TSTP Solution File: GEO284+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO284+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Mon Jun 24 06:14:22 EDT 2024
% Result : Theorem 9.85s 2.01s
% Output : CNFRefutation 9.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f859)
% Comments :
%------------------------------------------------------------------------------
fof(f481,plain,
! [X0,X1] :
( ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) )
=> ( rcircle(sK3(X0,X1))
& rcenter(X0,sK3(X0,X1))
& ron(X1,sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f486,plain,
! [X0,X1] :
( ? [X2] :
( rline(X2)
& ron(X0,X2)
& ron(X1,X2) )
=> ( rline(sK5(X0,X1))
& ron(X0,sK5(X0,X1))
& ron(X1,sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
cnf(c_49,negated_conjecture,
( ~ ron(vd1130,X0)
| ~ ron(vd1126,X0)
| ~ ron(vd1128,X1)
| ~ rcenter(vd1130,X1)
| ~ rline(X0)
| ~ rcircle(X1) ),
inference(cnf_transformation,[],[f859]) ).
cnf(c_87,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| rcenter(X1,sK3(X1,X0)) ),
inference(cnf_transformation,[],[f939]) ).
cnf(c_88,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ron(X0,sK3(X1,X0)) ),
inference(cnf_transformation,[],[f941]) ).
cnf(c_94,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ron(X1,sK5(X1,X0)) ),
inference(cnf_transformation,[],[f961]) ).
cnf(c_14813,negated_conjecture,
( ~ rcenter(vd1130,X0)
| ~ ron(vd1128,X0)
| ~ rcircle(X0)
| ~ sP10_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_49]) ).
cnf(c_14814,negated_conjecture,
( ~ ron(vd1126,X0)
| ~ ron(vd1130,X0)
| ~ rline(X0)
| ~ sP11_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_49]) ).
cnf(c_14815,negated_conjecture,
( sP10_iProver_def
| sP11_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_49]) ).
cnf(c_14816,negated_conjecture,
( sP10_iProver_def
| sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_14815]) ).
cnf(c_14817,negated_conjecture,
( ~ ron(vd1130,X0)
| ~ ron(vd1126,X0)
| ~ rline(X0)
| ~ sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_14814]) ).
cnf(c_14818,negated_conjecture,
( ~ ron(vd1128,X0)
| ~ rcenter(vd1130,X0)
| ~ rcircle(X0)
| ~ sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_14813]) ).
cnf(c_23752,plain,
( ~ ron(vd1128,sK3(vd1130,X0))
| ~ rcircle(sK3(vd1130,X0))
| ~ rpoint(X0)
| ~ rpoint(vd1130)
| ~ sP10_iProver_def
| X0 = vd1130 ),
inference(superposition,[status(thm)],[c_87,c_14818]) ).
fof(f3,axiom,
vd1123 = vd1129,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(258, 1150, 0)') ).
fof(f606,plain,
vd1127 = vd1128,
inference(cnf_transformation,[],[f13]) ).
fof(f20,axiom,
! [X38,X39] :
( ( ? [X41] :
( rpoint(X41)
& X38 = X41 )
& ? [X40] :
( rpoint(X40)
& X39 = X40 )
& X38 != X39 )
=> ? [X42] :
( rcircle(X42)
& rcenter(X38,X42)
& ron(X39,X42) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f939,plain,
! [X3,X4] :
( rcenter(X3,sK3(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f938]) ).
fof(f34,axiom,
! [X52,X53] :
( ( ? [X55] :
( rpoint(X55)
& X52 = X55 )
& ? [X54] :
( rpoint(X54)
& X53 = X54 )
& X52 != X53 )
=> ? [X56] :
( rline(X56)
& ron(X52,X56)
& ron(X53,X56) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f961,plain,
! [X3,X4] :
( ron(X3,sK5(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f960]) ).
fof(f139,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) ) ),
inference(rectify,[],[f20]) ).
fof(f141,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) ) ),
inference(rectify,[],[f34]) ).
fof(f263,plain,
! [X0,X1] :
( ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f139]) ).
fof(f264,plain,
! [X0,X1] :
( ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f263]) ).
fof(f291,plain,
! [X0,X1] :
( ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f141]) ).
fof(f292,plain,
! [X0,X1] :
( ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f291]) ).
fof(f480,plain,
! [X0,X1] :
( ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(rectify,[],[f264]) ).
fof(f482,plain,
! [X0,X1] :
( ( rcircle(sK3(X0,X1))
& rcenter(X0,sK3(X0,X1))
& ron(X1,sK3(X0,X1)) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f480,f481]) ).
