%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS156+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 : 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 01:54:18 PM UTC 2026
% Result : Theorem 2.09s 1.27s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 58 ( 14 unt; 0 def)
% Number of atoms : 190 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 227 ( 95 ~; 94 |; 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 : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 37 ( 0 sgn 33 !; 4 ?; 11 :)
% 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(f50,axiom,
! [X0] :
( cC140(X0)
<=> ( cC138(X0)
& cTOP(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f128,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC116(X0)
& cC140(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
fof(f130,axiom,
cowlThing(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).
fof(f132,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
fof(f146,conjecture,
( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f147,negated_conjecture,
~ ( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f146]) ).
fof(f148,plain,
~ ( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f147]) ).
fof(f149,plain,
! [X0] :
( cTEST(X0)
=> ( cC116(X0)
& cC140(X0) ) ),
inference(unused_predicate_definition_removal,[],[f128]) ).
fof(f188,plain,
! [X0] :
( ~ cTEST(X0)
| ( cC116(X0)
& cC140(X0) ) ),
inference(ennf_transformation,[],[f149]) ).
fof(f193,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f148]) ).
fof(f194,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f315,plain,
! [X0] :
( ( ~ cC140(X0)
| ( cC138(X0)
& cTOP(X0) ) )
& ( ~ cC138(X0)
| ~ cTOP(X0)
| cC140(X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f316,plain,
! [X0] :
( ( ~ cC140(X0)
| ( cC138(X0)
& cTOP(X0) ) )
& ( ~ cC138(X0)
| ~ cTOP(X0)
| cC140(X0) ) ),
inference(flattening,[],[f315]) ).
fof(f521,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f193]) ).
fof(f522,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ( ( xsd_string(sK91)
| ~ xsd_integer(sK91) )
& ( ~ xsd_string(sK91)
| xsd_integer(sK91) ) )
| cowlNothing(sK90)
| ~ cowlThing(sK90) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90,sK91]),skolemize(X0,sK90),skolemize(X1,sK91)],[f521]) ).
fof(f523,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f524,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f525,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f526,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f640,plain,
! [X0] :
( ~ cC140(X0)
| cC138(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f839,plain,
! [X0] :
( ~ cTEST(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f840,plain,
! [X0] :
( ~ cTEST(X0)
| cC140(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f842,plain,
cowlThing(iV5475),
inference(cnf_transformation,[],[f130]) ).
fof(f844,plain,
cTEST(iV5475),
inference(cnf_transformation,[],[f132]) ).
fof(f858,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| xsd_string(sK91)
| ~ xsd_integer(sK91)
| cowlNothing(sK90)
| ~ cowlThing(sK90) ),
inference(cnf_transformation,[],[f522]) ).
fof(f859,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ xsd_string(sK91)
| xsd_integer(sK91)
| cowlNothing(sK90)
| ~ cowlThing(sK90) ),
inference(cnf_transformation,[],[f522]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f524]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f523]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f526]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f525]) ).
tcf(c_168,plain,
! [X0: $i] :
( cC138(X0)
| ~ cC140(X0) ),
inference(cnf_transformation,[],[f640]) ).
tcf(c_365,plain,
! [X0: $i] :
( cC140(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f840]) ).
tcf(c_366,plain,
! [X0: $i] :
( cC116(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f839]) ).
tcf(c_368,plain,
cowlThing(iV5475),
inference(cnf_transformation,[],[f842]) ).
tcf(c_370,plain,
cTEST(iV5475),
inference(cnf_transformation,[],[f844]) ).
tcf(c_384,negated_conjecture,
( xsd_integer(sK91)
| cowlNothing(sK90)
| ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ xsd_string(sK91)
| ~ cowlThing(sK90)
| ~ cowlThing(iV5475) ),
inference(cnf_transformation,[],[f859]) ).
tcf(c_385,negated_conjecture,
( xsd_string(sK91)
| cowlNothing(sK90)
| ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ xsd_integer(sK91)
| ~ cowlThing(sK90)
| ~ cowlThing(iV5475) ),
inference(cnf_transformation,[],[f858]) ).
tcf(c_388,plain,
( cC116(iV5475)
| ~ cTEST(iV5475) ),
inference(instantiation,[status(thm)],[c_366]) ).
tcf(c_389,plain,
( cC140(iV5475)
| ~ cTEST(iV5475) ),
inference(instantiation,[status(thm)],[c_365]) ).
tcf(c_430,plain,
( cC138(iV5475)
| ~ cC140(iV5475) ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_703,plain,
( xsd_string(sK91)
| cowlNothing(sK90)
| ~ cowlThing(sK90)
| ~ xsd_integer(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_370,c_368,c_388,c_389,c_430,c_385]) ).
tcf(c_704,negated_conjecture,
( xsd_string(sK91)
| cowlNothing(sK90)
| ~ xsd_integer(sK91)
| ~ cowlThing(sK90) ),
inference(renaming,[status(thm)],[c_703]) ).
tcf(c_705,plain,
( xsd_integer(sK91)
| cowlNothing(sK90)
| ~ cowlThing(sK90)
| ~ xsd_string(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_370,c_368,c_388,c_389,c_430,c_384]) ).
tcf(c_706,negated_conjecture,
( xsd_integer(sK91)
| cowlNothing(sK90)
| ~ xsd_string(sK91)
| ~ cowlThing(sK90) ),
inference(renaming,[status(thm)],[c_705]) ).
tcf(c_707,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_708,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_707]) ).
tcf(c_709,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_710,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_709]) ).
tcf(c_2114,plain,
( xsd_integer(sK91)
| cowlNothing(sK90)
| ~ xsd_string(sK91) ),
inference(backward_subsumption_resolution,[status(thm)],[c_706,c_49]) ).
tcf(c_2115,plain,
( xsd_string(sK91)
| cowlNothing(sK90)
| ~ xsd_integer(sK91) ),
inference(backward_subsumption_resolution,[status(thm)],[c_704,c_49]) ).
tcf(c_2136,plain,
( xsd_string(sK91)
| ~ xsd_integer(sK91) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2115,c_50]) ).
tcf(c_2137,plain,
( xsd_integer(sK91)
| ~ xsd_string(sK91) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2114,c_50]) ).
tcf(c_2143,plain,
xsd_integer(sK91),
inference(backward_subsumption_resolution,[status(thm)],[c_2137,c_710]) ).
tcf(c_2145,plain,
xsd_string(sK91),
inference(backward_subsumption_resolution,[status(thm)],[c_2136,c_710]) ).
tcf(c_3628,plain,
~ xsd_integer(sK91),
inference(resolution,[status(thm)],[c_708,c_2145]) ).
tcf(c_3629,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3628,c_2143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 19:33:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 2.09/1.27 % SZS status Started for theBenchmark.p
% 2.09/1.27 % SZS status Theorem for theBenchmark.p
% 2.09/1.27
% 2.09/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.09/1.27
% 2.09/1.27 % ------ iProver source info
% 2.09/1.27
% 2.09/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.09/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.09/1.27 % git: non_committed_changes: false
% 2.09/1.27
% 2.09/1.27 % ------ Parsing...
% 2.09/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.09/1.27
% 2.09/1.27 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s%
% 2.09/1.27
% 2.09/1.27 % SZS status Theorem for theBenchmark.p
% 2.09/1.27
% 2.09/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.09/1.27
% 2.09/1.27
%------------------------------------------------------------------------------