TSTP Solution File: KRS131+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS131+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:33:43 EDT 2024
% Result : Theorem 0.73s 1.12s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 92 ( 9 unt; 0 def)
% Number of atoms : 316 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 376 ( 152 ~; 166 |; 36 &)
% ( 10 <=>; 10 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% 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 : 103 ( 9 sgn 52 !; 21 ?)
% 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)
=> ? [X2] : rp(X0,X2) ),
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,[],[f7]) ).
fof(f9,plain,
! [X0] :
( cNothing(X0)
=> ? [X1] : rp(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f10,plain,
~ ( ! [X0] :
( cnotA(X0)
<=> ~ cA(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( ~ cowlNothing(X2)
& cowlThing(X2) ) ),
inference(rectify,[],[f8]) ).
fof(f11,plain,
! [X0] :
( ! [X1] : ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] :
( ? [X1] : rp(X0,X1)
| ~ cNothing(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f13,plain,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( cNothing(X1)
| ~ rq(X0,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f14,plain,
( ? [X0] :
( cnotA(X0)
<~> ~ cA(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f15,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0] :
( ( cA(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) ) )
& ( ? [X1] :
( cowlThing(X1)
& rq(X0,X1) )
| ~ cA(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f17,plain,
! [X0] :
( ( cA(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) ) )
& ( ? [X2] :
( cowlThing(X2)
& rq(X0,X2) )
| ~ cA(X0) ) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0] :
( ? [X2] :
( cowlThing(X2)
& rq(X0,X2) )
=> ( cowlThing(sK0(X0))
& rq(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ( cA(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) ) )
& ( ( cowlThing(sK0(X0))
& rq(X0,sK0(X0)) )
| ~ cA(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f18]) ).
fof(f20,plain,
! [X0] :
( ? [X1] : rp(X0,X1)
=> rp(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( rp(X0,sK1(X0))
| ~ cNothing(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f20]) ).
fof(f22,plain,
! [X0] :
( ( cnotA(X0)
| ? [X1] :
( ~ cNothing(X1)
& rq(X0,X1) ) )
& ( ! [X1] :
( cNothing(X1)
| ~ rq(X0,X1) )
| ~ cnotA(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f23,plain,
! [X0] :
( ( cnotA(X0)
| ? [X1] :
( ~ cNothing(X1)
& rq(X0,X1) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rq(X0,X2) )
| ~ cnotA(X0) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( ~ cNothing(X1)
& rq(X0,X1) )
=> ( ~ cNothing(sK2(X0))
& rq(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
( ( cnotA(X0)
| ( ~ cNothing(sK2(X0))
& rq(X0,sK2(X0)) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rq(X0,X2) )
| ~ cnotA(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f23,f24]) ).
fof(f26,plain,
( ? [X0] :
( ( cA(X0)
| ~ cnotA(X0) )
& ( ~ cA(X0)
| cnotA(X0) ) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f27,plain,
( ? [X0] :
( ( cA(X0)
| ~ cnotA(X0) )
& ( ~ cA(X0)
| cnotA(X0) ) )
=> ( ( cA(sK3)
| ~ cnotA(sK3) )
& ( ~ cA(sK3)
| cnotA(sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
=> ( ( xsd_integer(sK4)
| ~ xsd_string(sK4) )
& ( ~ xsd_integer(sK4)
| xsd_string(sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) )
=> ( cowlNothing(sK5)
| ~ cowlThing(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ( ( cA(sK3)
| ~ cnotA(sK3) )
& ( ~ cA(sK3)
| cnotA(sK3) ) )
| ( ( xsd_integer(sK4)
| ~ xsd_string(sK4) )
& ( ~ xsd_integer(sK4)
| xsd_string(sK4) ) )
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f26,f29,f28,f27]) ).
