TSTP Solution File: GEO278+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO278+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : Wed Aug 30 23:10:50 EDT 2023
% Result : Theorem 9.56s 2.15s
% Output : CNFRefutation 9.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f976)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
? [X1] :
( rpoint(X1)
& vd1080 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).
fof(f18,axiom,
? [X13] :
( rpoint(X13)
& vd1081 = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(224)))') ).
fof(f132,plain,
? [X0] :
( rpoint(X0)
& vd1080 = X0 ),
inference(rectify,[],[f10]) ).
fof(f135,plain,
? [X0] :
( rpoint(X0)
& vd1081 = X0 ),
inference(rectify,[],[f18]) ).
fof(f444,plain,
( ? [X0] :
( vd1102 != X0
& rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) )
=> ( vd1102 != sK1
& rcircle(sK1)
& rcenter(vd1089,sK1)
& ron(vd1096,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f446,plain,
( ? [X0] :
( rpoint(X0)
& vd1080 = X0 )
=> ( rpoint(sK2)
& vd1080 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f447,plain,
( rpoint(sK2)
& vd1080 = sK2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f132,f446]) ).
fof(f451,plain,
( ? [X0] :
( rpoint(X0)
& vd1081 = X0 )
=> ( rpoint(sK4)
& vd1081 = sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f452,plain,
( rpoint(sK4)
& vd1081 = sK4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f135,f451]) ).
fof(f547,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
=> ( rreal(sK47(X0,X1))
& vf(X0,X1) = sK47(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f574,plain,
vd1080 = sK2,
inference(cnf_transformation,[],[f447]) ).
fof(f588,plain,
vd1081 = sK4,
inference(cnf_transformation,[],[f452]) ).
cnf(c_51,negated_conjecture,
rcenter(vd1089,sK1),
inference(cnf_transformation,[],[f560]) ).
cnf(c_54,plain,
rcenter(vd1089,vd1102),
inference(cnf_transformation,[],[f564]) ).
cnf(c_55,plain,
ron(vd1096,vd1102),
inference(cnf_transformation,[],[f563]) ).
cnf(c_61,plain,
rpoint(vd1096),
inference(cnf_transformation,[],[f572]) ).
cnf(c_124,plain,
( vf(X0,X1) != vf(X0,X2)
| ~ rcenter(X0,X3)
| ~ rcenter(X0,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X3 = X4 ),
inference(cnf_transformation,[],[f964]) ).
cnf(c_132,plain,
( ~ rless(X0,X1)
| ~ rless(X1,X0)
| ~ rreal(X0)
| ~ rreal(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f976]) ).
cnf(c_133,plain,
( ~ rreal(X0)
| ~ rreal(X1)
| X0 = X1
| rless(X0,X1)
| rless(X1,X0) ),
inference(cnf_transformation,[],[f978]) ).
cnf(c_283,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| rreal(sK47(X1,X0)) ),
inference(cnf_transformation,[],[f1425]) ).
cnf(c_9100,plain,
( ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| rreal(sK47(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_283]) ).
cnf(c_9241,plain,
( ~ rreal(X0_15)
| ~ rreal(X1_15)
| X0_15 = X1_15
| rless(X0_15,X1_15)
| rless(X1_15,X0_15) ),
inference(subtyping,[status(esa)],[c_133]) ).
cnf(c_9242,plain,
( ~ rless(X0_15,X1_15)
| ~ rless(X1_15,X0_15)
| ~ rreal(X0_15)
| ~ rreal(X1_15)
| X0_15 = X1_15 ),
inference(subtyping,[status(esa)],[c_132]) ).
cnf(c_9250,plain,
( vf(X0_13,X1_13) != vf(X0_13,X2_13)
| ~ rcenter(X0_13,X0_14)
| ~ rcenter(X0_13,X1_14)
| ~ ron(X1_13,X0_14)
| ~ ron(X2_13,X1_14)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| X1_14 = X0_14 ),
inference(subtyping,[status(esa)],[c_124]) ).
cnf(c_9313,plain,
rpoint(vd1096),
inference(subtyping,[status(esa)],[c_61]) ).
cnf(c_15663,plain,
( vf(X0_13,X1_13) != vf(X0_13,X2_13)
| ~ rcenter(X0_13,vd1102)
| ~ rcenter(X0_13,sK1)
| ~ ron(X1_13,sK1)
| ~ ron(X2_13,vd1102)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| vd1102 = sK1 ),
inference(instantiation,[status(thm)],[c_9250]) ).
cnf(c_16178,plain,
( vf(X0_13,X1_13) != vf(X0_13,vd1096)
| ~ rcenter(X0_13,vd1102)
| ~ rcenter(X0_13,sK1)
| ~ ron(X1_13,sK1)
| ~ ron(vd1096,vd1102)
| ~ rpoint(X1_13)
| ~ rpoint(vd1096)
| vd1102 = sK1 ),
inference(instantiation,[status(thm)],[c_15663]) ).
