TSTP Solution File: NUM560+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM560+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 11:31:27 EDT 2023
% Result : Theorem 0.46s 1.15s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 89 ( 13 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 103 ( 32 ~; 17 |; 42 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn; 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f69,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
inference(negated_conjecture,[],[f68]) ).
fof(f77,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
=> aElementOf0(X1,szDzozmdt0(xF)) ) ) ),
inference(rectify,[],[f69]) ).
fof(f168,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(ennf_transformation,[],[f77]) ).
fof(f169,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(flattening,[],[f168]) ).
fof(f237,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X0)
| ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(nnf_transformation,[],[f169]) ).
fof(f238,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X0)
| ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(flattening,[],[f237]) ).
fof(f239,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xF))
& aElementOf0(X0,sdtlbdtrb0(xF,xy)) )
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X1)
| ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X1)
& aElementOf0(X1,szDzozmdt0(xF)) )
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(rectify,[],[f238]) ).
fof(f240,plain,
( ? [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xF))
& aElementOf0(X0,sdtlbdtrb0(xF,xy)) )
=> ( ~ aElementOf0(sK17,szDzozmdt0(xF))
& aElementOf0(sK17,sdtlbdtrb0(xF,xy)) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ~ aElementOf0(sK17,szDzozmdt0(xF))
& aElementOf0(sK17,sdtlbdtrb0(xF,xy))
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X1)
| ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X1)
& aElementOf0(X1,szDzozmdt0(xF)) )
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f239,f240]) ).
fof(f367,plain,
! [X1] :
( aElementOf0(X1,szDzozmdt0(xF))
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ),
inference(cnf_transformation,[],[f241]) ).
fof(f370,plain,
aElementOf0(sK17,sdtlbdtrb0(xF,xy)),
inference(cnf_transformation,[],[f241]) ).
fof(f371,plain,
~ aElementOf0(sK17,szDzozmdt0(xF)),
inference(cnf_transformation,[],[f241]) ).
cnf(c_174,negated_conjecture,
~ aElementOf0(sK17,szDzozmdt0(xF)),
inference(cnf_transformation,[],[f371]) ).
cnf(c_175,negated_conjecture,
aElementOf0(sK17,sdtlbdtrb0(xF,xy)),
inference(cnf_transformation,[],[f370]) ).
cnf(c_178,negated_conjecture,
( ~ aElementOf0(X0,sdtlbdtrb0(xF,xy))
| aElementOf0(X0,szDzozmdt0(xF)) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_14190,plain,
aElementOf0(sK17,szDzozmdt0(xF)),
inference(superposition,[status(thm)],[c_175,c_178]) ).
cnf(c_14191,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14190,c_174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM560+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.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 09:23:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.15 % SZS status Started for theBenchmark.p
% 0.46/1.15 % SZS status Theorem for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.15
% 0.46/1.15 ------ iProver source info
% 0.46/1.15
% 0.46/1.15 git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.15 git: non_committed_changes: false
% 0.46/1.15 git: last_make_outside_of_git: false
% 0.46/1.15
% 0.46/1.15 ------ Parsing...
% 0.46/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.46/1.15
% 0.46/1.15 ------ 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
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.46/1.15 ------ Proving...
% 0.46/1.15 ------ Problem Properties
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 clauses 128
% 0.46/1.15 conjectures 7
% 0.46/1.15 EPR 30
% 0.46/1.15 Horn 95
% 0.46/1.15 unary 15
% 0.46/1.15 binary 21
% 0.46/1.15 lits 440
% 0.46/1.15 lits eq 65
% 0.46/1.15 fd_pure 0
% 0.46/1.15 fd_pseudo 0
% 0.46/1.15 fd_cond 10
% 0.46/1.15 fd_pseudo_cond 21
% 0.46/1.15 AC symbols 0
% 0.46/1.15
% 0.46/1.15 ------ Schedule dynamic 5 is on
% 0.46/1.15
% 0.46/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------
% 0.46/1.15 Current options:
% 0.46/1.15 ------
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------ Proving...
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 % SZS status Theorem for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15
% 0.46/1.15
%------------------------------------------------------------------------------