fof(f31,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X0] :
( rq(X0,sK0(X0))
| ~ cA(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
! [X0,X1] :
( cA(X0)
| ~ cowlThing(X1)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f39,plain,
! [X0] :
( rp(X0,sK1(X0))
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
! [X2,X0] :
( cNothing(X2)
| ~ rq(X0,X2)
| ~ cnotA(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f41,plain,
! [X0] :
( cnotA(X0)
| rq(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f43,plain,
( ~ cA(sK3)
| cnotA(sK3)
| ~ xsd_integer(sK4)
| xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
( ~ cA(sK3)
| cnotA(sK3)
| xsd_integer(sK4)
| ~ xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(cnf_transformation,[],[f30]) ).
fof(f45,plain,
( cA(sK3)
| ~ cnotA(sK3)
| ~ xsd_integer(sK4)
| xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(cnf_transformation,[],[f30]) ).
fof(f46,plain,
( cA(sK3)
| ~ cnotA(sK3)
| xsd_integer(sK4)
| ~ xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_49,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[],[f32]) ).
cnf(c_50,plain,
cowlThing(X0),
inference(cnf_transformation,[],[f31]) ).
cnf(c_51,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_52,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_53,plain,
( ~ rq(X0,X1)
| ~ cowlThing(X1)
| cA(X0) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_55,plain,
( ~ cA(X0)
| rq(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_56,plain,
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_57,plain,
( ~ cNothing(X0)
| rp(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_59,plain,
( rq(X0,sK2(X0))
| cnotA(X0) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_60,plain,
( ~ rq(X0,X1)
| ~ cnotA(X0)
| cNothing(X1) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_61,negated_conjecture,
( ~ cowlThing(sK5)
| ~ xsd_string(sK4)
| ~ cnotA(sK3)
| cowlNothing(sK5)
| xsd_integer(sK4)
| cA(sK3) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_62,negated_conjecture,
( ~ cowlThing(sK5)
| ~ xsd_integer(sK4)
| ~ cnotA(sK3)
| cowlNothing(sK5)
| xsd_string(sK4)
| cA(sK3) ),
inference(cnf_transformation,[],[f45]) ).
cnf(c_63,negated_conjecture,
( ~ cowlThing(sK5)
| ~ xsd_string(sK4)
| ~ cA(sK3)
| cowlNothing(sK5)
| xsd_integer(sK4)
| cnotA(sK3) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_64,negated_conjecture,
( ~ cowlThing(sK5)
| ~ xsd_integer(sK4)
| ~ cA(sK3)
| cowlNothing(sK5)
| xsd_string(sK4)
| cnotA(sK3) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_77,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_78,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_77]) ).
cnf(c_79,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_80,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_79]) ).
cnf(c_83,plain,
( ~ cA(X0)
| rq(X0,sK0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
cnf(c_85,plain,
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
cnf(c_89,plain,
( ~ cNothing(X0)
| rp(X0,sK1(X0)) ),
inference(prop_impl_just,[status(thm)],[c_57]) ).
cnf(c_95,plain,
( cnotA(X0)
| rq(X0,sK2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
cnf(c_96,plain,
( rq(X0,sK2(X0))
| cnotA(X0) ),
inference(renaming,[status(thm)],[c_95]) ).
cnf(c_139,plain,
( ~ xsd_integer(sK4)
| ~ cA(sK3)
| cowlNothing(sK5)
| xsd_string(sK4)
| cnotA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_64,c_50]) ).
cnf(c_140,plain,
( ~ xsd_string(sK4)
| ~ cA(sK3)
| cowlNothing(sK5)
| xsd_integer(sK4)
| cnotA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_50]) ).
cnf(c_141,plain,
( ~ xsd_integer(sK4)
| ~ cnotA(sK3)
| cowlNothing(sK5)
| xsd_string(sK4)
| cA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_62,c_50]) ).
cnf(c_142,plain,
( ~ xsd_string(sK4)
| ~ cnotA(sK3)
| cowlNothing(sK5)
| xsd_integer(sK4)
| cA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_61,c_50]) ).
