TSTP Solution File: SYN396+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN396+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 : n001.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 19:26:29 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 1 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 31 ~; 19 |; 3 &)
% ( 6 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 24 ( 13 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,plain,
$false,
inference(avatar_sat_refutation,[],[f15,f24,f28,f30]) ).
fof(f30,plain,
( ~ spl2_1
| spl2_3 ),
inference(avatar_contradiction_clause,[],[f29]) ).
fof(f29,plain,
( $false
| ~ spl2_1
| spl2_3 ),
inference(subsumption_resolution,[],[f23,f14]) ).
fof(f14,plain,
( ! [X0] : f(X0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl2_1
<=> ! [X0] : f(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f23,plain,
( ~ f(sK0)
| spl2_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl2_3
<=> f(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f28,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f25,plain,
( $false
| ~ spl2_1
| spl2_2 ),
inference(unit_resulting_resolution,[],[f14,f19]) ).
fof(f19,plain,
( ~ f(sK1)
| spl2_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl2_2
<=> f(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f24,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f10,f21,f17]) ).
fof(f10,plain,
( ~ f(sK0)
| ~ f(sK1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ! [X0] : f(X0)
| ! [X1] : f(X1) )
& ( ~ f(sK0)
| ~ f(sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X2] : ~ f(X2)
=> ~ f(sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X3] : ~ f(X3)
=> ~ f(sK1) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ! [X0] : f(X0)
| ! [X1] : f(X1) )
& ( ? [X2] : ~ f(X2)
| ? [X3] : ~ f(X3) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ! [X1] : f(X1)
| ! [X0] : f(X0) )
& ( ? [X1] : ~ f(X1)
| ? [X0] : ~ f(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ? [X0] : ~ f(X0)
<~> ? [X1] : ~ f(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X0] : ~ f(X0)
<=> ~ ! [X1] : f(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X1] : ~ f(X1)
<=> ~ ! [X0] : f(X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X1] : ~ f(X1)
<=> ~ ! [X0] : f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish203) ).
fof(f15,plain,
( spl2_1
| spl2_1 ),
inference(avatar_split_clause,[],[f11,f13,f13]) ).
fof(f11,plain,
! [X0,X1] :
( f(X1)
| f(X0) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN396+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 22:12:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (26065)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)
% 0.18/0.49 % (26058)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.49 % (26084)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.50 % (26077)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (26083)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)
% 0.18/0.50 % (26067)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)
% 0.18/0.50 % (26065)First to succeed.
% 0.18/0.50 % (26063)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)
% 0.18/0.50 % (26065)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (26065)------------------------------
% 0.18/0.50 % (26065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (26065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (26065)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (26065)Memory used [KB]: 5884
% 0.18/0.50 % (26065)Time elapsed: 0.101 s
% 0.18/0.50 % (26065)Instructions burned: 1 (million)
% 0.18/0.50 % (26065)------------------------------
% 0.18/0.50 % (26065)------------------------------
% 0.18/0.50 % (26057)Success in time 0.16 s
%------------------------------------------------------------------------------