TSTP Solution File: GEO272+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO272+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 23:10:48 EDT 2023
% Result : Theorem 8.20s 1.64s
% Output : CNFRefutation 8.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f762)
% Comments :
%------------------------------------------------------------------------------
fof(f407,plain,
( ? [X0] :
( vd1063 != X0
& rcircle(X0)
& rcenter(vd1057,X0)
& ron(vd1055,X0) )
=> ( vd1063 != sK1
& rcircle(sK1)
& rcenter(vd1057,sK1)
& ron(vd1055,sK1) ) ),
introduced(choice_axiom,[]) ).
cnf(c_51,negated_conjecture,
rcenter(vd1058,sK1),
inference(cnf_transformation,[],[f760]) ).
cnf(c_54,plain,
rcenter(vd1058,vd1063),
inference(cnf_transformation,[],[f762]) ).
cnf(c_55,plain,
ron(vd1056,vd1063),
inference(cnf_transformation,[],[f763]) ).
cnf(c_66,plain,
( ~ rcenter(X0,X1)
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X0,X2) = vf(X0,X3) ),
inference(cnf_transformation,[],[f784]) ).
cnf(c_9117,plain,
( ~ rcenter(X0_13,X0_14)
| ~ ron(X1_13,X0_14)
| ~ ron(X2_13,X0_14)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| vf(X0_13,X1_13) = vf(X0_13,X2_13) ),
inference(subtyping,[status(esa)],[c_66]) ).
cnf(c_15299,plain,
( ~ ron(X0_13,sK1)
| ~ ron(X1_13,sK1)
| ~ rcenter(vd1058,sK1)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| vf(vd1058,X0_13) = vf(vd1058,X1_13) ),
inference(instantiation,[status(thm)],[c_9117]) ).
cnf(c_15330,plain,
( ~ rcenter(vd1058,sK1)
| ~ ron(vd1056,sK1)
| ~ rpoint(vd1056)
| vf(vd1058,vd1056) = vf(vd1058,vd1056) ),
inference(instantiation,[status(thm)],[c_15299]) ).
fof(f7,axiom,
( rpoint(vd1056)
& vd1055 = vd1056
& rpoint(vd1058)
& vd1055 != vd1057
& vd1057 = vd1058 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))') ).
fof(f533,plain,
vd1055 = vd1056,
inference(cnf_transformation,[],[f7]) ).
fof(f9,axiom,
! [X6,X7,X8,X9,X10,X11] :
( ( rpoint(X7)
& X6 = X7
& rcenter(X8,X9)
& rpoint(X11)
& X10 = X11
& ron(X10,X9) )
=> ( vf(X8,X6) = vf(X8,X10)
<=> ron(X6,X9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f784,plain,
! [X2,X3,X1,X5] :
( vf(X2,X1) = vf(X2,X5)
| ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f783]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(X1)
& X0 = X1
& rcenter(X2,X3)
& rpoint(X5)
& X4 = X5
& ron(X4,X3) )
=> ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) ) ),
inference(rectify,[],[f9]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ rpoint(X1)
| X0 != X1
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(ennf_transformation,[],[f111]) ).
fof(f220,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ rpoint(X1)
| X0 != X1
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(flattening,[],[f219]) ).
fof(f412,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3) )
& ( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4) ) )
| ~ rpoint(X1)
| X0 != X1
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(nnf_transformation,[],[f220]) ).
fof(f530,plain,
vd1057 = vd1058,
inference(cnf_transformation,[],[f7]) ).
fof(f534,plain,
rpoint(vd1056),
inference(cnf_transformation,[],[f7]) ).
fof(f538,plain,
! [X2,X3,X0,X1,X4,X5] :
( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(cnf_transformation,[],[f412]) ).
fof(f539,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3)
| ~ rpoint(X1)
| X0 != X1
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(cnf_transformation,[],[f412]) ).
fof(f783,plain,
! [X2,X3,X1,X4,X5] :
( vf(X2,X4) = vf(X2,X1)
| ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(equality_resolution,[],[f539]) ).
fof(f785,plain,
! [X2,X3,X1,X4,X5] :
( ron(X1,X3)
| vf(X2,X4) != vf(X2,X1)
| ~ rpoint(X1)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(equality_resolution,[],[f538]) ).
