TSTP Solution File: NUM603+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM603+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 : Fri May 3 02:50:08 EDT 2024
% Result : Theorem 7.86s 1.71s
% Output : CNFRefutation 7.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 74 ( 9 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 75 ( 30 ~; 25 |; 15 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
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/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f99,axiom,
( xx = sdtlpdtrp0(xe,xi)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).
fof(f100,conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f101,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(negated_conjecture,[],[f100]) ).
fof(f109,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(flattening,[],[f101]) ).
fof(f145,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f211,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(f212,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,[],[f211]) ).
fof(f214,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f215,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f214]) ).
fof(f371,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f378,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f485,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f212]) ).
fof(f490,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f523,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f99]) ).
fof(f525,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cnf_transformation,[],[f109]) ).
cnf(c_96,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f371]) ).
cnf(c_103,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_210,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnf_transformation,[],[f485]) ).
cnf(c_215,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f490]) ).
cnf(c_249,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f523]) ).
cnf(c_250,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cnf_transformation,[],[f525]) ).
cnf(c_18210,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(sz00,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),xS) ),
inference(superposition,[status(thm)],[c_210,c_215]) ).
cnf(c_18299,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),xS) ),
inference(global_subsumption_just,[status(thm)],[c_18210,c_96,c_103,c_18210]) ).
cnf(c_18310,plain,
~ aElementOf0(xi,szNzAzT0),
inference(superposition,[status(thm)],[c_18299,c_250]) ).
cnf(c_18312,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_249,c_18310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM603+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 2 20:02:00 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 7.86/1.71 % SZS status Started for theBenchmark.p
% 7.86/1.71 % SZS status Theorem for theBenchmark.p
% 7.86/1.71
% 7.86/1.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.86/1.71
% 7.86/1.71 ------ iProver source info
% 7.86/1.71
% 7.86/1.71 git: date: 2024-05-02 19:28:25 +0000
% 7.86/1.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.86/1.71 git: non_committed_changes: false
% 7.86/1.71
% 7.86/1.71 ------ Parsing...
% 7.86/1.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.86/1.71
% 7.86/1.71 ------ 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
% 7.86/1.71
% 7.86/1.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.86/1.71
% 7.86/1.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.86/1.71 ------ Proving...
% 7.86/1.71 ------ Problem Properties
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71 clauses 197
% 7.86/1.71 conjectures 1
% 7.86/1.71 EPR 45
% 7.86/1.71 Horn 158
% 7.86/1.71 unary 39
% 7.86/1.71 binary 32
% 7.86/1.71 lits 652
% 7.86/1.71 lits eq 104
% 7.86/1.71 fd_pure 0
% 7.86/1.71 fd_pseudo 0
% 7.86/1.71 fd_cond 10
% 7.86/1.71 fd_pseudo_cond 25
% 7.86/1.71 AC symbols 0
% 7.86/1.71
% 7.86/1.71 ------ Input Options Time Limit: Unbounded
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71 ------
% 7.86/1.71 Current options:
% 7.86/1.71 ------
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71 ------ Proving...
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71 % SZS status Theorem for theBenchmark.p
% 7.86/1.71
% 7.86/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.86/1.71
% 7.86/1.71
%------------------------------------------------------------------------------