%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM627+1 : 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 : n026.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 02:26:17 PM UTC 2026
% Result : Theorem 17.62s 3.28s
% Output : CNFRefutation 17.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 83 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 94 ( 44 ~; 39 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
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(f111,axiom,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(f115,axiom,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).
fof(f117,axiom,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5442) ).
fof(f118,axiom,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5461) ).
fof(f158,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f174,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f175,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f174]) ).
fof(f233,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ),
inference(ennf_transformation,[],[f83]) ).
fof(f234,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ),
inference(flattening,[],[f233]) ).
fof(f370,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f383,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f487,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f234]) ).
fof(f535,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f542,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f544,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f117]) ).
fof(f545,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f118]) ).
tcf(c_97,plain,
! [X0: $i] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_263,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f535]) ).
tcf(c_269,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f542]) ).
tcf(c_272,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f544]) ).
tcf(c_273,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f545]) ).
tcf(c_688,plain,
( aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_7926,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_215]) ).
tcf(c_7927,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_215]) ).
tcf(c_9047,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_215,c_272]) ).
tcf(c_9132,plain,
~ sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(global_subsumption_just,[status(thm)],[c_9047,c_269,c_263,c_272,c_688,c_7926]) ).
tcf(c_9134,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm)],[c_111,c_9132]) ).
tcf(c_9135,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9134,c_7927,c_273,c_263,c_269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM627+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.33 % Computer : n026.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Thu Sep 24 05:02:08 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.08/0.33 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 Running first-order theorem proving
% 0.08/0.36 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
% 0.08/0.37
% 0.08/0.37 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.37
% 0.08/0.37 % Detected problem language: tptp
% 0.13/0.38 % Proving...
% 17.62/3.28 % SZS status Started for theBenchmark.p
% 17.62/3.28 % SZS status Theorem for theBenchmark.p
% 17.62/3.28
% 17.62/3.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.62/3.28
% 17.62/3.28 % ------ iProver source info
% 17.62/3.28
% 17.62/3.28 % git: date: 2026-07-19 20:42:38 +0200
% 17.62/3.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.62/3.28 % git: non_committed_changes: false
% 17.62/3.28
% 17.62/3.28 % ------ Parsing...
% 17.62/3.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.62/3.28
% 17.62/3.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 17.62/3.28
% 17.62/3.28 % ------ Preprocessing...%
% 17.62/3.28
% 17.62/3.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.62/3.28 % ------ Proving...
% 17.62/3.28 % ------ Problem Properties
% 17.62/3.28
% 17.62/3.28 %
% 17.62/3.28 % clauses 224
% 17.62/3.28 % conjectures 12
% 17.62/3.28 % EPR 59
% 17.62/3.28 % Horn 185
% 17.62/3.28 % unary 63
% 17.62/3.28 % binary 35
% 17.62/3.28 % lits 686
% 17.62/3.28 % lits eq 107
% 17.62/3.28 % fd_pure 0
% 17.62/3.28 % fd_pseudo 0
% 17.62/3.28 % fd_cond 10
% 17.62/3.28 % fd_pseudo_cond 25
% 17.62/3.28 % AC symbols 0
% 17.62/3.28
% 17.62/3.28 % ------ Input Options Time Limit: Unbounded
% 17.62/3.28
% 17.62/3.28
% 17.62/3.28 % ------
% 17.62/3.28 % Current options:
% 17.62/3.28 % ------
% 17.62/3.28
% 17.62/3.28
% 17.62/3.28 %
% 17.62/3.28
% 17.62/3.28 % ------ Proving...
% 17.62/3.28 %
% 17.62/3.28
% 17.62/3.28 % SZS status Theorem for theBenchmark.p
% 17.62/3.28
% 17.62/3.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.62/3.28
% 17.62/3.28
%------------------------------------------------------------------------------