TSTP Solution File: SET050-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET050-6 : 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 : n008.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 18:23:22 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 27 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f223,plain,
$false,
inference(subsumption_resolution,[],[f222,f113]) ).
fof(f113,plain,
~ member(x,universal_class),
inference(subsumption_resolution,[],[f111,f101]) ).
fof(f101,plain,
~ member(x,sF2),
inference(definition_folding,[],[f93,f100]) ).
fof(f100,plain,
unordered_pair(x,y) = sF2,
introduced(function_definition,[]) ).
fof(f93,axiom,
~ member(x,unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_unordered_pair_2) ).
fof(f111,plain,
( ~ member(x,universal_class)
| member(x,sF2) ),
inference(superposition,[],[f9,f100]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f222,plain,
member(x,universal_class),
inference(resolution,[],[f211,f136]) ).
fof(f136,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f211,plain,
member(x,u),
inference(subsumption_resolution,[],[f210,f99]) ).
fof(f99,plain,
member(sF0,sF1),
inference(definition_folding,[],[f92,f98,f97]) ).
fof(f97,plain,
ordered_pair(x,y) = sF0,
introduced(function_definition,[]) ).
fof(f98,plain,
cross_product(u,v) = sF1,
introduced(function_definition,[]) ).
fof(f92,axiom,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_unordered_pair_1) ).
fof(f210,plain,
( ~ member(sF0,sF1)
| member(x,u) ),
inference(superposition,[],[f196,f98]) ).
fof(f196,plain,
! [X0,X1] :
( ~ member(sF0,cross_product(X0,X1))
| member(x,X0) ),
inference(superposition,[],[f14,f97]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET050-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 13:06:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (25662)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.49 % (25655)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49 % (25655)Instruction limit reached!
% 0.18/0.49 % (25655)------------------------------
% 0.18/0.49 % (25655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (25655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (25655)Termination reason: Unknown
% 0.18/0.49 % (25655)Termination phase: Function definition elimination
% 0.18/0.49
% 0.18/0.49 % (25655)Memory used [KB]: 895
% 0.18/0.49 % (25655)Time elapsed: 0.003 s
% 0.18/0.49 % (25655)Instructions burned: 2 (million)
% 0.18/0.49 % (25655)------------------------------
% 0.18/0.49 % (25655)------------------------------
% 0.18/0.49 % (25670)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.50 % (25662)First to succeed.
% 0.18/0.50 % (25662)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (25662)------------------------------
% 0.18/0.51 % (25662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (25662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (25662)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (25662)Memory used [KB]: 1151
% 0.18/0.51 % (25662)Time elapsed: 0.101 s
% 0.18/0.51 % (25662)Instructions burned: 11 (million)
% 0.18/0.51 % (25662)------------------------------
% 0.18/0.51 % (25662)------------------------------
% 0.18/0.51 % (25646)Success in time 0.165 s
%------------------------------------------------------------------------------