TSTP Solution File: GEO280+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO280+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 : Wed Aug 30 23:10:50 EDT 2023

% Result   : Theorem 39.35s 6.25s
% Output   : CNFRefutation 39.35s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f898)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ rinside(vd1125,vd1139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(247))') ).

fof(f2,negated_conjecture,
    ~ ~ rinside(vd1125,vd1139),
    inference(negated_conjecture,[],[f1]) ).

fof(f117,plain,
    rinside(vd1125,vd1139),
    inference(flattening,[],[f2]) ).

fof(f537,plain,
    rinside(vd1125,vd1139),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_53,plain,
    rcenter(vd1124,vd1139),
    inference(cnf_transformation,[],[f792]) ).

cnf(c_54,plain,
    ron(vd1136,vd1139),
    inference(cnf_transformation,[],[f538]) ).

cnf(c_56,plain,
    vf(vd1124,vd1136) = vf(vd1128,vd1130),
    inference(cnf_transformation,[],[f793]) ).

cnf(c_97,plain,
    ( ~ rpoint(X0)
    | ~ rpoint(X1)
    | rreal(sK6(X0,X1)) ),
    inference(cnf_transformation,[],[f896]) ).

cnf(c_98,plain,
    ( ~ rpoint(X0)
    | ~ rpoint(X1)
    | vf(X0,X1) = sK6(X0,X1) ),
    inference(cnf_transformation,[],[f898]) ).

cnf(c_120,plain,
    ( ~ rinside(X0,X1)
    | ~ ron(X2,X1)
    | ~ rcenter(X3,X1)
    | ~ rpoint(X0)
    | ~ rpoint(X2)
    | rless(vf(X3,X0),vf(X3,X2)) ),
    inference(cnf_transformation,[],[f943]) ).

cnf(c_121,plain,
    ( ~ rless(vf(X0,X1),vf(X0,X2))
    | ~ ron(X2,X3)
    | ~ rcenter(X0,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | rinside(X1,X3) ),
    inference(cnf_transformation,[],[f945]) ).

cnf(c_123,plain,
    ( ~ rless(X0,X1)
    | ~ rless(X2,X0)
    | ~ rreal(X0)
    | ~ rreal(X1)
    | ~ rreal(X2)
    | rless(X2,X1) ),
    inference(cnf_transformation,[],[f951]) ).

cnf(c_171,plain,
    ( ~ rinside(X0,X1)
    | ~ ron(X0,X1)
    | ~ rcircle(X1)
    | ~ rpoint(X0) ),
    inference(cnf_transformation,[],[f1131]) ).

cnf(c_14886,plain,
    ( ~ rinside(X0_14,X0_15)
    | ~ ron(X0_14,X0_15)
    | ~ rcircle(X0_15)
    | ~ rpoint(X0_14) ),
    inference(subtyping,[status(esa)],[c_171]) ).

cnf(c_14929,plain,
    ( ~ rless(X0_13,X1_13)
    | ~ rless(X2_13,X0_13)
    | ~ rreal(X0_13)
    | ~ rreal(X1_13)
    | ~ rreal(X2_13)
    | rless(X2_13,X1_13) ),
    inference(subtyping,[status(esa)],[c_123]) ).

cnf(c_14931,plain,
    ( ~ rless(vf(X0_14,X1_14),vf(X0_14,X2_14))
    | ~ ron(X2_14,X0_15)
    | ~ rcenter(X0_14,X0_15)
    | ~ rpoint(X1_14)
    | ~ rpoint(X2_14)
    | rinside(X1_14,X0_15) ),
    inference(subtyping,[status(esa)],[c_121]) ).

cnf(c_14932,plain,
    ( ~ rinside(X0_14,X0_15)
    | ~ ron(X1_14,X0_15)
    | ~ rcenter(X2_14,X0_15)
    | ~ rpoint(X0_14)
    | ~ rpoint(X1_14)
    | rless(vf(X2_14,X0_14),vf(X2_14,X1_14)) ),
    inference(subtyping,[status(esa)],[c_120]) ).

