TSTP Solution File: KRS171+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS171+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 17:29:55 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 65 ( 5 unt; 0 def)
% Number of atoms : 216 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 244 ( 93 ~; 108 |; 21 &)
% ( 13 <=>; 7 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 53 ( 37 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f56,f57,f58,f60,f64,f67,f69,f74,f77]) ).
fof(f77,plain,
( spl4_3
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f76,f36,f40]) ).
fof(f40,plain,
( spl4_3
<=> rhasHead(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f36,plain,
( spl4_2
<=> rhasLeader(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f76,plain,
( rhasHead(sK0,sK1)
| ~ spl4_2 ),
inference(resolution,[],[f37,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ rhasLeader(X1,X0)
| rhasHead(X1,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ rhasLeader(X1,X0)
| rhasHead(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( rhasLeader(X1,X0)
=> rhasHead(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( rhasLeader(X0,X1)
=> rhasHead(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f37,plain,
( rhasLeader(sK0,sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f74,plain,
( spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| spl4_2
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f71,f41]) ).
fof(f41,plain,
( rhasHead(sK0,sK1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f71,plain,
( ~ rhasHead(sK0,sK1)
| spl4_2 ),
inference(resolution,[],[f26,f38]) ).
fof(f38,plain,
( ~ rhasLeader(sK0,sK1)
| spl4_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f26,plain,
! [X0,X1] :
( rhasLeader(X0,X1)
| ~ rhasHead(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( rhasLeader(X0,X1)
| ~ rhasHead(X0,X1) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( rhasLeader(X1,X0)
| ~ rhasHead(X1,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( rhasHead(X1,X0)
=> rhasLeader(X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( rhasHead(X0,X1)
=> rhasLeader(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f69,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f34,f21]) ).
fof(f21,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f34,plain,
( cowlNothing(sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl4_1
<=> cowlNothing(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f67,plain,
( ~ spl4_4
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f66,plain,
( $false
| ~ spl4_4
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f65,f46]) ).
fof(f46,plain,
( xsd_string(sK2)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl4_4
<=> xsd_string(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f65,plain,
( ~ xsd_string(sK2)
| ~ spl4_6 ),
inference(resolution,[],[f53,f23]) ).
fof(f23,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f53,plain,
( xsd_integer(sK2)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl4_6
<=> xsd_integer(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f64,plain,
( spl4_4
| spl4_6 ),
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f63,plain,
( $false
| spl4_4
| spl4_6 ),
inference(subsumption_resolution,[],[f61,f45]) ).
fof(f45,plain,
( ~ xsd_string(sK2)
| spl4_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f61,plain,
( xsd_string(sK2)
| spl4_6 ),
inference(resolution,[],[f24,f54]) ).
fof(f54,plain,
( ~ xsd_integer(sK2)
| spl4_6 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f24,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f60,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl4_5 ),
inference(resolution,[],[f22,f50]) ).
fof(f50,plain,
( ~ cowlThing(sK3)
| spl4_5 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl4_5
<=> cowlThing(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f22,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f58,plain,
( ~ spl4_5
| spl4_1
| spl4_2
| spl4_3
| spl4_6
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f28,f44,f52,f40,f36,f32,f48]) ).
