TSTP Solution File: SEU134+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU134+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : 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 18:32:04 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 2 unt; 0 def)
% Number of atoms : 51 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 18 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f49,f68,f71]) ).
fof(f71,plain,
( spl5_2
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f70,f41,f45]) ).
fof(f45,plain,
( spl5_2
<=> subset(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f41,plain,
( spl5_1
<=> empty_set = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f70,plain,
( subset(sK0,sK1)
| ~ spl5_1 ),
inference(trivial_inequality_removal,[],[f69]) ).
fof(f69,plain,
( subset(sK0,sK1)
| empty_set != empty_set
| ~ spl5_1 ),
inference(forward_demodulation,[],[f60,f43]) ).
fof(f43,plain,
( empty_set = sF4
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f60,plain,
( empty_set != sF4
| subset(sK0,sK1) ),
inference(superposition,[],[f30,f37]) ).
fof(f37,plain,
sF4 = set_difference(sK0,sK1),
introduced(function_definition,[]) ).
fof(f30,plain,
! [X0,X1] :
( empty_set != set_difference(X0,X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( empty_set = set_difference(X0,X1)
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).
fof(f68,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f63,f45,f41]) ).
fof(f63,plain,
( empty_set = sF4
| ~ spl5_2 ),
inference(superposition,[],[f56,f37]) ).
fof(f56,plain,
( empty_set = set_difference(sK0,sK1)
| ~ spl5_2 ),
inference(resolution,[],[f29,f47]) ).
fof(f47,plain,
( subset(sK0,sK1)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f29,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| empty_set = set_difference(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f49,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f38,f45,f41]) ).
fof(f38,plain,
( ~ subset(sK0,sK1)
| empty_set != sF4 ),
inference(definition_folding,[],[f26,f37]) ).
fof(f26,plain,
( ~ subset(sK0,sK1)
| empty_set != set_difference(sK0,sK1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
? [X1,X0] :
( empty_set = set_difference(X1,X0)
<~> subset(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X1,X0] :
( empty_set = set_difference(X1,X0)
<=> subset(X1,X0) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X0] :
( subset(X0,X1)
<=> empty_set = set_difference(X0,X1) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X0] :
( subset(X0,X1)
<=> empty_set = set_difference(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(f48,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f39,f45,f41]) ).
fof(f39,plain,
( subset(sK0,sK1)
| empty_set = sF4 ),
inference(definition_folding,[],[f25,f37]) ).
fof(f25,plain,
( subset(sK0,sK1)
| empty_set = set_difference(sK0,sK1) ),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU134+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:43:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.47 % (26728)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.47 % (26728)First to succeed.
% 0.20/0.48 % (26728)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (26728)------------------------------
% 0.20/0.48 % (26728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (26728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (26728)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (26728)Memory used [KB]: 5373
% 0.20/0.48 % (26728)Time elapsed: 0.090 s
% 0.20/0.48 % (26728)Instructions burned: 2 (million)
% 0.20/0.48 % (26728)------------------------------
% 0.20/0.48 % (26728)------------------------------
% 0.20/0.48 % (26722)Success in time 0.131 s
%------------------------------------------------------------------------------