%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS131+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 : n006.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 01:54:13 PM UTC 2026
% Result : Theorem 0.43s 1.30s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 87 ( 11 unt; 0 def)
% Number of atoms : 282 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 336 ( 141 ~; 152 |; 28 &)
% ( 10 <=>; 3 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 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; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 92 ( 0 sgn 78 !; 14 ?; 30 :)
% 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,
! [X0] :
( cA(X0)
<=> ? [X1] :
( cowlThing(X1)
& rq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cNothing(X0)
=> ~ ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cNothing(X0)
=> ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( rq(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,conjecture,
( ! [X0] :
( cnotA(X0)
<=> ~ cA(X0) )
& ! [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,
~ ( ! [X0] :
( cnotA(X0)
<=> ~ cA(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
~ ( ! [X2] :
( cnotA(X2)
<=> ~ cA(X2) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f10,plain,
! [X0] :
( ~ cNothing(X0)
| ! [X1] : ~ rp(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f11,plain,
! [X0] :
( ~ cNothing(X0)
| ? [X1] : rp(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f12,plain,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( ~ rq(X0,X1)
| cNothing(X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f13,plain,
( ? [X2] :
( cnotA(X2)
<~> ~ cA(X2) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f14,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f15,plain,
! [X0] :
( ( ~ cA(X0)
| ? [X1] :
( cowlThing(X1)
& rq(X0,X1) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) )
| cA(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f16,plain,
! [X0] :
( ( ~ cA(X0)
| ? [X2] :
( cowlThing(X2)
& rq(X0,X2) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) )
| cA(X0) ) ),
inference(rectify,[],[f15]) ).
fof(f17,plain,
! [X0] :
( ( ~ cA(X0)
| ( cowlThing(sK0(X0))
& rq(X0,sK0(X0)) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) )
| cA(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f16]) ).
fof(f18,plain,
! [X0] :
( ~ cNothing(X0)
| rp(X0,sK1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f11]) ).
fof(f19,plain,
! [X0] :
( ( ~ cnotA(X0)
| ! [X1] :
( ~ rq(X0,X1)
| cNothing(X1) ) )
& ( ? [X1] :
( rq(X0,X1)
& ~ cNothing(X1) )
| cnotA(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f20,plain,
! [X0] :
( ( ~ cnotA(X0)
| ! [X2] :
( ~ rq(X0,X2)
| cNothing(X2) ) )
& ( ? [X1] :
( rq(X0,X1)
& ~ cNothing(X1) )
| cnotA(X0) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ( ~ cnotA(X0)
| ! [X2] :
( ~ rq(X0,X2)
| cNothing(X2) ) )
& ( ( rq(X0,sK2(X0))
& ~ cNothing(sK2(X0)) )
| cnotA(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f20]) ).
fof(f22,plain,
( ? [X2] :
( ( cnotA(X2)
| ~ cA(X2) )
& ( ~ cnotA(X2)
| cA(X2) ) )
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f23,plain,
( ( ( cnotA(sK5)
| ~ cA(sK5) )
& ( ~ cnotA(sK5)
| cA(sK5) ) )
| ( ( xsd_string(sK4)
| ~ xsd_integer(sK4) )
& ( ~ xsd_string(sK4)
| xsd_integer(sK4) ) )
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f22]) ).
fof(f24,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X0] :
( ~ cA(X0)
| rq(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f30,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1)
| cA(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X1] :
( ~ cNothing(X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0] :
( ~ cNothing(X0)
| rp(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X2,X0] :
( ~ cnotA(X0)
| ~ rq(X0,X2)
| cNothing(X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f34,plain,
! [X0] :
( rq(X0,sK2(X0))
| cnotA(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f36,plain,
( cnotA(sK5)
| ~ cA(sK5)
| xsd_string(sK4)
| ~ xsd_integer(sK4)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
( ~ cnotA(sK5)
| cA(sK5)
| xsd_string(sK4)
| ~ xsd_integer(sK4)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f38,plain,
( cnotA(sK5)
| ~ cA(sK5)
| ~ xsd_string(sK4)
| xsd_integer(sK4)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
( ~ cnotA(sK5)
| cA(sK5)
| ~ xsd_string(sK4)
| xsd_integer(sK4)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f25]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( cA(X0)
| ~ cowlThing(X1)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_54,plain,
! [X0: $i] :
( rq(X0,sK0(X0))
| ~ cA(X0) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( ~ cNothing(X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_57,plain,
! [X0: $i] :
( rp(X0,sK1(X0))
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_59,plain,
! [X0: $i] :
( cnotA(X0)
| rq(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( cNothing(X1)
| ~ cnotA(X0)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_61,negated_conjecture,
( cA(sK5)
| xsd_integer(sK4)
| cowlNothing(sK3)
| ~ cnotA(sK5)
| ~ xsd_string(sK4)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_62,negated_conjecture,
( cnotA(sK5)
| xsd_integer(sK4)
| cowlNothing(sK3)
| ~ cA(sK5)
| ~ xsd_string(sK4)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_63,negated_conjecture,
( cA(sK5)
| xsd_string(sK4)
| cowlNothing(sK3)
| ~ cnotA(sK5)
| ~ xsd_integer(sK4)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_64,negated_conjecture,
( cnotA(sK5)
| xsd_string(sK4)
| cowlNothing(sK3)
| ~ cA(sK5)
| ~ xsd_integer(sK4)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_65,plain,
cowlThing(sK3),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_66,plain,
~ cowlNothing(sK3),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_77,plain,
( cnotA(sK5)
| xsd_string(sK4)
| ~ xsd_integer(sK4)
| ~ cA(sK5) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_65,c_66,c_64]) ).
