TSTP Solution File: SET012-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET012-1 : 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 : n020.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 18:23:03 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 41 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(subsumption_resolution,[],[f77,f64]) ).
fof(f64,plain,
~ subset(a,sF1),
inference(subsumption_resolution,[],[f63,f25]) ).
fof(f25,plain,
~ equal_sets(sF1,a),
inference(definition_folding,[],[f22,f24,f23]) ).
fof(f23,plain,
complement(a) = sF0,
introduced(function_definition,[]) ).
fof(f24,plain,
sF1 = complement(sF0),
introduced(function_definition,[]) ).
fof(f22,axiom,
~ equal_sets(complement(complement(a)),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_involution) ).
fof(f63,plain,
( equal_sets(sF1,a)
| ~ subset(a,sF1) ),
inference(resolution,[],[f15,f57]) ).
fof(f57,plain,
subset(sF1,a),
inference(duplicate_literal_removal,[],[f56]) ).
fof(f56,plain,
( subset(sF1,a)
| subset(sF1,a) ),
inference(resolution,[],[f50,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( ~ member(member_of_1_not_of_2(X2,X3),X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f50,plain,
! [X0] :
( member(member_of_1_not_of_2(sF1,X0),a)
| subset(sF1,X0) ),
inference(resolution,[],[f40,f30]) ).
fof(f30,plain,
! [X0] :
( member(X0,sF0)
| member(X0,a) ),
inference(superposition,[],[f5,f23]) ).
fof(f5,axiom,
! [X0,X4] :
( member(X0,complement(X4))
| member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set_or_complement) ).
fof(f40,plain,
! [X1] :
( ~ member(member_of_1_not_of_2(sF1,X1),sF0)
| subset(sF1,X1) ),
inference(resolution,[],[f34,f3]) ).
fof(f3,axiom,
! [X2,X3] :
( member(member_of_1_not_of_2(X2,X3),X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f34,plain,
! [X1] :
( ~ member(X1,sF1)
| ~ member(X1,sF0) ),
inference(superposition,[],[f6,f24]) ).
fof(f6,axiom,
! [X0,X4] :
( ~ member(X0,complement(X4))
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_member_of_set_and_complement) ).
fof(f15,axiom,
! [X6,X7] :
( ~ subset(X7,X6)
| equal_sets(X7,X6)
| ~ subset(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
fof(f77,plain,
subset(a,sF1),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f74,plain,
( subset(a,sF1)
| subset(a,sF1) ),
inference(resolution,[],[f54,f3]) ).
fof(f54,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(X0,sF1),a)
| subset(X0,sF1) ),
inference(resolution,[],[f44,f33]) ).
fof(f33,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,a) ),
inference(superposition,[],[f6,f23]) ).
fof(f44,plain,
! [X4] :
( member(member_of_1_not_of_2(X4,sF1),sF0)
| subset(X4,sF1) ),
inference(resolution,[],[f4,f31]) ).
fof(f31,plain,
! [X1] :
( member(X1,sF1)
| member(X1,sF0) ),
inference(superposition,[],[f5,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET012-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 12:53:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (20528)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.51 % (20535)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 TRYING [1]
% 0.21/0.51 TRYING [2]
% 0.21/0.51 % (20541)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51 % (20553)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)
% 0.21/0.51 % (20542)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (20537)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51 % (20543)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (20542)First to succeed.
% 0.21/0.51 % (20533)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (20541)Also succeeded, but the first one will report.
% 0.21/0.51 % (20546)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (20542)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (20542)------------------------------
% 0.21/0.51 % (20542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (20542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (20542)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (20542)Memory used [KB]: 5373
% 0.21/0.51 % (20542)Time elapsed: 0.111 s
% 0.21/0.51 % (20542)Instructions burned: 2 (million)
% 0.21/0.51 % (20542)------------------------------
% 0.21/0.51 % (20542)------------------------------
% 0.21/0.51 % (20524)Success in time 0.161 s
%------------------------------------------------------------------------------