TSTP Solution File: TOP005-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP005-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n012.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 19:53:20 EDT 2022
% Result : Unsatisfiable 1.73s 0.58s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 120 ( 63 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f343,plain,
$false,
inference(subsumption_resolution,[],[f342,f16]) ).
fof(f16,plain,
element_of_set(f11(f,union_of_members(g)),union_of_members(g)),
inference(resolution,[],[f6,f12]) ).
fof(f12,axiom,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1e_3) ).
fof(f6,axiom,
! [X0,X1] :
( element_of_collection(X0,top_of_basis(X1))
| element_of_set(f11(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_40) ).
fof(f342,plain,
~ element_of_set(f11(f,union_of_members(g)),union_of_members(g)),
inference(resolution,[],[f340,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( element_of_collection(f1(X1,X0),X1)
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_2) ).
fof(f340,plain,
~ element_of_collection(f1(g,f11(f,union_of_members(g))),g),
inference(resolution,[],[f339,f13]) ).
fof(f13,plain,
! [X0] :
( element_of_collection(X0,top_of_basis(f))
| ~ element_of_collection(X0,g) ),
inference(resolution,[],[f10,f11]) ).
fof(f11,axiom,
subset_collections(g,top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1e_2) ).
fof(f10,axiom,
! [X2,X0,X4] :
( ~ subset_collections(X2,X4)
| element_of_collection(X0,X4)
| ~ element_of_collection(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_21) ).
fof(f339,plain,
~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f)),
inference(subsumption_resolution,[],[f338,f16]) ).
fof(f338,plain,
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f))
| ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g)) ),
inference(duplicate_literal_removal,[],[f337]) ).
fof(f337,plain,
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f))
| ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g)) ),
inference(resolution,[],[f336,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( element_of_set(X0,f1(X1,X0))
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_1) ).
fof(f336,plain,
! [X0] :
( ~ element_of_set(f11(f,union_of_members(g)),f1(g,X0))
| ~ element_of_collection(f1(g,X0),top_of_basis(f))
| ~ element_of_set(X0,union_of_members(g)) ),
inference(subsumption_resolution,[],[f327,f12]) ).
fof(f327,plain,
! [X0] :
( element_of_collection(union_of_members(g),top_of_basis(f))
| ~ element_of_set(X0,union_of_members(g))
| ~ element_of_set(f11(f,union_of_members(g)),f1(g,X0))
| ~ element_of_collection(f1(g,X0),top_of_basis(f)) ),
inference(duplicate_literal_removal,[],[f324]) ).
fof(f324,plain,
! [X0] :
( element_of_collection(union_of_members(g),top_of_basis(f))
| ~ element_of_set(X0,union_of_members(g))
| ~ element_of_set(f11(f,union_of_members(g)),f1(g,X0))
| ~ element_of_set(f11(f,union_of_members(g)),f1(g,X0))
| ~ element_of_collection(f1(g,X0),top_of_basis(f)) ),
inference(resolution,[],[f313,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( element_of_collection(f10(X1,X0,X2),X1)
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_38) ).
fof(f313,plain,
! [X2,X3] :
( ~ element_of_collection(f10(f,f1(g,X3),f11(X2,union_of_members(g))),X2)
| ~ element_of_set(f11(X2,union_of_members(g)),f1(g,X3))
| element_of_collection(union_of_members(g),top_of_basis(X2))
| ~ element_of_set(X3,union_of_members(g)) ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f290,plain,
! [X2,X3] :
( ~ element_of_set(f11(X2,union_of_members(g)),f1(g,X3))
| ~ element_of_set(f11(X2,union_of_members(g)),f1(g,X3))
| element_of_collection(union_of_members(g),top_of_basis(X2))
| ~ element_of_collection(f10(f,f1(g,X3),f11(X2,union_of_members(g))),X2)
| ~ element_of_set(X3,union_of_members(g))
| ~ element_of_set(X3,union_of_members(g)) ),
inference(resolution,[],[f220,f72]) ).
fof(f72,plain,
! [X0,X1] :
( subset_sets(f10(f,f1(g,X0),X1),union_of_members(g))
| ~ element_of_set(X1,f1(g,X0))
| ~ element_of_set(X0,union_of_members(g)) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ element_of_set(X0,union_of_members(g))
| subset_sets(f10(f,f1(g,X0),X1),union_of_members(g))
| ~ element_of_set(X1,f1(g,X0))
| ~ element_of_set(X0,union_of_members(g)) ),
inference(resolution,[],[f68,f2]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ element_of_collection(f1(g,X0),X2)
| ~ element_of_set(X0,union_of_members(g))
| ~ element_of_set(X1,f1(g,X0))
| subset_sets(f10(f,f1(g,X0),X1),union_of_members(X2)) ),
inference(resolution,[],[f67,f9]) ).
fof(f9,axiom,
! [X2,X4,X5] :
( ~ subset_sets(X2,X4)
| ~ element_of_collection(X4,X5)
| subset_sets(X2,union_of_members(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_20) ).
fof(f67,plain,
! [X0,X1] :
( subset_sets(f10(f,f1(g,X1),X0),f1(g,X1))
| ~ element_of_set(X1,union_of_members(g))
| ~ element_of_set(X0,f1(g,X1)) ),
inference(resolution,[],[f64,f2]) ).
