%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS150+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 : n017.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 1.44s 1.17s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 29 unt; 0 def)
% Number of atoms : 334 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 423 ( 181 ~; 171 |; 60 &)
% ( 9 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 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 : 16 ( 15 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 52 ( 0 sgn 48 !; 4 ?; 14 :)
% 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(f4,axiom,
! [X0] :
( cC12(X0)
<=> ( ~ cC10(X0)
& ~ cC2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f6,axiom,
! [X0] :
( cC16(X0)
<=> ( cC8(X0)
& cC14(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cC18(X0)
<=> ( cC16(X0)
& cTOP(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f9,axiom,
! [X0] :
( cC6(X0)
<=> ( ~ cC4(X0)
& ~ cC2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f11,axiom,
! [X0] :
( cTEST(X0)
<=> ( cTOP(X0)
& cC18(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f13,axiom,
cTEST(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f14,axiom,
cowlThing(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f17,axiom,
~ cC4(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f18,axiom,
cowlThing(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f20,axiom,
~ cC2(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f21,axiom,
~ cC10(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f22,axiom,
~ cC2(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f23,axiom,
cowlThing(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f25,conjecture,
( cC12(iV16562)
& cowlThing(iV16562)
& cC6(iV16561)
& cowlThing(iV16561)
& cC8(iV16560)
& cC14(iV16560)
& cowlThing(iV16560)
& cC16(iV16560)
& cC18(iV16560)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f26,negated_conjecture,
~ ( cC12(iV16562)
& cowlThing(iV16562)
& cC6(iV16561)
& cowlThing(iV16561)
& cC8(iV16560)
& cC14(iV16560)
& cowlThing(iV16560)
& cC16(iV16560)
& cC18(iV16560)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f27,plain,
~ ( cC12(iV16562)
& cowlThing(iV16562)
& cC6(iV16561)
& cowlThing(iV16561)
& cC8(iV16560)
& cC14(iV16560)
& cowlThing(iV16560)
& cC16(iV16560)
& cC18(iV16560)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0] :
( cTEST(X0)
=> ( cTOP(X0)
& cC18(X0) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f29,plain,
! [X0] :
( ~ cTEST(X0)
| ( cTOP(X0)
& cC18(X0) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f32,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f33,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f37,plain,
! [X0] :
( ( ~ cC12(X0)
| ( ~ cC10(X0)
& ~ cC2(X0) ) )
& ( cC10(X0)
| cC2(X0)
| cC12(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f38,plain,
! [X0] :
( ( ~ cC12(X0)
| ( ~ cC10(X0)
& ~ cC2(X0) ) )
& ( cC10(X0)
| cC2(X0)
| cC12(X0) ) ),
inference(flattening,[],[f37]) ).
fof(f42,plain,
! [X0] :
( ( ~ cC16(X0)
| ( cC8(X0)
& cC14(X0) ) )
& ( ~ cC8(X0)
| ~ cC14(X0)
| cC16(X0) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f43,plain,
! [X0] :
( ( ~ cC16(X0)
| ( cC8(X0)
& cC14(X0) ) )
& ( ~ cC8(X0)
| ~ cC14(X0)
| cC16(X0) ) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0] :
( ( ~ cC18(X0)
| ( cC16(X0)
& cTOP(X0) ) )
& ( ~ cC16(X0)
| ~ cTOP(X0)
| cC18(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f45,plain,
! [X0] :
( ( ~ cC18(X0)
| ( cC16(X0)
& cTOP(X0) ) )
& ( ~ cC16(X0)
| ~ cTOP(X0)
| cC18(X0) ) ),
inference(flattening,[],[f44]) ).
fof(f49,plain,
! [X0] :
( ( ~ cC6(X0)
| ( ~ cC4(X0)
& ~ cC2(X0) ) )
& ( cC4(X0)
| cC2(X0)
| cC6(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f50,plain,
! [X0] :
( ( ~ cC6(X0)
| ( ~ cC4(X0)
& ~ cC2(X0) ) )
& ( cC4(X0)
| cC2(X0)
| cC6(X0) ) ),
inference(flattening,[],[f49]) ).
fof(f54,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f55,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ( ( xsd_string(sK5)
| ~ xsd_integer(sK5) )
& ( ~ xsd_string(sK5)
| xsd_integer(sK5) ) )
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f54]) ).
fof(f56,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f57,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f58,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f59,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f65,plain,
! [X0] :
( cC10(X0)
| cC2(X0)
| cC12(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f69,plain,
! [X0] :
( ~ cC16(X0)
| cC8(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f70,plain,
! [X0] :
( ~ cC16(X0)
| cC14(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f72,plain,
! [X0] :
( ~ cC18(X0)
| cC16(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f80,plain,
! [X0] :
( cC4(X0)
| cC2(X0)
| cC6(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f85,plain,
! [X0] :
( ~ cTEST(X0)
| cC18(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f87,plain,
cTEST(iV16560),
inference(cnf_transformation,[],[f13]) ).
fof(f88,plain,
cowlThing(iV16560),
inference(cnf_transformation,[],[f14]) ).
fof(f91,plain,
~ cC4(iV16561),
inference(cnf_transformation,[],[f17]) ).
fof(f92,plain,
cowlThing(iV16561),
inference(cnf_transformation,[],[f18]) ).
fof(f94,plain,
~ cC2(iV16561),
inference(cnf_transformation,[],[f20]) ).
fof(f95,plain,
~ cC10(iV16562),
inference(cnf_transformation,[],[f21]) ).
fof(f96,plain,
~ cC2(iV16562),
inference(cnf_transformation,[],[f22]) ).