cnf(c_14954,plain,
    ( ~ rpoint(X0_14)
    | ~ rpoint(X1_14)
    | vf(X0_14,X1_14) = sK6(X0_14,X1_14) ),
    inference(subtyping,[status(esa)],[c_98]) ).

cnf(c_14955,plain,
    ( ~ rpoint(X0_14)
    | ~ rpoint(X1_14)
    | rreal(sK6(X0_14,X1_14)) ),
    inference(subtyping,[status(esa)],[c_97]) ).

cnf(c_21283,plain,
    ( ~ rinside(vd1136,vd1139)
    | ~ ron(vd1136,vd1139)
    | ~ rcircle(vd1139)
    | ~ rpoint(vd1136) ),
    inference(instantiation,[status(thm)],[c_14886]) ).

cnf(c_21291,plain,
    ( ~ rless(vf(X0_14,X1_14),vf(X0_14,vd1136))
    | ~ rcenter(X0_14,vd1139)
    | ~ ron(vd1136,vd1139)
    | ~ rpoint(X1_14)
    | ~ rpoint(vd1136)
    | rinside(X1_14,vd1139) ),
    inference(instantiation,[status(thm)],[c_14931]) ).

cnf(c_21295,plain,
    ( ~ rinside(X0_14,vd1139)
    | ~ rcenter(X1_14,vd1139)
    | ~ ron(vd1136,vd1139)
    | ~ rpoint(X0_14)
    | ~ rpoint(vd1136)
    | rless(vf(X1_14,X0_14),vf(X1_14,vd1136)) ),
    inference(instantiation,[status(thm)],[c_14932]) ).

cnf(c_21736,plain,
    ( ~ rless(vf(vd1124,vd1136),vf(vd1124,vd1126))
    | ~ rless(vf(vd1124,vd1126),X0_13)
    | ~ rreal(vf(vd1124,vd1126))
    | ~ rreal(vf(vd1124,vd1136))
    | ~ rreal(X0_13)
    | rless(vf(vd1124,vd1136),X0_13) ),
    inference(instantiation,[status(thm)],[c_14929]) ).

cnf(c_23769,plain,
    ( ~ rless(vf(X0_14,vd1136),vf(X0_14,vd1136))
    | ~ rcenter(X0_14,vd1139)
    | ~ ron(vd1136,vd1139)
    | ~ rpoint(vd1136)
    | rinside(vd1136,vd1139) ),
    inference(instantiation,[status(thm)],[c_21291]) ).

cnf(c_23770,plain,
    ( ~ rless(vf(vd1124,vd1136),vf(vd1124,vd1136))
    | ~ ron(vd1136,vd1139)
    | ~ rcenter(vd1124,vd1139)
    | ~ rpoint(vd1136)
    | rinside(vd1136,vd1139) ),
    inference(instantiation,[status(thm)],[c_23769]) ).

cnf(c_23800,plain,
    ( ~ rinside(vd1126,vd1139)
    | ~ ron(vd1136,vd1139)
    | ~ rcenter(vd1124,vd1139)
    | ~ rpoint(vd1126)
    | ~ rpoint(vd1136)
    | rless(vf(vd1124,vd1126),vf(vd1124,vd1136)) ),
    inference(instantiation,[status(thm)],[c_21295]) ).

cnf(c_23801,plain,
    ( ~ rless(vf(vd1124,vd1126),vf(vd1124,vd1136))
    | ~ rless(vf(vd1124,vd1136),vf(vd1124,vd1126))
    | ~ rreal(vf(vd1124,vd1126))
    | ~ rreal(vf(vd1124,vd1136))
    | rless(vf(vd1124,vd1136),vf(vd1124,vd1136)) ),
    inference(instantiation,[status(thm)],[c_21736]) ).

fof(f3,axiom,
    ( ron(vd1123,vd1138)
    & ron(vd1125,vd1138)
    & rcircle(vd1139)
    & rcenter(vd1123,vd1139)
    & ron(vd1136,vd1139) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))') ).

fof(f792,plain,
    rcenter(vd1124,vd1139),
    inference(definition_unfolding,[],[f539,f555]) ).