cnf(c_16686,plain,
( vf(vd1089,X0_13) != vf(vd1089,vd1096)
| ~ ron(X0_13,sK1)
| ~ rcenter(vd1089,vd1102)
| ~ rcenter(vd1089,sK1)
| ~ ron(vd1096,vd1102)
| ~ rpoint(X0_13)
| ~ rpoint(vd1096)
| vd1102 = sK1 ),
inference(instantiation,[status(thm)],[c_16178]) ).
cnf(c_20931,plain,
( vf(vd1089,vd1096) != vf(vd1089,vd1096)
| ~ rcenter(vd1089,vd1102)
| ~ rcenter(vd1089,sK1)
| ~ ron(vd1096,vd1102)
| ~ ron(vd1096,sK1)
| ~ rpoint(vd1096)
| vd1102 = sK1 ),
inference(instantiation,[status(thm)],[c_16686]) ).
cnf(c_23569,plain,
( ~ rless(vf(vd1089,vd1096),vf(vd1089,vd1096))
| ~ rreal(vf(vd1089,vd1096))
| vf(vd1089,vd1096) = vf(vd1089,vd1096) ),
inference(instantiation,[status(thm)],[c_9242]) ).
cnf(c_23570,plain,
( ~ rreal(vf(vd1089,vd1096))
| vf(vd1089,vd1096) = vf(vd1089,vd1096)
| rless(vf(vd1089,vd1096),vf(vd1089,vd1096)) ),
inference(instantiation,[status(thm)],[c_9241]) ).
fof(f1,conjecture,
! [X0] :
( ( rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) )
=> vd1102 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(231), 1), imp(the(231)))') ).
fof(f560,plain,
rcenter(vd1089,sK1),
inference(cnf_transformation,[],[f445]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) )
=> vd1102 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f6,axiom,
( rline(vskolem1099)
& ron(vd1089,vskolem1099)
& ron(vd1085,vskolem1099) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','replace(replace(and(pred(s2(plural(the(230))), 0), and(pred(s1(plural(the(230))), 0), pred(the(230), 0)))))') ).
fof(f569,plain,
ron(vd1089,vskolem1099),
inference(cnf_transformation,[],[f6]) ).
fof(f24,axiom,
( rline(vskolem1092)
& ron(vd1080,vskolem1092)
& ron(vd1089,vskolem1092) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','replace(replace(and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))))') ).
fof(f837,plain,
ron(sK2,vskolem1092),
inference(definition_unfolding,[],[f598,f574]) ).
fof(f26,axiom,
vd1085 != vd1081,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(225), 1088, 0)') ).
fof(f597,plain,
ron(vd1089,vskolem1092),
inference(cnf_transformation,[],[f24]) ).
fof(f116,axiom,
! [X601,X602] :
( ( ? [X604] :
( rpoint(X604)
& X601 = X604 )
& ? [X603] :
( rpoint(X603)
& X602 = X603 ) )
=> ? [X605] :
( rreal(X605)
& vf(X601,X602) = X605 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f1425,plain,
! [X3,X4] :
( rreal(sK47(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1424]) ).
fof(f220,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 ) ),
inference(rectify,[],[f116]) ).
fof(f240,plain,
? [X0] :
( vd1102 != X0
& rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f241,plain,
? [X0] :
( vd1102 != X0
& rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) ),
inference(flattening,[],[f240]) ).
fof(f414,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f220]) ).
fof(f415,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f414]) ).
fof(f445,plain,
( vd1102 != sK1
& rcircle(sK1)
& rcenter(vd1089,sK1)
& ron(vd1096,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f241,f444]) ).
fof(f546,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(rectify,[],[f415]) ).
fof(f548,plain,
! [X0,X1] :
( ( rreal(sK47(X0,X1))
& vf(X0,X1) = sK47(X0,X1) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f546,f547]) ).
fof(f559,plain,
ron(vd1096,sK1),
inference(cnf_transformation,[],[f445]) ).
fof(f562,plain,
vd1102 != sK1,
inference(cnf_transformation,[],[f445]) ).
fof(f568,plain,
ron(vd1085,vskolem1099),
inference(cnf_transformation,[],[f6]) ).
fof(f598,plain,
ron(vd1080,vskolem1092),
inference(cnf_transformation,[],[f24]) ).
fof(f601,plain,
vd1085 != vd1081,
inference(cnf_transformation,[],[f26]) ).
fof(f800,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK47(X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f548]) ).
fof(f801,plain,
! [X3,X0,X1,X4] :
( rreal(sK47(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f548]) ).
fof(f1424,plain,
! [X3,X1,X4] :
( rreal(sK47(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f801]) ).
fof(f1426,plain,
! [X3,X1,X4] :
( sK47(X3,X1) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f800]) ).
fof(f1427,plain,
! [X3,X4] :
( vf(X3,X4) = sK47(X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1426]) ).
cnf(c_49,negated_conjecture,
vd1102 != sK1,
inference(cnf_transformation,[],[f562]) ).
