ~ ordered_by(X0,X1,X2)
    | ~ ordered_by(X0,X2,X3)
    | between_o(X0,X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',between_o_defn_6) ).

cnf(c_58,plain,
    ( ~ start_point(X0,X1)
    | incident_o(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',start_point_defn_7) ).

cnf(c_59,plain,
    ( ~ start_point(X0,X1)
    | ~ incident_o(X2,X1)
    | X0 = X2
    | ordered_by(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',start_point_defn_8) ).

cnf(c_75,plain,
    ( ~ between_o(X0,X1,X2,X3)
    | between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o3_24) ).

cnf(c_94,plain,
    ( X0 != X1
    | ~ between_c(X2,X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).

cnf(c_148,plain,
    ~ between_c(X0,X1,X2,X1),
    inference(unflattening,[status(thm)],[c_94]) ).

cnf(c_232,plain,
    ( ~ start_point(X0,X1)
    | incident_o(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_58]) ).

cnf(c_1657,plain,
    ( X0 != sk26
    | X1 != sk25
    | incident_o(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_232]) ).

cnf(c_1658,plain,
    incident_o(sk26,sk25),
    inference(unflattening,[status(thm)],[c_1657]) ).

cnf(c_1674,plain,
    ( X0 != sk25
    | X1 != sk27
    | incident_o(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_232]) ).

cnf(c_1675,plain,
    incident_o(sk27,sk25),
    inference(unflattening,[status(thm)],[c_1674]) ).

cnf(c_5516,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_5518,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_8105,plain,
    ( sk26 != X0
    | sk27 != X0
    | sk26 = sk27 ),
    inference(instantiation,[status(thm)],[c_5518]) ).

cnf(c_8187,plain,
    ( ~ start_point(sk26,X0)
    | ~ incident_o(sk27,X0)
    | sk26 = sk27
    | ordered_by(X0,sk26,sk27) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_8188,plain,
    ( ~ start_point(sk26,sk25)
    | ~ incident_o(sk27,sk25)
    | sk26 = sk27
    | ordered_by(sk25,sk26,sk27) ),
    inference(instantiation,[status(thm)],[c_8187]) ).

cnf(c_9033,plain,
    ( sk26 != sk26
    | sk27 != sk26
    | sk26 = sk27 ),
    inference(instantiation,[status(thm)],[c_8105]) ).

cnf(c_9034,plain,
    sk26 = sk26,
    inference(instantiation,[status(thm)],[c_5516]) ).

cnf(c_9203,plain,
    ( ~ ordered_by(X0,sk27,X1)
    | ~ ordered_by(X0,sk26,sk27)
    | between_o(X0,X1,sk27,sk26) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_9230,plain,
    ( ~ start_point(X0,X1)
    | ~ incident_o(sk26,X1)
    | X0 = sk26
    | ordered_by(X1,X0,sk26) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_14006,plain,
    ( ~ start_point(sk27,sk25)
    | ~ incident_o(sk26,sk25)
    | sk27 = sk26
    | ordered_by(sk25,sk27,sk26) ),
    inference(instantiation,[status(thm)],[c_9230]) ).

cnf(c_24755,plain,
    ( ~ ordered_by(sk25,sk26,sk27)
    | ~ ordered_by(sk25,sk27,sk26)
    | between_o(sk25,sk26,sk27,sk26) ),
    inference(instantiation,[status(thm)],[c_9203]) ).

cnf(c_38596,plain,
    ( ~ between_o(sk25,sk26,sk27,sk26)
    | between_c(ax2_sk4(sk25,sk26,sk27,sk26),sk26,sk27,sk26) ),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_65233,plain,
    ~ between_c(ax2_sk4(sk25,sk26,sk27,sk26),sk26,sk27,sk26),
    inference(instantiation,[status(thm)],[c_148]) ).

cnf(c_65234,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_65233,c_38596,c_24755,c_14006,c_9034,c_9033,c_8188,c_1675,c_1658,c_51,c_49,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO124-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May  3 01:11:35 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 12.19/2.70  % SZS status Started for theBenchmark.p
% 12.19/2.70  % SZS status Unsatisfiable for theBenchmark.p
% 12.19/2.70  
% 12.19/2.70  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 12.19/2.70  
% 12.19/2.70  ------  iProver source info
% 12.19/2.70  
% 12.19/2.70  git: date: 2024-05-02 19:28:25 +0000
% 12.19/2.70  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 12.19/2.70  git: non_committed_changes: false
% 12.19/2.70  
% 12.19/2.70  ------ Parsing...successful
% 12.19/2.70  
% 12.19/2.70  
% 12.19/2.70  
% 12.19/2.70  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 12.19/2.70  
% 12.19/2.70  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 12.19/2.70  
% 12.19/2.70  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 12.19/2.70  ------ Proving...
% 12.19/2.70  ------ Problem Properties 
% 12.19/2.70  
% 12.19/2.70  
% 12.19/2.70  clauses                                 88
% 12.19/2.70  conjectures                             3
% 12.19/2.70  EPR                                     32
% 12.19/2.70  Horn                                    57
% 12.19/2.70  unary                                   7
% 12.19/2.70  binary                                  33
% 12.19/2.70  lits                                    256
% 12.19/2.70  lits eq                                 25
% 12.19/2.70  fd_pure                                 0
% 12.19/2.70  fd_pseudo                               0
% 12.19/2.70  fd_cond                                 0
% 12.19/2.70  fd_pseudo_cond                          17
% 12.19/2.70  AC symbols                              0
% 12.19/2.70  
% 12.19/2.70  ------ Schedule dynamic 5 is on 
% 12.19/2.70  
% 12.19/2.70  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 12.19/2.70  
% 12.19/2.70  
% 12.19/2.70  ------ 
% 12.19/2.70  Current options:
% 12.19/2.70  ------ 
% 12.19/2.70  
% 12.19/2.70  
% 12.19/2.70  
% 12.19/2.70  
% 12.19/2.70  ------ Proving...
% 12.19/2.70  
% 12.19/2.70  
% 12.19/2.70  % SZS status Unsatisfiable for theBenchmark.p
% 12.19/2.70  
% 12.19/2.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.19/2.70  
% 12.19/2.70  
%------------------------------------------------------------------------------