TSTP Solution File: SET007-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET007-1 : 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_sat --cores 0 -t %d %s
% Computer : n007.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 18:23:01 EDT 2022
% Result : Unsatisfiable 1.46s 0.57s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 114 ( 55 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,plain,
$false,
inference(subsumption_resolution,[],[f94,f93]) ).
fof(f93,plain,
~ member(g(aIb,aIc,aI_bUc),b),
inference(subsumption_resolution,[],[f92,f65]) ).
fof(f65,plain,
member(g(aIb,aIc,aI_bUc),a),
inference(subsumption_resolution,[],[f64,f31]) ).
fof(f31,plain,
! [X1] :
( ~ member(X1,aIc)
| member(X1,a) ),
inference(resolution,[],[f13,f21]) ).
fof(f21,axiom,
intersection(a,c,aIc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_c) ).
fof(f13,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| ~ member(X0,X6)
| member(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).
fof(f64,plain,
( member(g(aIb,aIc,aI_bUc),a)
| member(g(aIb,aIc,aI_bUc),aIc) ),
inference(subsumption_resolution,[],[f63,f30]) ).
fof(f30,plain,
! [X0] :
( ~ member(X0,aIb)
| member(X0,a) ),
inference(resolution,[],[f13,f20]) ).
fof(f20,axiom,
intersection(a,b,aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_b) ).
fof(f63,plain,
( member(g(aIb,aIc,aI_bUc),a)
| member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),aIc) ),
inference(resolution,[],[f32,f54]) ).
fof(f54,plain,
( member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),aIc)
| member(g(aIb,aIc,aI_bUc),aIb) ),
inference(resolution,[],[f10,f23]) ).
fof(f23,axiom,
~ union(aIb,aIc,aI_bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_aIb_union_aIc_is_aI_bUc) ).
fof(f10,axiom,
! [X3,X4,X5] :
( union(X3,X4,X5)
| member(g(X3,X4,X5),X4)
| member(g(X3,X4,X5),X3)
| member(g(X3,X4,X5),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_axiom1) ).
fof(f32,plain,
! [X2] :
( ~ member(X2,aI_bUc)
| member(X2,a) ),
inference(resolution,[],[f13,f22]) ).
fof(f22,axiom,
intersection(a,bUc,aI_bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_bUc) ).
fof(f92,plain,
( ~ member(g(aIb,aIc,aI_bUc),b)
| ~ member(g(aIb,aIc,aI_bUc),a) ),
inference(resolution,[],[f87,f37]) ).
fof(f37,plain,
! [X0] :
( member(X0,aIb)
| ~ member(X0,a)
| ~ member(X0,b) ),
inference(resolution,[],[f15,f20]) ).
fof(f15,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| member(X0,X6)
| ~ member(X0,X3)
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).
fof(f87,plain,
~ member(g(aIb,aIc,aI_bUc),aIb),
inference(subsumption_resolution,[],[f86,f65]) ).
fof(f86,plain,
( ~ member(g(aIb,aIc,aI_bUc),a)
| ~ member(g(aIb,aIc,aI_bUc),aIb) ),
inference(subsumption_resolution,[],[f81,f72]) ).
fof(f72,plain,
member(g(aIb,aIc,aI_bUc),bUc),
inference(subsumption_resolution,[],[f70,f28]) ).
fof(f28,plain,
! [X0] :
( member(X0,bUc)
| ~ member(X0,b) ),
inference(resolution,[],[f8,f19]) ).
fof(f19,axiom,
union(b,c,bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_union_c) ).
fof(f8,axiom,
! [X3,X0,X4,X5] :
( ~ union(X3,X4,X5)
| ~ member(X0,X3)
| member(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set1_is_member_of_union) ).
fof(f70,plain,
( member(g(aIb,aIc,aI_bUc),b)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference(resolution,[],[f69,f33]) ).
fof(f33,plain,
! [X0] :
( ~ member(X0,aIb)
| member(X0,b) ),
inference(resolution,[],[f14,f20]) ).
fof(f14,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| member(X0,X4)
| ~ member(X0,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).
fof(f69,plain,
( member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference(subsumption_resolution,[],[f67,f29]) ).
fof(f29,plain,
! [X0] :
( member(X0,bUc)
| ~ member(X0,c) ),
inference(resolution,[],[f9,f19]) ).
fof(f9,axiom,
! [X3,X0,X4,X5] :
( ~ union(X3,X4,X5)
| ~ member(X0,X4)
| member(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set2_is_member_of_union) ).
fof(f67,plain,
( member(g(aIb,aIc,aI_bUc),bUc)
| member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),c) ),
inference(resolution,[],[f66,f34]) ).
fof(f34,plain,
! [X1] :
( ~ member(X1,aIc)
| member(X1,c) ),
inference(resolution,[],[f14,f21]) ).
fof(f66,plain,
( member(g(aIb,aIc,aI_bUc),aIc)
| member(g(aIb,aIc,aI_bUc),bUc)
| member(g(aIb,aIc,aI_bUc),aIb) ),
inference(resolution,[],[f35,f54]) ).
fof(f35,plain,
! [X2] :
( ~ member(X2,aI_bUc)
| member(X2,bUc) ),
inference(resolution,[],[f14,f22]) ).
fof(f81,plain,
( ~ member(g(aIb,aIc,aI_bUc),bUc)
| ~ member(g(aIb,aIc,aI_bUc),aIb)
| ~ member(g(aIb,aIc,aI_bUc),a) ),
inference(resolution,[],[f39,f40]) ).
fof(f40,plain,
( ~ member(g(aIb,aIc,aI_bUc),aI_bUc)
| ~ member(g(aIb,aIc,aI_bUc),aIb) ),
inference(resolution,[],[f11,f23]) ).
