%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS217+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 01:54:25 PM UTC 2026
% Result : Theorem 4.53s 1.31s
% Output : CNFRefutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 54 ( 12 unt; 0 def)
% Number of atoms : 186 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 219 ( 87 ~; 84 |; 40 &)
% ( 4 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn 95 !; 24 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(f19,axiom,
! [X0,X1] :
( ( ? [X3] :
( model(X3,not(X1))
& model(X3,X0) )
& ? [X2] :
( model(X2,X1)
& model(X2,X0) ) )
<=> status(X0,X1,noc) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',noc) ).
fof(f22,axiom,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
<=> nota(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(f25,axiom,
! [X0,X1] :
( model(X0,X1)
<~> model(X0,not(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',completeness) ).
fof(f31,axiom,
? [X0,X1] :
( ? [X5] : ~ model(X5,X1)
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] : model(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',mixed_pair) ).
fof(f33,conjecture,
nota(noc,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_noc_thm) ).
fof(f34,negated_conjecture,
~ nota(noc,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nota(noc,thm),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
=> nota(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f37,plain,
! [X0,X1] :
( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| nota(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f39,plain,
? [X0,X1] :
( ? [X5] : ~ model(X5,X1)
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) )
& ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
& ? [X2] : model(X2,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f40,plain,
! [X0,X1] :
( ( ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) )
| status(X0,X1,thm) )
& ( ~ status(X0,X1,thm)
| ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f41,plain,
! [X0,X1] :
( ( ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
| status(X0,X1,thm) )
& ( ~ status(X0,X1,thm)
| ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) ) ) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ( ( model(sK0(X0,X1),X0)
& ~ model(sK0(X0,X1),X1) )
| status(X0,X1,thm) )
& ( ~ status(X0,X1,thm)
| ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( ! [X3] :
( ~ model(X3,not(X1))
| ~ model(X3,X0) )
| ! [X2] :
( ~ model(X2,X1)
| ~ model(X2,X0) )
| status(X0,X1,noc) )
& ( ~ status(X0,X1,noc)
| ( ? [X3] :
( model(X3,not(X1))
& model(X3,X0) )
& ? [X2] :
( model(X2,X1)
& model(X2,X0) ) ) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] :
( ( ! [X3] :
( ~ model(X3,not(X1))
| ~ model(X3,X0) )
| ! [X2] :
( ~ model(X2,X1)
| ~ model(X2,X0) )
| status(X0,X1,noc) )
& ( ~ status(X0,X1,noc)
| ( ? [X3] :
( model(X3,not(X1))
& model(X3,X0) )
& ? [X2] :
( model(X2,X1)
& model(X2,X0) ) ) ) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ( ! [X5] :
( ~ model(X5,not(X1))
| ~ model(X5,X0) )
| ! [X4] :
( ~ model(X4,X1)
| ~ model(X4,X0) )
| status(X0,X1,noc) )
& ( ~ status(X0,X1,noc)
| ( ? [X3] :
( model(X3,not(X1))
& model(X3,X0) )
& ? [X2] :
( model(X2,X1)
& model(X2,X0) ) ) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( ! [X5] :
( ~ model(X5,not(X1))
| ~ model(X5,X0) )
| ! [X4] :
( ~ model(X4,X1)
| ~ model(X4,X0) )
| status(X0,X1,noc) )
& ( ~ status(X0,X1,noc)
| ( model(sK2(X0,X1),not(X1))
& model(sK2(X0,X1),X0)
& model(sK1(X0,X1),X1)
& model(sK1(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X2,sK1(X0,X1)),skolemize(X3,sK2(X0,X1))],[f45]) ).
fof(f48,plain,
( ~ model(sK11,sK8)
& model(sK10,sK8)
& ~ model(sK10,sK7)
& ! [X3] :
( ~ model(X3,sK7)
| model(X3,sK8) )
& model(sK9,sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9),skolemize(X4,sK10),skolemize(X5,sK11)],[f39]) ).
fof(f54,plain,
! [X0,X1] :
( ( model(X0,X1)
| model(X0,not(X1)) )
& ( ~ model(X0,X1)
| ~ model(X0,not(X1)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f55,plain,
~ nota(noc,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0)
| nota(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f60,plain,
! [X0,X1,X4,X5] :
( ~ model(X5,not(X1))
| ~ model(X5,X0)
| ~ model(X4,X1)
| ~ model(X4,X0)
| status(X0,X1,noc) ),
inference(cnf_transformation,[],[f46]) ).
fof(f69,plain,
model(sK10,sK8),
inference(cnf_transformation,[],[f48]) ).
fof(f70,plain,
~ model(sK10,sK7),
inference(cnf_transformation,[],[f48]) ).
fof(f71,plain,
! [X3] :
( ~ model(X3,sK7)
| model(X3,sK8) ),
inference(cnf_transformation,[],[f48]) ).
fof(f72,plain,
model(sK9,sK7),
inference(cnf_transformation,[],[f48]) ).
fof(f82,plain,
! [X0,X1] :
( model(X0,X1)
| model(X0,not(X1)) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_49,negated_conjecture,
~ nota(noc,thm),
inference(cnf_transformation,[],[f55]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( model(X2,X1)
| ~ model(X2,X0)
| ~ status(X0,X1,thm) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( nota(X2,X3)
| status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( status(X3,X1,noc)
| ~ model(X2,X3)
| ~ model(X2,X1)
| ~ model(X0,X3)
| ~ model(X0,not(X1)) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_62,plain,
model(sK9,sK7),
inference(cnf_transformation,[],[f72]) ).
