%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS152+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 01:53:21 PM UTC 2026
% Result : Theorem 2.43s 0.80s
% Output : Proof 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 54 ( 15 unt; 0 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 240 ( 98 ~; 106 |; 31 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% 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 : 24 ( 2 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] :
( cC10(X)
<=> ( cC4(X)
& cC2(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ~ cC4(X)
| ~ cC2(X)
| cC10(X) )
& ( ( cC4(X)
& cC2(X) )
| ~ cC10(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( ( ~ cC4(X)
| ~ cC2(X)
| cC10(X) )
& ( ( cC4(X)
& cC2(X) )
| ~ cC10(X) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c6,plain,
( ~ cC4(X0)
| ~ cC2(X0)
| cC10(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f14,axiom,
cC2(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f14_nnf,plain,
cC2(iV21081),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c26,plain,
cC2(iV21081),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(p37,plain,
( ~ cC4(iV21081)
| cC10(iV21081) ),
inference(resolution,[status(thm)],[c6,c26]) ).
fof(f15,axiom,
cC4(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f15_nnf,plain,
cC4(iV21081),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c27,plain,
cC4(iV21081),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(p41,plain,
cC10(iV21081),
inference(resolution,[status(thm)],[p37,c27]) ).
fof(f6,axiom,
! [X] :
( cTEST(X)
<=> ( ~ cC8(X)
& cC12(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f6_nnf,plain,
! [X] :
( ( cC8(X)
| ~ cC12(X)
| cTEST(X) )
& ( ( ~ cC8(X)
& cC12(X) )
| ~ cTEST(X) ) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( ( cC8(X)
| ~ cC12(X)
| cTEST(X) )
& ( ( ~ cC8(X)
& cC12(X) )
| ~ cTEST(X) ) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c16,plain,
( cC12(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f7,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f7_nnf,plain,
cTEST(iV21080),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c19,plain,
cTEST(iV21080),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(p38,plain,
cC12(iV21080),
inference(resolution,[status(thm)],[c16,c19]) ).
fof(f1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f1_nnf,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c3,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f0_nnf,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f16,conjecture,
( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f16_neg,negated_conjecture,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f16_nnf,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f16_neg]) ).
fof(f16_sk,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ( ~ xsd_integer(sk3)
& ~ xsd_string(sk3) )
| ( xsd_integer(sk3)
& xsd_string(sk3) )
| cowlNothing(sk2)
| ~ cowlThing(sk2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2,sk3])],[f16_nnf]) ).
cnf(c29,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_integer(sk3)
| xsd_string(sk3)
| cowlNothing(sk2)
| ~ cowlThing(sk2) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p32,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_integer(sk3)
| xsd_string(sk3)
| cowlNothing(sk2) ),
inference(resolution,[status(thm)],[c0,c29]) ).
cnf(p34,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_string(sk3)
| cowlNothing(sk2)
| xsd_string(sk3) ),
inference(resolution,[status(thm)],[c3,p32]) ).
cnf(p35,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| cowlNothing(sk2)
| xsd_string(sk3) ),
inference(factoring,[status(thm)],[p34]) ).
cnf(p36,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| cowlNothing(sk2)
| xsd_string(sk3) ),
inference(resolution,[status(thm)],[p35,c0]) ).
cnf(p39,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| cowlNothing(sk2)
| xsd_string(sk3) ),
inference(resolution,[status(thm)],[p38,p36]) ).
cnf(p42,plain,
( ~ cowlThing(iV21081)
| cowlNothing(sk2)
| xsd_string(sk3) ),
inference(resolution,[status(thm)],[p41,p39]) ).
cnf(p44,plain,
( cowlNothing(sk2)
| xsd_string(sk3) ),
inference(resolution,[status(thm)],[p42,c0]) ).
cnf(c30,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_string(sk3)
| xsd_integer(sk3)
| cowlNothing(sk2)
| ~ cowlThing(sk2) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p33,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_string(sk3)
| xsd_integer(sk3)
| cowlNothing(sk2) ),
inference(resolution,[status(thm)],[c0,c30]) ).
cnf(p45,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_integer(sk3)
| cowlNothing(sk2)
| cowlNothing(sk2) ),
inference(resolution,[status(thm)],[p44,p33]) ).
cnf(p47,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_integer(sk3)
| cowlNothing(sk2) ),
inference(factoring,[status(thm)],[p45]) ).
cnf(p48,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| xsd_integer(sk3)
| cowlNothing(sk2) ),
inference(resolution,[status(thm)],[p47,c0]) ).
cnf(p49,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| xsd_integer(sk3)
| cowlNothing(sk2) ),
inference(resolution,[status(thm)],[p48,p38]) ).
cnf(p50,plain,
( ~ cowlThing(iV21081)
| xsd_integer(sk3)
| cowlNothing(sk2) ),
inference(resolution,[status(thm)],[p49,p41]) ).
cnf(p51,plain,
( xsd_integer(sk3)
| cowlNothing(sk2) ),
inference(resolution,[status(thm)],[p50,c0]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p46,plain,
( ~ xsd_integer(sk3)
| cowlNothing(sk2) ),
inference(resolution,[status(thm)],[p44,c2]) ).
cnf(p52,plain,
( cowlNothing(sk2)
| cowlNothing(sk2) ),
inference(resolution,[status(thm)],[p51,p46]) ).
cnf(p53,plain,
cowlNothing(sk2),
inference(factoring,[status(thm)],[p52]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p54,plain,
$false,
inference(resolution,[status(thm)],[p53,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS152+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 19:35:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.43/0.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.43/0.80 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------