fof(f4,axiom,
    rline(vd1138),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(246, 0)') ).

fof(f538,plain,
    ron(vd1136,vd1139),
    inference(cnf_transformation,[],[f3]) ).

fof(f5,axiom,
    vf(vd1127,vd1129) = vf(vd1123,vd1136),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(245, 1137, 0)') ).

fof(f543,plain,
    rline(vd1138),
    inference(cnf_transformation,[],[f4]) ).

fof(f7,axiom,
    ( rpoint(vd1124)
    & vd1123 = vd1124
    & rpoint(vd1126)
    & vd1125 = vd1126
    & rpoint(vd1128)
    & vd1127 = vd1128
    & rpoint(vd1130)
    & vd1129 = vd1130
    & vd1125 != vd1123
    & vd1127 != vd1129
    & rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).

fof(f555,plain,
    vd1123 = vd1124,
    inference(cnf_transformation,[],[f7]) ).

fof(f539,plain,
    rcenter(vd1123,vd1139),
    inference(cnf_transformation,[],[f3]) ).

fof(f540,plain,
    rcircle(vd1139),
    inference(cnf_transformation,[],[f3]) ).

fof(f544,plain,
    vf(vd1127,vd1129) = vf(vd1123,vd1136),
    inference(cnf_transformation,[],[f5]) ).

fof(f546,plain,
    rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
    inference(cnf_transformation,[],[f7]) ).

fof(f549,plain,
    vd1129 = vd1130,
    inference(cnf_transformation,[],[f7]) ).

fof(f551,plain,
    vd1127 = vd1128,
    inference(cnf_transformation,[],[f7]) ).

fof(f6,axiom,
    rpoint(vd1136),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(245, 0)') ).

fof(f793,plain,
    vf(vd1128,vd1130) = vf(vd1124,vd1136),
    inference(definition_unfolding,[],[f544,f551,f549,f555]) ).

fof(f545,plain,
    rpoint(vd1136),
    inference(cnf_transformation,[],[f6]) ).

fof(f553,plain,
    vd1125 = vd1126,
    inference(cnf_transformation,[],[f7]) ).

fof(f554,plain,
    rpoint(vd1126),
    inference(cnf_transformation,[],[f7]) ).

fof(f556,plain,
    rpoint(vd1124),
    inference(cnf_transformation,[],[f7]) ).

fof(f789,plain,
    rinside(vd1126,vd1139),
    inference(definition_unfolding,[],[f537,f553]) ).

fof(f796,plain,
    rless(vf(vd1128,vd1130),vf(vd1124,vd1126)),
    inference(definition_unfolding,[],[f546,f551,f549,f555,f553]) ).

cnf(c_49,negated_conjecture,
    rinside(vd1126,vd1139),
    inference(cnf_transformation,[],[f789]) ).

cnf(c_52,plain,
    rcircle(vd1139),
    inference(cnf_transformation,[],[f540]) ).

cnf(c_57,plain,
    rpoint(vd1136),
    inference(cnf_transformation,[],[f545]) ).

cnf(c_58,plain,
    rpoint(vd1124),
    inference(cnf_transformation,[],[f556]) ).

cnf(c_59,plain,
    rpoint(vd1126),
    inference(cnf_transformation,[],[f554]) ).

cnf(c_64,plain,
    rless(vf(vd1128,vd1130),vf(vd1124,vd1126)),
    inference(cnf_transformation,[],[f796]) ).

cnf(c_3421,plain,
    rless(vf(vd1124,vd1136),vf(vd1124,vd1126)),
    inference(demodulation,[status(thm)],[c_64,c_56]) ).

cnf(c_14992,plain,
    rpoint(vd1126),
    inference(subtyping,[status(esa)],[c_59]) ).

cnf(c_14993,plain,
    rpoint(vd1124),
    inference(subtyping,[status(esa)],[c_58]) ).

cnf(c_14994,plain,
    rpoint(vd1136),
    inference(subtyping,[status(esa)],[c_57]) ).

