%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM615+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:26:14 PM UTC 2026
% Result : Theorem 3.43s 1.74s
% Output : CNFRefutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 37 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 9 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 10 !; 4 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f97,axiom,
! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f106,axiom,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).
fof(f111,conjecture,
? [X0] :
( sdtlpdtrp0(xe,X0) = xp
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f112,negated_conjecture,
~ ? [X0] :
( sdtlpdtrp0(xe,X0) = xp
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(negated_conjecture,[status(cth)],[f111]) ).
fof(f143,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f144,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xp
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(ennf_transformation,[],[f112]) ).
fof(f250,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| ( sdtlpdtrp0(xe,sK9(X0)) = X0
& aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sK9(X0),szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f143]) ).
fof(f354,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK9(X0)) = X0 ),
inference(cnf_transformation,[],[f250]) ).
fof(f355,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f250]) ).
fof(f367,plain,
aElementOf0(xp,xO),
inference(cnf_transformation,[],[f106]) ).
fof(f372,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xp
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_102,plain,
! [X0: $i] :
( aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f355]) ).
tcf(c_103,plain,
! [X0: $i] :
( ( sdtlpdtrp0(xe,sK9(X0)) = X0 )
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_114,plain,
aElementOf0(xp,xO),
inference(cnf_transformation,[],[f367]) ).
tcf(c_119,negated_conjecture,
! [X0: $i] :
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xe,X0) != xp ) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_24592,plain,
sdtlpdtrp0(xe,sK9(xp)) = xp,
inference(superposition,[status(thm)],[c_114,c_103]) ).
tcf(c_24599,plain,
~ aElementOf0(sK9(xp),sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(superposition,[status(thm)],[c_24592,c_119]) ).
tcf(c_24604,plain,
~ aElementOf0(xp,xO),
inference(superposition,[status(thm)],[c_102,c_24599]) ).
tcf(c_24605,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_24604,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM615+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 04:56:18 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.43/1.74 % SZS status Started for theBenchmark.p
% 3.43/1.74 % SZS status Theorem for theBenchmark.p
% 3.43/1.74
% 3.43/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.43/1.74
% 3.43/1.74 % ------ iProver source info
% 3.43/1.74
% 3.43/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 3.43/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.43/1.74 % git: non_committed_changes: false
% 3.43/1.74
% 3.43/1.74 % ------ Parsing...
% 3.43/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.43/1.74
% 3.43/1.74 % ------ Preprocessing... sup_sim: 3 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 %
% 3.43/1.74
% 3.43/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.43/1.74
% 3.43/1.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.43/1.74 % ------ Proving...
% 3.43/1.74 % ------ Problem Properties
% 3.43/1.74
% 3.43/1.74 %
% 3.43/1.74 % clauses 200
% 3.43/1.74 % conjectures 1
% 3.43/1.74 % EPR 52
% 3.43/1.74 % Horn 166
% 3.43/1.74 % unary 50
% 3.43/1.74 % binary 33
% 3.43/1.74 % lits 623
% 3.43/1.74 % lits eq 97
% 3.43/1.74 % fd_pure 0
% 3.43/1.74 % fd_pseudo 0
% 3.43/1.74 % fd_cond 8
% 3.43/1.74 % fd_pseudo_cond 23
% 3.43/1.74 % AC symbols 0
% 3.43/1.74
% 3.43/1.74 % ------ Schedule dynamic 5 is on
% 3.43/1.74
% 3.43/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.43/1.74
% 3.43/1.74
% 3.43/1.74 % ------
% 3.43/1.74 % Current options:
% 3.43/1.74 % ------
% 3.43/1.74
% 3.43/1.74
% 3.43/1.74 %
% 3.43/1.74
% 3.43/1.74 % ------ Proving...
% 3.43/1.74 %
% 3.43/1.74
% 3.43/1.74 % SZS status Theorem for theBenchmark.p
% 3.43/1.74
% 3.43/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.43/1.74
% 3.43/1.74
%------------------------------------------------------------------------------