TSTP Solution File: SYN939+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN939+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 : n010.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 19:36:09 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 3 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 131 ( 53 ~; 50 |; 12 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 41 ( 33 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f28,f35,f36,f38,f41,f43,f45,f48]) ).
fof(f48,plain,
( ~ spl2_4
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f47]) ).
fof(f47,plain,
( $false
| ~ spl2_4
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f46,f9]) ).
fof(f9,plain,
! [X2] : q(f(X2)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0,X1] :
( ! [X2] : q(f(X2))
& ! [X3,X4] :
( ~ q(X4)
| ( ~ p(X4)
& p(f(X3)) )
| ( r(X3)
& ( ~ r(X0)
| ~ r(X1) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X1,X0] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( ( r(X3)
=> ( r(X0)
& r(X1) ) )
& q(X4)
& ( p(f(X3))
=> p(X4) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
( ! [X2] : q(f(X2))
=> ? [X4,X3] :
( ( p(f(X4))
=> p(X3) )
& ( r(X4)
=> ( r(X0)
& r(X1) ) )
& q(X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
( ! [X2] : q(f(X2))
=> ? [X4,X3] :
( ( p(f(X4))
=> p(X3) )
& ( r(X4)
=> ( r(X0)
& r(X1) ) )
& q(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f46,plain,
( ! [X0] : ~ q(f(X0))
| ~ spl2_4
| ~ spl2_7 ),
inference(resolution,[],[f34,f23]) ).
fof(f23,plain,
( ! [X3] : p(f(X3))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl2_4
<=> ! [X3] : p(f(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f34,plain,
( ! [X4] :
( ~ p(X4)
| ~ q(X4) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl2_7
<=> ! [X4] :
( ~ q(X4)
| ~ p(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f45,plain,
( spl2_3
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| spl2_3
| ~ spl2_6 ),
inference(resolution,[],[f31,f20]) ).
fof(f20,plain,
( ~ r(sK1)
| spl2_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl2_3
<=> r(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f31,plain,
( ! [X3] : r(X3)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl2_6
<=> ! [X3] : r(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f43,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f42,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f12,f9]) ).
fof(f12,plain,
( ! [X4] : ~ q(X4)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f11,plain,
( spl2_1
<=> ! [X4] : ~ q(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f41,plain,
( spl2_6
| ~ spl2_5
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f40,f33,f26,f30]) ).
fof(f26,plain,
( spl2_5
<=> ! [X3] :
( r(X3)
| p(f(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f40,plain,
( ! [X0] : r(X0)
| ~ spl2_5
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f39,f9]) ).
fof(f39,plain,
( ! [X0] :
( ~ q(f(X0))
| r(X0) )
| ~ spl2_5
| ~ spl2_7 ),
inference(resolution,[],[f27,f34]) ).
fof(f27,plain,
( ! [X3] :
( p(f(X3))
| r(X3) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f38,plain,
( spl2_2
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f37,plain,
( $false
| spl2_2
| ~ spl2_6 ),
inference(resolution,[],[f31,f16]) ).
fof(f16,plain,
( ~ r(sK0)
| spl2_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl2_2
<=> r(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f36,plain,
( spl2_7
| ~ spl2_3
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f5,f14,f18,f33]) ).
fof(f5,plain,
! [X4] :
( ~ r(sK0)
| ~ r(sK1)
| ~ p(X4)
| ~ q(X4) ),
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
( spl2_6
| spl2_7 ),
inference(avatar_split_clause,[],[f8,f33,f30]) ).
fof(f8,plain,
! [X3,X4] :
( ~ q(X4)
| ~ p(X4)
| r(X3) ),
inference(cnf_transformation,[],[f4]) ).
fof(f28,plain,
( spl2_1
| spl2_5 ),
inference(avatar_split_clause,[],[f7,f26,f11]) ).
fof(f7,plain,
! [X3,X4] :
( r(X3)
| ~ q(X4)
| p(f(X3)) ),
inference(cnf_transformation,[],[f4]) ).
fof(f24,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f6,f22,f18,f14,f11]) ).
fof(f6,plain,
! [X3,X4] :
( p(f(X3))
| ~ r(sK1)
| ~ r(sK0)
| ~ q(X4) ),
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN939+1 : TPTP v8.1.0. Released v3.1.0.
% 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
% 0.13/0.33 % Computer : n010.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 22:27:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.47 % (4287)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.47 % (4292)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)
% 0.19/0.48 % (4284)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.48 % (4295)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.48 % (4287)First to succeed.
% 0.19/0.48 % (4295)Also succeeded, but the first one will report.
% 0.19/0.48 % (4287)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 % (4287)------------------------------
% 0.19/0.48 % (4287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (4287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (4287)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (4287)Memory used [KB]: 5884
% 0.19/0.48 % (4287)Time elapsed: 0.103 s
% 0.19/0.48 % (4287)Instructions burned: 1 (million)
% 0.19/0.48 % (4287)------------------------------
% 0.19/0.48 % (4287)------------------------------
% 0.19/0.48 % (4266)Success in time 0.141 s
%------------------------------------------------------------------------------