%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS169+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 : 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 01:54:20 PM UTC 2026
% Result : Theorem 1.22s 1.55s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 17 unt; 0 def)
% Number of atoms : 155 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 183 ( 80 ~; 77 |; 19 &)
% ( 5 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 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 : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 37 ( 0 sgn 33 !; 4 ?; 12 :)
% 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,
cowlThing(iX),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
rhasLeader(iX,iY),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
cowlThing(iY),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,conjecture,
( cowlThing(iY)
& rhasHead(iX,iY)
& cowlThing(iX)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f8,negated_conjecture,
~ ( cowlThing(iY)
& rhasHead(iX,iY)
& cowlThing(iX)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
~ ( cowlThing(iY)
& rhasHead(iX,iY)
& cowlThing(iX)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( rhasLeader(X0,X1)
=> rhasHead(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f11,plain,
! [X0,X1] :
( ~ rhasLeader(X0,X1)
| rhasHead(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f12,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f13,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f14,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ( ( xsd_string(sK1)
| ~ xsd_integer(sK1) )
& ( ~ xsd_string(sK1)
| xsd_integer(sK1) ) )
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f14]) ).
fof(f16,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f19,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
cowlThing(iX),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
rhasLeader(iX,iY),
inference(cnf_transformation,[],[f4]) ).
fof(f22,plain,
cowlThing(iY),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X0,X1] :
( ~ rhasLeader(X0,X1)
| rhasHead(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f17]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f16]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_53,plain,
cowlThing(iX),
inference(cnf_transformation,[],[f20]) ).
tcf(c_54,plain,
rhasLeader(iX,iY),
inference(cnf_transformation,[],[f21]) ).
tcf(c_55,plain,
cowlThing(iY),
inference(cnf_transformation,[],[f22]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_57,negated_conjecture,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iY)
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_58,negated_conjecture,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iY)
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_63,negated_conjecture,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ rhasHead(iX,iY) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_55,c_53,c_58]) ).
tcf(c_65,negated_conjecture,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ rhasHead(iX,iY) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_55,c_53,c_57]) ).
tcf(c_67,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_68,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_67]) ).
tcf(c_69,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_70,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_69]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
tcf(c_97,plain,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_string(sK1)
| ~ rhasHead(iX,iY) ),
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_49]) ).
tcf(c_98,plain,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ rhasHead(iX,iY) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_49]) ).
tcf(c_101,plain,
( xsd_string(sK1)
| ~ xsd_integer(sK1)
| ~ rhasHead(iX,iY) ),
inference(backward_subsumption_resolution,[status(thm)],[c_98,c_50]) ).
tcf(c_102,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ rhasHead(iX,iY) ),
inference(backward_subsumption_resolution,[status(thm)],[c_97,c_50]) ).
tcf(c_108,plain,
( xsd_integer(sK1)
| ~ rhasHead(iX,iY) ),
inference(backward_subsumption_resolution,[status(thm)],[c_102,c_70]) ).
tcf(c_110,plain,
( xsd_string(sK1)
| ~ rhasHead(iX,iY) ),
inference(backward_subsumption_resolution,[status(thm)],[c_101,c_70]) ).
tcf(c_127,plain,
rhasHead(iX,iY),
inference(resolution,[status(thm)],[c_54,c_71]) ).
tcf(c_132,plain,
xsd_string(sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_110,c_127]) ).
tcf(c_135,plain,
~ xsd_integer(sK1),
inference(resolution,[status(thm)],[c_68,c_132]) ).
tcf(c_136,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_135,c_127,c_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS169+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.63 % Computer : n015.cluster.edu
% 0.14/0.63 % Model : x86_64 x86_64
% 0.14/0.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.63 % Memory : 8046.5625MB
% 0.14/0.63 % OS : Linux 6.8.0-71-generic
% 0.14/0.63 % CPULimit : 300
% 0.14/0.63 % WCLimit : 300
% 0.14/0.63 % DateTime : Wed Sep 23 19:37:56 UTC 2026
% 0.17/0.63 % CPUTime :
% 0.17/0.63 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.67 Running first-order theorem proving
% 0.17/0.67 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
% 0.17/0.68
% 0.17/0.68 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.68
% 0.17/0.68 % Detected problem language: tptp
% 0.17/0.69 % Proving...
% 1.22/1.55 % SZS status Started for theBenchmark.p
% 1.22/1.55 % SZS status Theorem for theBenchmark.p
% 1.22/1.55
% 1.22/1.55 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.22/1.55
% 1.22/1.55 % ------ iProver source info
% 1.22/1.55
% 1.22/1.55 % git: date: 2026-07-19 20:42:38 +0200
% 1.22/1.55 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.22/1.55 % git: non_committed_changes: false
% 1.22/1.55
% 1.22/1.55 % ------ Parsing...
% 1.22/1.55 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.22/1.55 %
% 1.22/1.55
% 1.22/1.55 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s%
% 1.22/1.55
% 1.22/1.55 % SZS status Theorem for theBenchmark.p
% 1.22/1.55
% 1.22/1.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.22/1.55
% 1.22/1.55
%------------------------------------------------------------------------------