%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM606+3 : 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 : n009.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 02:26:12 PM UTC 2026
% Result : Theorem 10.90s 2.34s
% Output : CNFRefutation 10.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 70 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 26 ~; 15 |; 20 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 17 !; 5 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f98,axiom,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(f100,axiom,
( ~ ( xQ = slcrc0
| ~ ? [X0] : aElementOf0(X0,xQ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f101,conjecture,
( aSubsetOf0(xQ,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f102,negated_conjecture,
~ ( aSubsetOf0(xQ,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ),
inference(negated_conjecture,[status(cth)],[f101]) ).
fof(f122,plain,
( ~ ( xQ = slcrc0
| ~ ? [X1] : aElementOf0(X1,xQ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) ) ),
inference(rectify,[],[f100]) ).
fof(f222,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f250,plain,
( aSubsetOf0(xO,xS)
& ! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f252,plain,
( slcrc0 != xQ
& ? [X1] : aElementOf0(X1,xQ)
& ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f122]) ).
fof(f253,plain,
( slcrc0 != xQ
& ? [X1] : aElementOf0(X1,xQ)
& ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xO) ) ),
inference(flattening,[],[f252]) ).
fof(f254,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
& ? [X0] :
( aElementOf0(X0,xQ)
& ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f102]) ).
fof(f435,plain,
( slcrc0 != xQ
& aElementOf0(sK71,xQ)
& ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xO) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(X1,sK71)],[f253]) ).
fof(f436,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
& aElementOf0(sK72,xQ)
& ~ aElementOf0(sK72,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(X0,sK72)],[f254]) ).
fof(f585,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f828,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f250]) ).
fof(f836,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f435]) ).
fof(f838,plain,
aElementOf0(sK72,xQ),
inference(cnf_transformation,[],[f436]) ).
fof(f839,plain,
~ aElementOf0(sK72,szNzAzT0),
inference(cnf_transformation,[],[f436]) ).
tcf(c_196,plain,
! [X0: $i] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f585]) ).
tcf(c_439,plain,
! [X0: $i] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f828]) ).
tcf(c_446,plain,
! [X0: $i] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f836]) ).
tcf(c_449,negated_conjecture,
~ aElementOf0(sK72,szNzAzT0),
inference(cnf_transformation,[],[f839]) ).
tcf(c_450,negated_conjecture,
aElementOf0(sK72,xQ),
inference(cnf_transformation,[],[f838]) ).
tcf(c_26082,negated_conjecture,
aElementOf0(sK72,xQ),
inference(demodulation,[status(thm)],[c_450]) ).
tcf(c_26083,negated_conjecture,
~ aElementOf0(sK72,szNzAzT0),
inference(demodulation,[status(thm)],[c_449]) ).
tcf(c_31240,plain,
aElementOf0(sK72,xO),
inference(superposition,[status(thm)],[c_26082,c_446]) ).
tcf(c_31263,plain,
aElementOf0(sK72,xS),
inference(superposition,[status(thm)],[c_31240,c_439]) ).
tcf(c_31265,plain,
aElementOf0(sK72,szNzAzT0),
inference(superposition,[status(thm)],[c_31263,c_196]) ).
tcf(c_31266,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_31265,c_26083]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM606+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n009.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 04:52:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 10.90/2.34 % SZS status Started for theBenchmark.p
% 10.90/2.34 % SZS status Theorem for theBenchmark.p
% 10.90/2.34
% 10.90/2.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.90/2.34
% 10.90/2.34 % ------ iProver source info
% 10.90/2.34
% 10.90/2.34 % git: date: 2026-07-19 20:42:38 +0200
% 10.90/2.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.90/2.34 % git: non_committed_changes: false
% 10.90/2.34
% 10.90/2.34 % ------ Parsing...
% 10.90/2.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.90/2.34
% 10.90/2.34 % ------ Preprocessing... sup_sim: 9 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 %
% 10.90/2.34
% 10.90/2.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.90/2.34
% 10.90/2.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.90/2.34 % ------ Proving...
% 10.90/2.34 % ------ Problem Properties
% 10.90/2.34
% 10.90/2.34 %
% 10.90/2.34 % clauses 363
% 10.90/2.34 % conjectures 3
% 10.90/2.34 % EPR 63
% 10.90/2.34 % Horn 289
% 10.90/2.34 % unary 48
% 10.90/2.34 % binary 97
% 10.90/2.34 % lits 1156
% 10.90/2.34 % lits eq 166
% 10.90/2.34 % fd_pure 0
% 10.90/2.34 % fd_pseudo 0
% 10.90/2.34 % fd_cond 10
% 10.90/2.34 % fd_pseudo_cond 39
% 10.90/2.34 % AC symbols 0
% 10.90/2.34
% 10.90/2.34 % ------ Schedule dynamic 5 is on
% 10.90/2.34
% 10.90/2.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.90/2.34
% 10.90/2.34
% 10.90/2.34 % ------
% 10.90/2.34 % Current options:
% 10.90/2.34 % ------
% 10.90/2.34
% 10.90/2.34
% 10.90/2.34 %
% 10.90/2.34
% 10.90/2.34 % ------ Proving...
% 10.90/2.34 %
% 10.90/2.34
% 10.90/2.34 % SZS status Theorem for theBenchmark.p
% 10.90/2.34
% 10.90/2.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.90/2.34
% 10.90/2.34
%------------------------------------------------------------------------------