%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG050+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 : n007.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 02:38:19 PM UTC 2026
% Result : Theorem 3.24s 1.32s
% Output : CNFRefutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 19 unt; 2 def)
% Number of atoms : 113 ( 51 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 98 ( 39 ~; 34 |; 17 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) = sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f37,axiom,
aVector0(xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).
fof(f39,conjecture,
( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f57,plain,
! [X0] :
( ~ aScalar0(X0)
| ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f81,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f93,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(ennf_transformation,[],[f35]) ).
fof(f94,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(flattening,[],[f93]) ).
fof(f99,plain,
( ( sz00 = aDimensionOf0(xs)
| sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
& ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f112,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f121,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f57]) ).
fof(f142,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f153,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f155,plain,
aVector0(xs),
inference(cnf_transformation,[],[f37]) ).
fof(f157,plain,
( sz00 = aDimensionOf0(xs)
| sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f158,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf_transformation,[],[f99]) ).
tcf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f112]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_86,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,X1) = sz0z00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X1) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_99,plain,
aVector0(xs),
inference(cnf_transformation,[],[f155]) ).
tcf(c_101,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf_transformation,[],[f158]) ).
tcf(c_102,negated_conjecture,
( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| ( aDimensionOf0(xs) = sz00 ) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_150,negated_conjecture,
aDimensionOf0(xs) = sz00,
inference(global_subsumption_just,[status(thm)],[c_102,c_101,c_102]) ).
tcf(c_1621,definition,
iPr_def_13 = aDimensionOf0(xs),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1622,definition,
iPr_def_14 = sdtasasdt0(xs,xs),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1624,negated_conjecture,
iPr_def_13 = sz00,
inference(demodulation,[status(thm)],[c_150,c_1621]) ).
tcf(c_1625,negated_conjecture,
~ sdtlseqdt0(sz0z00,iPr_def_14),
inference(demodulation,[status(thm)],[c_101,c_1622]) ).
tcf(c_2589,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_62]) ).
tcf(c_2594,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2589,c_86]) ).
tcf(c_2595,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_2594,c_56]) ).
tcf(c_4630,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,X1) = sz0z00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X1) != iPr_def_13 )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(light_normalisation,[status(thm)],[c_97,c_1624]) ).
tcf(c_4648,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != iPr_def_13 ) ),
inference(equality_resolution,[status(thm)],[c_4630]) ).
tcf(c_4678,plain,
( ( sdtasasdt0(xs,xs) = sz0z00 )
| ~ aVector0(xs) ),
inference(superposition,[status(thm)],[c_1621,c_4648]) ).
tcf(c_4679,plain,
( ( sz0z00 = iPr_def_14 )
| ~ aVector0(xs) ),
inference(light_normalisation,[status(thm)],[c_4678,c_1622]) ).
tcf(c_4680,plain,
sz0z00 = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_4679,c_99]) ).
tcf(c_4706,plain,
sdtlseqdt0(iPr_def_14,iPr_def_14),
inference(demodulation,[status(thm)],[c_2595,c_4680]) ).
tcf(c_4716,plain,
~ sdtlseqdt0(iPr_def_14,iPr_def_14),
inference(demodulation,[status(thm)],[c_1625,c_4680]) ).
tcf(c_4729,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4706,c_4716]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG050+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 % Computer : n007.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Thu Sep 24 07:56:07 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 0.13/0.44
% 0.13/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.44
% 0.13/0.44 % Detected problem language: tptp
% 0.13/0.46 % Proving...
% 3.24/1.32 % SZS status Started for theBenchmark.p
% 3.24/1.32 % SZS status Theorem for theBenchmark.p
% 3.24/1.32
% 3.24/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.24/1.32
% 3.24/1.32 % ------ iProver source info
% 3.24/1.32
% 3.24/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.24/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.24/1.32 % git: non_committed_changes: false
% 3.24/1.32
% 3.24/1.32 % ------ Parsing...
% 3.24/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.24/1.32
% 3.24/1.32 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.24/1.32
% 3.24/1.32 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.24/1.32
% 3.24/1.32 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 3.24/1.32 % ------ Proving...
% 3.24/1.32 % ------ Problem Properties
% 3.24/1.32
% 3.24/1.32 %
% 3.24/1.32 % clauses 58
% 3.24/1.32 % conjectures 2
% 3.24/1.32 % EPR 12
% 3.24/1.32 % Horn 46
% 3.24/1.32 % unary 8
% 3.24/1.32 % binary 16
% 3.24/1.32 % lits 187
% 3.24/1.32 % lits eq 53
% 3.24/1.32 % fd_pure 0
% 3.24/1.32 % fd_pseudo 0
% 3.24/1.32 % fd_cond 1
% 3.24/1.32 % fd_pseudo_cond 5
% 3.24/1.32 % AC symbols 0
% 3.24/1.32
% 3.24/1.32 % ------ Schedule dynamic 5 is on
% 3.24/1.32
% 3.24/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.24/1.32
% 3.24/1.32
% 3.24/1.32 % ------
% 3.24/1.32 % Current options:
% 3.24/1.32 % ------
% 3.24/1.32
% 3.24/1.32
% 3.24/1.32 %
% 3.24/1.32
% 3.24/1.32 % ------ Proving...
% 3.24/1.32 %
% 3.24/1.32
% 3.24/1.32 % SZS status Theorem for theBenchmark.p
% 3.24/1.32
% 3.24/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.24/1.32
% 3.24/1.32
%------------------------------------------------------------------------------