TSTP Solution File: SET084-6 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET084-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 18:23:36 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 43 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f696,plain,
$false,
inference(avatar_sat_refutation,[],[f180,f191,f692]) ).
fof(f692,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f691,plain,
( $false
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f686]) ).
fof(f686,plain,
( x != x
| ~ spl2_1 ),
inference(superposition,[],[f94,f674]) ).
fof(f674,plain,
( x = y
| ~ spl2_1 ),
inference(resolution,[],[f590,f175]) ).
fof(f175,plain,
( member(y,sF0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl2_1
<=> member(y,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f590,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0 ),
inference(duplicate_literal_removal,[],[f588]) ).
fof(f588,plain,
! [X0] :
( x = X0
| x = X0
| ~ member(X0,sF0) ),
inference(superposition,[],[f8,f147]) ).
fof(f147,plain,
unordered_pair(x,x) = sF0,
introduced(function_definition,[]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f94,axiom,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).
fof(f191,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f190]) ).
fof(f190,plain,
( $false
| spl2_2 ),
inference(resolution,[],[f179,f93]) ).
fof(f93,axiom,
member(y,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).
fof(f179,plain,
( ~ member(y,universal_class)
| spl2_2 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl2_2
<=> member(y,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f180,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f171,f177,f173]) ).
fof(f171,plain,
( ~ member(y,universal_class)
| member(y,sF0) ),
inference(forward_demodulation,[],[f170,f149]) ).
fof(f149,plain,
sF1 = sF0,
inference(definition_folding,[],[f124,f148,f147]) ).
fof(f148,plain,
sF1 = unordered_pair(y,y),
introduced(function_definition,[]) ).
fof(f124,plain,
unordered_pair(x,x) = unordered_pair(y,y),
inference(definition_unfolding,[],[f92,f12,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f92,axiom,
singleton(x) = singleton(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).
fof(f170,plain,
( ~ member(y,universal_class)
| member(y,sF1) ),
inference(superposition,[],[f9,f148]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET084-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:23:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (3201)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49 % (3193)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (3187)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (3184)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (3193)First to succeed.
% 0.20/0.52 % (3186)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (3193)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (3193)------------------------------
% 0.20/0.52 % (3193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (3193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (3193)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (3193)Memory used [KB]: 6140
% 0.20/0.52 % (3193)Time elapsed: 0.106 s
% 0.20/0.52 % (3193)Instructions burned: 21 (million)
% 0.20/0.52 % (3193)------------------------------
% 0.20/0.52 % (3193)------------------------------
% 0.20/0.52 % (3181)Success in time 0.165 s
%------------------------------------------------------------------------------