fof(f64,plain,
! [X0,X1] :
( ~ element_of_collection(X1,g)
| ~ element_of_set(X0,X1)
| subset_sets(f10(f,X1,X0),X1) ),
inference(resolution,[],[f5,f13]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0)
| subset_sets(f10(X1,X0,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_39) ).
fof(f220,plain,
! [X3,X4,X5] :
( ~ subset_sets(f10(f,f1(g,X3),f11(X4,X5)),X5)
| ~ element_of_set(f11(X4,X5),f1(g,X3))
| ~ element_of_set(X3,union_of_members(g))
| element_of_collection(X5,top_of_basis(X4))
| ~ element_of_collection(f10(f,f1(g,X3),f11(X4,X5)),X4) ),
inference(resolution,[],[f7,f79]) ).
fof(f79,plain,
! [X0,X1] :
( element_of_set(X0,f10(f,f1(g,X1),X0))
| ~ element_of_set(X1,union_of_members(g))
| ~ element_of_set(X0,f1(g,X1)) ),
inference(resolution,[],[f76,f2]) ).
fof(f76,plain,
! [X0,X1] :
( ~ element_of_collection(X1,g)
| ~ element_of_set(X0,X1)
| element_of_set(X0,f10(f,X1,X0)) ),
inference(resolution,[],[f3,f13]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ element_of_collection(X0,top_of_basis(X1))
| element_of_set(X2,f10(X1,X0,X2))
| ~ element_of_set(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_37) ).
fof(f7,axiom,
! [X3,X0,X1] :
( ~ element_of_set(f11(X1,X0),X3)
| ~ element_of_collection(X3,X1)
| element_of_collection(X0,top_of_basis(X1))
| ~ subset_sets(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_41) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP005-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % 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 : n012.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 : Mon Aug 29 14:31:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.46 % (6234)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.48 % (6226)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 % (6221)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (6221)Instruction limit reached!
% 0.18/0.50 % (6221)------------------------------
% 0.18/0.50 % (6221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (6221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (6221)Termination reason: Unknown
% 0.18/0.50 % (6221)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (6221)Memory used [KB]: 5373
% 0.18/0.50 % (6221)Time elapsed: 0.104 s
% 0.18/0.50 % (6221)Instructions burned: 2 (million)
% 0.18/0.50 % (6221)------------------------------
% 0.18/0.50 % (6221)------------------------------
% 0.18/0.50 % (6214)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (6214)Refutation not found, incomplete strategy% (6214)------------------------------
% 0.18/0.50 % (6214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (6214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (6214)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (6214)Memory used [KB]: 5373
% 0.18/0.50 % (6214)Time elapsed: 0.104 s
% 0.18/0.50 % (6214)------------------------------
% 0.18/0.50 % (6214)------------------------------
% 0.18/0.50 % (6235)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.51 % (6227)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)
% 0.18/0.51 % (6218)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)
% 0.18/0.51 % (6215)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)
% 0.18/0.52 % (6228)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)
% 0.18/0.52 % (6217)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (6216)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)
% 0.18/0.52 % (6220)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52 % (6222)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (6223)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (6224)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)
% 0.18/0.52 % (6233)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.53 % (6241)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (6236)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)
% 0.18/0.53 % (6240)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.53 % (6237)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54 % (6238)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.54 % (6242)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.54 % (6213)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)
% 0.18/0.54 % (6219)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)
% 0.18/0.54 % (6229)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)
% 0.18/0.54 TRYING [1]
% 0.18/0.54 TRYING [1]
% 0.18/0.54 TRYING [2]
% 0.18/0.54 TRYING [2]
% 0.18/0.54 TRYING [3]
% 0.18/0.54 TRYING [3]
% 0.18/0.54 % (6225)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54 % (6239)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)
% 0.18/0.54 TRYING [4]
% 0.18/0.55 % (6220)Instruction limit reached!
% 0.18/0.55 % (6220)------------------------------
% 0.18/0.55 % (6220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (6220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (6220)Termination reason: Unknown
% 0.18/0.55 % (6220)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (6220)Memory used [KB]: 5500
% 0.18/0.55 % (6220)Time elapsed: 0.139 s
% 0.18/0.55 % (6220)Instructions burned: 7 (million)
% 0.18/0.55 % (6220)------------------------------
% 0.18/0.55 % (6220)------------------------------
% 0.18/0.55 % (6232)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)
% 0.18/0.55 % (6230)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.55 TRYING [1]
% 0.18/0.55 % (6231)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.55 TRYING [2]
% 0.18/0.55 TRYING [3]
% 0.18/0.55 TRYING [4]
% 0.18/0.55 % (6233)First to succeed.
% 0.18/0.56 TRYING [4]
% 1.73/0.58 % (6233)Refutation found. Thanks to Tanya!
% 1.73/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.73/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.58 % (6233)------------------------------
% 1.73/0.58 % (6233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.58 % (6233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58 % (6233)Termination reason: Refutation
% 1.73/0.58
% 1.73/0.58 % (6233)Memory used [KB]: 5628
% 1.73/0.58 % (6233)Time elapsed: 0.175 s
% 1.73/0.58 % (6233)Instructions burned: 20 (million)
% 1.73/0.58 % (6233)------------------------------
% 1.73/0.58 % (6233)------------------------------
% 1.73/0.58 % (6212)Success in time 0.232 s
%------------------------------------------------------------------------------