%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS157+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 01:54:18 PM UTC 2026
% Result : Theorem 2.69s 1.17s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 76 ( 14 unt; 0 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 355 ( 147 ~; 146 |; 52 &)
% ( 8 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 51 ( 0 sgn 47 !; 4 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f122,axiom,
! [X0] :
( cC216(X0)
<=> ( cC214xcomp(X0)
& cC64(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).
fof(f133,axiom,
! [X0] :
( cC30(X0)
<=> ( cC14(X0)
& cC28(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
fof(f149,axiom,
! [X0] :
( cC46(X0)
<=> ( cC44(X0)
& cC30(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).
fof(f202,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC46(X0)
& cC216(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_201) ).
fof(f203,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_202) ).
fof(f218,axiom,
cowlThing(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_217) ).
fof(f220,conjecture,
( cC30(iV3102)
& cowlThing(iV3102)
& cC28(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& cC216(iV3102)
& cC44(iV3102)
& cC14(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f221,negated_conjecture,
~ ( cC30(iV3102)
& cowlThing(iV3102)
& cC28(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& cC216(iV3102)
& cC44(iV3102)
& cC14(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f220]) ).
fof(f222,plain,
~ ( cC30(iV3102)
& cowlThing(iV3102)
& cC28(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& cC216(iV3102)
& cC44(iV3102)
& cC14(iV3102)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f221]) ).
fof(f223,plain,
! [X0] :
( cTEST(X0)
=> ( cC46(X0)
& cC216(X0) ) ),
inference(unused_predicate_definition_removal,[],[f202]) ).
fof(f279,plain,
! [X0] :
( ~ cTEST(X0)
| ( cC46(X0)
& cC216(X0) ) ),
inference(ennf_transformation,[],[f223]) ).
fof(f285,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f222]) ).
fof(f286,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f609,plain,
! [X0] :
( ( ~ cC216(X0)
| ( cC214xcomp(X0)
& cC64(X0) ) )
& ( ~ cC214xcomp(X0)
| ~ cC64(X0)
| cC216(X0) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f610,plain,
! [X0] :
( ( ~ cC216(X0)
| ( cC214xcomp(X0)
& cC64(X0) ) )
& ( ~ cC214xcomp(X0)
| ~ cC64(X0)
| cC216(X0) ) ),
inference(flattening,[],[f609]) ).
fof(f637,plain,
! [X0] :
( ( ~ cC30(X0)
| ( cC14(X0)
& cC28(X0) ) )
& ( ~ cC14(X0)
| ~ cC28(X0)
| cC30(X0) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f638,plain,
! [X0] :
( ( ~ cC30(X0)
| ( cC14(X0)
& cC28(X0) ) )
& ( ~ cC14(X0)
| ~ cC28(X0)
| cC30(X0) ) ),
inference(flattening,[],[f637]) ).
fof(f678,plain,
! [X0] :
( ( ~ cC46(X0)
| ( cC44(X0)
& cC30(X0) ) )
& ( ~ cC44(X0)
| ~ cC30(X0)
| cC46(X0) ) ),
inference(nnf_transformation,[],[f149]) ).
fof(f679,plain,
! [X0] :
( ( ~ cC46(X0)
| ( cC44(X0)
& cC30(X0) ) )
& ( ~ cC44(X0)
| ~ cC30(X0)
| cC46(X0) ) ),
inference(flattening,[],[f678]) ).
fof(f821,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f285]) ).
fof(f822,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ( ( xsd_string(sK147)
| ~ xsd_integer(sK147) )
& ( ~ xsd_string(sK147)
| xsd_integer(sK147) ) )
| cowlNothing(sK146)
| ~ cowlThing(sK146) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK146,sK147]),skolemize(X0,sK146),skolemize(X1,sK147)],[f821]) ).
fof(f823,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f824,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f825,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f826,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1127,plain,
! [X0] :
( ~ cC216(X0)
| cC64(X0) ),
inference(cnf_transformation,[],[f610]) ).
fof(f1152,plain,
! [X0] :
( ~ cC30(X0)
| cC14(X0) ),
inference(cnf_transformation,[],[f638]) ).
fof(f1153,plain,
! [X0] :
( ~ cC30(X0)
| cC28(X0) ),
inference(cnf_transformation,[],[f638]) ).
fof(f1191,plain,
! [X0] :
( ~ cC46(X0)
| cC44(X0) ),
inference(cnf_transformation,[],[f679]) ).
fof(f1192,plain,
! [X0] :
( ~ cC46(X0)
| cC30(X0) ),
inference(cnf_transformation,[],[f679]) ).
fof(f1325,plain,
! [X0] :
( ~ cTEST(X0)
| cC46(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1326,plain,
! [X0] :
( ~ cTEST(X0)
| cC216(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1327,plain,
cTEST(iV3102),
inference(cnf_transformation,[],[f203]) ).
fof(f1342,plain,
cowlThing(iV3102),
inference(cnf_transformation,[],[f218]) ).
fof(f1344,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| xsd_string(sK147)
| ~ xsd_integer(sK147)
| cowlNothing(sK146)
| ~ cowlThing(sK146) ),
inference(cnf_transformation,[],[f822]) ).
fof(f1345,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ~ xsd_string(sK147)
| xsd_integer(sK147)
| cowlNothing(sK146)
| ~ cowlThing(sK146) ),
inference(cnf_transformation,[],[f822]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f824]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f823]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f826]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f825]) ).
tcf(c_353,plain,
! [X0: $i] :
( cC64(X0)
| ~ cC216(X0) ),
inference(cnf_transformation,[],[f1127]) ).