cnf(c_29574,plain,
    ( ~ rpoint(X0_14)
    | vf(vd1124,X0_14) = sK6(vd1124,X0_14) ),
    inference(superposition,[status(thm)],[c_14993,c_14954]) ).

cnf(c_29681,plain,
    vf(vd1124,vd1136) = sK6(vd1124,vd1136),
    inference(superposition,[status(thm)],[c_14994,c_29574]) ).

cnf(c_29683,plain,
    vf(vd1124,vd1126) = sK6(vd1124,vd1126),
    inference(superposition,[status(thm)],[c_14992,c_29574]) ).

cnf(c_29988,plain,
    ( ~ rpoint(vd1124)
    | ~ rpoint(vd1136)
    | rreal(vf(vd1124,vd1136)) ),
    inference(superposition,[status(thm)],[c_29681,c_14955]) ).

cnf(c_29989,plain,
    rreal(vf(vd1124,vd1136)),
    inference(forward_subsumption_resolution,[status(thm)],[c_29988,c_14994,c_14993]) ).

cnf(c_30081,plain,
    ( ~ rpoint(vd1126)
    | ~ rpoint(vd1124)
    | rreal(vf(vd1124,vd1126)) ),
    inference(superposition,[status(thm)],[c_29683,c_14955]) ).

cnf(c_30082,plain,
    rreal(vf(vd1124,vd1126)),
    inference(forward_subsumption_resolution,[status(thm)],[c_30081,c_14993,c_14992]) ).

cnf(c_30083,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_30082,c_29989,c_23801,c_23800,c_23770,c_21283,c_3421,c_53,c_54,c_49,c_52,c_57,c_59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO280+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n021.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 : Tue Aug 29 19:12:14 EDT 2023
% 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 39.35/6.25  % SZS status Started for theBenchmark.p
% 39.35/6.25  % SZS status Theorem for theBenchmark.p
% 39.35/6.25  
% 39.35/6.25  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 39.35/6.25  
% 39.35/6.25  ------  iProver source info
% 39.35/6.25  
% 39.35/6.25  git: date: 2023-05-31 18:12:56 +0000
% 39.35/6.25  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 39.35/6.25  git: non_committed_changes: false
% 39.35/6.25  git: last_make_outside_of_git: false
% 39.35/6.25  
% 39.35/6.25  ------ Parsing...
% 39.35/6.25  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 39.35/6.25  
% 39.35/6.25  ------ Preprocessing... sup_sim: 1  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 
% 39.35/6.25  
% 39.35/6.25  ------ Preprocessing... gs_s  sp: 14 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 39.35/6.25  
% 39.35/6.25  ------ Preprocessing... sf_s  rm: 8 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 39.35/6.25  ------ Proving...
% 39.35/6.25  ------ Problem Properties 
% 39.35/6.25  
% 39.35/6.25  
% 39.35/6.25  clauses                                 253
% 39.35/6.25  conjectures                             1
% 39.35/6.25  EPR                                     69
% 39.35/6.25  Horn                                    175
% 39.35/6.25  unary                                   20
% 39.35/6.25  binary                                  42
% 39.35/6.25  lits                                    1475
% 39.35/6.25  lits eq                                 175
% 39.35/6.25  fd_pure                                 0
% 39.35/6.25  fd_pseudo                               0
% 39.35/6.25  fd_cond                                 0
% 39.35/6.25  fd_pseudo_cond                          47
% 39.35/6.25  AC symbols                              0
% 39.35/6.25  
% 39.35/6.25  ------ Input Options Time Limit: Unbounded
% 39.35/6.25  
% 39.35/6.25  
% 39.35/6.25  ------ 
% 39.35/6.25  Current options:
% 39.35/6.25  ------ 
% 39.35/6.25  
% 39.35/6.25  
% 39.35/6.25  
% 39.35/6.25  
% 39.35/6.25  ------ Proving...
% 39.35/6.25  
% 39.35/6.25  
% 39.35/6.25  % SZS status Theorem for theBenchmark.p
% 39.35/6.25  
% 39.35/6.25  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.35/6.25  
% 39.35/6.25  
%------------------------------------------------------------------------------