%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM548+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 : n001.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 02:25:58 PM UTC 2026
% Result : Theorem 3.78s 1.28s
% Output : CNFRefutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 46 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 11 |; 9 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
fof(f65,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& sbrdtbr0(xQ) = xk
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSet0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
fof(f66,conjecture,
isFinite0(xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f67,negated_conjecture,
~ isFinite0(xQ),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f75,plain,
~ isFinite0(xQ),
inference(flattening,[],[f67]) ).
fof(f125,plain,
! [X0] :
( ~ aSet0(X0)
| ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f160,plain,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& sbrdtbr0(xQ) = xk
& aSubsetOf0(xQ,xS)
& ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f189,plain,
! [X0] :
( ~ aSet0(X0)
| ( ( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0) )
& ( ~ isFinite0(X0)
| aElementOf0(sbrdtbr0(X0),szNzAzT0) ) ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f278,plain,
! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f323,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f356,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f160]) ).
fof(f359,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f160]) ).
fof(f360,plain,
~ isFinite0(xQ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_114,plain,
! [X0: $i] :
( isFinite0(X0)
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_158,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f323]) ).
tcf(c_190,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_193,plain,
sbrdtbr0(xQ) = xk,
inference(cnf_transformation,[],[f356]) ).
tcf(c_195,negated_conjecture,
~ isFinite0(xQ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_9229,negated_conjecture,
~ isFinite0(xQ),
inference(demodulation,[status(thm)],[c_195]) ).
tcf(c_11417,plain,
( isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[status(thm)],[c_193,c_114]) ).
tcf(c_11418,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11417,c_9229,c_190,c_158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM548+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 04:39:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 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...
% 3.78/1.28 % SZS status Started for theBenchmark.p
% 3.78/1.28 % SZS status Theorem for theBenchmark.p
% 3.78/1.28
% 3.78/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.78/1.28
% 3.78/1.28 % ------ iProver source info
% 3.78/1.28
% 3.78/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.78/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.78/1.28 % git: non_committed_changes: false
% 3.78/1.28
% 3.78/1.28 % ------ Parsing...
% 3.78/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.78/1.28
% 3.78/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.78/1.28
% 3.78/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.78/1.28
% 3.78/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.78/1.28 % ------ Proving...
% 3.78/1.28 % ------ Problem Properties
% 3.78/1.28
% 3.78/1.28 %
% 3.78/1.28 % clauses 140
% 3.78/1.28 % conjectures 1
% 3.78/1.28 % EPR 38
% 3.78/1.28 % Horn 107
% 3.78/1.28 % unary 24
% 3.78/1.28 % binary 24
% 3.78/1.28 % lits 444
% 3.78/1.28 % lits eq 68
% 3.78/1.28 % fd_pure 0
% 3.78/1.28 % fd_pseudo 0
% 3.78/1.28 % fd_cond 9
% 3.78/1.28 % fd_pseudo_cond 18
% 3.78/1.28 % AC symbols 0
% 3.78/1.28
% 3.78/1.28 % ------ Schedule dynamic 5 is on
% 3.78/1.28
% 3.78/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.78/1.28
% 3.78/1.28
% 3.78/1.28 % ------
% 3.78/1.28 % Current options:
% 3.78/1.28 % ------
% 3.78/1.28
% 3.78/1.28
% 3.78/1.28 %
% 3.78/1.28
% 3.78/1.28 % ------ Proving...
% 3.78/1.28 %
% 3.78/1.28
% 3.78/1.28 % SZS status Theorem for theBenchmark.p
% 3.78/1.28
% 3.78/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.78/1.28
% 3.78/1.28
%------------------------------------------------------------------------------