%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG105+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 : n005.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 02:39:08 PM UTC 2026
% Result : Theorem 8.23s 1.74s
% Output : CNFRefutation 8.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 53 ( 17 unt; 0 def)
% Number of atoms : 178 ( 39 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 212 ( 87 ~; 82 |; 36 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 57 !; 11 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( X1 = slsdtgt0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& aElementOf0(xx,slsdtgt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).
fof(f40,axiom,
( sdtasdt0(xc,xu) = xx
& aElement0(xu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1956) ).
fof(f41,axiom,
( sdtasdt0(xc,xv) = xy
& aElement0(xv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1979) ).
fof(f42,axiom,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2010) ).
fof(f43,axiom,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2043) ).
fof(f44,conjecture,
( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
& aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f45,negated_conjecture,
~ ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
& aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f50,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f54,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( X1 = slsdtgt0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f62,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f61]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f69,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f68]) ).
fof(f74,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) != X1
| ( ! [X2] :
( ( ~ aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| aElementOf0(X2,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) ) )
| ~ aSet0(X1)
| X1 = slsdtgt0(X0) ) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f75,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) != X1
| ( ! [X2] :
( ( ~ aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| aElementOf0(X2,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) ) )
| ~ aSet0(X1)
| X1 = slsdtgt0(X0) ) ) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) != X1
| ( ! [X5] :
( ( ~ aElementOf0(X5,X1)
| ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) ) )
& ( ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) )
| aElementOf0(X5,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) ) )
& ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) ) )
| ~ aSet0(X1)
| X1 = slsdtgt0(X0) ) ) ),
inference(rectify,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) != X1
| ( ! [X5] :
( ( ~ aElementOf0(X5,X1)
| ( sdtasdt0(X0,sK4(X0,X5)) = X5
& aElement0(sK4(X0,X5)) ) )
& ( ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) )
| aElementOf0(X5,X1) ) )
& aSet0(X1) ) )
& ( ( ( aElementOf0(sK2(X0,X1),X1)
| ( sK2(X0,X1) = sdtasdt0(X0,sK3(X0,X1))
& aElement0(sK3(X0,X1)) ) )
& ( ~ aElementOf0(sK2(X0,X1),X1)
| ! [X3] :
( sdtasdt0(X0,X3) != sK2(X0,X1)
| ~ aElement0(X3) ) ) )
| ~ aSet0(X1)
| X1 = slsdtgt0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X7,sK4(X0,X5))],[f76]) ).
fof(f78,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f79,plain,
aElement0(xz),
inference(cnf_transformation,[],[f39]) ).
fof(f83,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f85,plain,
aElement0(xv),
inference(cnf_transformation,[],[f41]) ).
fof(f86,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(cnf_transformation,[],[f42]) ).
fof(f87,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f43]) ).
fof(f88,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f96,plain,
! [X0,X1,X6,X5] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| sdtasdt0(X0,X6) != X5
| ~ aElement0(X6)
| aElementOf0(X5,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f105,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f116,plain,
! [X0,X1,X6] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| ~ aElement0(X6)
| aElementOf0(sdtasdt0(X0,X6),X1) ),
inference(equality_resolution,[],[f96]) ).
fof(f117,plain,
! [X0,X6] :
( ~ aElement0(X0)
| ~ aElement0(X6)
| aElementOf0(sdtasdt0(X0,X6),slsdtgt0(X0)) ),
inference(equality_resolution,[],[f116]) ).
tcf(c_49,plain,
aElement0(xc),
inference(cnf_transformation,[],[f78]) ).
tcf(c_52,plain,
aElement0(xz),
inference(cnf_transformation,[],[f79]) ).
tcf(c_53,plain,
aElement0(xu),
inference(cnf_transformation,[],[f83]) ).
tcf(c_55,plain,
aElement0(xv),
inference(cnf_transformation,[],[f85]) ).
tcf(c_57,plain,
sdtasdt0(xc,sdtpldt0(xu,xv)) = sdtpldt0(xx,xy),
inference(cnf_transformation,[],[f86]) ).
tcf(c_58,plain,
sdtasdt0(xc,sdtasdt0(xu,xz)) = sdtasdt0(xz,xx),
inference(cnf_transformation,[],[f87]) ).
tcf(c_59,negated_conjecture,
( ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtasdt0(X0,X1),slsdtgt0(X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_1193,plain,
( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ~ aElement0(xc)
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(superposition,[status(thm)],[c_57,c_69]) ).
tcf(c_1194,plain,
( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElement0(xc)
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(superposition,[status(thm)],[c_58,c_69]) ).
tcf(c_1210,plain,
( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1194,c_49]) ).
tcf(c_1213,plain,
( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1193,c_49]) ).
tcf(c_5353,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ),
inference(superposition,[status(thm)],[c_1213,c_59]) ).
tcf(c_5670,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(superposition,[status(thm)],[c_1210,c_5353]) ).
tcf(c_5687,plain,
( ~ aElement0(xv)
| ~ aElement0(xu)
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(superposition,[status(thm)],[c_81,c_5670]) ).
tcf(c_5688,plain,
~ aElement0(sdtasdt0(xu,xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_5687,c_55,c_53]) ).
tcf(c_5689,plain,
( ~ aElement0(xu)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_76,c_5688]) ).
tcf(c_5690,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5689,c_53,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG105+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 08:14:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 8.23/1.74 % SZS status Started for theBenchmark.p
% 8.23/1.74 % SZS status Theorem for theBenchmark.p
% 8.23/1.74
% 8.23/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.23/1.74
% 8.23/1.74 % ------ iProver source info
% 8.23/1.74
% 8.23/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 8.23/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.23/1.74 % git: non_committed_changes: false
% 8.23/1.74
% 8.23/1.74 % ------ Parsing...
% 8.23/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.23/1.74
% 8.23/1.74 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 8.23/1.74
% 8.23/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.23/1.74
% 8.23/1.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.23/1.74 % ------ Proving...
% 8.23/1.74 % ------ Problem Properties
% 8.23/1.74
% 8.23/1.74 %
% 8.23/1.74 % clauses 37
% 8.23/1.74 % conjectures 1
% 8.23/1.74 % EPR 6
% 8.23/1.74 % Horn 31
% 8.23/1.74 % unary 11
% 8.23/1.74 % binary 6
% 8.23/1.74 % lits 104
% 8.23/1.74 % lits eq 27
% 8.23/1.74 % fd_pure 0
% 8.23/1.74 % fd_pseudo 0
% 8.23/1.74 % fd_cond 1
% 8.23/1.74 % fd_pseudo_cond 7
% 8.23/1.74 % AC symbols 0
% 8.23/1.74
% 8.23/1.74 % ------ Schedule dynamic 5 is on
% 8.23/1.74
% 8.23/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.23/1.74
% 8.23/1.74
% 8.23/1.74 % ------
% 8.23/1.74 % Current options:
% 8.23/1.74 % ------
% 8.23/1.74
% 8.23/1.74
% 8.23/1.74 %
% 8.23/1.74
% 8.23/1.74 % ------ Proving...
% 8.23/1.74 %
% 8.23/1.74
% 8.23/1.74 % SZS status Theorem for theBenchmark.p
% 8.23/1.74
% 8.23/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.23/1.74
% 8.23/1.74
%------------------------------------------------------------------------------