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/sandbox2/benchmark/theBenchmark.p',union_axiom2) ).
fof(f39,plain,
! [X2] :
( member(X2,aI_bUc)
| ~ member(X2,a)
| ~ member(X2,bUc) ),
inference(resolution,[],[f15,f22]) ).
fof(f94,plain,
member(g(aIb,aIc,aI_bUc),b),
inference(resolution,[],[f90,f75]) ).
fof(f75,plain,
( member(g(aIb,aIc,aI_bUc),c)
| member(g(aIb,aIc,aI_bUc),b) ),
inference(resolution,[],[f36,f72]) ).
fof(f36,plain,
! [X0] :
( ~ member(X0,bUc)
| member(X0,c)
| member(X0,b) ),
inference(resolution,[],[f7,f19]) ).
fof(f7,axiom,
! [X3,X0,X4,X5] :
( ~ union(X3,X4,X5)
| member(X0,X3)
| ~ member(X0,X5)
| member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_union_is_member_of_one_set) ).
fof(f90,plain,
~ member(g(aIb,aIc,aI_bUc),c),
inference(subsumption_resolution,[],[f89,f65]) ).
fof(f89,plain,
( ~ member(g(aIb,aIc,aI_bUc),c)
| ~ member(g(aIb,aIc,aI_bUc),a) ),
inference(resolution,[],[f85,f38]) ).
fof(f38,plain,
! [X1] :
( member(X1,aIc)
| ~ member(X1,c)
| ~ member(X1,a) ),
inference(resolution,[],[f15,f21]) ).
fof(f85,plain,
~ member(g(aIb,aIc,aI_bUc),aIc),
inference(subsumption_resolution,[],[f84,f72]) ).
fof(f84,plain,
( ~ member(g(aIb,aIc,aI_bUc),bUc)
| ~ member(g(aIb,aIc,aI_bUc),aIc) ),
inference(subsumption_resolution,[],[f80,f65]) ).
fof(f80,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIc)
| ~ member(g(aIb,aIc,aI_bUc),a)
| ~ member(g(aIb,aIc,aI_bUc),bUc) ),
inference(resolution,[],[f39,f44]) ).
fof(f44,plain,
( ~ member(g(aIb,aIc,aI_bUc),aI_bUc)
| ~ member(g(aIb,aIc,aI_bUc),aIc) ),
inference(resolution,[],[f12,f23]) ).
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/sandbox2/benchmark/theBenchmark.p',union_axiom3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET007-1 : 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_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 12:35:46 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.21/0.53 % (8899)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.21/0.53 % (8899)Instruction limit reached!
% 1.21/0.53 % (8899)------------------------------
% 1.21/0.53 % (8899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.53 % (8899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.53 % (8899)Termination reason: Unknown
% 1.21/0.53 % (8899)Termination phase: Saturation
% 1.21/0.53
% 1.21/0.53 % (8899)Memory used [KB]: 5373
% 1.21/0.53 % (8899)Time elapsed: 0.114 s
% 1.21/0.53 % (8899)Instructions burned: 3 (million)
% 1.21/0.53 % (8899)------------------------------
% 1.21/0.53 % (8899)------------------------------
% 1.21/0.53 % (8914)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)
% 1.21/0.53 % (8915)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.21/0.54 % (8905)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)
% 1.21/0.54 % (8907)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)
% 1.21/0.54 % (8897)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)
% 1.46/0.54 % (8898)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.54 TRYING [1]
% 1.46/0.54 TRYING [2]
% 1.46/0.54 TRYING [3]
% 1.46/0.55 % (8913)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)
% 1.46/0.55 % (8898)Instruction limit reached!
% 1.46/0.55 % (8898)------------------------------
% 1.46/0.55 % (8898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (8916)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.46/0.56 % (8900)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)
% 1.46/0.56 % (8913)First to succeed.
% 1.46/0.56 % (8903)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.46/0.56 % (8894)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)
% 1.46/0.56 % (8911)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)
% 1.46/0.56 % (8893)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)
% 1.46/0.56 % (8908)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.46/0.56 % (8910)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)
% 1.46/0.56 % (8895)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.46/0.56 % (8920)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)
% 1.46/0.56 % (8898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (8898)Termination reason: Unknown
% 1.46/0.56 % (8898)Termination phase: Saturation
% 1.46/0.56
% 1.46/0.56 % (8898)Memory used [KB]: 5500
% 1.46/0.56 % (8898)Time elapsed: 0.131 s
% 1.46/0.56 % (8898)Instructions burned: 7 (million)
% 1.46/0.56 % (8898)------------------------------
% 1.46/0.56 % (8898)------------------------------
% 1.46/0.57 % (8918)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)
% 1.46/0.57 % (8913)Refutation found. Thanks to Tanya!
% 1.46/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.46/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.57 % (8913)------------------------------
% 1.46/0.57 % (8913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57 % (8913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57 % (8913)Termination reason: Refutation
% 1.46/0.57
% 1.46/0.57 % (8913)Memory used [KB]: 895
% 1.46/0.57 % (8913)Time elapsed: 0.148 s
% 1.46/0.57 % (8913)Instructions burned: 5 (million)
% 1.46/0.57 % (8913)------------------------------
% 1.46/0.57 % (8913)------------------------------
% 1.46/0.57 % (8890)Success in time 0.209 s
%------------------------------------------------------------------------------