%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS267+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 01:54:29 PM UTC 2026
% Result : Theorem 1.74s 6.18s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 16 unt; 0 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 146 ( 64 ~; 52 |; 21 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 113 !; 18 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(f13,axiom,
! [X0,X1] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',cax) ).
fof(f15,axiom,
! [X0,X1] :
( ( ! [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) )
<=> status(X0,X1,tca) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',tca) ).
fof(f20,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mighta) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(f29,axiom,
? [X0] :
! [X1] : ~ model(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',contradiction) ).
fof(f33,conjecture,
mighta(tca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_tca_thm) ).
fof(f34,negated_conjecture,
~ mighta(tca,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(tca,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(f44,plain,
! [X0,X1] :
( ( ! [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) )
<=> status(X0,X1,tca) ),
inference(ennf_transformation,[],[f15]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| mighta(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
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(f99,plain,
! [X0,X1] :
( ( ? [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0)
| status(X0,X1,tca) )
& ( ~ status(X0,X1,tca)
| ( ! [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f100,plain,
! [X0,X1] :
( ( ? [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0)
| status(X0,X1,tca) )
& ( ~ status(X0,X1,tca)
| ( ! [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ( ? [X5] : ~ model(X5,X1)
| ? [X4] : model(X4,X0)
| status(X0,X1,tca) )
& ( ~ status(X0,X1,tca)
| ( ! [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ( ~ model(sK32(X1),X1)
| model(sK31(X0),X0)
| status(X0,X1,tca) )
& ( ~ status(X0,X1,tca)
| ( ! [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X4,sK31(X0)),skolemize(X5,sK32(X1))],[f101]) ).
fof(f120,plain,
! [X1] : model(X1,sK41),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X0,sK41)],[f27]) ).
fof(f122,plain,
! [X1] : ~ model(X1,sK45),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(X0,sK45)],[f29]) ).
fof(f139,plain,
! [X0,X1] :
( model(sK9(X0,X1),X0)
| 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(f181,plain,
! [X0,X1] :
( ~ model(sK32(X1),X1)
| model(sK31(X0),X0)
| status(X0,X1,tca) ),
inference(cnf_transformation,[],[f102]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,tca)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f102]) ).
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(f207,plain,
! [X1] : ~ model(X1,sK45),
inference(cnf_transformation,[],[f122]) ).
fof(f219,plain,
~ mighta(tca,thm),
inference(cnf_transformation,[],[f35]) ).
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_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ model(X2,X0)
| ~ status(X0,X1,tca) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( status(X1,X0,tca)
| model(sK31(X1),X1)
| ~ model(sK32(X0),X0) ),
inference(cnf_transformation,[],[f181]) ).
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_130,plain,
! [X0: $i] : ~ model(X0,sK45),
inference(cnf_transformation,[],[f207]) ).
tcf(c_142,negated_conjecture,
~ mighta(tca,thm),
inference(cnf_transformation,[],[f219]) ).
tcf(c_974,plain,
! [X0: $i,X1: $i] :
( ~ status(X0,X1,tca)
| ~ status(X0,X1,thm) ),
inference(resolution,[status(thm)],[c_122,c_142]) ).
tcf(c_1020,plain,
! [X0: $i,X1: $i] :
( ~ status(X0,X1,tca)
| ~ status(X0,X1,thm) ),
inference(prop_impl_just,[status(thm)],[c_974]) ).
tcf(c_1891,plain,
! [X0: $i,X1: $i] :
( ~ status(X0,X1,tca)
| ~ model(sK28(X0),X0) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_3350,plain,
! [X0: $i] :
( status(X0,sK41,tca)
| model(sK31(X0),X0) ),
inference(superposition,[status(thm)],[c_127,c_106]) ).
tcf(c_3448,plain,
! [X0: $i,X1: $i] :
( model(sK28(X1),X1)
| ~ model(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_99]) ).
tcf(c_3541,plain,
status(sK45,sK41,tca),
inference(superposition,[status(thm)],[c_3350,c_130]) ).
tcf(c_3628,plain,
! [X0: $i,X1: $i] :
( status(X0,X1,thm)
| model(sK28(X0),X0) ),
inference(superposition,[status(thm)],[c_64,c_3448]) ).
tcf(c_7854,plain,
! [X0: $i,X1: $i] : ~ status(X0,X1,tca),
inference(global_subsumption_just,[status(thm)],[c_1020,c_974,c_1891,c_3628]) ).
tcf(c_7857,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_3541,c_7854]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS267+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.36 % Computer : n020.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Wed Sep 23 19:52:54 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.41 Running first-order theorem proving
% 0.12/5.41 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
% 0.12/5.42
% 0.12/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.42
% 0.12/5.42 % Detected problem language: tptp
% 0.12/5.43 % Proving...
% 1.74/6.18 % SZS status Started for theBenchmark.p
% 1.74/6.18 % SZS status Theorem for theBenchmark.p
% 1.74/6.18
% 1.74/6.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.74/6.18
% 1.74/6.18 % ------ iProver source info
% 1.74/6.18
% 1.74/6.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.74/6.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.74/6.18 % git: non_committed_changes: false
% 1.74/6.18
% 1.74/6.18 % ------ Parsing...
% 1.74/6.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.74/6.18
% 1.74/6.18 % ------ 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 %
% 1.74/6.18
% 1.74/6.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.74/6.18 % ------ Proving...
% 1.74/6.18 % ------ Problem Properties
% 1.74/6.18
% 1.74/6.18 %
% 1.74/6.18 % clauses 91
% 1.74/6.18 % conjectures 0
% 1.74/6.18 % EPR 39
% 1.74/6.18 % Horn 72
% 1.74/6.18 % unary 13
% 1.74/6.18 % binary 47
% 1.74/6.18 % lits 220
% 1.74/6.18 % lits eq 0
% 1.74/6.18 % fd_pure 0
% 1.74/6.18 % fd_pseudo 0
% 1.74/6.18 % fd_cond 0
% 1.74/6.18 % fd_pseudo_cond 0
% 1.74/6.18 % AC symbols 0
% 1.74/6.18
% 1.74/6.18 % ------ Schedule dynamic 5 is on
% 1.74/6.18
% 1.74/6.18 % ------ no conjectures: strip conj schedule
% 1.74/6.18
% 1.74/6.18 % ------ no equalities: superposition off
% 1.74/6.18
% 1.74/6.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.74/6.18
% 1.74/6.18
% 1.74/6.18 % ------
% 1.74/6.18 % Current options:
% 1.74/6.18 % ------
% 1.74/6.18
% 1.74/6.18
% 1.74/6.18 %
% 1.74/6.18
% 1.74/6.18 % ------ Proving...
% 1.74/6.18 %
% 1.74/6.18
% 1.74/6.18 % SZS status Theorem for theBenchmark.p
% 1.74/6.18
% 1.74/6.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.74/6.18
% 1.74/6.18
%------------------------------------------------------------------------------