tcf(c_78,negated_conjecture,
( cnotA(sK5)
| xsd_string(sK4)
| ~ cA(sK5)
| ~ xsd_integer(sK4) ),
inference(renaming,[status(thm)],[c_77]) ).
tcf(c_79,plain,
( cA(sK5)
| xsd_string(sK4)
| ~ xsd_integer(sK4)
| ~ cnotA(sK5) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_65,c_66,c_63]) ).
tcf(c_80,negated_conjecture,
( cA(sK5)
| xsd_string(sK4)
| ~ cnotA(sK5)
| ~ xsd_integer(sK4) ),
inference(renaming,[status(thm)],[c_79]) ).
tcf(c_81,plain,
( cnotA(sK5)
| xsd_integer(sK4)
| ~ xsd_string(sK4)
| ~ cA(sK5) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_65,c_66,c_62]) ).
tcf(c_82,negated_conjecture,
( cnotA(sK5)
| xsd_integer(sK4)
| ~ cA(sK5)
| ~ xsd_string(sK4) ),
inference(renaming,[status(thm)],[c_81]) ).
tcf(c_83,plain,
( cA(sK5)
| xsd_integer(sK4)
| ~ xsd_string(sK4)
| ~ cnotA(sK5) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_65,c_66,c_61]) ).
tcf(c_84,negated_conjecture,
( cA(sK5)
| xsd_integer(sK4)
| ~ cnotA(sK5)
| ~ xsd_string(sK4) ),
inference(renaming,[status(thm)],[c_83]) ).
tcf(c_85,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_86,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_85]) ).
tcf(c_87,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_88,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_87]) ).
tcf(c_89,plain,
! [X0: $i] :
( rq(X0,sK0(X0))
| ~ cA(X0) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( ~ cNothing(X0)
| ~ rp(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
tcf(c_97,plain,
! [X0: $i] :
( rp(X0,sK1(X0))
| ~ cNothing(X0) ),
inference(prop_impl_just,[status(thm)],[c_57]) ).
tcf(c_103,plain,
! [X0: $i] :
( rq(X0,sK2(X0))
| cnotA(X0) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
tcf(c_104,plain,
! [X0: $i] :
( cnotA(X0)
| rq(X0,sK2(X0)) ),
inference(renaming,[status(thm)],[c_103]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( cA(X0)
| ~ rq(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_49]) ).
tcf(c_152,plain,
( cA(sK5)
| xsd_integer(sK4)
| ~ cnotA(sK5) ),
inference(backward_subsumption_resolution,[status(thm)],[c_84,c_88]) ).
tcf(c_153,plain,
( cnotA(sK5)
| xsd_integer(sK4)
| ~ cA(sK5) ),
inference(backward_subsumption_resolution,[status(thm)],[c_82,c_88]) ).
tcf(c_155,plain,
( cA(sK5)
| xsd_string(sK4)
| ~ cnotA(sK5) ),
inference(backward_subsumption_resolution,[status(thm)],[c_80,c_88]) ).
tcf(c_156,plain,
( cnotA(sK5)
| xsd_string(sK4)
| ~ cA(sK5) ),
inference(backward_subsumption_resolution,[status(thm)],[c_78,c_88]) ).
tcf(c_180,plain,
! [X0: $i] : ~ cNothing(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_97,c_93]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( ~ cnotA(X0)
| ~ rq(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_60,c_180]) ).
tcf(c_216,plain,
( cnotA(sK5)
| ~ cA(sK5)
| ~ xsd_integer(sK4) ),
inference(resolution,[status(thm)],[c_86,c_156]) ).
tcf(c_217,plain,
( cnotA(sK5)
| ~ cA(sK5) ),
inference(global_subsumption_just,[status(thm)],[c_216,c_153,c_216]) ).
tcf(c_225,plain,
( cA(sK5)
| ~ cnotA(sK5)
| ~ xsd_integer(sK4) ),
inference(resolution,[status(thm)],[c_86,c_155]) ).
tcf(c_226,plain,
( cA(sK5)
| ~ cnotA(sK5) ),
inference(global_subsumption_just,[status(thm)],[c_225,c_152,c_225]) ).
tcf(c_247,plain,
! [X0: $i] :
( cnotA(sK5)
| ~ rq(sK5,X0) ),
inference(resolution,[status(thm)],[c_145,c_217]) ).
tcf(c_253,plain,
! [X0: $i] : ~ rq(sK5,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_247,c_185]) ).
tcf(c_256,plain,
( rq(sK5,sK0(sK5))
| ~ cnotA(sK5) ),
inference(resolution,[status(thm)],[c_89,c_226]) ).
tcf(c_259,plain,
~ cnotA(sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_256,c_253]) ).
tcf(c_274,plain,
rq(sK5,sK2(sK5)),
inference(resolution,[status(thm)],[c_104,c_259]) ).
tcf(c_277,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_274,c_253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS131+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n006.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 19:27:56 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 0.43/1.30 % SZS status Started for theBenchmark.p
% 0.43/1.30 % SZS status Theorem for theBenchmark.p
% 0.43/1.30
% 0.43/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.43/1.30
% 0.43/1.30 % ------ iProver source info
% 0.43/1.30
% 0.43/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 0.43/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.43/1.30 % git: non_committed_changes: false
% 0.43/1.30
% 0.43/1.30 % ------ Parsing...
% 0.43/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.43/1.30
% 0.43/1.30 % ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s%
% 0.43/1.30
% 0.43/1.30 % SZS status Theorem for theBenchmark.p
% 0.43/1.30
% 0.43/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.43/1.30
% 1.43/1.30
%------------------------------------------------------------------------------