TSTP Solution File: NUM574+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM574+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : Thu Aug 31 11:31:34 EDT 2023
% Result : Theorem 3.59s 1.01s
% Output : CNFRefutation 3.59s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f498)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f83,axiom,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3786) ).
fof(f86,conjecture,
( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f87,negated_conjecture,
~ ( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
inference(negated_conjecture,[],[f86]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f104,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f127,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f127]) ).
fof(f130,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f136,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f137,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f136]) ).
fof(f196,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f81]) ).
fof(f197,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f196]) ).
fof(f203,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi) ),
inference(ennf_transformation,[],[f87]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f215]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f216]) ).
fof(f218,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f217,f218]) ).
fof(f232,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK8(X0)) = X0
& aElementOf0(sK8(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
! [X0] :
( ( szszuzczcdt0(sK8(X0)) = X0
& aElementOf0(sK8(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f128,f232]) ).
fof(f295,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f300,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f333,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f335,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f339,plain,
! [X0] :
( aElementOf0(sK8(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f340,plain,
! [X0] :
( szszuzczcdt0(sK8(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f342,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f348,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f434,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f449,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f197]) ).
fof(f454,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f455,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f458,plain,
sdtlseqdt0(xj,xi),
inference(cnf_transformation,[],[f203]) ).
fof(f459,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f203]) ).
cnf(c_59,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f295]) ).
cnf(c_61,plain,
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f333]) ).
cnf(c_96,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f335]) ).
cnf(c_100,plain,
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(X0)) = X0
| X0 = sz00 ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_101,plain,
( ~ aElementOf0(X0,szNzAzT0)
| X0 = sz00
| aElementOf0(sK8(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_103,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_109,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_196,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f434]) ).
cnf(c_210,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnf_transformation,[],[f449]) ).
cnf(c_215,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f455]) ).
cnf(c_216,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f454]) ).
cnf(c_218,plain,
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xj,xi)
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
inference(cnf_transformation,[],[f498]) ).
cnf(c_219,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f459]) ).
cnf(c_220,negated_conjecture,
sdtlseqdt0(xj,xi),
inference(cnf_transformation,[],[f458]) ).
cnf(c_355,plain,
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_218,c_220,c_219,c_218]) ).
cnf(c_17380,plain,
sdtlseqdt0(sz00,xj),
inference(superposition,[status(thm)],[c_216,c_103]) ).
cnf(c_17504,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(superposition,[status(thm)],[c_196,c_59]) ).
cnf(c_17506,plain,
aSet0(xS),
inference(forward_subsumption_resolution,[status(thm)],[c_17504,c_95]) ).
cnf(c_17768,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| ~ sdtlseqdt0(xj,sz00)
| sz00 = xj ),
inference(superposition,[status(thm)],[c_17380,c_109]) ).
cnf(c_17777,plain,
( ~ sdtlseqdt0(xj,sz00)
| sz00 = xj ),
inference(forward_subsumption_resolution,[status(thm)],[c_17768,c_216,c_96]) ).
cnf(c_19579,plain,
( szszuzczcdt0(sK8(xi)) = xi
| sz00 = xi ),
inference(superposition,[status(thm)],[c_215,c_100]) ).
cnf(c_19942,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| sz00 = xi ),
inference(superposition,[status(thm)],[c_19579,c_355]) ).
cnf(c_20040,plain,
( ~ aElementOf0(xi,szNzAzT0)
| sz00 = xi ),
inference(superposition,[status(thm)],[c_101,c_19942]) ).
cnf(c_20041,plain,
sz00 = xi,
inference(forward_subsumption_resolution,[status(thm)],[c_20040,c_215]) ).
cnf(c_20059,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xN,xj)),
inference(demodulation,[status(thm)],[c_219,c_20041]) ).
cnf(c_20060,plain,
sdtlseqdt0(xj,sz00),
inference(demodulation,[status(thm)],[c_220,c_20041]) ).
cnf(c_20061,plain,
sz00 = xj,
inference(backward_subsumption_resolution,[status(thm)],[c_17777,c_20060]) ).
cnf(c_20080,plain,
~ aSubsetOf0(xS,sdtlpdtrp0(xN,xj)),
inference(light_normalisation,[status(thm)],[c_20059,c_210]) ).
cnf(c_20086,plain,
~ aSubsetOf0(xS,xS),
inference(light_normalisation,[status(thm)],[c_20080,c_210,c_20061]) ).
cnf(c_20087,plain,
~ aSet0(xS),
inference(superposition,[status(thm)],[c_61,c_20086]) ).
cnf(c_20088,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_20087,c_17506]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM574+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : run_iprover %s %d THM
% 0.12/0.29 % Computer : n032.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8042.1875MB
% 0.12/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Fri Aug 25 15:18:58 EDT 2023
% 0.12/0.29 % CPUTime :
% 0.14/0.37 Running first-order theorem proving
% 0.14/0.37 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.59/1.01 % SZS status Started for theBenchmark.p
% 3.59/1.01 % SZS status Theorem for theBenchmark.p
% 3.59/1.01
% 3.59/1.01 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.59/1.01
% 3.59/1.01 ------ iProver source info
% 3.59/1.01
% 3.59/1.01 git: date: 2023-05-31 18:12:56 +0000
% 3.59/1.01 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.59/1.01 git: non_committed_changes: false
% 3.59/1.01 git: last_make_outside_of_git: false
% 3.59/1.01
% 3.59/1.01 ------ Parsing...
% 3.59/1.01 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.59/1.01
% 3.59/1.01 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.59/1.01
% 3.59/1.01 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.59/1.01
% 3.59/1.01 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.59/1.01 ------ Proving...
% 3.59/1.01 ------ Problem Properties
% 3.59/1.01
% 3.59/1.01
% 3.59/1.01 clauses 167
% 3.59/1.01 conjectures 2
% 3.59/1.01 EPR 41
% 3.59/1.01 Horn 128
% 3.59/1.01 unary 27
% 3.59/1.01 binary 22
% 3.59/1.01 lits 586
% 3.59/1.01 lits eq 91
% 3.59/1.01 fd_pure 0
% 3.59/1.01 fd_pseudo 0
% 3.59/1.01 fd_cond 10
% 3.59/1.01 fd_pseudo_cond 24
% 3.59/1.01 AC symbols 0
% 3.59/1.01
% 3.59/1.01 ------ Schedule dynamic 5 is on
% 3.59/1.01
% 3.59/1.01 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.59/1.01
% 3.59/1.01
% 3.59/1.01 ------
% 3.59/1.01 Current options:
% 3.59/1.01 ------
% 3.59/1.01
% 3.59/1.01
% 3.59/1.01
% 3.59/1.01
% 3.59/1.01 ------ Proving...
% 3.59/1.01
% 3.59/1.01
% 3.59/1.01 % SZS status Theorem for theBenchmark.p
% 3.59/1.01
% 3.59/1.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.59/1.01
% 3.59/1.02
%------------------------------------------------------------------------------