tcf(c_379,plain,
! [X0: $i] :
( cC28(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[],[f1153]) ).
tcf(c_380,plain,
! [X0: $i] :
( cC14(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[],[f1152]) ).
tcf(c_418,plain,
! [X0: $i] :
( cC30(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[],[f1192]) ).
tcf(c_419,plain,
! [X0: $i] :
( cC44(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[],[f1191]) ).
tcf(c_551,plain,
! [X0: $i] :
( cC216(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f1326]) ).
tcf(c_552,plain,
! [X0: $i] :
( cC46(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f1325]) ).
tcf(c_553,plain,
cTEST(iV3102),
inference(cnf_transformation,[],[f1327]) ).
tcf(c_568,plain,
cowlThing(iV3102),
inference(cnf_transformation,[],[f1342]) ).
tcf(c_570,negated_conjecture,
( xsd_integer(sK147)
| cowlNothing(sK146)
| ~ cC46(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC14(iV3102)
| ~ xsd_string(sK147)
| ~ cowlThing(sK146)
| ~ cowlThing(iV3102) ),
inference(cnf_transformation,[],[f1345]) ).
tcf(c_571,negated_conjecture,
( xsd_string(sK147)
| cowlNothing(sK146)
| ~ cC46(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC14(iV3102)
| ~ xsd_integer(sK147)
| ~ cowlThing(sK146)
| ~ cowlThing(iV3102) ),
inference(cnf_transformation,[],[f1344]) ).
tcf(c_574,plain,
( cC46(iV3102)
| ~ cTEST(iV3102) ),
inference(instantiation,[status(thm)],[c_552]) ).
tcf(c_575,plain,
( cC216(iV3102)
| ~ cTEST(iV3102) ),
inference(instantiation,[status(thm)],[c_551]) ).
tcf(c_596,plain,
( cC44(iV3102)
| ~ cC46(iV3102) ),
inference(instantiation,[status(thm)],[c_419]) ).
tcf(c_597,plain,
( cC30(iV3102)
| ~ cC46(iV3102) ),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_601,plain,
( cC14(iV3102)
| ~ cC30(iV3102) ),
inference(instantiation,[status(thm)],[c_380]) ).
tcf(c_602,plain,
( cC28(iV3102)
| ~ cC30(iV3102) ),
inference(instantiation,[status(thm)],[c_379]) ).
tcf(c_604,plain,
( cC64(iV3102)
| ~ cC216(iV3102) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_1047,plain,
( xsd_string(sK147)
| cowlNothing(sK146)
| ~ cowlThing(sK146)
| ~ xsd_integer(sK147) ),
inference(global_subsumption_just,[status(thm)],[c_571,c_568,c_553,c_574,c_575,c_596,c_597,c_601,c_602,c_604,c_571]) ).
tcf(c_1048,negated_conjecture,
( xsd_string(sK147)
| cowlNothing(sK146)
| ~ xsd_integer(sK147)
| ~ cowlThing(sK146) ),
inference(renaming,[status(thm)],[c_1047]) ).
tcf(c_1049,plain,
( xsd_integer(sK147)
| cowlNothing(sK146)
| ~ cowlThing(sK146)
| ~ xsd_string(sK147) ),
inference(global_subsumption_just,[status(thm)],[c_570,c_568,c_553,c_574,c_575,c_596,c_597,c_601,c_602,c_604,c_570]) ).
tcf(c_1050,negated_conjecture,
( xsd_integer(sK147)
| cowlNothing(sK146)
| ~ xsd_string(sK147)
| ~ cowlThing(sK146) ),
inference(renaming,[status(thm)],[c_1049]) ).
tcf(c_1051,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_1052,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_1051]) ).
tcf(c_1053,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_1054,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_1053]) ).
tcf(c_3284,plain,
( xsd_integer(sK147)
| cowlNothing(sK146)
| ~ xsd_string(sK147) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1050,c_49]) ).
tcf(c_3285,plain,
( xsd_string(sK147)
| cowlNothing(sK146)
| ~ xsd_integer(sK147) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1048,c_49]) ).
tcf(c_3310,plain,
( xsd_string(sK147)
| ~ xsd_integer(sK147) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3285,c_50]) ).
tcf(c_3311,plain,
( xsd_integer(sK147)
| ~ xsd_string(sK147) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3284,c_50]) ).
tcf(c_3315,plain,
xsd_integer(sK147),
inference(backward_subsumption_resolution,[status(thm)],[c_3311,c_1054]) ).
tcf(c_3317,plain,
xsd_string(sK147),
inference(backward_subsumption_resolution,[status(thm)],[c_3310,c_1054]) ).
tcf(c_5612,plain,
~ xsd_integer(sK147),
inference(resolution,[status(thm)],[c_1052,c_3317]) ).
tcf(c_5613,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5612,c_3315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS157+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 19:33:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 2.69/1.17 % SZS status Started for theBenchmark.p
% 2.69/1.17 % SZS status Theorem for theBenchmark.p
% 2.69/1.17
% 2.69/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.69/1.17
% 2.69/1.17 % ------ iProver source info
% 2.69/1.17
% 2.69/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 2.69/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.69/1.17 % git: non_committed_changes: false
% 2.69/1.17
% 2.69/1.17 % ------ Parsing...
% 2.69/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.69/1.17
% 2.69/1.17 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 2.69/1.17
% 2.69/1.17 % SZS status Theorem for theBenchmark.p
% 2.69/1.17
% 2.69/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.69/1.18
% 2.69/1.18
%------------------------------------------------------------------------------