%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS160+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 : n001.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 1.13s 1.17s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 21 unt; 0 def)
% Number of atoms : 207 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 248 ( 106 ~; 104 |; 30 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 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 : 11 ( 10 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 35 ( 0 sgn 31 !; 4 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
! [X0] :
( cC10(X0)
<=> ( cC2(X0)
& cC4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f13,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC12(X0)
& cC8xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f14,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f16,axiom,
cowlThing(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f19,axiom,
cC4(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f21,axiom,
cC2(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f22,axiom,
cowlThing(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f23,conjecture,
( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f24,negated_conjecture,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f25,plain,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0] :
( cTEST(X0)
=> ( cC12(X0)
& cC8xcomp(X0) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f33,plain,
! [X0] :
( ~ cTEST(X0)
| ( cC12(X0)
& cC8xcomp(X0) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f35,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f36,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f37,plain,
! [X0] :
( ( ~ cC10(X0)
| ( cC2(X0)
& cC4(X0) ) )
& ( ~ cC2(X0)
| ~ cC4(X0)
| cC10(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f38,plain,
! [X0] :
( ( ~ cC10(X0)
| ( cC2(X0)
& cC4(X0) ) )
& ( ~ cC2(X0)
| ~ cC4(X0)
| cC10(X0) ) ),
inference(flattening,[],[f37]) ).
fof(f60,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f61,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ( ( xsd_string(sK8)
| ~ xsd_integer(sK8) )
& ( ~ xsd_string(sK8)
| xsd_integer(sK8) ) )
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f60]) ).
fof(f62,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f63,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f65,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f68,plain,
! [X0] :
( ~ cC2(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f88,plain,
! [X0] :
( ~ cTEST(X0)
| cC12(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f90,plain,
cTEST(iV21080),
inference(cnf_transformation,[],[f14]) ).
fof(f92,plain,
cowlThing(iV21080),
inference(cnf_transformation,[],[f16]) ).
fof(f95,plain,
cC4(iV21081),
inference(cnf_transformation,[],[f19]) ).
fof(f97,plain,
cC2(iV21081),
inference(cnf_transformation,[],[f21]) ).
fof(f98,plain,
cowlThing(iV21081),
inference(cnf_transformation,[],[f22]) ).
fof(f99,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_string(sK8)
| ~ xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f61]) ).
fof(f100,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_string(sK8)
| xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f63]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f62]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_53,plain,
! [X0: $i] :
( cC10(X0)
| ~ cC2(X0)
| ~ cC4(X0) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_76,plain,
! [X0: $i] :
( cC12(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_77,plain,
cTEST(iV21080),
inference(cnf_transformation,[],[f90]) ).
tcf(c_79,plain,
cowlThing(iV21080),
inference(cnf_transformation,[],[f92]) ).
tcf(c_82,plain,
cC4(iV21081),
inference(cnf_transformation,[],[f95]) ).
tcf(c_84,plain,
cC2(iV21081),
inference(cnf_transformation,[],[f97]) ).
tcf(c_85,plain,
cowlThing(iV21081),
inference(cnf_transformation,[],[f98]) ).
tcf(c_86,negated_conjecture,
( xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ xsd_string(sK8)
| ~ cowlThing(sK7)
| ~ cowlThing(iV21081)
| ~ cowlThing(iV21080) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_87,negated_conjecture,
( xsd_string(sK8)
| cowlNothing(sK7)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ xsd_integer(sK8)
| ~ cowlThing(sK7)
| ~ cowlThing(iV21081)
| ~ cowlThing(iV21080) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_90,plain,
( cC12(iV21080)
| ~ cTEST(iV21080) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_115,plain,
( xsd_string(sK8)
| cowlNothing(sK7)
| ~ cowlThing(sK7)
| ~ xsd_integer(sK8)
| ~ cC10(iV21081) ),
inference(global_subsumption_just,[status(thm)],[c_87,c_85,c_79,c_77,c_90,c_87]) ).
tcf(c_116,negated_conjecture,
( xsd_string(sK8)
| cowlNothing(sK7)
| ~ cC10(iV21081)
| ~ xsd_integer(sK8)
| ~ cowlThing(sK7) ),
inference(renaming,[status(thm)],[c_115]) ).
tcf(c_117,plain,
( xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cowlThing(sK7)
| ~ xsd_string(sK8)
| ~ cC10(iV21081) ),
inference(global_subsumption_just,[status(thm)],[c_86,c_85,c_79,c_77,c_90,c_86]) ).
tcf(c_118,negated_conjecture,
( xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cC10(iV21081)
| ~ xsd_string(sK8)
| ~ cowlThing(sK7) ),
inference(renaming,[status(thm)],[c_117]) ).
tcf(c_119,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_120,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_119]) ).
tcf(c_121,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_122,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_121]) ).
tcf(c_267,plain,
( xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cC10(iV21081)
| ~ xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_118,c_49]) ).
tcf(c_268,plain,
( xsd_string(sK8)
| cowlNothing(sK7)
| ~ cC10(iV21081)
| ~ xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_116,c_49]) ).
tcf(c_281,plain,
( xsd_string(sK8)
| ~ cC10(iV21081)
| ~ xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_268,c_50]) ).
tcf(c_282,plain,
( xsd_integer(sK8)
| ~ cC10(iV21081)
| ~ xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_267,c_50]) ).
tcf(c_288,plain,
( xsd_integer(sK8)
| ~ cC10(iV21081) ),
inference(backward_subsumption_resolution,[status(thm)],[c_282,c_122]) ).
tcf(c_290,plain,
( xsd_string(sK8)
| ~ cC10(iV21081) ),
inference(backward_subsumption_resolution,[status(thm)],[c_281,c_122]) ).
tcf(c_445,plain,
( ~ cC10(iV21081)
| ~ xsd_integer(sK8) ),
inference(resolution,[status(thm)],[c_120,c_290]) ).
tcf(c_446,plain,
~ cC10(iV21081),
inference(global_subsumption_just,[status(thm)],[c_445,c_288,c_445]) ).
tcf(c_603,plain,
( cC10(iV21081)
| ~ cC4(iV21081) ),
inference(resolution,[status(thm)],[c_53,c_84]) ).
tcf(c_604,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_603,c_446,c_82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n001.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 19:38:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 1.13/1.17 % SZS status Started for theBenchmark.p
% 1.13/1.17 % SZS status Theorem for theBenchmark.p
% 1.13/1.17
% 1.13/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.13/1.17
% 1.13/1.17 % ------ iProver source info
% 1.13/1.17
% 1.13/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.13/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.13/1.17 % git: non_committed_changes: false
% 1.13/1.17
% 1.13/1.17 % ------ Parsing...
% 1.13/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.13/1.17
% 1.13/1.17 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s%
% 1.13/1.17
% 1.13/1.17 % SZS status Theorem for theBenchmark.p
% 1.13/1.17
% 1.13/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.13/1.17
% 1.13/1.17
%------------------------------------------------------------------------------