%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS152+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 : n018.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 01:54:17 PM UTC 2026
% Result : Theorem 0.44s 1.29s
% Output : CNFRefutation 0.44s
% 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 : 251 ( 109 ~; 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)
<=> ( cC4(X0)
& cC2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f7,axiom,
! [X0] :
( cTEST(X0)
<=> ( ~ cC8(X0)
& cC12(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
cowlThing(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f14,axiom,
cowlThing(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f15,axiom,
cC2(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f16,axiom,
cC4(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f17,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(f18,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)],[f17]) ).
fof(f19,plain,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f18]) ).
fof(f20,plain,
! [X0] :
( cTEST(X0)
=> ( ~ cC8(X0)
& cC12(X0) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f26,plain,
! [X0] :
( ~ cTEST(X0)
| ( ~ cC8(X0)
& cC12(X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f28,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f29,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f30,plain,
! [X0] :
( ( ~ cC10(X0)
| ( cC4(X0)
& cC2(X0) ) )
& ( ~ cC4(X0)
| ~ cC2(X0)
| cC10(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f31,plain,
! [X0] :
( ( ~ cC10(X0)
| ( cC4(X0)
& cC2(X0) ) )
& ( ~ cC4(X0)
| ~ cC2(X0)
| cC10(X0) ) ),
inference(flattening,[],[f30]) ).
fof(f35,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,[],[f28]) ).
fof(f36,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ( ( 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)],[f35]) ).
fof(f37,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f40,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f43,plain,
! [X0] :
( ~ cC4(X0)
| ~ cC2(X0)
| cC10(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f50,plain,
! [X0] :
( ~ cTEST(X0)
| cC12(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
cTEST(iV21080),
inference(cnf_transformation,[],[f8]) ).
fof(f52,plain,
cowlThing(iV21080),
inference(cnf_transformation,[],[f9]) ).
fof(f57,plain,
cowlThing(iV21081),
inference(cnf_transformation,[],[f14]) ).
fof(f58,plain,
cC2(iV21081),
inference(cnf_transformation,[],[f15]) ).
fof(f59,plain,
cC4(iV21081),
inference(cnf_transformation,[],[f16]) ).
fof(f60,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_string(sK2)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f61,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_string(sK2)
| xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f38]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f37]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_53,plain,
! [X0: $i] :
( cC10(X0)
| ~ cC4(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_61,plain,
! [X0: $i] :
( cC12(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_63,plain,
cTEST(iV21080),
inference(cnf_transformation,[],[f51]) ).
tcf(c_64,plain,
cowlThing(iV21080),
inference(cnf_transformation,[],[f52]) ).
tcf(c_69,plain,
cowlThing(iV21081),
inference(cnf_transformation,[],[f57]) ).
tcf(c_70,plain,
cC2(iV21081),
inference(cnf_transformation,[],[f58]) ).
tcf(c_71,plain,
cC4(iV21081),
inference(cnf_transformation,[],[f59]) ).
tcf(c_72,negated_conjecture,
( xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ xsd_string(sK2)
| ~ cowlThing(sK1)
| ~ cowlThing(iV21081)
| ~ cowlThing(iV21080) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_73,negated_conjecture,
( xsd_string(sK2)
| cowlNothing(sK1)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ xsd_integer(sK2)
| ~ cowlThing(sK1)
| ~ cowlThing(iV21081)
| ~ cowlThing(iV21080) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_76,plain,
( cC12(iV21080)
| ~ cTEST(iV21080) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_86,plain,
( xsd_string(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK2)
| ~ cC10(iV21081) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_69,c_64,c_63,c_76,c_73]) ).
tcf(c_87,negated_conjecture,
( xsd_string(sK2)
| cowlNothing(sK1)
| ~ cC10(iV21081)
| ~ xsd_integer(sK2)
| ~ cowlThing(sK1) ),
inference(renaming,[status(thm)],[c_86]) ).
tcf(c_88,plain,
( xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| ~ cC10(iV21081) ),
inference(global_subsumption_just,[status(thm)],[c_72,c_69,c_64,c_63,c_76,c_72]) ).
tcf(c_89,negated_conjecture,
( xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cC10(iV21081)
| ~ xsd_string(sK2)
| ~ cowlThing(sK1) ),
inference(renaming,[status(thm)],[c_88]) ).
tcf(c_90,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_91,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_90]) ).
tcf(c_92,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_93,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_92]) ).
tcf(c_166,plain,
( xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cC10(iV21081)
| ~ xsd_string(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_89,c_49]) ).
tcf(c_167,plain,
( xsd_string(sK2)
| cowlNothing(sK1)
| ~ cC10(iV21081)
| ~ xsd_integer(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_87,c_49]) ).
tcf(c_176,plain,
( xsd_string(sK2)
| ~ cC10(iV21081)
| ~ xsd_integer(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_167,c_50]) ).
tcf(c_177,plain,
( xsd_integer(sK2)
| ~ cC10(iV21081)
| ~ xsd_string(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_166,c_50]) ).
tcf(c_187,plain,
( xsd_integer(sK2)
| ~ cC10(iV21081) ),
inference(backward_subsumption_resolution,[status(thm)],[c_177,c_93]) ).
tcf(c_189,plain,
( xsd_string(sK2)
| ~ cC10(iV21081) ),
inference(backward_subsumption_resolution,[status(thm)],[c_176,c_93]) ).
tcf(c_262,plain,
( ~ cC10(iV21081)
| ~ xsd_integer(sK2) ),
inference(resolution,[status(thm)],[c_91,c_189]) ).
tcf(c_263,plain,
~ cC10(iV21081),
inference(global_subsumption_just,[status(thm)],[c_262,c_187,c_262]) ).
tcf(c_334,plain,
( cC10(iV21081)
| ~ cC4(iV21081) ),
inference(resolution,[status(thm)],[c_53,c_70]) ).
tcf(c_335,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_334,c_263,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS152+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 19:34:17 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 0.16/0.43
% 0.16/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.43
% 0.16/0.43 % Detected problem language: tptp
% 0.16/0.45 % Proving...
% 0.44/1.29 % SZS status Started for theBenchmark.p
% 0.44/1.29 % SZS status Theorem for theBenchmark.p
% 0.44/1.29
% 0.44/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.44/1.29
% 0.44/1.29 % ------ iProver source info
% 0.44/1.29
% 0.44/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.44/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.44/1.29 % git: non_committed_changes: false
% 0.44/1.29
% 0.44/1.29 % ------ Parsing...
% 0.44/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.44/1.29
% 0.44/1.29 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 0.44/1.29
% 0.44/1.29 % SZS status Theorem for theBenchmark.p
% 0.44/1.29
% 0.44/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.29
% 0.44/1.29
%------------------------------------------------------------------------------