cnf(c_52,negated_conjecture,
ron(vd1096,sK1),
inference(cnf_transformation,[],[f559]) ).
cnf(c_284,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X0) = sK47(X1,X0) ),
inference(cnf_transformation,[],[f1427]) ).
cnf(c_9099,plain,
( ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| vf(X1_13,X0_13) = sK47(X1_13,X0_13) ),
inference(subtyping,[status(esa)],[c_284]) ).
cnf(c_9325,negated_conjecture,
vd1102 != sK1,
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_21766,plain,
( ~ rpoint(X0_13)
| vf(X0_13,vd1096) = sK47(X0_13,vd1096) ),
inference(superposition,[status(thm)],[c_9313,c_9099]) ).
fof(f25,axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(225, 4)') ).
fof(f602,plain,
vd1085 != vd1080,
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(225), 1087, 0)') ).
fof(f838,plain,
vd1086 != sK4,
inference(definition_unfolding,[],[f601,f600,f588]) ).
fof(f600,plain,
vd1085 = vd1086,
inference(cnf_transformation,[],[f25]) ).
fof(f7,axiom,
rR(vd1080,vd1089,vd1096),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(comma_conjunct2(229)), 1097, 0)') ).
fof(f826,plain,
ron(vd1086,vskolem1099),
inference(definition_unfolding,[],[f568,f600]) ).
fof(f571,plain,
rR(vd1080,vd1089,vd1096),
inference(cnf_transformation,[],[f7]) ).
fof(f8,axiom,
rpoint(vd1096),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(229, 0)') ).
fof(f827,plain,
rR(sK2,vd1089,vd1096),
inference(definition_unfolding,[],[f571,f574]) ).
fof(f9,axiom,
rpoint(vd1089),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(226, 0)') ).
fof(f572,plain,
rpoint(vd1096),
inference(cnf_transformation,[],[f8]) ).
fof(f573,plain,
rpoint(vd1089),
inference(cnf_transformation,[],[f9]) ).
cnf(c_62,plain,
rpoint(vd1089),
inference(cnf_transformation,[],[f573]) ).
cnf(c_9312,plain,
rpoint(vd1089),
inference(subtyping,[status(esa)],[c_62]) ).
cnf(c_22205,plain,
vf(vd1089,vd1096) = sK47(vd1089,vd1096),
inference(superposition,[status(thm)],[c_9312,c_21766]) ).
cnf(c_23468,plain,
( ~ rpoint(vd1089)
| ~ rpoint(vd1096)
| rreal(vf(vd1089,vd1096)) ),
inference(superposition,[status(thm)],[c_22205,c_9100]) ).
cnf(c_23571,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_23569,c_23570,c_23468,c_20931,c_9325,c_54,c_55,c_51,c_52,c_61,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO278+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n004.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 23:59:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.56/2.15 % SZS status Started for theBenchmark.p
% 9.56/2.15 % SZS status Theorem for theBenchmark.p
% 9.56/2.15
% 9.56/2.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.56/2.15
% 9.56/2.15 ------ iProver source info
% 9.56/2.15
% 9.56/2.15 git: date: 2023-05-31 18:12:56 +0000
% 9.56/2.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.56/2.15 git: non_committed_changes: false
% 9.56/2.15 git: last_make_outside_of_git: false
% 9.56/2.15
% 9.56/2.15 ------ Parsing...
% 9.56/2.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.56/2.15
% 9.56/2.15 ------ 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
% 9.56/2.15
% 9.56/2.15 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.56/2.15
% 9.56/2.15 ------ Preprocessing... sf_s rm: 11 0s sf_e sf_s rm: 0 0s sf_e
% 9.56/2.15 ------ Proving...
% 9.56/2.15 ------ Problem Properties
% 9.56/2.15
% 9.56/2.15
% 9.56/2.15 clauses 265
% 9.56/2.15 conjectures 4
% 9.56/2.15 EPR 83
% 9.56/2.15 Horn 189
% 9.56/2.15 unary 31
% 9.56/2.15 binary 42
% 9.56/2.15 lits 1484
% 9.56/2.15 lits eq 172
% 9.56/2.15 fd_pure 0
% 9.56/2.15 fd_pseudo 0
% 9.56/2.15 fd_cond 3
% 9.56/2.15 fd_pseudo_cond 45
% 9.56/2.15 AC symbols 0
% 9.56/2.15
% 9.56/2.15 ------ Input Options Time Limit: Unbounded
% 9.56/2.15
% 9.56/2.15
% 9.56/2.15 ------
% 9.56/2.15 Current options:
% 9.56/2.15 ------
% 9.56/2.15
% 9.56/2.15
% 9.56/2.15
% 9.56/2.15
% 9.56/2.15 ------ Proving...
% 9.56/2.15
% 9.56/2.15
% 9.56/2.15 % SZS status Theorem for theBenchmark.p
% 9.56/2.15
% 9.56/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.56/2.15
% 9.56/2.15
%------------------------------------------------------------------------------