TSTP Solution File: SYN078+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% 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 19:25:29 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 1 unt; 0 def)
% Number of atoms : 103 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 109 ( 43 ~; 47 |; 3 &)
% ( 9 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 19 ( 16 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f26,f31,f36,f40,f41,f42,f48,f54]) ).
fof(f54,plain,
( ~ spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f53,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f52,f30]) ).
fof(f30,plain,
( ~ big_p(sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl3_4
<=> big_p(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f52,plain,
( big_p(sK1)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f46,f25]) ).
fof(f25,plain,
( big_p(sK2)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl3_3
<=> big_p(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f46,plain,
( ~ big_p(sK2)
| big_p(sK1)
| ~ spl3_2
| ~ spl3_6 ),
inference(superposition,[],[f39,f20]) ).
fof(f20,plain,
( f(sK2) = sK1
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl3_2
<=> f(sK2) = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f39,plain,
( ! [X2] :
( big_p(f(X2))
| ~ big_p(X2) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl3_6
<=> ! [X2] :
( ~ big_p(X2)
| big_p(f(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f48,plain,
( ~ spl3_5
| spl3_1
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f45,f38,f14,f33]) ).
fof(f33,plain,
( spl3_5
<=> big_p(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f14,plain,
( spl3_1
<=> big_p(f(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f45,plain,
( ~ big_p(sK0)
| spl3_1
| ~ spl3_6 ),
inference(resolution,[],[f39,f16]) ).
fof(f16,plain,
( ~ big_p(f(sK0))
| spl3_1 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f42,plain,
( spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f7,f33,f23]) ).
fof(f7,plain,
( big_p(sK0)
| big_p(sK2) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,plain,
( ! [X0] :
( ~ big_p(X0)
| big_p(f(X0)) )
<~> ! [X1] :
( ! [X2] :
( f(X2) != X1
| ~ big_p(X2) )
| big_p(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X0] :
( big_p(X0)
=> big_p(f(X0)) )
<=> ! [X1] :
( ? [X2] :
( big_p(X2)
& f(X2) = X1 )
=> big_p(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X2] :
( big_p(X2)
=> big_p(f(X2)) )
<=> ! [X0] :
( ? [X1] :
( f(X1) = X0
& big_p(X1) )
=> big_p(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X2] :
( big_p(X2)
=> big_p(f(X2)) )
<=> ! [X0] :
( ? [X1] :
( f(X1) = X0
& big_p(X1) )
=> big_p(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel56) ).
fof(f41,plain,
( ~ spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f10,f33,f28]) ).
fof(f10,plain,
( big_p(sK0)
| ~ big_p(sK1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f40,plain,
( spl3_6
| spl3_6 ),
inference(avatar_split_clause,[],[f12,f38,f38]) ).
fof(f12,plain,
! [X2,X0] :
( big_p(f(X0))
| ~ big_p(X0)
| ~ big_p(X2)
| big_p(f(X2)) ),
inference(equality_resolution,[],[f9]) ).
fof(f9,plain,
! [X2,X0,X1] :
( big_p(X1)
| ~ big_p(X2)
| f(X2) != X1
| big_p(f(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
( spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f8,f33,f18]) ).
fof(f8,plain,
( big_p(sK0)
| f(sK2) = sK1 ),
inference(cnf_transformation,[],[f4]) ).
fof(f31,plain,
( ~ spl3_4
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f11,f14,f28]) ).
fof(f11,plain,
( ~ big_p(f(sK0))
| ~ big_p(sK1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
( spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f5,f14,f23]) ).
fof(f5,plain,
( ~ big_p(f(sK0))
| big_p(sK2) ),
inference(cnf_transformation,[],[f4]) ).
fof(f21,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f6,f18,f14]) ).
fof(f6,plain,
( f(sK2) = sK1
| ~ big_p(f(sK0)) ),
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 21:30:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (17826)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52 % (17824)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (17818)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)
% 0.20/0.52 % (17810)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)
% 0.20/0.52 % (17816)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (17811)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (17811)First to succeed.
% 0.20/0.52 % (17832)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.52 % (17832)Also succeeded, but the first one will report.
% 0.20/0.52 % (17805)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (17811)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.53 % (17811)------------------------------
% 1.27/0.53 % (17811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.53 % (17811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.53 % (17811)Termination reason: Refutation
% 1.27/0.53
% 1.27/0.53 % (17811)Memory used [KB]: 5884
% 1.27/0.53 % (17811)Time elapsed: 0.111 s
% 1.27/0.53 % (17811)Instructions burned: 2 (million)
% 1.27/0.53 % (17811)------------------------------
% 1.27/0.53 % (17811)------------------------------
% 1.27/0.53 % (17802)Success in time 0.165 s
%------------------------------------------------------------------------------