fof(f485,plain,
! [X0,X1] :
( ? [X2] :
( rline(X2)
& ron(X0,X2)
& ron(X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(rectify,[],[f292]) ).
fof(f487,plain,
! [X0,X1] :
( ( rline(sK5(X0,X1))
& ron(X0,sK5(X0,X1))
& ron(X1,sK5(X0,X1)) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f485,f486]) ).
fof(f587,plain,
vd1123 = vd1129,
inference(cnf_transformation,[],[f3]) ).
fof(f604,plain,
vd1129 = vd1130,
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( rpoint(vd1124)
& vd1123 = vd1124
& rpoint(vd1126)
& vd1125 = vd1126
& rpoint(vd1128)
& vd1127 = vd1128
& rpoint(vd1130)
& vd1129 = vd1130
& vd1123 != vd1125
& 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(f858,plain,
vd1123 = vd1130,
inference(definition_unfolding,[],[f587,f604]) ).
fof(f602,plain,
vd1127 != vd1129,
inference(cnf_transformation,[],[f13]) ).
fof(f603,plain,
vd1123 != vd1125,
inference(cnf_transformation,[],[f13]) ).
fof(f605,plain,
rpoint(vd1130),
inference(cnf_transformation,[],[f13]) ).
fof(f607,plain,
rpoint(vd1128),
inference(cnf_transformation,[],[f13]) ).
fof(f608,plain,
vd1125 = vd1126,
inference(cnf_transformation,[],[f13]) ).
fof(f609,plain,
rpoint(vd1126),
inference(cnf_transformation,[],[f13]) ).
fof(f628,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK3(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f482]) ).
fof(f629,plain,
! [X3,X0,X1,X4] :
( rcircle(sK3(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f482]) ).
fof(f650,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK5(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f487]) ).
fof(f651,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK5(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f487]) ).
fof(f652,plain,
! [X3,X0,X1,X4] :
( rline(sK5(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f487]) ).
fof(f874,plain,
vd1130 != vd1126,
inference(definition_unfolding,[],[f603,f858,f608]) ).
fof(f875,plain,
vd1130 != vd1128,
inference(definition_unfolding,[],[f602,f606,f604]) ).
fof(f936,plain,
! [X3,X1,X4] :
( rcircle(sK3(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f629]) ).
fof(f937,plain,
! [X3,X4] :
( rcircle(sK3(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f936]) ).
fof(f938,plain,
! [X3,X1,X4] :
( rcenter(X3,sK3(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f628]) ).
fof(f958,plain,
! [X3,X1,X4] :
( rline(sK5(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f652]) ).
fof(f959,plain,
! [X3,X4] :
( rline(sK5(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f958]) ).
fof(f960,plain,
! [X3,X1,X4] :
( ron(X3,sK5(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f651]) ).
fof(f962,plain,
! [X3,X1,X4] :
( ron(X1,sK5(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f650]) ).
fof(f963,plain,
! [X3,X4] :
( ron(X4,sK5(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f962]) ).
cnf(c_65,plain,
rpoint(vd1126),
inference(cnf_transformation,[],[f609]) ).
cnf(c_66,plain,
rpoint(vd1128),
inference(cnf_transformation,[],[f607]) ).
cnf(c_67,plain,
rpoint(vd1130),
inference(cnf_transformation,[],[f605]) ).
cnf(c_68,plain,
vd1130 != vd1126,
inference(cnf_transformation,[],[f874]) ).
cnf(c_69,plain,
vd1130 != vd1128,
inference(cnf_transformation,[],[f875]) ).
cnf(c_86,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| rcircle(sK3(X1,X0)) ),
inference(cnf_transformation,[],[f937]) ).
cnf(c_93,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| rline(sK5(X1,X0)) ),
inference(cnf_transformation,[],[f959]) ).
cnf(c_95,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ron(X0,sK5(X1,X0)) ),
inference(cnf_transformation,[],[f963]) ).
cnf(c_22286,plain,
( ~ rpoint(vd1130)
| ~ rpoint(vd1126)
| vd1130 = vd1126
| rline(sK5(vd1126,vd1130)) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_23765,plain,
( ~ ron(vd1128,sK3(vd1130,X0))
| ~ rcircle(sK3(vd1130,X0))
| ~ rpoint(X0)
| ~ sP10_iProver_def
| X0 = vd1130 ),
inference(forward_subsumption_resolution,[status(thm)],[c_23752,c_67]) ).
