%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG105+2 : 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 : n015.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 02:39:09 PM UTC 2026
% Result : Theorem 3.41s 1.36s
% Output : CNFRefutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 20 unt; 2 def)
% Number of atoms : 138 ( 34 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 136 ( 55 ~; 46 |; 33 &)
% ( 0 <=>; 2 =>; 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 : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 30 !; 10 ?; 10 :)
% 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(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xx
& aElement0(X0) ) ),
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))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtasdt0(xz,xx)
& aElement0(X0) ) )
& ( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtpldt0(xx,xy)
& aElement0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f45,negated_conjecture,
~ ( ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtasdt0(xz,xx)
& aElement0(X0) ) )
& ( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtpldt0(xx,xy)
& aElement0(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f53,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X1] :
( xy = sdtasdt0(xc,X1)
& aElement0(X1) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xx
& aElement0(X0) ) ),
inference(rectify,[],[f39]) ).
fof(f54,plain,
~ ( ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ? [X1] :
( sdtasdt0(xz,xx) = sdtasdt0(xc,X1)
& aElement0(X1) ) )
& ( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtpldt0(xx,xy)
& aElement0(X0) ) ) ),
inference(rectify,[],[f45]) ).
fof(f58,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f59,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f60]) ).
fof(f105,plain,
( ( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
& ! [X1] :
( sdtasdt0(xz,xx) != sdtasdt0(xc,X1)
| ~ aElement0(X1) ) )
| ( ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
& ! [X0] :
( sdtasdt0(xc,X0) != sdtpldt0(xx,xy)
| ~ aElement0(X0) ) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f142,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& xy = sdtasdt0(xc,sK23)
& aElement0(sK23)
& aElementOf0(xx,slsdtgt0(xc))
& xx = sdtasdt0(xc,sK22)
& aElement0(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X0,sK22),skolemize(X1,sK23)],[f53]) ).
fof(f146,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f147,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f233,plain,
aElement0(xz),
inference(cnf_transformation,[],[f142]) ).
fof(f241,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f243,plain,
aElement0(xv),
inference(cnf_transformation,[],[f41]) ).
fof(f244,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(cnf_transformation,[],[f42]) ).
fof(f245,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f43]) ).
fof(f249,plain,
! [X0,X1] :
( sdtasdt0(xz,xx) != sdtasdt0(xc,X1)
| ~ aElement0(X1)
| sdtasdt0(xc,X0) != sdtpldt0(xx,xy)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_145,plain,
aElement0(xz),
inference(cnf_transformation,[],[f233]) ).
tcf(c_146,plain,
aElement0(xu),
inference(cnf_transformation,[],[f241]) ).
tcf(c_148,plain,
aElement0(xv),
inference(cnf_transformation,[],[f243]) ).
tcf(c_150,plain,
sdtasdt0(xc,sdtpldt0(xu,xv)) = sdtpldt0(xx,xy),
inference(cnf_transformation,[],[f244]) ).
tcf(c_151,plain,
sdtasdt0(xc,sdtasdt0(xu,xz)) = sdtasdt0(xz,xx),
inference(cnf_transformation,[],[f245]) ).
tcf(c_152,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ( sdtasdt0(xc,X1) != sdtasdt0(xz,xx) )
| ( sdtasdt0(xc,X0) != sdtpldt0(xx,xy) ) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_5228,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( sdtasdt0(xc,X0) != sdtasdt0(xz,xx) )
| ~ aElement0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_152]) ).
tcf(c_5229,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( sdtasdt0(xc,X0) != sdtpldt0(xx,xy) )
| ~ aElement0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_152]) ).
tcf(c_5230,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_152]) ).
tcf(c_5231,definition,
iPr_def_12 = sdtpldt0(xx,xy),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_5233,definition,
iPr_def_14 = sdtasdt0(xz,xx),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_5237,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_5230]) ).
tcf(c_5238,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ aElement0(X0)
| ( sdtasdt0(xc,X0) != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_5229]) ).
tcf(c_5239,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ aElement0(X0)
| ( sdtasdt0(xc,X0) != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_5228]) ).
tcf(c_7430,plain,
sdtasdt0(xc,sdtpldt0(xu,xv)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_150,c_5231]) ).
tcf(c_7435,plain,
( ~ iPr_def_11
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(superposition,[status(thm)],[c_7430,c_5238]) ).
tcf(c_7452,plain,
sdtasdt0(xc,sdtasdt0(xu,xz)) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_151,c_5233]) ).
tcf(c_7456,plain,
( ~ iPr_def_10
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(superposition,[status(thm)],[c_7452,c_5239]) ).
tcf(c_7574,plain,
( ~ iPr_def_11
| ~ aElement0(xv)
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_52,c_7435]) ).
tcf(c_7575,plain,
~ iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_7574,c_148,c_146]) ).
tcf(c_7576,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_5237,c_7575]) ).
tcf(c_7585,plain,
~ aElement0(sdtasdt0(xu,xz)),
inference(global_subsumption_just,[status(thm)],[c_7456,c_7456,c_7576]) ).
tcf(c_7587,plain,
( ~ aElement0(xu)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_53,c_7585]) ).
tcf(c_7588,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7587,c_146,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG105+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.41 % Computer : n015.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Thu Sep 24 08:18:55 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.46 Running first-order theorem proving
% 0.13/0.46 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
% 0.13/0.48
% 0.13/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.48
% 0.13/0.48 % Detected problem language: tptp
% 0.21/0.49 % Proving...
% 3.41/1.36 % SZS status Started for theBenchmark.p
% 3.41/1.36 % SZS status Theorem for theBenchmark.p
% 3.41/1.36
% 3.41/1.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.41/1.36
% 3.41/1.36 % ------ iProver source info
% 3.41/1.36
% 3.41/1.36 % git: date: 2026-07-19 20:42:38 +0200
% 3.41/1.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.41/1.36 % git: non_committed_changes: false
% 3.41/1.36
% 3.41/1.36 % ------ Parsing...
% 3.41/1.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.41/1.36
% 3.41/1.36 % ------ 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: 2 0s sf_e pe_s pe_e %
% 3.41/1.36
% 3.41/1.36 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.41/1.36
% 3.41/1.36 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.41/1.36 % ------ Proving...
% 3.41/1.36 % ------ Problem Properties
% 3.41/1.36
% 3.41/1.36 %
% 3.41/1.36 % clauses 107
% 3.41/1.36 % conjectures 6
% 3.41/1.36 % EPR 20
% 3.41/1.36 % Horn 83
% 3.41/1.36 % unary 20
% 3.41/1.36 % binary 16
% 3.41/1.36 % lits 352
% 3.41/1.36 % lits eq 55
% 3.41/1.36 % fd_pure 0
% 3.41/1.36 % fd_pseudo 0
% 3.41/1.36 % fd_cond 3
% 3.41/1.36 % fd_pseudo_cond 11
% 3.41/1.36 % AC symbols 0
% 3.41/1.36
% 3.41/1.36 % ------ Schedule dynamic 5 is on
% 3.41/1.36
% 3.41/1.36 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.41/1.36
% 3.41/1.36
% 3.41/1.36 % ------
% 3.41/1.36 % Current options:
% 3.41/1.36 % ------
% 3.41/1.36
% 3.41/1.36
% 3.41/1.36 %
% 3.41/1.36
% 3.41/1.36 % ------ Proving...
% 3.41/1.36 %
% 3.41/1.36
% 3.41/1.36 % SZS status Theorem for theBenchmark.p
% 3.41/1.36
% 3.41/1.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.41/1.36
% 3.41/1.36
%------------------------------------------------------------------------------