TSTP Solution File: SET010-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET010-1 : 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_uns --cores 0 -t %d %s
% Computer : n002.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 18:18:18 EDT 2022
% Result : Unsatisfiable 1.50s 0.53s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 10 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 112 ( 52 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(unit_resulting_resolution,[],[f25,f68,f65,f76,f15]) ).
fof(f15,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| ~ member(X0,X4)
| member(X0,X6)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).
fof(f76,plain,
~ member(g(cDa,cDb,cD_aIb),aIb),
inference(subsumption_resolution,[],[f74,f68]) ).
fof(f74,plain,
( ~ member(g(cDa,cDb,cD_aIb),a)
| ~ member(g(cDa,cDb,cD_aIb),aIb) ),
inference(resolution,[],[f72,f37]) ).
fof(f37,plain,
! [X1] :
( ~ member(X1,cDa)
| ~ member(X1,a) ),
inference(resolution,[],[f26,f20]) ).
fof(f20,axiom,
! [X3,X0,X8,X4] :
( ~ difference(X8,X3,X4)
| ~ member(X0,X4)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_member_of_difference) ).
fof(f26,axiom,
difference(c,a,cDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_minus_a) ).
fof(f72,plain,
( member(g(cDa,cDb,cD_aIb),cDa)
| ~ member(g(cDa,cDb,cD_aIb),aIb) ),
inference(subsumption_resolution,[],[f70,f65]) ).
fof(f70,plain,
( ~ member(g(cDa,cDb,cD_aIb),aIb)
| ~ member(g(cDa,cDb,cD_aIb),b)
| member(g(cDa,cDb,cD_aIb),cDa) ),
inference(resolution,[],[f59,f40]) ).
fof(f40,plain,
! [X1] :
( ~ member(X1,cDb)
| ~ member(X1,b) ),
inference(resolution,[],[f27,f20]) ).
fof(f27,axiom,
difference(c,b,cDb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_minus_b) ).
fof(f59,plain,
( member(g(cDa,cDb,cD_aIb),cDb)
| ~ member(g(cDa,cDb,cD_aIb),aIb)
| member(g(cDa,cDb,cD_aIb),cDa) ),
inference(resolution,[],[f32,f43]) ).
fof(f43,plain,
! [X1] :
( ~ member(X1,cD_aIb)
| ~ member(X1,aIb) ),
inference(resolution,[],[f28,f20]) ).
fof(f28,axiom,
difference(c,aIb,cD_aIb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_minus_aIb) ).
fof(f32,plain,
( member(g(cDa,cDb,cD_aIb),cD_aIb)
| member(g(cDa,cDb,cD_aIb),cDb)
| member(g(cDa,cDb,cD_aIb),cDa) ),
inference(resolution,[],[f29,f10]) ).
fof(f10,axiom,
! [X3,X4,X5] :
( union(X3,X4,X5)
| member(g(X3,X4,X5),X5)
| member(g(X3,X4,X5),X4)
| member(g(X3,X4,X5),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_axiom1) ).
fof(f29,axiom,
~ union(cDa,cDb,cD_aIb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cDa_union_cDb_is_cD_aIb) ).
fof(f65,plain,
member(g(cDa,cDb,cD_aIb),b),
inference(subsumption_resolution,[],[f64,f34]) ).
fof(f34,plain,
! [X1] :
( ~ member(X1,aIb)
| member(X1,b) ),
inference(resolution,[],[f25,f14]) ).
fof(f14,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| member(X0,X4)
| ~ member(X0,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).
fof(f64,plain,
( member(g(cDa,cDb,cD_aIb),aIb)
| member(g(cDa,cDb,cD_aIb),b) ),
inference(subsumption_resolution,[],[f63,f62]) ).
fof(f62,plain,
member(g(cDa,cDb,cD_aIb),c),
inference(subsumption_resolution,[],[f61,f39]) ).
fof(f39,plain,
! [X0] :
( ~ member(X0,cDb)
| member(X0,c) ),
inference(resolution,[],[f27,f19]) ).
fof(f19,axiom,
! [X3,X0,X7,X4] :
( ~ difference(X3,X4,X7)
| member(X0,X3)
| ~ member(X0,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_difference) ).
fof(f61,plain,
( member(g(cDa,cDb,cD_aIb),c)
| member(g(cDa,cDb,cD_aIb),cDb) ),
inference(subsumption_resolution,[],[f60,f36]) ).
fof(f36,plain,
! [X0] :
( ~ member(X0,cDa)
| member(X0,c) ),
inference(resolution,[],[f26,f19]) ).
