%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS129+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 01:54:13 PM UTC 2026
% Result : Theorem 1.24s 6.28s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 54 ( 11 unt; 0 def)
% Number of atoms : 158 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 189 ( 85 ~; 76 |; 21 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 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 : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 57 ( 0 sgn 50 !; 7 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f14,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f16,axiom,
! [X0] :
( cEuroMP(X0)
<=> ? [X1] :
( cowlThing(X1)
& risEuroMPFrom(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f18,axiom,
! [X0,X1] :
( risEuroMPFrom(X0,X1)
<=> rhasEuroMP(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
rhasEuroMP(iUK,iKinnock),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f27,conjecture,
( cEuroMP(iKinnock)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f28,negated_conjecture,
~ ( cEuroMP(iKinnock)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
~ ( cEuroMP(iKinnock)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f28]) ).
fof(f55,plain,
( ~ cEuroMP(iKinnock)
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f56,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f59,plain,
! [X0] :
( ( ~ cEuroMP(X0)
| ? [X1] :
( cowlThing(X1)
& risEuroMPFrom(X0,X1) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ risEuroMPFrom(X0,X1) )
| cEuroMP(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f60,plain,
! [X0] :
( ( ~ cEuroMP(X0)
| ? [X2] :
( cowlThing(X2)
& risEuroMPFrom(X0,X2) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ risEuroMPFrom(X0,X1) )
| cEuroMP(X0) ) ),
inference(rectify,[],[f59]) ).
fof(f61,plain,
! [X0] :
( ( ~ cEuroMP(X0)
| ( cowlThing(sK0(X0))
& risEuroMPFrom(X0,sK0(X0)) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ risEuroMPFrom(X0,X1) )
| cEuroMP(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ( ~ risEuroMPFrom(X0,X1)
| rhasEuroMP(X1,X0) )
& ( ~ rhasEuroMP(X1,X0)
| risEuroMPFrom(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f63,plain,
( ~ cEuroMP(iKinnock)
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f64,plain,
( ~ cEuroMP(iKinnock)
| ( ( xsd_string(sK2)
| ~ xsd_integer(sK2) )
& ( ~ xsd_string(sK2)
| xsd_integer(sK2) ) )
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f63]) ).
fof(f77,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f78,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f79,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f80,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f90,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ risEuroMPFrom(X0,X1)
| cEuroMP(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f93,plain,
! [X0,X1] :
( ~ rhasEuroMP(X1,X0)
| risEuroMPFrom(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f101,plain,
rhasEuroMP(iUK,iKinnock),
inference(cnf_transformation,[],[f26]) ).
fof(f102,plain,
( ~ cEuroMP(iKinnock)
| xsd_string(sK2)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f103,plain,
( ~ cEuroMP(iKinnock)
| ~ xsd_string(sK2)
| xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f78]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f77]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( cEuroMP(X0)
| ~ cowlThing(X1)
| ~ risEuroMPFrom(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( risEuroMPFrom(X1,X0)
| ~ rhasEuroMP(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_73,plain,
rhasEuroMP(iUK,iKinnock),
inference(cnf_transformation,[],[f101]) ).
tcf(c_74,negated_conjecture,
( xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cEuroMP(iKinnock)
| ~ xsd_string(sK2)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_75,negated_conjecture,
( xsd_string(sK2)
| cowlNothing(sK1)
| ~ cEuroMP(iKinnock)
| ~ xsd_integer(sK2)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_87,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_88,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_87]) ).
tcf(c_89,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_90,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_89]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( risEuroMPFrom(X1,X0)
| ~ rhasEuroMP(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_64]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( cEuroMP(X0)
| ~ risEuroMPFrom(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_60,c_49]) ).
tcf(c_160,plain,
( xsd_string(sK2)
| cowlNothing(sK1)
| ~ cEuroMP(iKinnock)
| ~ xsd_integer(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_75,c_49]) ).
tcf(c_161,plain,
( xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cEuroMP(iKinnock)
| ~ xsd_string(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_74,c_49]) ).
tcf(c_191,plain,
( xsd_integer(sK2)
| ~ cEuroMP(iKinnock)
| ~ xsd_string(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_161,c_50]) ).
tcf(c_192,plain,
( xsd_string(sK2)
| ~ cEuroMP(iKinnock)
| ~ xsd_integer(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_160,c_50]) ).
tcf(c_198,plain,
( xsd_integer(sK2)
| ~ cEuroMP(iKinnock) ),
inference(backward_subsumption_resolution,[status(thm)],[c_191,c_90]) ).
tcf(c_200,plain,
( xsd_string(sK2)
| ~ cEuroMP(iKinnock) ),
inference(backward_subsumption_resolution,[status(thm)],[c_192,c_90]) ).
tcf(c_308,plain,
! [X0: $i] :
( ~ cEuroMP(iKinnock)
| ~ xsd_integer(X0)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_200]) ).
tcf(c_309,plain,
( ~ cEuroMP(iKinnock)
| ~ xsd_integer(sK2) ),
inference(unflattening,[status(thm)],[c_308]) ).
tcf(c_310,plain,
~ cEuroMP(iKinnock),
inference(global_subsumption_just,[status(thm)],[c_309,c_198,c_309]) ).
tcf(c_325,plain,
! [X0: $i,X1: $i] :
( ~ risEuroMPFrom(X0,X1)
| ( X0 != iKinnock ) ),
inference(resolution_lifted,[status(thm)],[c_159,c_310]) ).
tcf(c_326,plain,
! [X0: $i] : ~ risEuroMPFrom(iKinnock,X0),
inference(unflattening,[status(thm)],[c_325]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i] :
( risEuroMPFrom(X1,X0)
| ( X1 != iKinnock )
| ( X0 != iUK ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_73]) ).
tcf(c_345,plain,
risEuroMPFrom(iKinnock,iUK),
inference(unflattening,[status(thm)],[c_344]) ).
tcf(c_348,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_345,c_326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS129+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/5.36 % Computer : n015.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Wed Sep 23 19:30:46 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 1.24/6.28 % SZS status Started for theBenchmark.p
% 1.24/6.28 % SZS status Theorem for theBenchmark.p
% 1.24/6.28
% 1.24/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.24/6.28
% 1.24/6.28 % ------ iProver source info
% 1.24/6.28
% 1.24/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.24/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.24/6.28 % git: non_committed_changes: false
% 1.24/6.28
% 1.24/6.28 % ------ Parsing...
% 1.24/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.24/6.28
% 1.24/6.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 12 0s sf_e pe_s pe:1:0s pe:2:0s%
% 1.24/6.28
% 1.24/6.28 % SZS status Theorem for theBenchmark.p
% 1.24/6.28
% 1.24/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.24/6.28
% 1.24/6.28
%------------------------------------------------------------------------------