tcf(c_63,plain,
! [X0: $i] :
( model(X0,sK8)
| ~ model(X0,sK7) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_64,plain,
~ model(sK10,sK7),
inference(cnf_transformation,[],[f70]) ).
tcf(c_65,plain,
model(sK10,sK8),
inference(cnf_transformation,[],[f69]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( model(X0,X1)
| model(X0,not(X1)) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( model(X0,not(X1))
| model(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_77]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( model(X0,X1)
| model(X0,not(X1)) ),
inference(renaming,[status(thm)],[c_90]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( model(X0,X3)
| status(X1,X3,noc)
| ~ model(X2,X3)
| ~ model(X2,X1)
| ~ model(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_58,c_91]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( status(X0,X1,thm)
| ~ status(X0,X1,noc) ),
inference(resolution,[status(thm)],[c_49,c_53]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] :
( ~ status(X0,X1,noc)
| status(X0,X1,thm) ),
inference(prop_impl_just,[status(thm)],[c_257]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i] :
( status(X0,X1,thm)
| ~ status(X0,X1,noc) ),
inference(renaming,[status(thm)],[c_275]) ).
tcf(c_431,plain,
( model(sK9,sK8)
| ~ model(sK9,sK7) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_451,plain,
! [X0: $i] :
( model(sK10,X0)
| ~ model(sK10,sK8)
| ~ status(sK8,X0,thm) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i] :
( model(sK10,X1)
| status(sK8,X1,noc)
| ~ model(sK10,sK8)
| ~ model(X0,sK8)
| ~ model(X0,X1) ),
inference(instantiation,[status(thm)],[c_166]) ).
tcf(c_510,plain,
! [X0: $i] :
( status(sK8,X0,thm)
| ~ status(sK8,X0,noc) ),
inference(instantiation,[status(thm)],[c_276]) ).
tcf(c_544,plain,
! [X0: $i] :
( model(sK10,X0)
| status(sK8,X0,noc)
| ~ model(sK10,sK8)
| ~ model(sK9,sK8)
| ~ model(sK9,X0) ),
inference(instantiation,[status(thm)],[c_468]) ).
tcf(c_791,plain,
( model(sK10,sK7)
| ~ model(sK10,sK8)
| ~ status(sK8,sK7,thm) ),
inference(instantiation,[status(thm)],[c_451]) ).
tcf(c_1161,plain,
( model(sK10,sK7)
| status(sK8,sK7,noc)
| ~ model(sK10,sK8)
| ~ model(sK9,sK8)
| ~ model(sK9,sK7) ),
inference(instantiation,[status(thm)],[c_544]) ).
tcf(c_2181,plain,
( status(sK8,sK7,thm)
| ~ status(sK8,sK7,noc) ),
inference(instantiation,[status(thm)],[c_510]) ).
tcf(c_2183,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2181,c_1161,c_791,c_431,c_64,c_62,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS217+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 : Wed Sep 23 19:49:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.53/1.31 % SZS status Started for theBenchmark.p
% 4.53/1.31 % SZS status Theorem for theBenchmark.p
% 4.53/1.31
% 4.53/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.53/1.31
% 4.53/1.31 % ------ iProver source info
% 4.53/1.31
% 4.53/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.53/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.53/1.31 % git: non_committed_changes: false
% 4.53/1.31
% 4.53/1.31 % ------ Parsing...
% 4.53/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.53/1.31
% 4.53/1.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.53/1.31
% 4.53/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.53/1.31 % ------ Proving...
% 4.53/1.31 % ------ Problem Properties
% 4.53/1.31
% 4.53/1.31 %
% 4.53/1.31 % clauses 26
% 4.53/1.31 % conjectures 0
% 4.53/1.31 % EPR 18
% 4.53/1.31 % Horn 23
% 4.53/1.31 % unary 13
% 4.53/1.31 % binary 11
% 4.53/1.31 % lits 43
% 4.53/1.31 % lits eq 0
% 4.53/1.31 % fd_pure 0
% 4.53/1.31 % fd_pseudo 0
% 4.53/1.31 % fd_cond 0
% 4.53/1.31 % fd_pseudo_cond 0
% 4.53/1.31 % AC symbols 0
% 4.53/1.31
% 4.53/1.31 % ------ Schedule dynamic 5 is on
% 4.53/1.31
% 4.53/1.31 % ------ no conjectures: strip conj schedule
% 4.53/1.31
% 4.53/1.31 % ------ no equalities: superposition off
% 4.53/1.31
% 4.53/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.53/1.31
% 4.53/1.31
% 4.53/1.31 % ------
% 4.53/1.31 % Current options:
% 4.53/1.31 % ------
% 4.53/1.31
% 4.53/1.31
% 4.53/1.31 %
% 4.53/1.31
% 4.53/1.31 % ------ Proving...
% 4.53/1.31 %
% 4.53/1.31
% 4.53/1.31 % SZS status Theorem for theBenchmark.p
% 4.53/1.31
% 4.53/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.53/1.31
% 4.53/1.31
%------------------------------------------------------------------------------