fof(f60,plain,
( member(g(cDa,cDb,cD_aIb),cDa)
| member(g(cDa,cDb,cD_aIb),cDb)
| member(g(cDa,cDb,cD_aIb),c) ),
inference(resolution,[],[f32,f42]) ).
fof(f42,plain,
! [X0] :
( ~ member(X0,cD_aIb)
| member(X0,c) ),
inference(resolution,[],[f28,f19]) ).
fof(f63,plain,
( member(g(cDa,cDb,cD_aIb),b)
| member(g(cDa,cDb,cD_aIb),aIb)
| ~ member(g(cDa,cDb,cD_aIb),c) ),
inference(resolution,[],[f54,f41]) ).
fof(f41,plain,
! [X2] :
( member(X2,cDb)
| member(X2,b)
| ~ member(X2,c) ),
inference(resolution,[],[f27,f21]) ).
fof(f21,axiom,
! [X3,X0,X7,X4] :
( ~ difference(X3,X4,X7)
| member(X0,X7)
| ~ member(X0,X3)
| member(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_difference_or_set2) ).
fof(f54,plain,
( ~ member(g(cDa,cDb,cD_aIb),cDb)
| member(g(cDa,cDb,cD_aIb),aIb) ),
inference(subsumption_resolution,[],[f53,f39]) ).
fof(f53,plain,
( member(g(cDa,cDb,cD_aIb),aIb)
| ~ member(g(cDa,cDb,cD_aIb),cDb)
| ~ member(g(cDa,cDb,cD_aIb),c) ),
inference(resolution,[],[f30,f44]) ).
fof(f44,plain,
! [X2] :
( member(X2,cD_aIb)
| ~ member(X2,c)
| member(X2,aIb) ),
inference(resolution,[],[f28,f21]) ).
fof(f30,plain,
( ~ member(g(cDa,cDb,cD_aIb),cD_aIb)
| ~ member(g(cDa,cDb,cD_aIb),cDb) ),
inference(resolution,[],[f29,f12]) ).
fof(f12,axiom,
! [X3,X4,X5] :
( union(X3,X4,X5)
| ~ member(g(X3,X4,X5),X5)
| ~ member(g(X3,X4,X5),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_axiom3) ).
fof(f68,plain,
member(g(cDa,cDb,cD_aIb),a),
inference(subsumption_resolution,[],[f67,f33]) ).
fof(f33,plain,
! [X0] :
( ~ member(X0,aIb)
| member(X0,a) ),
inference(resolution,[],[f25,f13]) ).
fof(f13,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| member(X0,X3)
| ~ member(X0,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).
fof(f67,plain,
( member(g(cDa,cDb,cD_aIb),a)
| member(g(cDa,cDb,cD_aIb),aIb) ),
inference(subsumption_resolution,[],[f66,f62]) ).
fof(f66,plain,
( member(g(cDa,cDb,cD_aIb),aIb)
| ~ member(g(cDa,cDb,cD_aIb),c)
| member(g(cDa,cDb,cD_aIb),a) ),
inference(resolution,[],[f56,f38]) ).
fof(f38,plain,
! [X2] :
( member(X2,cDa)
| member(X2,a)
| ~ member(X2,c) ),
inference(resolution,[],[f26,f21]) ).
fof(f56,plain,
( ~ member(g(cDa,cDb,cD_aIb),cDa)
| member(g(cDa,cDb,cD_aIb),aIb) ),
inference(subsumption_resolution,[],[f55,f36]) ).
fof(f55,plain,
( ~ member(g(cDa,cDb,cD_aIb),c)
| ~ member(g(cDa,cDb,cD_aIb),cDa)
| member(g(cDa,cDb,cD_aIb),aIb) ),
inference(resolution,[],[f31,f44]) ).
fof(f31,plain,
( ~ member(g(cDa,cDb,cD_aIb),cD_aIb)
| ~ member(g(cDa,cDb,cD_aIb),cDa) ),
inference(resolution,[],[f29,f11]) ).
fof(f11,axiom,
! [X3,X4,X5] :
( union(X3,X4,X5)
| ~ member(g(X3,X4,X5),X3)
| ~ member(g(X3,X4,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_axiom2) ).
