%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS202+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 : n003.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 01:54:24 PM UTC 2026
% Result : Theorem 2.46s 1.17s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 17 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 128 ( 53 ~; 49 |; 19 &)
% ( 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; 6 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 76 !; 20 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
<=> ? [X3] : model(X3,X1) )
<=> status(X0,X1,esa) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(f22,axiom,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
<=> nota(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(f28,axiom,
? [X0] :
( ? [X2] : ~ model(X2,X0)
& ? [X1] : model(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',satisfiable) ).
fof(f33,conjecture,
nota(esa,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_esa_thm) ).
fof(f34,negated_conjecture,
~ nota(esa,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nota(esa,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(f39,plain,
! [X0,X1] :
( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| nota(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(f120,plain,
! [X1] : model(X1,sK41),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X0,sK41)],[f27]) ).
fof(f121,plain,
( ~ model(sK44,sK42)
& model(sK43,sK42) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43,sK44]),skolemize(X0,sK42),skolemize(X1,sK43),skolemize(X2,sK44)],[f28]) ).
fof(f133,plain,
! [X0,X1,X6,X7] :
( ~ model(X7,X0)
| ~ model(X6,X1)
| status(X0,X1,esa) ),
inference(cnf_transformation,[],[f58]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0)
| nota(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f204,plain,
! [X1] : model(X1,sK41),
inference(cnf_transformation,[],[f120]) ).
fof(f205,plain,
~ model(sK44,sK42),
inference(cnf_transformation,[],[f121]) ).
fof(f206,plain,
model(sK43,sK42),
inference(cnf_transformation,[],[f121]) ).
fof(f219,plain,
~ nota(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_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( model(X2,X1)
| ~ model(X2,X0)
| ~ status(X0,X1,thm) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( nota(X2,X3)
| 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_128,plain,
model(sK43,sK42),
inference(cnf_transformation,[],[f206]) ).
tcf(c_129,plain,
~ model(sK44,sK42),
inference(cnf_transformation,[],[f205]) ).
tcf(c_142,negated_conjecture,
~ nota(esa,thm),
inference(cnf_transformation,[],[f219]) ).
tcf(c_973,plain,
! [X0: $i,X1: $i] :
( status(X0,X1,thm)
| ~ status(X0,X1,esa) ),
inference(resolution,[status(thm)],[c_122,c_142]) ).
tcf(c_1015,plain,
! [X0: $i,X1: $i] :
( status(X0,X1,thm)
| ~ status(X0,X1,esa) ),
inference(prop_impl_just,[status(thm)],[c_973]) ).
tcf(c_2071,plain,
! [X0: $i] :
( model(sK44,sK42)
| ~ model(sK44,X0)
| ~ status(X0,sK42,thm) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_2797,plain,
! [X0: $i,X1: $i] :
( status(X1,sK42,esa)
| ~ model(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_57]) ).
tcf(c_4527,plain,
( model(sK44,sK42)
| ~ model(sK44,sK41)
| ~ status(sK41,sK42,thm) ),
inference(instantiation,[status(thm)],[c_2071]) ).
tcf(c_4528,plain,
model(sK44,sK41),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_5176,plain,
status(sK41,sK42,esa),
inference(superposition,[status(thm)],[c_127,c_2797]) ).
tcf(c_6332,plain,
status(sK41,sK42,thm),
inference(superposition,[status(thm)],[c_5176,c_1015]) ).
tcf(c_6339,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6332,c_4528,c_4527,c_129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS202+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 19:42:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 2.46/1.17 % SZS status Started for theBenchmark.p
% 2.46/1.17 % SZS status Theorem for theBenchmark.p
% 2.46/1.17
% 2.46/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.46/1.17
% 2.46/1.17 % ------ iProver source info
% 2.46/1.17
% 2.46/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 2.46/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.46/1.17 % git: non_committed_changes: false
% 2.46/1.17
% 2.46/1.17 % ------ Parsing...
% 2.46/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.46/1.17
% 2.46/1.17 % ------ 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 %
% 2.46/1.17
% 2.46/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.46/1.17 % ------ Proving...
% 2.46/1.17 % ------ Problem Properties
% 2.46/1.17
% 2.46/1.17 %
% 2.46/1.17 % clauses 91
% 2.46/1.17 % conjectures 0
% 2.46/1.17 % EPR 39
% 2.46/1.17 % Horn 72
% 2.46/1.17 % unary 13
% 2.46/1.17 % binary 47
% 2.46/1.17 % lits 220
% 2.46/1.17 % lits eq 0
% 2.46/1.17 % fd_pure 0
% 2.46/1.17 % fd_pseudo 0
% 2.46/1.17 % fd_cond 0
% 2.46/1.17 % fd_pseudo_cond 0
% 2.46/1.17 % AC symbols 0
% 2.46/1.17
% 2.46/1.17 % ------ Schedule dynamic 5 is on
% 2.46/1.17
% 2.46/1.17 % ------ no conjectures: strip conj schedule
% 2.46/1.17
% 2.46/1.17 % ------ no equalities: superposition off
% 2.46/1.17
% 2.46/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.46/1.17
% 2.46/1.17
% 2.46/1.17 % ------
% 2.46/1.17 % Current options:
% 2.46/1.17 % ------
% 2.46/1.17
% 2.46/1.17
% 2.46/1.17 %
% 2.46/1.17
% 2.46/1.17 % ------ Proving...
% 2.46/1.17 %
% 2.46/1.17
% 2.46/1.17 % SZS status Theorem for theBenchmark.p
% 2.46/1.17
% 2.46/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.46/1.17
% 2.46/1.17
%------------------------------------------------------------------------------