%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS264+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 : 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 01:54:29 PM UTC 2026
% Result : Theorem 4.32s 6.34s
% Output : CNFRefutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 54 ( 16 unt; 0 def)
% Number of atoms : 221 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 265 ( 98 ~; 106 |; 52 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 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 : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 140 ( 0 sgn 106 !; 34 ?; 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(f12,axiom,
! [X0,X1] :
( ( ? [X5] : ~ model(X5,X1)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wth) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',wth) ).
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(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/sandbox/benchmark/Axioms/KRS001+1.ax',mixed_pair) ).
fof(f33,conjecture,
mighta(wth,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_wth_thm) ).
fof(f34,negated_conjecture,
~ mighta(wth,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(wth,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(f37,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| mighta(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f39,plain,
! [X0,X1] :
( ( ? [X5] : ~ model(X5,X1)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wth) ),
inference(ennf_transformation,[],[f12]) ).
fof(f40,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(f41,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,[],[f38]) ).
fof(f42,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,[],[f41]) ).
fof(f43,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))],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ( ! [X5] : model(X5,X1)
| ! [X4] :
( model(X4,X0)
| ~ model(X4,X1) )
| ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
| ! [X2] : ~ model(X2,X0)
| status(X0,X1,wth) )
& ( ~ status(X0,X1,wth)
| ( ? [X5] : ~ model(X5,X1)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
& ? [X2] : model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f45,plain,
! [X0,X1] :
( ( ! [X5] : model(X5,X1)
| ! [X4] :
( model(X4,X0)
| ~ model(X4,X1) )
| ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
| ! [X2] : ~ model(X2,X0)
| status(X0,X1,wth) )
& ( ~ status(X0,X1,wth)
| ( ? [X5] : ~ model(X5,X1)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
& ? [X2] : model(X2,X0) ) ) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( ! [X9] : model(X9,X1)
| ! [X8] :
( model(X8,X0)
| ~ model(X8,X1) )
| ? [X7] :
( model(X7,X0)
& ~ model(X7,X1) )
| ! [X6] : ~ model(X6,X0)
| status(X0,X1,wth) )
& ( ~ status(X0,X1,wth)
| ( ? [X5] : ~ model(X5,X1)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
& ? [X2] : model(X2,X0) ) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ( ! [X9] : model(X9,X1)
| ! [X8] :
( model(X8,X0)
| ~ model(X8,X1) )
| ( model(sK4(X0,X1),X0)
& ~ model(sK4(X0,X1),X1) )
| ! [X6] : ~ model(X6,X0)
| status(X0,X1,wth) )
& ( ~ status(X0,X1,wth)
| ( ~ model(sK3(X1),X1)
& ~ model(sK2(X0,X1),X0)
& model(sK2(X0,X1),X1)
& ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
& model(sK1(X0),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X2,sK1(X0)),skolemize(X4,sK2(X0,X1)),skolemize(X5,sK3(X1)),skolemize(X7,sK4(X0,X1))],[f46]) ).
fof(f49,plain,
( ~ model(sK13,sK10)
& model(sK12,sK10)
& ~ model(sK12,sK9)
& ! [X3] :
( ~ model(X3,sK9)
| model(X3,sK10) )
& model(sK11,sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11),skolemize(X4,sK12),skolemize(X5,sK13)],[f40]) ).
fof(f54,plain,
~ mighta(wth,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0)
| mighta(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
! [X0,X1] :
( model(sK0(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f43]) ).
fof(f57,plain,
! [X0,X1] :
( ~ model(sK0(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f43]) ).
fof(f59,plain,
! [X0,X1,X8,X6,X9] :
( model(X9,X1)
| model(X8,X0)
| ~ model(X8,X1)
| model(sK4(X0,X1),X0)
| ~ model(X6,X0)
| status(X0,X1,wth) ),
inference(cnf_transformation,[],[f47]) ).
fof(f60,plain,
! [X0,X1,X8,X6,X9] :
( model(X9,X1)
| model(X8,X0)
| ~ model(X8,X1)
| ~ model(sK4(X0,X1),X1)
| ~ model(X6,X0)
| status(X0,X1,wth) ),
inference(cnf_transformation,[],[f47]) ).
fof(f69,plain,
~ model(sK13,sK10),
inference(cnf_transformation,[],[f49]) ).
fof(f70,plain,
model(sK12,sK10),
inference(cnf_transformation,[],[f49]) ).
fof(f71,plain,
~ model(sK12,sK9),
inference(cnf_transformation,[],[f49]) ).
fof(f72,plain,
! [X3] :
( ~ model(X3,sK9)
| model(X3,sK10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f73,plain,
model(sK11,sK9),
inference(cnf_transformation,[],[f49]) ).
tcf(c_49,negated_conjecture,
~ mighta(wth,thm),
inference(cnf_transformation,[],[f54]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mighta(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( status(X0,X1,thm)
| ~ model(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( status(X0,X1,thm)
| model(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( model(X4,X1)
| model(X3,X0)
| status(X0,X1,wth)
| ~ model(X3,X1)
| ~ model(X2,X0)
| ~ model(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( model(X4,X3)
| model(X2,X1)
| status(X1,X3,wth)
| model(sK4(X1,X3),X1)
| ~ model(X2,X3)
| ~ model(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_64,plain,
model(sK11,sK9),
inference(cnf_transformation,[],[f73]) ).
