%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM615+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 02:26:15 PM UTC 2026
% Result : Theorem 7.78s 1.52s
% Output : CNFRefutation 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 9 unt; 2 def)
% Number of atoms : 37 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 12 ~; 7 |; 7 &)
% ( 0 <=>; 0 =>; 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 : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 4 !; 3 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f106,axiom,
? [X0] :
( sdtlpdtrp0(xe,X0) = xp
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).
fof(f111,conjecture,
? [X0] :
( sdtlpdtrp0(xe,X0) = xp
& ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f112,negated_conjecture,
~ ? [X0] :
( sdtlpdtrp0(xe,X0) = xp
& ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
inference(negated_conjecture,[status(cth)],[f111]) ).
fof(f272,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xp
| ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
inference(ennf_transformation,[],[f112]) ).
fof(f456,plain,
( xp = sdtlpdtrp0(xe,sK72)
& aElementOf0(sK72,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(X0,sK72)],[f106]) ).
fof(f875,plain,
xp = sdtlpdtrp0(xe,sK72),
inference(cnf_transformation,[],[f456]) ).
fof(f876,plain,
aElementOf0(sK72,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f456]) ).
fof(f883,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xp
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_467,plain,
aElementOf0(sK72,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f876]) ).
tcf(c_468,plain,
sdtlpdtrp0(xe,sK72) = xp,
inference(cnf_transformation,[],[f875]) ).
tcf(c_476,negated_conjecture,
! [X0: $i] :
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xe,X0) != xp ) ),
inference(cnf_transformation,[],[f883]) ).
tcf(c_26344,definition,
iPr_def_10 = szDzizrdt0(xd),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_26345,definition,
iPr_def_11 = sdtlbdtrb0(xd,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_26347,negated_conjecture,
! [X0: $i] :
( ~ aElementOf0(X0,iPr_def_11)
| ( sdtlpdtrp0(xe,X0) != xp ) ),
inference(demodulation,[status(thm)],[c_476,c_26345]) ).
tcf(c_31575,plain,
aElementOf0(sK72,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_467,c_26344,c_26345]) ).
tcf(c_31577,plain,
~ aElementOf0(sK72,iPr_def_11),
inference(superposition,[status(thm)],[c_468,c_26347]) ).
tcf(c_31578,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_31577,c_31575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM615+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Thu Sep 24 04:55:05 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 7.78/1.52 % SZS status Started for theBenchmark.p
% 7.78/1.52 % SZS status Theorem for theBenchmark.p
% 7.78/1.52
% 7.78/1.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.78/1.52
% 7.78/1.52 % ------ iProver source info
% 7.78/1.52
% 7.78/1.52 % git: date: 2026-07-19 20:42:38 +0200
% 7.78/1.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.78/1.52 % git: non_committed_changes: false
% 7.78/1.52
% 7.78/1.52 % ------ Parsing...
% 7.78/1.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.78/1.52
% 7.78/1.52 % ------ Preprocessing... sup_sim: 14 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 7.78/1.52
% 7.78/1.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.78/1.52
% 7.78/1.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.78/1.52 % ------ Proving...
% 7.78/1.52 % ------ Problem Properties
% 7.78/1.52
% 7.78/1.52 %
% 7.78/1.52 % clauses 385
% 7.78/1.52 % conjectures 1
% 7.78/1.52 % EPR 74
% 7.78/1.52 % Horn 310
% 7.78/1.52 % unary 61
% 7.78/1.52 % binary 104
% 7.78/1.52 % lits 1190
% 7.78/1.52 % lits eq 176
% 7.78/1.52 % fd_pure 0
% 7.78/1.52 % fd_pseudo 0
% 7.78/1.52 % fd_cond 11
% 7.78/1.52 % fd_pseudo_cond 39
% 7.78/1.52 % AC symbols 0
% 7.78/1.52
% 7.78/1.52 % ------ Schedule dynamic 5 is on
% 7.78/1.52
% 7.78/1.52 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.78/1.52
% 7.78/1.52
% 7.78/1.52 % ------
% 7.78/1.52 % Current options:
% 7.78/1.52 % ------
% 7.78/1.52
% 7.78/1.52
% 7.78/1.52 %
% 7.78/1.52
% 7.78/1.52 % ------ Proving...
% 7.78/1.52 %
% 7.78/1.52
% 7.78/1.52 % SZS status Theorem for theBenchmark.p
% 7.78/1.52
% 7.78/1.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.78/1.52
% 7.78/1.52
%------------------------------------------------------------------------------