fof(f10,axiom,
! [X12,X13,X14,X15,X16] :
( ( ? [X18] :
( rpoint(X18)
& X12 = X18 )
& ? [X17] :
( rpoint(X17)
& X13 = X17 )
& rcenter(X14,X15)
& rcenter(X14,X16)
& ron(X12,X15)
& ron(X13,X16)
& vf(X14,X12) = vf(X14,X13) )
=> X15 = X16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f786,plain,
! [X2,X3,X1,X5] :
( ron(X1,X3)
| vf(X2,X1) != vf(X2,X5)
| ~ rpoint(X1)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f785]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& rcenter(X2,X3)
& rcenter(X2,X4)
& ron(X0,X3)
& ron(X1,X4)
& vf(X2,X0) = vf(X2,X1) )
=> X3 = X4 ),
inference(rectify,[],[f10]) ).
fof(f221,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(ennf_transformation,[],[f112]) ).
fof(f222,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(flattening,[],[f221]) ).
fof(f540,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X3 = X4
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f787,plain,
! [X2,X3,X1,X6,X4,X5] :
( X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X5,X3)
| ~ ron(X1,X4)
| vf(X2,X1) != vf(X2,X5) ),
inference(equality_resolution,[],[f540]) ).
fof(f788,plain,
! [X2,X3,X6,X4,X5] :
( X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X5,X3)
| ~ ron(X6,X4)
| vf(X2,X5) != vf(X2,X6) ),
inference(equality_resolution,[],[f787]) ).
cnf(c_60,plain,
rpoint(vd1056),
inference(cnf_transformation,[],[f534]) ).
cnf(c_68,plain,
( vf(X0,X1) != vf(X0,X2)
| ~ rcenter(X0,X3)
| ~ rcenter(X0,X4)
| ~ ron(X1,X3)
| ~ ron(X2,X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X3 = X4 ),
inference(cnf_transformation,[],[f788]) ).
cnf(c_9115,plain,
( vf(X0_13,X1_13) != vf(X0_13,X2_13)
| ~ rcenter(X0_13,X0_14)
| ~ rcenter(X0_13,X1_14)
| ~ ron(X1_13,X1_14)
| ~ ron(X2_13,X0_14)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| X1_14 = X0_14 ),
inference(subtyping,[status(esa)],[c_68]) ).
cnf(c_15297,plain,
( vf(vd1058,X0_13) != vf(vd1058,X1_13)
| ~ ron(X0_13,X0_14)
| ~ rcenter(vd1058,X0_14)
| ~ ron(X1_13,sK1)
| ~ rcenter(vd1058,sK1)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| X0_14 = sK1 ),
inference(instantiation,[status(thm)],[c_9115]) ).
cnf(c_15336,plain,
( ~ ron(X1_13,sK1)
| ~ rcenter(vd1058,X0_14)
| ~ ron(X0_13,X0_14)
| vf(vd1058,X0_13) != vf(vd1058,X1_13)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| X0_14 = sK1 ),
inference(global_subsumption_just,[status(thm)],[c_15297,c_51,c_15297]) ).
cnf(c_15337,plain,
( vf(vd1058,X0_13) != vf(vd1058,X1_13)
| ~ ron(X0_13,X0_14)
| ~ rcenter(vd1058,X0_14)
| ~ ron(X1_13,sK1)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| X0_14 = sK1 ),
inference(renaming,[status(thm)],[c_15336]) ).
cnf(c_15571,plain,
( vf(vd1058,X0_13) != vf(vd1058,X1_13)
| ~ ron(X0_13,X0_14)
| ~ rcenter(vd1058,X0_14)
| ~ ron(X1_13,sK1)
| ~ rcenter(vd1058,sK1)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| X0_14 = sK1 ),
inference(instantiation,[status(thm)],[c_9115]) ).
cnf(c_15602,plain,
( ~ ron(X1_13,sK1)
| ~ rcenter(vd1058,X0_14)
| ~ ron(X0_13,X0_14)
| vf(vd1058,X0_13) != vf(vd1058,X1_13)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| X0_14 = sK1 ),
inference(global_subsumption_just,[status(thm)],[c_15571,c_15337]) ).
cnf(c_15603,plain,
( vf(vd1058,X0_13) != vf(vd1058,X1_13)
| ~ ron(X0_13,X0_14)
| ~ rcenter(vd1058,X0_14)
| ~ ron(X1_13,sK1)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| X0_14 = sK1 ),
inference(renaming,[status(thm)],[c_15602]) ).
cnf(c_15781,plain,
( vf(vd1058,X0_13) != vf(vd1058,X1_13)
| ~ ron(X0_13,vd1063)
| ~ ron(X1_13,sK1)
| ~ rcenter(vd1058,vd1063)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| vd1063 = sK1 ),
inference(instantiation,[status(thm)],[c_15603]) ).
