TSTP Solution File: SWV007-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV007-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n015.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 18:55:12 EDT 2022
% Result : Unsatisfiable 0.23s 0.53s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 79 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 72 ( 32 ~; 34 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f301,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f45,f141,f236,f281,f283,f295]) ).
fof(f295,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f291,f16]) ).
fof(f16,axiom,
~ less_than(n,m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f291,plain,
( less_than(n,m)
| ~ spl0_9 ),
inference(superposition,[],[f6,f146]) ).
fof(f146,plain,
( m = successor(n)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl0_9
<=> m = successor(n) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f6,axiom,
! [X0] : less_than(X0,successor(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_than_successor) ).
fof(f283,plain,
( spl0_9
| spl0_10
| spl0_1 ),
inference(avatar_split_clause,[],[f250,f28,f148,f144]) ).
fof(f148,plain,
( spl0_10
<=> less_than(successor(n),m) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f28,plain,
( spl0_1
<=> less_than(m,successor(n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f250,plain,
( less_than(successor(n),m)
| m = successor(n)
| spl0_1 ),
inference(resolution,[],[f30,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_related) ).
fof(f30,plain,
( ~ less_than(m,successor(n))
| spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f281,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f276,f40]) ).
fof(f40,plain,
! [X0] : ~ less_than(successor(X0),X0),
inference(resolution,[],[f10,f6]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ less_than(X1,X0)
| ~ less_than(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anti_symmetry_of_less_than) ).
fof(f276,plain,
( less_than(successor(n),n)
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f248,f150]) ).
fof(f150,plain,
( less_than(successor(n),m)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f248,plain,
( ! [X0] :
( ~ less_than(X0,m)
| less_than(X0,n) )
| ~ spl0_6 ),
inference(resolution,[],[f130,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ less_than(X1,X2)
| less_than(X0,X2)
| ~ less_than(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_than) ).
fof(f130,plain,
( less_than(m,n)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl0_6
<=> less_than(m,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f236,plain,
( spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f235,plain,
( $false
| spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f234,f6]) ).
fof(f234,plain,
( ~ less_than(n,successor(n))
| spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f30,f126]) ).
fof(f126,plain,
( n = m
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_5
<=> n = m ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f141,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f102,f128,f124]) ).
fof(f102,plain,
( less_than(m,n)
| n = m ),
inference(resolution,[],[f8,f16]) ).
fof(f45,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f43,f32]) ).
fof(f32,plain,
( spl0_2
<=> less_than(m,i) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f43,plain,
~ less_than(m,i),
inference(resolution,[],[f10,f17]) ).
fof(f17,axiom,
less_than(i,m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f35,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f26,f32,f28]) ).
fof(f26,plain,
( less_than(m,i)
| ~ less_than(m,successor(n)) ),
inference(resolution,[],[f23,f20]) ).
fof(f20,axiom,
less_than(a(m),a(k)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f23,axiom,
! [X0] :
( ~ less_than(a(X0),a(k))
| ~ less_than(X0,successor(n))
| less_than(X0,i) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.16/0.36 % Computer : n015.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 30 19:10:06 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.23/0.49 % (9216)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.23/0.50 % (9224)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.23/0.51 % (9216)First to succeed.
% 0.23/0.51 % (9207)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.23/0.52 % (9208)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.23/0.52 % (9199)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.23/0.53 % (9217)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.23/0.53 % (9216)Refutation found. Thanks to Tanya!
% 0.23/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.53 % (9216)------------------------------
% 0.23/0.53 % (9216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53 % (9216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53 % (9216)Termination reason: Refutation
% 0.23/0.53
% 0.23/0.53 % (9216)Memory used [KB]: 5628
% 0.23/0.53 % (9216)Time elapsed: 0.102 s
% 0.23/0.53 % (9216)Instructions burned: 13 (million)
% 0.23/0.53 % (9216)------------------------------
% 0.23/0.53 % (9216)------------------------------
% 0.23/0.53 % (9194)Success in time 0.158 s
%------------------------------------------------------------------------------