%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG124+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 : n004.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 02:39:14 PM UTC 2026
% Result : Theorem 2.09s 1.19s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 40 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 12 |; 10 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f45,axiom,
( ! [X0] :
( ( X0 != sz00
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& xu != sz00
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(f50,axiom,
( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| xr = sz00 )
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& aElement0(xr)
& aElement0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).
fof(f51,axiom,
xr != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2673) ).
fof(f55,axiom,
aElementOf0(xr,xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2729) ).
fof(f116,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& xu != sz00
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f117,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& xu != sz00
& aElementOf0(xu,xI) ),
inference(flattening,[],[f116]) ).
fof(f260,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f269,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr ),
inference(cnf_transformation,[],[f50]) ).
fof(f273,plain,
sz00 != xr,
inference(cnf_transformation,[],[f51]) ).
fof(f277,plain,
aElementOf0(xr,xI),
inference(cnf_transformation,[],[f55]) ).
tcf(c_154,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aElementOf0(X0,xI)
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_164,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| ( sz00 = xr ) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_165,plain,
sz00 != xr,
inference(cnf_transformation,[],[f273]) ).
tcf(c_169,plain,
aElementOf0(xr,xI),
inference(cnf_transformation,[],[f277]) ).
tcf(c_249,plain,
iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
inference(global_subsumption_just,[status(thm)],[c_164,c_165,c_164]) ).
tcf(c_8691,plain,
( ( sz00 = xr )
| ~ aElementOf0(xr,xI) ),
inference(superposition,[status(thm)],[c_249,c_154]) ).
tcf(c_8692,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8691,c_165,c_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG124+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n004.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 08:21:50 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 2.09/1.19 % SZS status Started for theBenchmark.p
% 2.09/1.19 % SZS status Theorem for theBenchmark.p
% 2.09/1.19
% 2.09/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.09/1.19
% 2.09/1.19 % ------ iProver source info
% 2.09/1.19
% 2.09/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 2.09/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.09/1.19 % git: non_committed_changes: false
% 2.09/1.19
% 2.09/1.19 % ------ Parsing...
% 2.09/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.09/1.19
% 2.09/1.19 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.09/1.19
% 2.09/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.09/1.19
% 2.09/1.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.09/1.19 % ------ Proving...
% 2.09/1.19 % ------ Problem Properties
% 2.09/1.19
% 2.09/1.19 %
% 2.09/1.19 % clauses 116
% 2.09/1.19 % conjectures 0
% 2.09/1.19 % EPR 31
% 2.09/1.19 % Horn 92
% 2.09/1.19 % unary 31
% 2.09/1.19 % binary 16
% 2.09/1.19 % lits 359
% 2.09/1.19 % lits eq 54
% 2.09/1.19 % fd_pure 0
% 2.09/1.19 % fd_pseudo 0
% 2.09/1.19 % fd_cond 5
% 2.09/1.19 % fd_pseudo_cond 11
% 2.09/1.19 % AC symbols 0
% 2.09/1.19
% 2.09/1.19 % ------ Schedule dynamic 5 is on
% 2.09/1.19
% 2.09/1.19 % ------ no conjectures: strip conj schedule
% 2.09/1.19
% 2.09/1.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.09/1.19
% 2.09/1.19
% 2.09/1.19 % ------
% 2.09/1.19 % Current options:
% 2.09/1.19 % ------
% 2.09/1.19
% 2.09/1.19
% 2.09/1.19 %
% 2.09/1.19
% 2.09/1.19 % ------ Proving...
% 2.09/1.19 %
% 2.09/1.19
% 2.09/1.19 % SZS status Theorem for theBenchmark.p
% 2.09/1.19
% 2.09/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.09/1.19
% 2.09/1.19
%------------------------------------------------------------------------------