%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 6.15s 1.29s
% Output : Proof 6.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 10 unt; 0 def)
% Number of atoms : 190 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 237 ( 96 ~; 105 |; 31 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 25 ( 2 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,axiom,
! [X] :
( cTEST(X)
<=> ( cC116(X)
& cC140(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
fof(f127_nnf,plain,
! [X] :
( ( ~ cC116(X)
| ~ cC140(X)
| cTEST(X) )
& ( ( cC116(X)
& cC140(X) )
| ~ cTEST(X) ) ),
inference(nnf_transformation,[status(thm)],[f127]) ).
fof(f127_sk,plain,
! [X] :
( ( ~ cC116(X)
| ~ cC140(X)
| cTEST(X) )
& ( ( cC116(X)
& cC140(X) )
| ~ cTEST(X) ) ),
inference(skolemisation,[status(esa)],[f127_nnf]) ).
cnf(c324,plain,
( cC116(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f127_sk]) ).
fof(f131,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
fof(f131_nnf,plain,
cTEST(iV5475),
inference(nnf_transformation,[status(thm)],[f131]) ).
cnf(c329,plain,
cTEST(iV5475),
inference(cnf_transformation,[status(esa)],[f131_nnf]) ).
cnf(p353,plain,
cC116(iV5475),
inference(resolution,[status(thm)],[c324,c329]) ).
fof(f1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/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/sandbox/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(f145,conjecture,
( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f145_neg,negated_conjecture,
~ ( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f145]) ).
fof(f145_nnf,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f145_neg]) ).
fof(f145_sk,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ( ~ xsd_integer(sk95)
& ~ xsd_string(sk95) )
| ( xsd_integer(sk95)
& xsd_string(sk95) )
| cowlNothing(sk94)
| ~ cowlThing(sk94) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk94,sk95])],[f145_nnf]) ).
cnf(c344,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ xsd_integer(sk95)
| xsd_string(sk95)
| cowlNothing(sk94)
| ~ cowlThing(sk94) ),
inference(cnf_transformation,[status(esa)],[f145_sk]) ).
cnf(p347,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ xsd_integer(sk95)
| xsd_string(sk95)
| cowlNothing(sk94) ),
inference(resolution,[status(thm)],[c0,c344]) ).
cnf(p349,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| xsd_string(sk95)
| cowlNothing(sk94)
| xsd_string(sk95) ),
inference(resolution,[status(thm)],[c3,p347]) ).
cnf(p350,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| cowlNothing(sk94)
| xsd_string(sk95) ),
inference(factoring,[status(thm)],[p349]) ).
cnf(p354,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| cowlNothing(sk94)
| xsd_string(sk95) ),
inference(resolution,[status(thm)],[p353,p350]) ).
cnf(c323,plain,
( cC140(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f127_sk]) ).
cnf(p351,plain,
cC140(iV5475),
inference(resolution,[status(thm)],[c323,c329]) ).
cnf(p355,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| cowlNothing(sk94)
| xsd_string(sk95) ),
inference(resolution,[status(thm)],[p354,p351]) ).
cnf(p356,plain,
( ~ cC138(iV5475)
| cowlNothing(sk94)
| xsd_string(sk95) ),
inference(resolution,[status(thm)],[p355,c0]) ).
fof(f49,axiom,
! [X] :
( cC140(X)
<=> ( cC138(X)
& cTOP(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f49_nnf,plain,
! [X] :
( ( ~ cC138(X)
| ~ cTOP(X)
| cC140(X) )
& ( ( cC138(X)
& cTOP(X) )
| ~ cC140(X) ) ),
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
! [X] :
( ( ~ cC138(X)
| ~ cTOP(X)
| cC140(X) )
& ( ( cC138(X)
& cTOP(X) )
| ~ cC140(X) ) ),
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c122,plain,
( cC138(X0)
| ~ cC140(X0) ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(p352,plain,
cC138(iV5475),
inference(resolution,[status(thm)],[p351,c122]) ).
cnf(p357,plain,
( cowlNothing(sk94)
| xsd_string(sk95) ),
inference(resolution,[status(thm)],[p356,p352]) ).
cnf(c345,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ xsd_string(sk95)
| xsd_integer(sk95)
| cowlNothing(sk94)
| ~ cowlThing(sk94) ),
inference(cnf_transformation,[status(esa)],[f145_sk]) ).
cnf(p348,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ xsd_string(sk95)
| xsd_integer(sk95)
| cowlNothing(sk94) ),
inference(resolution,[status(thm)],[c0,c345]) ).
cnf(p358,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| xsd_integer(sk95)
| cowlNothing(sk94)
| cowlNothing(sk94) ),
inference(resolution,[status(thm)],[p357,p348]) ).
cnf(p360,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| xsd_integer(sk95)
| cowlNothing(sk94) ),
inference(factoring,[status(thm)],[p358]) ).
cnf(p361,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| xsd_integer(sk95)
| cowlNothing(sk94) ),
inference(resolution,[status(thm)],[p360,p353]) ).
cnf(p362,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| xsd_integer(sk95)
| cowlNothing(sk94) ),
inference(resolution,[status(thm)],[p361,p351]) ).
cnf(p363,plain,
( ~ cC138(iV5475)
| xsd_integer(sk95)
| cowlNothing(sk94) ),
inference(resolution,[status(thm)],[p362,c0]) ).
cnf(p364,plain,
( xsd_integer(sk95)
| cowlNothing(sk94) ),
inference(resolution,[status(thm)],[p363,p352]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p359,plain,
( ~ xsd_integer(sk95)
| cowlNothing(sk94) ),
inference(resolution,[status(thm)],[p357,c2]) ).
cnf(p365,plain,
( cowlNothing(sk94)
| cowlNothing(sk94) ),
inference(resolution,[status(thm)],[p364,p359]) ).
cnf(p366,plain,
cowlNothing(sk94),
inference(factoring,[status(thm)],[p365]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p367,plain,
$false,
inference(resolution,[status(thm)],[p366,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 19:33:27 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.15/1.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.15/1.29 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------