TSTP Solution File: SET012-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET012-2 : 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 : n025.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 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 12 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 25 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f125,plain,
$false,
inference(avatar_sat_refutation,[],[f99,f107,f123]) ).
fof(f123,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f119,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f98,f24]) ).
fof(f24,axiom,
~ equal_sets(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_c) ).
fof(f98,plain,
( equal_sets(a,c)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_2
<=> equal_sets(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f107,plain,
spl0_1,
inference(avatar_split_clause,[],[f106,f92]) ).
fof(f92,plain,
( spl0_1
<=> subset(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f106,plain,
subset(c,a),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f103,plain,
( subset(c,a)
| subset(c,a) ),
inference(resolution,[],[f85,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(f85,plain,
! [X0] :
( member(member_of_1_not_of_2(c,X0),a)
| subset(c,X0) ),
inference(resolution,[],[f80,f57]) ).
fof(f57,plain,
! [X0] :
( member(X0,b)
| member(X0,a) ),
inference(resolution,[],[f53,f5]) ).
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(f53,plain,
! [X4] :
( ~ member(X4,complement(a))
| member(X4,b) ),
inference(resolution,[],[f2,f26]) ).
fof(f26,plain,
subset(complement(a),b),
inference(resolution,[],[f13,f22]) ).
fof(f22,axiom,
equal_sets(complement(a),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_a_is_b) ).
fof(f13,axiom,
! [X2,X3] :
( ~ equal_sets(X2,X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_equal_sets_are_subsets1) ).
fof(f2,axiom,
! [X2,X3,X1] :
( ~ subset(X2,X3)
| member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',membership_in_subsets) ).
fof(f80,plain,
! [X1] :
( ~ member(member_of_1_not_of_2(c,X1),b)
| subset(c,X1) ),
inference(resolution,[],[f77,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(f77,plain,
! [X1] :
( ~ member(X1,c)
| ~ member(X1,b) ),
inference(resolution,[],[f56,f6]) ).
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(f56,plain,
! [X7] :
( member(X7,complement(b))
| ~ member(X7,c) ),
inference(resolution,[],[f2,f30]) ).
fof(f30,plain,
subset(c,complement(b)),
inference(resolution,[],[f14,f23]) ).
fof(f23,axiom,
equal_sets(complement(b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_b_is_c) ).
fof(f14,axiom,
! [X2,X3] :
( ~ equal_sets(X3,X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_equal_sets_are_subsets2) ).
fof(f99,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f89,f96,f92]) ).
fof(f89,plain,
( equal_sets(a,c)
| ~ subset(c,a) ),
inference(resolution,[],[f88,f15]) ).
fof(f15,axiom,
! [X6,X7] :
( ~ subset(X7,X6)
| ~ subset(X6,X7)
| equal_sets(X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
fof(f88,plain,
subset(a,c),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f87,plain,
( subset(a,c)
| subset(a,c) ),
inference(resolution,[],[f81,f3]) ).
fof(f81,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(X0,c),a)
| subset(X0,c) ),
inference(resolution,[],[f62,f64]) ).
fof(f64,plain,
! [X1] :
( ~ member(X1,b)
| ~ member(X1,a) ),
inference(resolution,[],[f55,f6]) ).
fof(f55,plain,
! [X6] :
( member(X6,complement(a))
| ~ member(X6,b) ),
inference(resolution,[],[f2,f29]) ).
fof(f29,plain,
subset(b,complement(a)),
inference(resolution,[],[f14,f22]) ).
fof(f62,plain,
! [X0] :
( member(member_of_1_not_of_2(X0,c),b)
| subset(X0,c) ),
inference(resolution,[],[f60,f4]) ).
fof(f60,plain,
! [X0] :
( member(X0,c)
| member(X0,b) ),
inference(resolution,[],[f54,f5]) ).
fof(f54,plain,
! [X5] :
( ~ member(X5,complement(b))
| member(X5,c) ),
inference(resolution,[],[f2,f27]) ).
fof(f27,plain,
subset(complement(b),c),
inference(resolution,[],[f13,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET012-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n025.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 13:00:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (23275)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)
% 0.18/0.46 % (23283)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.46 TRYING [1]
% 0.18/0.46 TRYING [2]
% 0.18/0.46 TRYING [3]
% 0.18/0.46 % (23292)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)
% 0.18/0.47 TRYING [4]
% 0.18/0.48 % (23283)Instruction limit reached!
% 0.18/0.48 % (23283)------------------------------
% 0.18/0.48 % (23283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (23283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (23283)Termination reason: Unknown
% 0.18/0.48 % (23283)Termination phase: Property scanning
% 0.18/0.48
% 0.18/0.48 % (23283)Memory used [KB]: 895
% 0.18/0.48 % (23283)Time elapsed: 0.003 s
% 0.18/0.48 % (23283)Instructions burned: 2 (million)
% 0.18/0.48 % (23283)------------------------------
% 0.18/0.48 % (23283)------------------------------
% 0.18/0.48 TRYING [5]
% 0.18/0.48 % (23277)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)
% 0.18/0.48 % (23285)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.49 TRYING [6]
% 0.18/0.50 % (23286)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)
% 0.18/0.50 % (23286)First to succeed.
% 0.18/0.50 % (23289)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (23287)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (23278)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (23286)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
% 0.18/0.50 % (23286)------------------------------
% 0.18/0.50 % (23286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (23286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (23286)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (23286)Memory used [KB]: 5500
% 0.18/0.50 % (23286)Time elapsed: 0.112 s
% 0.18/0.50 % (23286)Instructions burned: 2 (million)
% 0.18/0.50 % (23286)------------------------------
% 0.18/0.50 % (23286)------------------------------
% 0.18/0.50 % (23272)Success in time 0.161 s
%------------------------------------------------------------------------------