fof(f25,axiom,
intersection(a,b,aIb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_intersection_b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n002.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 13:03:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (14001)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.51 % (14012)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (14018)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.51 % (14013)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.28/0.52 % (14009)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.28/0.52 % (14009)Refutation not found, incomplete strategy% (14009)------------------------------
% 1.28/0.52 % (14009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (14009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (14009)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (14009)Memory used [KB]: 5884
% 1.28/0.52 % (14009)Time elapsed: 0.118 s
% 1.28/0.52 % (14009)Instructions burned: 3 (million)
% 1.28/0.52 % (14009)------------------------------
% 1.28/0.52 % (14009)------------------------------
% 1.28/0.52 % (14007)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.28/0.52 % (14001)Refutation not found, incomplete strategy% (14001)------------------------------
% 1.28/0.52 % (14001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (14001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (14001)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (14001)Memory used [KB]: 5884
% 1.28/0.52 % (14001)Time elapsed: 0.114 s
% 1.28/0.52 % (14001)Instructions burned: 3 (million)
% 1.28/0.52 % (14001)------------------------------
% 1.28/0.52 % (14001)------------------------------
% 1.28/0.52 % (14005)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.28/0.52 % (14016)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.28/0.52 % (14018)Refutation not found, incomplete strategy% (14018)------------------------------
% 1.28/0.52 % (14018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (14018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (14018)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (14018)Memory used [KB]: 10234
% 1.28/0.52 % (14018)Time elapsed: 0.129 s
% 1.28/0.52 % (14018)Instructions burned: 2 (million)
% 1.28/0.52 % (14018)------------------------------
% 1.28/0.52 % (14018)------------------------------
% 1.28/0.52 % (14003)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.28/0.52 % (14016)Instruction limit reached!
% 1.28/0.52 % (14016)------------------------------
% 1.28/0.52 % (14016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (14016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (14016)Termination reason: Unknown
% 1.28/0.52 % (14016)Termination phase: Saturation
% 1.28/0.52
% 1.28/0.52 % (14016)Memory used [KB]: 5884
% 1.28/0.52 % (14016)Time elapsed: 0.117 s
% 1.28/0.52 % (14016)Instructions burned: 2 (million)
% 1.28/0.52 % (14016)------------------------------
% 1.28/0.52 % (14016)------------------------------
% 1.28/0.52 % (14003)Refutation not found, incomplete strategy% (14003)------------------------------
% 1.28/0.52 % (14003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (14003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (14003)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (14003)Memory used [KB]: 5884
% 1.28/0.52 % (14003)Time elapsed: 0.123 s
% 1.28/0.52 % (14003)Instructions burned: 1 (million)
% 1.28/0.52 % (14003)------------------------------
% 1.28/0.52 % (14003)------------------------------
% 1.28/0.53 % (13999)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.28/0.53 % (14012)Instruction limit reached!
% 1.28/0.53 % (14012)------------------------------
% 1.28/0.53 % (14012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (14012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (14012)Termination reason: Unknown
% 1.28/0.53 % (14012)Termination phase: Saturation
% 1.28/0.53
% 1.28/0.53 % (14012)Memory used [KB]: 5884
% 1.28/0.53 % (14012)Time elapsed: 0.129 s
% 1.28/0.53 % (14012)Instructions burned: 4 (million)
% 1.28/0.53 % (14012)------------------------------
% 1.28/0.53 % (14012)------------------------------
% 1.28/0.53 % (14007)Instruction limit reached!
% 1.28/0.53 % (14007)------------------------------
% 1.28/0.53 % (14007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (14029)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.28/0.53 % (14007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (14007)Termination reason: Unknown
% 1.28/0.53 % (14007)Termination phase: Saturation
% 1.28/0.53
% 1.28/0.53 % (14007)Memory used [KB]: 5884
% 1.28/0.53 % (14007)Time elapsed: 0.117 s
% 1.28/0.53 % (14007)Instructions burned: 3 (million)
% 1.28/0.53 % (14007)------------------------------
% 1.28/0.53 % (14007)------------------------------
% 1.28/0.53 % (14000)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.28/0.53 % (14004)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.28/0.53 % (14020)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.28/0.53 % (14025)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.28/0.53 % (14000)First to succeed.
% 1.50/0.53 % (14000)Refutation found. Thanks to Tanya!
% 1.50/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.50/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.53 % (14000)------------------------------
% 1.50/0.53 % (14000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.53 % (14000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.53 % (14000)Termination reason: Refutation
% 1.50/0.53
% 1.50/0.53 % (14000)Memory used [KB]: 1407
% 1.50/0.53 % (14000)Time elapsed: 0.136 s
% 1.50/0.53 % (14000)Instructions burned: 5 (million)
% 1.50/0.53 % (14000)------------------------------
% 1.50/0.53 % (14000)------------------------------
% 1.50/0.53 % (13998)Success in time 0.177 s
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