TSTP Solution File: SET925+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET925+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n017.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 18:26:06 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 3 unt; 0 def)
% Number of atoms : 56 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 22 ~; 20 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,plain,
$false,
inference(avatar_sat_refutation,[],[f32,f33,f40,f45]) ).
fof(f45,plain,
( spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f44,f25,f29]) ).
fof(f29,plain,
( spl6_2
<=> in(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f25,plain,
( spl6_1
<=> empty_set = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f44,plain,
( in(sK3,sK2)
| ~ spl6_1 ),
inference(trivial_inequality_removal,[],[f43]) ).
fof(f43,plain,
( in(sK3,sK2)
| empty_set != empty_set
| ~ spl6_1 ),
inference(forward_demodulation,[],[f42,f27]) ).
fof(f27,plain,
( empty_set = sF5
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f42,plain,
( empty_set != sF5
| in(sK3,sK2) ),
inference(superposition,[],[f41,f21]) ).
fof(f21,plain,
set_difference(sF4,sK2) = sF5,
introduced(function_definition,[]) ).
fof(f41,plain,
! [X0] :
( empty_set != set_difference(sF4,X0)
| in(sK3,X0) ),
inference(superposition,[],[f19,f20]) ).
fof(f20,plain,
singleton(sK3) = sF4,
introduced(function_definition,[]) ).
fof(f19,plain,
! [X0,X1] :
( empty_set != set_difference(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( empty_set = set_difference(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l36_zfmisc_1) ).
fof(f40,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f38,f29,f25]) ).
fof(f38,plain,
( empty_set = sF5
| ~ spl6_2 ),
inference(superposition,[],[f21,f36]) ).
fof(f36,plain,
( empty_set = set_difference(sF4,sK2)
| ~ spl6_2 ),
inference(forward_demodulation,[],[f35,f20]) ).
fof(f35,plain,
( empty_set = set_difference(singleton(sK3),sK2)
| ~ spl6_2 ),
inference(resolution,[],[f18,f31]) ).
fof(f31,plain,
( in(sK3,sK2)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f18,plain,
! [X0,X1] :
( ~ in(X0,X1)
| empty_set = set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f33,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f22,f29,f25]) ).
fof(f22,plain,
( ~ in(sK3,sK2)
| empty_set != sF5 ),
inference(definition_folding,[],[f16,f21,f20]) ).
fof(f16,plain,
( empty_set != set_difference(singleton(sK3),sK2)
| ~ in(sK3,sK2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
? [X0,X1] :
( in(X1,X0)
<~> empty_set = set_difference(singleton(X1),X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ! [X1,X0] :
( in(X1,X0)
<=> empty_set = set_difference(singleton(X1),X0) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X1,X0] :
( in(X0,X1)
<=> empty_set = set_difference(singleton(X0),X1) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X1,X0] :
( in(X0,X1)
<=> empty_set = set_difference(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_zfmisc_1) ).
fof(f32,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f23,f29,f25]) ).
fof(f23,plain,
( in(sK3,sK2)
| empty_set = sF5 ),
inference(definition_folding,[],[f15,f21,f20]) ).
fof(f15,plain,
( empty_set = set_difference(singleton(sK3),sK2)
| in(sK3,sK2) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET925+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 13:54:35 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.19/0.48 % (19835)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.48 % (19835)First to succeed.
% 0.19/0.48 % (19835)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (19835)------------------------------
% 0.19/0.48 % (19835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (19835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (19835)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (19835)Memory used [KB]: 5373
% 0.19/0.48 % (19835)Time elapsed: 0.073 s
% 0.19/0.48 % (19835)Instructions burned: 2 (million)
% 0.19/0.48 % (19835)------------------------------
% 0.19/0.48 % (19835)------------------------------
% 0.19/0.48 % (19823)Success in time 0.142 s
%------------------------------------------------------------------------------