%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS256+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 : n008.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 01:54:28 PM UTC 2026
% Result : Theorem 3.28s 1.18s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 57 ( 14 unt; 0 def)
% Number of atoms : 177 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 167 ( 68 ~; 70 |; 20 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 114 !; 20 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
<=> ? [X3] : model(X3,X1) )
<=> status(X0,X1,esa) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',esa) ).
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(f13,axiom,
! [X0,X1] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',cax) ).
fof(f20,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',mighta) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(f33,conjecture,
mighta(esa,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_esa_thm) ).
fof(f34,negated_conjecture,
~ mighta(esa,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(esa,thm),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f42,plain,
! [X0,X1] :
( ! [X2] : ~ model(X2,X0)
<=> status(X0,X1,cax) ),
inference(ennf_transformation,[],[f13]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| mighta(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f56,plain,
! [X0,X1] :
( ( ( ( ? [X2] : model(X2,X0)
| ? [X3] : model(X3,X1) )
& ( ! [X2] : ~ model(X2,X0)
| ! [X3] : ~ model(X3,X1) ) )
| status(X0,X1,esa) )
& ( ~ status(X0,X1,esa)
| ( ( ! [X2] : ~ model(X2,X0)
| ? [X3] : model(X3,X1) )
& ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0) ) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f57,plain,
! [X0,X1] :
( ( ( ( ? [X9] : model(X9,X0)
| ? [X8] : model(X8,X1) )
& ( ! [X7] : ~ model(X7,X0)
| ! [X6] : ~ model(X6,X1) ) )
| status(X0,X1,esa) )
& ( ~ status(X0,X1,esa)
| ( ( ! [X5] : ~ model(X5,X0)
| ? [X4] : model(X4,X1) )
& ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0) ) ) ) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ( ( ( model(sK7(X0),X0)
| model(sK6(X1),X1) )
& ( ! [X7] : ~ model(X7,X0)
| ! [X6] : ~ model(X6,X1) ) )
| status(X0,X1,esa) )
& ( ~ status(X0,X1,esa)
| ( ( ! [X5] : ~ model(X5,X0)
| model(sK5(X1),X1) )
& ( ! [X3] : ~ model(X3,X1)
| model(sK4(X0),X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X2,sK4(X0)),skolemize(X4,sK5(X1)),skolemize(X8,sK6(X1)),skolemize(X9,sK7(X0))],[f57]) ).
fof(f62,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,[],[f39]) ).
fof(f63,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,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ( ( model(sK9(X0,X1),X0)
& ~ model(sK9(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,[sK9]),skolemize(X3,sK9(X0,X1))],[f63]) ).
fof(f92,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
| status(X0,X1,cax) )
& ( ~ status(X0,X1,cax)
| ! [X2] : ~ model(X2,X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f93,plain,
! [X0,X1] :
( ( ? [X3] : model(X3,X0)
| status(X0,X1,cax) )
& ( ~ status(X0,X1,cax)
| ! [X2] : ~ model(X2,X0) ) ),
inference(rectify,[],[f92]) ).
fof(f94,plain,
! [X0,X1] :
( ( model(sK28(X0),X0)
| status(X0,X1,cax) )
& ( ~ status(X0,X1,cax)
| ! [X2] : ~ model(X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X3,sK28(X0))],[f93]) ).
fof(f120,plain,
! [X1] : model(X1,sK41),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X0,sK41)],[f27]) ).
fof(f132,plain,
! [X0,X1] :
( model(sK7(X0),X0)
| model(sK6(X1),X1)
| status(X0,X1,esa) ),
inference(cnf_transformation,[],[f58]) ).
fof(f133,plain,
! [X0,X1,X6,X7] :
( ~ model(X7,X0)
| ~ model(X6,X1)
| status(X0,X1,esa) ),
inference(cnf_transformation,[],[f58]) ).
fof(f139,plain,
! [X0,X1] :
( model(sK9(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f64]) ).
fof(f140,plain,
! [X0,X1] :
( ~ model(sK9(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f64]) ).
fof(f176,plain,
! [X0,X1] :
( model(sK28(X0),X0)
| status(X0,X1,cax) ),
inference(cnf_transformation,[],[f94]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,cax)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0)
| mighta(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f204,plain,
! [X1] : model(X1,sK41),
inference(cnf_transformation,[],[f120]) ).
fof(f219,plain,
~ mighta(esa,thm),
inference(cnf_transformation,[],[f35]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( status(X3,X1,esa)
| ~ model(X2,X3)
| ~ model(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( status(X1,X0,esa)
| model(sK7(X1),X1)
| model(sK6(X0),X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( status(X0,X1,thm)
| ~ model(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( status(X0,X1,thm)
| model(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ model(X2,X0)
| ~ status(X0,X1,cax) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( status(X0,X1,cax)
| model(sK28(X0),X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mighta(X3,X2)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_127,plain,
! [X0: $i] : model(X0,sK41),
inference(cnf_transformation,[],[f204]) ).
tcf(c_142,negated_conjecture,
~ mighta(esa,thm),
inference(cnf_transformation,[],[f219]) ).
