TSTP Solution File: SYN345-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n006.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 19:26:19 EDT 2022
% Result : Unsatisfiable 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 30 ( 1 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 75 ( 33 ~; 36 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,plain,
$false,
inference(avatar_sat_refutation,[],[f18,f26,f34,f35,f40,f42,f48,f50]) ).
fof(f50,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f49]) ).
fof(f49,plain,
( $false
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f47,f33]) ).
fof(f33,plain,
( ! [X0,X1] : f(b,X0,X1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_6
<=> ! [X0,X1] : f(b,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f47,plain,
( ! [X0,X1] : ~ f(X0,z(X0,X1),z(X0,X1))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_8
<=> ! [X0,X1] : ~ f(X0,z(X0,X1),z(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f48,plain,
( spl0_8
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f4,f12,f20,f46]) ).
fof(f20,plain,
( spl0_3
<=> f(a,b,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f12,plain,
( spl0_1
<=> f(a,a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f4,axiom,
! [X0,X1] :
( f(a,a,b)
| ~ f(a,b,b)
| ~ f(X0,z(X0,X1),z(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f42,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f41]) ).
fof(f41,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f25,f17]) ).
fof(f17,plain,
( ! [X0] : ~ f(b,b,X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl0_2
<=> ! [X0] : ~ f(b,b,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f25,plain,
( ! [X0,X1] : f(X0,X1,z(X0,X1))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl0_4
<=> ! [X0,X1] : f(X0,X1,z(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f40,plain,
( ~ spl0_3
| ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f24,f12,f20]) ).
fof(f6,axiom,
! [X0,X1] :
( f(X0,X1,z(X0,X1))
| ~ f(a,a,b)
| ~ f(a,b,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f35,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f7,f20,f16,f12]) ).
fof(f7,axiom,
! [X0] :
( f(a,b,b)
| ~ f(b,b,X0)
| f(a,a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f34,plain,
( spl0_1
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f3,f32,f20,f12]) ).
fof(f3,axiom,
! [X0,X1] :
( f(b,X0,X1)
| ~ f(a,b,b)
| f(a,a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f26,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f9,f24,f20]) ).
fof(f9,plain,
! [X0,X1] :
( f(X0,X1,z(X0,X1))
| f(a,b,b) ),
inference(subsumption_resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X0] :
( ~ f(a,a,b)
| f(a,b,X0)
| f(a,b,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f5,axiom,
! [X0,X1] :
( f(X0,X1,z(X0,X1))
| f(a,b,b)
| f(a,a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f18,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f16,f12]) ).
fof(f10,plain,
! [X0] :
( ~ f(b,b,X0)
| ~ f(a,a,b) ),
inference(subsumption_resolution,[],[f8,f1]) ).
fof(f8,axiom,
! [X0] :
( ~ f(b,b,X0)
| ~ f(a,a,b)
| ~ f(a,b,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% 0.00/0.12 % 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 : n006.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 21:45:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.47 % (12774)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48 % (12772)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48 % (12766)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.48 % (12774)First to succeed.
% 0.19/0.48 % (12774)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (12774)------------------------------
% 0.19/0.48 % (12774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (12774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (12774)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (12774)Memory used [KB]: 5756
% 0.19/0.48 % (12774)Time elapsed: 0.089 s
% 0.19/0.48 % (12774)Instructions burned: 2 (million)
% 0.19/0.48 % (12774)------------------------------
% 0.19/0.48 % (12774)------------------------------
% 0.19/0.48 % (12764)Success in time 0.144 s
%------------------------------------------------------------------------------