cnf(c_23865,plain,
( ~ rcircle(sK3(vd1130,vd1128))
| ~ rpoint(vd1130)
| ~ rpoint(vd1128)
| ~ sP10_iProver_def
| vd1130 = vd1128 ),
inference(superposition,[status(thm)],[c_88,c_23765]) ).
cnf(c_23866,plain,
( ~ rcircle(sK3(vd1130,vd1128))
| ~ sP10_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_23865,c_69,c_66,c_67]) ).
cnf(c_23883,plain,
( ~ rpoint(vd1130)
| ~ rpoint(vd1128)
| ~ sP10_iProver_def
| vd1130 = vd1128 ),
inference(superposition,[status(thm)],[c_86,c_23866]) ).
cnf(c_23884,plain,
~ sP10_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_23883,c_69,c_66,c_67]) ).
cnf(c_23885,plain,
sP11_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_14816,c_23884]) ).
cnf(c_23887,plain,
( ~ ron(vd1130,X0)
| ~ ron(vd1126,X0)
| ~ rline(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14817,c_23885]) ).
cnf(c_23956,plain,
( ~ ron(vd1126,sK5(X0,vd1130))
| ~ rline(sK5(X0,vd1130))
| ~ rpoint(X0)
| ~ rpoint(vd1130)
| X0 = vd1130 ),
inference(superposition,[status(thm)],[c_95,c_23887]) ).
cnf(c_23964,plain,
( ~ ron(vd1126,sK5(X0,vd1130))
| ~ rline(sK5(X0,vd1130))
| ~ rpoint(X0)
| X0 = vd1130 ),
inference(forward_subsumption_resolution,[status(thm)],[c_23956,c_67]) ).
cnf(c_24164,plain,
( ~ rline(sK5(vd1126,vd1130))
| ~ rpoint(vd1130)
| ~ rpoint(vd1126)
| vd1130 = vd1126 ),
inference(superposition,[status(thm)],[c_94,c_23964]) ).
cnf(c_24165,plain,
~ rline(sK5(vd1126,vd1130)),
inference(forward_subsumption_resolution,[status(thm)],[c_24164,c_68,c_65,c_67]) ).
cnf(c_24166,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_24165,c_22286,c_68,c_65,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : GEO284+1 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.09 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri Jun 21 09:23:39 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.14/0.37 Running first-order theorem proving
% 0.14/0.37 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
% 9.85/2.01 % SZS status Started for theBenchmark.p
% 9.85/2.01 % SZS status Theorem for theBenchmark.p
% 9.85/2.01
% 9.85/2.01 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.85/2.01
% 9.85/2.01 ------ iProver source info
% 9.85/2.01
% 9.85/2.01 git: date: 2024-06-12 09:56:46 +0000
% 9.85/2.01 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 9.85/2.01 git: non_committed_changes: false
% 9.85/2.01
% 9.85/2.01 ------ Parsing...
% 9.85/2.01 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.85/2.01
% 9.85/2.01 ------ Preprocessing... sup_sim: 2 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
% 9.85/2.01
% 9.85/2.01 ------ Preprocessing... gs_s sp: 16 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.85/2.01
% 9.85/2.01 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 9.85/2.01 ------ Proving...
% 9.85/2.01 ------ Problem Properties
% 9.85/2.01
% 9.85/2.01
% 9.85/2.01 clauses 245
% 9.85/2.01 conjectures 3
% 9.85/2.01 EPR 62
% 9.85/2.01 Horn 166
% 9.85/2.01 unary 9
% 9.85/2.01 binary 43
% 9.85/2.01 lits 1474
% 9.85/2.01 lits eq 173
% 9.85/2.01 fd_pure 0
% 9.85/2.01 fd_pseudo 0
% 9.85/2.01 fd_cond 0
% 9.85/2.01 fd_pseudo_cond 47
% 9.85/2.01 AC symbols 0
% 9.85/2.01
% 9.85/2.01 ------ Schedule dynamic 5 is on
% 9.85/2.01
% 9.85/2.01 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.85/2.01
% 9.85/2.01
% 9.85/2.01 ------
% 9.85/2.01 Current options:
% 9.85/2.01 ------
% 9.85/2.01
% 9.85/2.01
% 9.85/2.01
% 9.85/2.01
% 9.85/2.01 ------ Proving...
% 9.85/2.01
% 9.85/2.01
% 9.85/2.01 % SZS status Theorem for theBenchmark.p
% 9.85/2.01
% 9.85/2.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.85/2.01
% 9.85/2.01
%------------------------------------------------------------------------------