tcf(c_974,plain,
! [X0: $i,X1: $i] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,esa) ),
inference(resolution,[status(thm)],[c_122,c_142]) ).
tcf(c_975,plain,
( ~ status(wth,wth,thm)
| ~ status(wth,wth,esa) ),
inference(instantiation,[status(thm)],[c_974]) ).
tcf(c_1016,plain,
! [X0: $i,X1: $i] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,esa) ),
inference(prop_impl_just,[status(thm)],[c_974]) ).
tcf(c_2115,plain,
! [X0: $i,X1: $i] :
( ~ status(X0,X1,cax)
| ~ model(sK6(X0),X0) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_2116,plain,
( ~ status(wth,wth,cax)
| ~ model(sK6(wth),wth) ),
inference(instantiation,[status(thm)],[c_2115]) ).
tcf(c_2930,plain,
! [X0: $i,X1: $i] :
( status(X1,sK41,esa)
| ~ model(X0,X1) ),
inference(superposition,[status(thm)],[c_127,c_57]) ).
tcf(c_4273,plain,
! [X0: $i,X1: $i] :
( status(X1,sK41,esa)
| status(X1,X0,esa)
| model(sK6(X0),X0) ),
inference(superposition,[status(thm)],[c_58,c_2930]) ).
tcf(c_4275,plain,
! [X0: $i,X1: $i] :
( status(X0,sK41,esa)
| status(X0,X1,cax) ),
inference(superposition,[status(thm)],[c_100,c_2930]) ).
tcf(c_4307,plain,
( status(wth,sK41,esa)
| status(wth,wth,cax) ),
inference(instantiation,[status(thm)],[c_4275]) ).
tcf(c_4311,plain,
( status(wth,sK41,esa)
| status(wth,wth,esa)
| model(sK6(wth),wth) ),
inference(instantiation,[status(thm)],[c_4273]) ).
tcf(c_4596,plain,
! [X0: $i] : status(X0,X0,thm),
inference(superposition,[status(thm)],[c_64,c_63]) ).
tcf(c_4598,plain,
! [X0: $i] : status(X0,sK41,thm),
inference(superposition,[status(thm)],[c_127,c_63]) ).
tcf(c_4605,plain,
status(wth,sK41,thm),
inference(instantiation,[status(thm)],[c_4598]) ).
tcf(c_4606,plain,
status(wth,wth,thm),
inference(instantiation,[status(thm)],[c_4596]) ).
tcf(c_16725,plain,
! [X0: $i] :
( ~ status(X0,sK41,thm)
| ~ status(X0,sK41,esa) ),
inference(instantiation,[status(thm)],[c_1016]) ).
tcf(c_16726,plain,
( ~ status(wth,sK41,thm)
| ~ status(wth,sK41,esa) ),
inference(instantiation,[status(thm)],[c_16725]) ).
tcf(c_16727,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16726,c_4606,c_4605,c_4311,c_4307,c_2116,c_975]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS256+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 19:50:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 3.28/1.18 % SZS status Started for theBenchmark.p
% 3.28/1.18 % SZS status Theorem for theBenchmark.p
% 3.28/1.18
% 3.28/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.28/1.18
% 3.28/1.18 % ------ iProver source info
% 3.28/1.18
% 3.28/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.28/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.28/1.18 % git: non_committed_changes: false
% 3.28/1.18
% 3.28/1.18 % ------ Parsing...
% 3.28/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.28/1.18
% 3.28/1.18 % ------ 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 %
% 3.28/1.18
% 3.28/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.28/1.18 % ------ Proving...
% 3.28/1.18 % ------ Problem Properties
% 3.28/1.18
% 3.28/1.18 %
% 3.28/1.18 % clauses 91
% 3.28/1.18 % conjectures 0
% 3.28/1.18 % EPR 39
% 3.28/1.18 % Horn 72
% 3.28/1.18 % unary 13
% 3.28/1.18 % binary 47
% 3.28/1.18 % lits 220
% 3.28/1.18 % lits eq 0
% 3.28/1.18 % fd_pure 0
% 3.28/1.18 % fd_pseudo 0
% 3.28/1.18 % fd_cond 0
% 3.28/1.18 % fd_pseudo_cond 0
% 3.28/1.18 % AC symbols 0
% 3.28/1.18
% 3.28/1.18 % ------ Schedule dynamic 5 is on
% 3.28/1.18
% 3.28/1.18 % ------ no conjectures: strip conj schedule
% 3.28/1.18
% 3.28/1.18 % ------ no equalities: superposition off
% 3.28/1.18
% 3.28/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.28/1.18
% 3.28/1.18
% 3.28/1.18 % ------
% 3.28/1.18 % Current options:
% 3.28/1.18 % ------
% 3.28/1.18
% 3.28/1.18
% 3.28/1.18 %
% 3.28/1.18
% 3.28/1.18 % ------ Proving...
% 3.28/1.18 %
% 3.28/1.18
% 3.28/1.18 % SZS status Theorem for theBenchmark.p
% 3.28/1.18
% 3.28/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.28/1.18
% 3.28/1.18
%------------------------------------------------------------------------------