cnf(c_143,plain,
( ~ rq(X0,X1)
| cA(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_50]) ).
cnf(c_147,plain,
( ~ xsd_string(sK4)
| ~ cnotA(sK3)
| xsd_integer(sK4)
| cA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_142,c_49]) ).
cnf(c_148,plain,
( ~ xsd_integer(sK4)
| ~ cnotA(sK3)
| xsd_string(sK4)
| cA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_141,c_49]) ).
cnf(c_149,plain,
( ~ xsd_string(sK4)
| ~ cA(sK3)
| xsd_integer(sK4)
| cnotA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_140,c_49]) ).
cnf(c_150,plain,
( ~ xsd_integer(sK4)
| ~ cA(sK3)
| xsd_string(sK4)
| cnotA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_139,c_49]) ).
cnf(c_154,plain,
( ~ cA(sK3)
| xsd_integer(sK4)
| cnotA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_149,c_80]) ).
cnf(c_155,plain,
( ~ cnotA(sK3)
| xsd_integer(sK4)
| cA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_147,c_80]) ).
cnf(c_157,plain,
( ~ cA(sK3)
| xsd_string(sK4)
| cnotA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_150,c_80]) ).
cnf(c_158,plain,
( ~ cnotA(sK3)
| xsd_string(sK4)
| cA(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_148,c_80]) ).
cnf(c_182,plain,
~ cNothing(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_89,c_85]) ).
cnf(c_187,plain,
( ~ rq(X0,X1)
| ~ cnotA(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_60,c_182]) ).
cnf(c_218,plain,
( ~ xsd_integer(sK4)
| ~ cnotA(sK3)
| cA(sK3) ),
inference(resolution,[status(thm)],[c_78,c_158]) ).
cnf(c_219,plain,
( ~ cnotA(sK3)
| cA(sK3) ),
inference(global_subsumption_just,[status(thm)],[c_218,c_155,c_218]) ).
cnf(c_227,plain,
( ~ xsd_integer(sK4)
| ~ cA(sK3)
| cnotA(sK3) ),
inference(resolution,[status(thm)],[c_78,c_157]) ).
cnf(c_228,plain,
( ~ cA(sK3)
| cnotA(sK3) ),
inference(global_subsumption_just,[status(thm)],[c_227,c_154,c_227]) ).
cnf(c_249,plain,
( ~ rq(sK3,X0)
| cnotA(sK3) ),
inference(resolution,[status(thm)],[c_143,c_228]) ).
cnf(c_255,plain,
~ rq(sK3,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_249,c_187]) ).
cnf(c_258,plain,
( ~ cnotA(sK3)
| rq(sK3,sK0(sK3)) ),
inference(resolution,[status(thm)],[c_83,c_219]) ).
cnf(c_261,plain,
~ cnotA(sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_258,c_255]) ).
cnf(c_275,plain,
rq(sK3,sK2(sK3)),
inference(resolution,[status(thm)],[c_96,c_261]) ).
cnf(c_278,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_275,c_255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS131+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 22:31:02 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.73/1.12 % SZS status Started for theBenchmark.p
% 0.73/1.12 % SZS status Theorem for theBenchmark.p
% 0.73/1.12
% 0.73/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.73/1.12
% 0.73/1.12 ------ iProver source info
% 0.73/1.12
% 0.73/1.12 git: date: 2024-05-02 19:28:25 +0000
% 0.73/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.73/1.12 git: non_committed_changes: false
% 0.73/1.12
% 0.73/1.12 ------ Parsing...
% 0.73/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.73/1.12
% 0.73/1.12 ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s
% 0.73/1.12
% 0.73/1.12 % SZS status Theorem for theBenchmark.p
% 0.73/1.12
% 0.73/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.73/1.12
% 0.73/1.12
%------------------------------------------------------------------------------