%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS268+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 : n013.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 01:54:30 PM UTC 2026
% Result : Theorem 2.77s 1.17s
% Output : CNFRefutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 17 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 132 ( 53 ~; 44 |; 28 &)
% ( 5 <=>; 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 80 !; 25 ?; 19 :)
% 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(f16,axiom,
! [X0,X1] :
( ( ? [X4] : ~ model(X4,X1)
& ? [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) )
<=> status(X0,X1,wca) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',wca) ).
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(f29,axiom,
? [X0] :
! [X1] : ~ model(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',contradiction) ).
fof(f32,axiom,
? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).
fof(f33,conjecture,
mighta(wca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_wca_thm) ).
fof(f34,negated_conjecture,
~ mighta(wca,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(wca,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] :
( ( ? [X4] : ~ model(X4,X1)
& ? [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) )
<=> status(X0,X1,wca) ),
inference(ennf_transformation,[],[f16]) ).
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] :
( ( ! [X4] : model(X4,X1)
| ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0)
| status(X0,X1,wca) )
& ( ~ status(X0,X1,wca)
| ( ? [X4] : ~ model(X4,X1)
& ? [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f45,plain,
! [X0,X1] :
( ( ! [X4] : model(X4,X1)
| ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0)
| status(X0,X1,wca) )
& ( ~ status(X0,X1,wca)
| ( ? [X4] : ~ model(X4,X1)
& ? [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( ! [X7] : model(X7,X1)
| ! [X6] : ~ model(X6,X1)
| ? [X5] : model(X5,X0)
| status(X0,X1,wca) )
& ( ~ status(X0,X1,wca)
| ( ? [X4] : ~ model(X4,X1)
& ? [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ( ! [X7] : model(X7,X1)
| ! [X6] : ~ model(X6,X1)
| model(sK3(X0),X0)
| status(X0,X1,wca) )
& ( ~ status(X0,X1,wca)
| ( ~ model(sK2(X1),X1)
& model(sK1(X1),X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X3,sK1(X1)),skolemize(X4,sK2(X1)),skolemize(X5,sK3(X0))],[f46]) ).
fof(f48,plain,
( model(sK7,sK6)
& ~ model(sK4,sK6)
& model(sK4,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7)],[f32]) ).
fof(f51,plain,
! [X1] : ~ model(X1,sK17),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f29]) ).
fof(f54,plain,
~ mighta(wca,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(f59,plain,
! [X0,X1,X6,X7] :
( model(X7,X1)
| ~ model(X6,X1)
| model(sK3(X0),X0)
| status(X0,X1,wca) ),
inference(cnf_transformation,[],[f47]) ).
fof(f63,plain,
model(sK7,sK6),
inference(cnf_transformation,[],[f48]) ).
fof(f64,plain,
~ model(sK4,sK6),
inference(cnf_transformation,[],[f48]) ).
fof(f74,plain,
! [X1] : ~ model(X1,sK17),
inference(cnf_transformation,[],[f51]) ).
tcf(c_49,negated_conjecture,
~ mighta(wca,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_53,plain,
! [X0: $i,X1: $i] :
( status(X0,X1,thm)
| model(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( model(X3,X1)
| model(sK3(X2),X2)
| status(X2,X1,wca)
| ~ model(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_59,plain,
~ model(sK4,sK6),
inference(cnf_transformation,[],[f64]) ).
tcf(c_60,plain,
model(sK7,sK6),
inference(cnf_transformation,[],[f63]) ).
tcf(c_69,plain,
! [X0: $i] : ~ model(X0,sK17),
inference(cnf_transformation,[],[f74]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,wca) ),
inference(resolution,[status(thm)],[c_49,c_50]) ).
tcf(c_504,plain,
! [X0: $i] : status(sK17,X0,thm),
inference(superposition,[status(thm)],[c_53,c_69]) ).
tcf(c_540,plain,
! [X0: $i] : ~ status(sK17,X0,wca),
inference(superposition,[status(thm)],[c_504,c_158]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i] :
( model(X1,sK6)
| status(X0,sK6,wca)
| model(sK3(X0),X0) ),
inference(superposition,[status(thm)],[c_60,c_57]) ).
tcf(c_975,plain,
! [X0: $i] :
( model(X0,sK6)
| status(sK17,sK6,wca) ),
inference(superposition,[status(thm)],[c_656,c_69]) ).
tcf(c_978,plain,
! [X0: $i] : model(X0,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_975,c_540]) ).
tcf(c_979,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_978]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS268+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n013.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Sep 23 19:51:38 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 2.77/1.17 % SZS status Started for theBenchmark.p
% 2.77/1.17 % SZS status Theorem for theBenchmark.p
% 2.77/1.17
% 2.77/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.77/1.17
% 2.77/1.17 % ------ iProver source info
% 2.77/1.17
% 2.77/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 2.77/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.77/1.17 % git: non_committed_changes: false
% 2.77/1.17
% 2.77/1.17 % ------ Parsing...
% 2.77/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.77/1.17
% 2.77/1.17 % ------ 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 %
% 2.77/1.17
% 2.77/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.77/1.17 % ------ Proving...
% 2.77/1.17 % ------ Problem Properties
% 2.77/1.17
% 2.77/1.17 %
% 2.77/1.17 % clauses 23
% 2.77/1.17 % conjectures 0
% 2.77/1.17 % EPR 18
% 2.77/1.17 % Horn 21
% 2.77/1.17 % unary 13
% 2.77/1.17 % binary 8
% 2.77/1.17 % lits 36
% 2.77/1.17 % lits eq 0
% 2.77/1.17 % fd_pure 0
% 2.77/1.17 % fd_pseudo 0
% 2.77/1.17 % fd_cond 0
% 2.77/1.17 % fd_pseudo_cond 0
% 2.77/1.17 % AC symbols 0
% 2.77/1.17
% 2.77/1.17 % ------ Schedule dynamic 5 is on
% 2.77/1.17
% 2.77/1.17 % ------ no conjectures: strip conj schedule
% 2.77/1.17
% 2.77/1.17 % ------ no equalities: superposition off
% 2.77/1.17
% 2.77/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.77/1.17
% 2.77/1.17
% 2.77/1.17 % ------
% 2.77/1.17 % Current options:
% 2.77/1.17 % ------
% 2.77/1.17
% 2.77/1.17
% 2.77/1.17 %
% 2.77/1.17
% 2.77/1.17 % ------ Proving...
% 2.77/1.17 %
% 2.77/1.17
% 2.77/1.17 % SZS status Theorem for theBenchmark.p
% 2.77/1.17
% 2.77/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.77/1.18
% 2.77/1.18
%------------------------------------------------------------------------------