fof(f28,plain,
( ~ xsd_string(sK2)
| xsd_integer(sK2)
| rhasHead(sK0,sK1)
| rhasLeader(sK0,sK1)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( ( ~ rhasLeader(sK0,sK1)
| ~ rhasHead(sK0,sK1) )
& ( rhasLeader(sK0,sK1)
| rhasHead(sK0,sK1) ) )
| ( ( ~ xsd_string(sK2)
| xsd_integer(sK2) )
& ( xsd_string(sK2)
| ~ xsd_integer(sK2) ) )
| ~ cowlThing(sK3)
| cowlNothing(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f16,f19,f18,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( ( ~ rhasLeader(X0,X1)
| ~ rhasHead(X0,X1) )
& ( rhasLeader(X0,X1)
| rhasHead(X0,X1) ) )
=> ( ( ~ rhasLeader(sK0,sK1)
| ~ rhasHead(sK0,sK1) )
& ( rhasLeader(sK0,sK1)
| rhasHead(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X2] :
( ( ~ xsd_string(X2)
| xsd_integer(X2) )
& ( xsd_string(X2)
| ~ xsd_integer(X2) ) )
=> ( ( ~ xsd_string(sK2)
| xsd_integer(sK2) )
& ( xsd_string(sK2)
| ~ xsd_integer(sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X3] :
( ~ cowlThing(X3)
| cowlNothing(X3) )
=> ( ~ cowlThing(sK3)
| cowlNothing(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X0,X1] :
( ( ~ rhasLeader(X0,X1)
| ~ rhasHead(X0,X1) )
& ( rhasLeader(X0,X1)
| rhasHead(X0,X1) ) )
| ? [X2] :
( ( ~ xsd_string(X2)
| xsd_integer(X2) )
& ( xsd_string(X2)
| ~ xsd_integer(X2) ) )
| ? [X3] :
( ~ cowlThing(X3)
| cowlNothing(X3) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
( ? [X2,X1] :
( ( ~ rhasLeader(X2,X1)
| ~ rhasHead(X2,X1) )
& ( rhasLeader(X2,X1)
| rhasHead(X2,X1) ) )
| ? [X3] :
( ( ~ xsd_string(X3)
| xsd_integer(X3) )
& ( xsd_string(X3)
| ~ xsd_integer(X3) ) )
| ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ? [X2,X1] :
( rhasHead(X2,X1)
<~> rhasLeader(X2,X1) )
| ? [X3] :
( ~ xsd_integer(X3)
<~> xsd_string(X3) )
| ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
~ ( ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) )
& ! [X3] :
( ~ xsd_integer(X3)
<=> xsd_string(X3) )
& ! [X1,X2] :
( rhasLeader(X2,X1)
<=> rhasHead(X2,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) )
& ! [X1,X0] :
( rhasHead(X0,X1)
<=> rhasLeader(X0,X1) )
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) )
& ! [X1,X0] :
( rhasHead(X0,X1)
<=> rhasLeader(X0,X1) )
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f57,plain,
( ~ spl4_4
| ~ spl4_3
| spl4_1
| spl4_6
| ~ spl4_5
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f30,f36,f48,f52,f32,f40,f44]) ).
fof(f30,plain,
( ~ rhasLeader(sK0,sK1)
| ~ cowlThing(sK3)
| xsd_integer(sK2)
| cowlNothing(sK3)
| ~ rhasHead(sK0,sK1)
| ~ xsd_string(sK2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f56,plain,
( ~ spl4_6
| spl4_1
| spl4_4
| spl4_3
| spl4_2
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f27,f48,f36,f40,f44,f32,f52]) ).
fof(f27,plain,
( ~ cowlThing(sK3)
| rhasLeader(sK0,sK1)
| rhasHead(sK0,sK1)
| xsd_string(sK2)
| cowlNothing(sK3)
| ~ xsd_integer(sK2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f55,plain,
( spl4_1
| ~ spl4_2
| ~ spl4_3
| spl4_4
| ~ spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f29,f52,f48,f44,f40,f36,f32]) ).
fof(f29,plain,
( ~ xsd_integer(sK2)
| ~ cowlThing(sK3)
| xsd_string(sK2)
| ~ rhasHead(sK0,sK1)
| ~ rhasLeader(sK0,sK1)
| cowlNothing(sK3) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS171+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 00:42:30 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.53 % (620)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53 % (639)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (666)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (628)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.53 % (620)First to succeed.
% 0.21/0.54 % (630)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.54 % (620)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (620)------------------------------
% 0.21/0.54 % (620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (620)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (620)Memory used [KB]: 5884
% 0.21/0.54 % (620)Time elapsed: 0.125 s
% 0.21/0.54 % (620)Instructions burned: 2 (million)
% 0.21/0.54 % (620)------------------------------
% 0.21/0.54 % (620)------------------------------
% 0.21/0.54 % (619)Success in time 0.176 s
%------------------------------------------------------------------------------