%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM602+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 : n002.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 02:26:11 PM UTC 2026
% Result : Theorem 4.42s 1.30s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 39 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 16 ~; 11 |; 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/sandbox/benchmark/theBenchmark.p',m__4982) ).
fof(f98,axiom,
aElementOf0(xx,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5009) ).
fof(f99,conjecture,
? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f100,negated_conjecture,
~ ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f99]) ).
fof(f230,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f231,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f300,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| ( sdtlpdtrp0(xe,sK28(X0)) = X0
& aElementOf0(sK28(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sK28(X0),szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X1,sK28(X0))],[f230]) ).
fof(f496,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK28(X0)) = X0 ),
inference(cnf_transformation,[],[f300]) ).
fof(f498,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(sK28(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f499,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[],[f98]) ).
fof(f500,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_244,plain,
! [X0: $i] :
( aElementOf0(sK28(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f498]) ).
tcf(c_246,plain,
! [X0: $i] :
( ( sdtlpdtrp0(xe,sK28(X0)) = X0 )
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f496]) ).
tcf(c_247,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[],[f499]) ).
tcf(c_248,negated_conjecture,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ( sdtlpdtrp0(xe,X0) != xx ) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_3855,plain,
( ~ aElementOf0(sK28(xx),szNzAzT0)
| ( sdtlpdtrp0(xe,sK28(xx)) != xx ) ),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_4504,plain,
sdtlpdtrp0(xe,sK28(xx)) = xx,
inference(superposition,[status(thm)],[c_247,c_246]) ).
tcf(c_5078,plain,
( aElementOf0(sK28(xx),szNzAzT0)
| ~ aElementOf0(xx,xO) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_5079,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5078,c_4504,c_3855,c_247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM602+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 04:54:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.42/1.30 % SZS status Started for theBenchmark.p
% 4.42/1.30 % SZS status Theorem for theBenchmark.p
% 4.42/1.30
% 4.42/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.42/1.30
% 4.42/1.30 % ------ iProver source info
% 4.42/1.30
% 4.42/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.42/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.42/1.30 % git: non_committed_changes: false
% 4.42/1.30
% 4.42/1.30 % ------ Parsing...
% 4.42/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.42/1.30
% 4.42/1.30 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 pe_s pe_e %
% 4.42/1.30
% 4.42/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 4 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 4.42/1.30
% 4.42/1.30 % ------ Preprocessing...
% 4.42/1.30 % ------ Proving...
% 4.42/1.30 % ------ Problem Properties
% 4.42/1.30
% 4.42/1.30 %
% 4.42/1.30 % clauses 203
% 4.42/1.30 % conjectures 1
% 4.42/1.30 % EPR 50
% 4.42/1.30 % Horn 160
% 4.42/1.30 % unary 36
% 4.42/1.30 % binary 41
% 4.42/1.30 % lits 673
% 4.42/1.30 % lits eq 104
% 4.42/1.30 % fd_pure 0
% 4.42/1.30 % fd_pseudo 0
% 4.42/1.30 % fd_cond 10
% 4.42/1.30 % fd_pseudo_cond 25
% 4.42/1.30 % AC symbols 0
% 4.42/1.30
% 4.42/1.30 % ------ Input Options Time Limit: Unbounded
% 4.42/1.30
% 4.42/1.30
% 4.42/1.30 % ------
% 4.42/1.30 % Current options:
% 4.42/1.30 % ------
% 4.42/1.30
% 4.42/1.30
% 4.42/1.30 %
% 4.42/1.30
% 4.42/1.30 % ------ Proving...
% 4.42/1.30 %
% 4.42/1.30
% 4.42/1.30 % SZS status Theorem for theBenchmark.p
% 4.42/1.30
% 4.42/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.42/1.30
% 4.42/1.30
%------------------------------------------------------------------------------