TSTP Solution File: NUM587+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM587+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 11:31:40 EDT 2023
% Result : Theorem 3.16s 1.15s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 85 ( 4 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 93 ( 37 ~; 31 |; 20 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn; 23 !; 4 ?)
% 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(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aFunction0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f90,axiom,
( aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc)))
& xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4263) ).
fof(f91,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f92,negated_conjecture,
~ aElementOf0(xx,xT),
inference(negated_conjecture,[],[f91]) ).
fof(f100,plain,
~ aElementOf0(xx,xT),
inference(flattening,[],[f92]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f224,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,[],[f107]) ).
fof(f225,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,[],[f224]) ).
fof(f226,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,[],[f225]) ).
fof(f227,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f228,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])],[f226,f227]) ).
fof(f305,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f440,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f447,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f76]) ).
fof(f475,plain,
xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f90]) ).
fof(f476,plain,
aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f90]) ).
fof(f477,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f100]) ).
cnf(c_58,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_193,plain,
aSet0(xT),
inference(cnf_transformation,[],[f440]) ).
cnf(c_197,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f447]) ).
cnf(c_227,plain,
aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f476]) ).
cnf(c_228,plain,
sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xx,
inference(cnf_transformation,[],[f475]) ).
cnf(c_229,negated_conjecture,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f477]) ).
cnf(c_1861,plain,
aElementOf0(xx,sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(light_normalisation,[status(thm)],[c_227,c_228]) ).
cnf(c_17729,plain,
( ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0)
| ~ aSet0(X0)
| aElementOf0(xx,X0) ),
inference(superposition,[status(thm)],[c_1861,c_58]) ).
cnf(c_17806,plain,
( ~ aSet0(xT)
| aElementOf0(xx,xT) ),
inference(superposition,[status(thm)],[c_197,c_17729]) ).
cnf(c_17807,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_17806,c_229,c_193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM587+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 14:42:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.16/1.15 % SZS status Started for theBenchmark.p
% 3.16/1.15 % SZS status Theorem for theBenchmark.p
% 3.16/1.15
% 3.16/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.16/1.15
% 3.16/1.15 ------ iProver source info
% 3.16/1.15
% 3.16/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.16/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.16/1.15 git: non_committed_changes: false
% 3.16/1.15 git: last_make_outside_of_git: false
% 3.16/1.15
% 3.16/1.15 ------ Parsing...
% 3.16/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.16/1.15
% 3.16/1.15 ------ Preprocessing... sup_sim: 2 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
% 3.16/1.15
% 3.16/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.16/1.15
% 3.16/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.16/1.15 ------ Proving...
% 3.16/1.15 ------ Problem Properties
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15 clauses 177
% 3.16/1.15 conjectures 1
% 3.16/1.15 EPR 41
% 3.16/1.15 Horn 138
% 3.16/1.15 unary 32
% 3.16/1.15 binary 23
% 3.16/1.15 lits 609
% 3.16/1.15 lits eq 97
% 3.16/1.15 fd_pure 0
% 3.16/1.15 fd_pseudo 0
% 3.16/1.15 fd_cond 10
% 3.16/1.15 fd_pseudo_cond 25
% 3.16/1.15 AC symbols 0
% 3.16/1.15
% 3.16/1.15 ------ Input Options Time Limit: Unbounded
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15 ------
% 3.16/1.15 Current options:
% 3.16/1.15 ------
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15 ------ Proving...
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15 ------ Proving...
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15 ------ Proving...
% 3.16/1.15
% 3.16/1.15
% 3.16/1.15 % SZS status Theorem for theBenchmark.p
% 3.16/1.15
% 3.16/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.16/1.15
% 3.16/1.15
%------------------------------------------------------------------------------