tcf(c_65,plain,
! [X0: $i] :
( model(X0,sK10)
| ~ model(X0,sK9) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_66,plain,
~ model(sK12,sK9),
inference(cnf_transformation,[],[f71]) ).
tcf(c_67,plain,
model(sK12,sK10),
inference(cnf_transformation,[],[f70]) ).
tcf(c_68,plain,
~ model(sK13,sK10),
inference(cnf_transformation,[],[f69]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,wth) ),
inference(resolution,[status(thm)],[c_49,c_50]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i,X2: $i] :
( model(X1,sK9)
| model(X2,X0)
| status(sK9,X0,wth)
| ~ model(sK11,sK9)
| ~ model(X1,X0)
| ~ model(sK4(sK9,X0),X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_339,plain,
! [X0: $i,X1: $i,X2: $i] :
( model(X0,sK9)
| model(X2,X1)
| status(sK9,X1,wth)
| model(sK4(sK9,X1),sK9)
| ~ model(sK11,sK9)
| ~ model(X0,X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_420,plain,
! [X0: $i] :
( model(sK12,sK9)
| model(X0,sK10)
| status(sK9,sK10,wth)
| model(sK4(sK9,sK10),sK9)
| ~ model(sK12,sK10)
| ~ model(sK11,sK9) ),
inference(instantiation,[status(thm)],[c_339]) ).
tcf(c_540,plain,
! [X0: $i] :
( status(sK9,X0,thm)
| model(sK0(sK9,X0),sK10) ),
inference(superposition,[status(thm)],[c_53,c_65]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i] :
( model(sK12,sK9)
| model(X1,X0)
| status(sK9,X0,wth)
| ~ model(sK11,sK9)
| ~ model(sK12,X0)
| ~ model(sK4(sK9,X0),X0) ),
inference(instantiation,[status(thm)],[c_331]) ).
tcf(c_610,plain,
status(sK9,sK10,thm),
inference(superposition,[status(thm)],[c_540,c_52]) ).
tcf(c_721,plain,
( model(sK13,sK10)
| model(sK12,sK9)
| status(sK9,sK10,wth)
| model(sK4(sK9,sK10),sK9)
| ~ model(sK12,sK10)
| ~ model(sK11,sK9) ),
inference(instantiation,[status(thm)],[c_420]) ).
tcf(c_977,plain,
~ status(sK9,sK10,wth),
inference(superposition,[status(thm)],[c_610,c_188]) ).
tcf(c_3550,plain,
( model(sK13,sK10)
| model(sK12,sK9)
| status(sK9,sK10,wth)
| ~ model(sK12,sK10)
| ~ model(sK11,sK9)
| ~ model(sK4(sK9,sK10),sK10) ),
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_7861,plain,
( model(sK4(sK9,sK10),sK10)
| ~ model(sK4(sK9,sK10),sK9) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_7862,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7861,c_3550,c_977,c_721,c_66,c_68,c_64,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS264+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.39 % Computer : n007.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Wed Sep 23 19:49:27 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.44 Running first-order theorem proving
% 0.16/5.44 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
% 0.16/5.45
% 0.16/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.45
% 0.16/5.45 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 4.32/6.34 % SZS status Started for theBenchmark.p
% 4.32/6.34 % SZS status Theorem for theBenchmark.p
% 4.32/6.34
% 4.32/6.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.32/6.34
% 4.32/6.34 % ------ iProver source info
% 4.32/6.34
% 4.32/6.34 % git: date: 2026-07-19 20:42:38 +0200
% 4.32/6.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.32/6.34 % git: non_committed_changes: false
% 4.32/6.34
% 4.32/6.34 % ------ Parsing...
% 4.32/6.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.32/6.34
% 4.32/6.34 % ------ 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 %
% 4.32/6.34
% 4.32/6.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.32/6.34 % ------ Proving...
% 4.32/6.34 % ------ Problem Properties
% 4.32/6.34
% 4.32/6.34 %
% 4.32/6.34 % clauses 26
% 4.32/6.34 % conjectures 0
% 4.32/6.34 % EPR 18
% 4.32/6.34 % Horn 23
% 4.32/6.34 % unary 13
% 4.32/6.34 % binary 9
% 4.32/6.34 % lits 49
% 4.32/6.34 % lits eq 0
% 4.32/6.34 % fd_pure 0
% 4.32/6.34 % fd_pseudo 0
% 4.32/6.34 % fd_cond 0
% 4.32/6.34 % fd_pseudo_cond 0
% 4.32/6.34 % AC symbols 0
% 4.32/6.34
% 4.32/6.34 % ------ Schedule dynamic 5 is on
% 4.32/6.34
% 4.32/6.34 % ------ no conjectures: strip conj schedule
% 4.32/6.34
% 4.32/6.34 % ------ no equalities: superposition off
% 4.32/6.34
% 4.32/6.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.32/6.34
% 4.32/6.34
% 4.32/6.34 % ------
% 4.32/6.34 % Current options:
% 4.32/6.34 % ------
% 4.32/6.34
% 4.32/6.34
% 4.32/6.34 %
% 4.32/6.34
% 4.32/6.34 % ------ Proving...
% 4.32/6.34 %
% 4.32/6.34
% 4.32/6.34 % SZS status Theorem for theBenchmark.p
% 4.32/6.34
% 4.32/6.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.32/6.34
% 4.32/6.34
%------------------------------------------------------------------------------