TSTP Solution File: LAT035-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT035-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n013.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 17:31:33 EDT 2022
% Result : Unsatisfiable 0.15s 0.44s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 29 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f215,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f32,f214]) ).
fof(f214,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f213,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f212]) ).
fof(f212,plain,
( f(k(join(aa,bb))) != f(k(join(aa,bb)))
| spl0_1 ),
inference(superposition,[],[f103,f14]) ).
fof(f14,axiom,
! [X3,X4] : k(join(X3,X4)) = meet(k(X3),k(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_join) ).
fof(f103,plain,
( f(k(join(aa,bb))) != f(meet(k(aa),k(bb)))
| spl0_1 ),
inference(superposition,[],[f24,f18]) ).
fof(f18,axiom,
! [X3,X4] : f(meet(X3,X4)) = join(f(X3),f(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_meet) ).
fof(f24,plain,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl0_1
<=> f(k(join(aa,bb))) = join(f(k(aa)),f(k(bb))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f32,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f31]) ).
fof(f31,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f19,f30]) ).
fof(f30,plain,
( n0 != f(n1)
| spl0_2 ),
inference(backward_demodulation,[],[f28,f16]) ).
fof(f16,axiom,
n1 = k(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_bottom) ).
fof(f28,plain,
( n0 != f(k(n0))
| spl0_2 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl0_2
<=> n0 = f(k(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f19,axiom,
n0 = f(n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_top) ).
fof(f29,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f20,f26,f22]) ).
fof(f20,axiom,
( n0 != f(k(n0))
| f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comp_join_hemimorphism) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LAT035-1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n013.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 00:40:02 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.15/0.43 % (24676)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.43 % (24684)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.15/0.44 % (24684)First to succeed.
% 0.15/0.44 % (24676)Instruction limit reached!
% 0.15/0.44 % (24676)------------------------------
% 0.15/0.44 % (24676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.44 % (24676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.44 % (24676)Termination reason: Unknown
% 0.15/0.44 % (24676)Termination phase: Saturation
% 0.15/0.44
% 0.15/0.44 % (24676)Memory used [KB]: 5884
% 0.15/0.44 % (24676)Time elapsed: 0.055 s
% 0.15/0.44 % (24676)Instructions burned: 2 (million)
% 0.15/0.44 % (24676)------------------------------
% 0.15/0.44 % (24676)------------------------------
% 0.15/0.44 % (24684)Refutation found. Thanks to Tanya!
% 0.15/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.44 % (24684)------------------------------
% 0.15/0.44 % (24684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.44 % (24684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.44 % (24684)Termination reason: Refutation
% 0.15/0.44
% 0.15/0.44 % (24684)Memory used [KB]: 6012
% 0.15/0.44 % (24684)Time elapsed: 0.062 s
% 0.15/0.44 % (24684)Instructions burned: 8 (million)
% 0.15/0.44 % (24684)------------------------------
% 0.15/0.44 % (24684)------------------------------
% 0.15/0.44 % (24659)Success in time 0.115 s
%------------------------------------------------------------------------------