cnf(c_15782,plain,
( vf(vd1058,vd1056) != vf(vd1058,vd1056)
| ~ rcenter(vd1058,vd1063)
| ~ ron(vd1056,vd1063)
| ~ ron(vd1056,sK1)
| ~ rpoint(vd1056)
| vd1063 = sK1 ),
inference(instantiation,[status(thm)],[c_15781]) ).
fof(f1,conjecture,
! [X0] :
( ( rcircle(X0)
& rcenter(vd1057,X0)
& ron(vd1055,X0) )
=> vd1063 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(212), 1), imp(the(212)))') ).
fof(f760,plain,
rcenter(vd1058,sK1),
inference(definition_unfolding,[],[f519,f530]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rcircle(X0)
& rcenter(vd1057,X0)
& ron(vd1055,X0) )
=> vd1063 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f213,plain,
? [X0] :
( vd1063 != X0
& rcircle(X0)
& rcenter(vd1057,X0)
& ron(vd1055,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f214,plain,
? [X0] :
( vd1063 != X0
& rcircle(X0)
& rcenter(vd1057,X0)
& ron(vd1055,X0) ),
inference(flattening,[],[f213]) ).
fof(f408,plain,
( vd1063 != sK1
& rcircle(sK1)
& rcenter(vd1057,sK1)
& ron(vd1055,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f214,f407]) ).
fof(f518,plain,
ron(vd1055,sK1),
inference(cnf_transformation,[],[f408]) ).
fof(f519,plain,
rcenter(vd1057,sK1),
inference(cnf_transformation,[],[f408]) ).
fof(f521,plain,
vd1063 != sK1,
inference(cnf_transformation,[],[f408]) ).
fof(f761,plain,
ron(vd1056,sK1),
inference(definition_unfolding,[],[f518,f533]) ).
cnf(c_49,negated_conjecture,
vd1063 != sK1,
inference(cnf_transformation,[],[f521]) ).
cnf(c_52,negated_conjecture,
ron(vd1056,sK1),
inference(cnf_transformation,[],[f761]) ).
cnf(c_9134,negated_conjecture,
vd1063 != sK1,
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_15783,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15782,c_15330,c_9134,c_54,c_55,c_51,c_52,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO272+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 30 00:21:39 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.20/1.64 % SZS status Started for theBenchmark.p
% 8.20/1.64 % SZS status Theorem for theBenchmark.p
% 8.20/1.64
% 8.20/1.64 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.20/1.64
% 8.20/1.64 ------ iProver source info
% 8.20/1.64
% 8.20/1.64 git: date: 2023-05-31 18:12:56 +0000
% 8.20/1.64 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.20/1.64 git: non_committed_changes: false
% 8.20/1.64 git: last_make_outside_of_git: false
% 8.20/1.64
% 8.20/1.64 ------ Parsing...
% 8.20/1.64 ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.20/1.64
% 8.20/1.64 ------ 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
% 8.20/1.64
% 8.20/1.64 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.20/1.64
% 8.20/1.64 ------ Preprocessing... sf_s rm: 8 0s sf_e sf_s rm: 0 0s sf_e
% 8.20/1.64 ------ Proving...
% 8.20/1.64 ------ Problem Properties
% 8.20/1.64
% 8.20/1.64
% 8.20/1.64 clauses 244
% 8.20/1.64 conjectures 4
% 8.20/1.64 EPR 67
% 8.20/1.64 Horn 171
% 8.20/1.64 unary 15
% 8.20/1.64 binary 42
% 8.20/1.64 lits 1448
% 8.20/1.64 lits eq 161
% 8.20/1.64 fd_pure 0
% 8.20/1.64 fd_pseudo 0
% 8.20/1.64 fd_cond 1
% 8.20/1.64 fd_pseudo_cond 42
% 8.20/1.64 AC symbols 0
% 8.20/1.64
% 8.20/1.64 ------ Input Options Time Limit: Unbounded
% 8.20/1.64
% 8.20/1.64
% 8.20/1.64 ------
% 8.20/1.64 Current options:
% 8.20/1.64 ------
% 8.20/1.64
% 8.20/1.64
% 8.20/1.64
% 8.20/1.64
% 8.20/1.64 ------ Proving...
% 8.20/1.64
% 8.20/1.64
% 8.20/1.64 % SZS status Theorem for theBenchmark.p
% 8.20/1.64
% 8.20/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.20/1.64
% 8.20/1.65
%------------------------------------------------------------------------------