fof(f97,plain,
cowlThing(iV16562),
inference(cnf_transformation,[],[f23]) ).
fof(f99,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_string(sK5)
| ~ xsd_integer(sK5)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f100,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ xsd_string(sK5)
| xsd_integer(sK5)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f57]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f56]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_56,plain,
! [X0: $i] :
( cC12(X0)
| cC2(X0)
| cC10(X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_63,plain,
! [X0: $i] :
( cC14(X0)
| ~ cC16(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_64,plain,
! [X0: $i] :
( cC8(X0)
| ~ cC16(X0) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_67,plain,
! [X0: $i] :
( cC16(X0)
| ~ cC18(X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_71,plain,
! [X0: $i] :
( cC6(X0)
| cC4(X0)
| cC2(X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_77,plain,
! [X0: $i] :
( cC18(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_80,plain,
cTEST(iV16560),
inference(cnf_transformation,[],[f87]) ).
tcf(c_81,plain,
cowlThing(iV16560),
inference(cnf_transformation,[],[f88]) ).
tcf(c_84,plain,
~ cC4(iV16561),
inference(cnf_transformation,[],[f91]) ).
tcf(c_85,plain,
cowlThing(iV16561),
inference(cnf_transformation,[],[f92]) ).
tcf(c_87,plain,
~ cC2(iV16561),
inference(cnf_transformation,[],[f94]) ).
tcf(c_88,plain,
~ cC10(iV16562),
inference(cnf_transformation,[],[f95]) ).
tcf(c_89,plain,
~ cC2(iV16562),
inference(cnf_transformation,[],[f96]) ).
tcf(c_90,plain,
cowlThing(iV16562),
inference(cnf_transformation,[],[f97]) ).
tcf(c_92,negated_conjecture,
( xsd_integer(sK5)
| cowlNothing(sK4)
| ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ xsd_string(sK5)
| ~ cowlThing(sK4)
| ~ cowlThing(iV16561)
| ~ cowlThing(iV16562)
| ~ cowlThing(iV16560) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_93,negated_conjecture,
( xsd_string(sK5)
| cowlNothing(sK4)
| ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ xsd_integer(sK5)
| ~ cowlThing(sK4)
| ~ cowlThing(iV16561)
| ~ cowlThing(iV16562)
| ~ cowlThing(iV16560) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_96,plain,
( cC18(iV16560)
| ~ cTEST(iV16560) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_97,plain,
( cC16(iV16560)
| ~ cC18(iV16560) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_98,plain,
( cC8(iV16560)
| ~ cC16(iV16560) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_99,plain,
( cC14(iV16560)
| ~ cC16(iV16560) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_123,negated_conjecture,
( xsd_string(sK5)
| cowlNothing(sK4)
| ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_integer(sK5)
| ~ cowlThing(sK4) ),
inference(global_subsumption_just,[status(thm)],[c_93,c_90,c_85,c_81,c_80,c_96,c_97,c_98,c_99,c_93]) ).
tcf(c_125,negated_conjecture,
( xsd_integer(sK5)
| cowlNothing(sK4)
| ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_string(sK5)
| ~ cowlThing(sK4) ),
inference(global_subsumption_just,[status(thm)],[c_92,c_90,c_85,c_81,c_80,c_96,c_97,c_98,c_99,c_92]) ).
tcf(c_127,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_128,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_127]) ).
tcf(c_129,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_130,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_129]) ).
tcf(c_275,plain,
( xsd_integer(sK5)
| cowlNothing(sK4)
| ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_string(sK5) ),
inference(backward_subsumption_resolution,[status(thm)],[c_125,c_49]) ).
tcf(c_276,plain,
( xsd_string(sK5)
| cowlNothing(sK4)
| ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_integer(sK5) ),
inference(backward_subsumption_resolution,[status(thm)],[c_123,c_49]) ).
tcf(c_283,plain,
( xsd_string(sK5)
| ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_integer(sK5) ),
inference(backward_subsumption_resolution,[status(thm)],[c_276,c_50]) ).
tcf(c_284,plain,
( xsd_integer(sK5)
| ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_string(sK5) ),
inference(backward_subsumption_resolution,[status(thm)],[c_275,c_50]) ).
tcf(c_302,plain,
( xsd_string(sK5)
| ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(backward_subsumption_resolution,[status(thm)],[c_283,c_130]) ).
tcf(c_454,plain,
( ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_integer(sK5) ),
inference(resolution,[status(thm)],[c_128,c_302]) ).
tcf(c_455,plain,
( ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(global_subsumption_just,[status(thm)],[c_454,c_284,c_302,c_454]) ).
tcf(c_616,plain,
( cC12(iV16562)
| cC2(iV16562) ),
inference(resolution,[status(thm)],[c_56,c_88]) ).
tcf(c_754,plain,
( cC6(iV16561)
| cC2(iV16561) ),
inference(resolution,[status(thm)],[c_71,c_84]) ).
tcf(c_755,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_754,c_616,c_455,c_87,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS150+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 19:27:16 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.44/1.17 % SZS status Started for theBenchmark.p
% 1.44/1.17 % SZS status Theorem for theBenchmark.p
% 1.44/1.17
% 1.44/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.44/1.17
% 1.44/1.17 % ------ iProver source info
% 1.44/1.17
% 1.44/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.44/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.44/1.17 % git: non_committed_changes: false
% 1.44/1.17
% 1.44/1.17 % ------ Parsing...
% 1.44/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.44/1.17
% 1.44/1.17 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 1.44/1.17
% 1.44/1.17 % SZS status Theorem for theBenchmark.p
% 1.44/1.17
% 1.44/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.44/1.17
% 1.44/1.17
%------------------------------------------------------------------------------