TSTP Solution File: SET005-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET005-1 : 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 : 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 18:23:01 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 10 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 85 ( 42 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,plain,
$false,
inference(subsumption_resolution,[],[f70,f35]) ).
fof(f35,plain,
member(h(aIb,c,aIbIc),a),
inference(subsumption_resolution,[],[f34,f21]) ).
fof(f21,plain,
! [X0] :
( ~ member(X0,aIb)
| member(X0,a) ),
inference(resolution,[],[f7,f13]) ).
fof(f13,axiom,
intersection(a,b,aIb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_intersection_b) ).
fof(f7,axiom,
! [X3,X0,X4,X5] :
( ~ intersection(X3,X4,X5)
| ~ member(X0,X5)
| member(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).
fof(f34,plain,
( member(h(aIb,c,aIbIc),a)
| member(h(aIb,c,aIbIc),aIb) ),
inference(resolution,[],[f30,f22]) ).
fof(f22,plain,
! [X1] :
( ~ member(X1,aIbIc)
| member(X1,a) ),
inference(resolution,[],[f7,f15]) ).
fof(f15,axiom,
intersection(a,bIc,aIbIc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_intersection_bIc) ).
fof(f30,plain,
( member(h(aIb,c,aIbIc),aIbIc)
| member(h(aIb,c,aIbIc),aIb) ),
inference(resolution,[],[f10,f16]) ).
fof(f16,axiom,
~ intersection(aIb,c,aIbIc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aIb_intersection_c_is_aIbIc) ).
fof(f10,axiom,
! [X3,X4,X5] :
( intersection(X3,X4,X5)
| member(h(X3,X4,X5),X5)
| member(h(X3,X4,X5),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_axiom1) ).
fof(f70,plain,
~ member(h(aIb,c,aIbIc),a),
inference(subsumption_resolution,[],[f69,f38]) ).
fof(f38,plain,
member(h(aIb,c,aIbIc),b),
inference(subsumption_resolution,[],[f37,f24]) ).
fof(f24,plain,
! [X0] :
( ~ member(X0,aIb)
| member(X0,b) ),
inference(resolution,[],[f8,f13]) ).
fof(f8,axiom,
! [X3,X0,X4,X5] :
( ~ intersection(X3,X4,X5)
| ~ member(X0,X5)
| member(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).
fof(f37,plain,
( member(h(aIb,c,aIbIc),b)
| member(h(aIb,c,aIbIc),aIb) ),
inference(resolution,[],[f36,f23]) ).
fof(f23,plain,
! [X2] :
( ~ member(X2,bIc)
| member(X2,b) ),
inference(resolution,[],[f7,f14]) ).
fof(f14,axiom,
intersection(b,c,bIc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_intersection_c) ).
fof(f36,plain,
( member(h(aIb,c,aIbIc),bIc)
| member(h(aIb,c,aIbIc),aIb) ),
inference(resolution,[],[f25,f30]) ).
fof(f25,plain,
! [X1] :
( ~ member(X1,aIbIc)
| member(X1,bIc) ),
inference(resolution,[],[f8,f15]) ).
fof(f69,plain,
( ~ member(h(aIb,c,aIbIc),b)
| ~ member(h(aIb,c,aIbIc),a) ),
inference(resolution,[],[f68,f27]) ).
fof(f27,plain,
! [X0] :
( member(X0,aIb)
| ~ member(X0,b)
| ~ member(X0,a) ),
inference(resolution,[],[f9,f13]) ).
fof(f9,axiom,
! [X3,X0,X4,X5] :
( ~ intersection(X3,X4,X5)
| ~ member(X0,X4)
| ~ member(X0,X3)
| member(X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).
fof(f68,plain,
~ member(h(aIb,c,aIbIc),aIb),
inference(subsumption_resolution,[],[f67,f38]) ).
fof(f67,plain,
( ~ member(h(aIb,c,aIbIc),b)
| ~ member(h(aIb,c,aIbIc),aIb) ),
inference(subsumption_resolution,[],[f66,f48]) ).
fof(f48,plain,
member(h(aIb,c,aIbIc),c),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f46,plain,
( member(h(aIb,c,aIbIc),c)
| member(h(aIb,c,aIbIc),c) ),
inference(resolution,[],[f26,f43]) ).
fof(f43,plain,
( member(h(aIb,c,aIbIc),bIc)
| member(h(aIb,c,aIbIc),c) ),
inference(resolution,[],[f39,f25]) ).
fof(f39,plain,
( member(h(aIb,c,aIbIc),aIbIc)
| member(h(aIb,c,aIbIc),c) ),
inference(resolution,[],[f11,f16]) ).
fof(f11,axiom,
! [X3,X4,X5] :
( intersection(X3,X4,X5)
| member(h(X3,X4,X5),X4)
| member(h(X3,X4,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_axiom2) ).
fof(f26,plain,
! [X2] :
( ~ member(X2,bIc)
| member(X2,c) ),
inference(resolution,[],[f8,f14]) ).
fof(f66,plain,
( ~ member(h(aIb,c,aIbIc),aIb)
| ~ member(h(aIb,c,aIbIc),c)
| ~ member(h(aIb,c,aIbIc),b) ),
inference(resolution,[],[f29,f61]) ).
fof(f61,plain,
( ~ member(h(aIb,c,aIbIc),bIc)
| ~ member(h(aIb,c,aIbIc),aIb) ),
inference(subsumption_resolution,[],[f60,f35]) ).
fof(f60,plain,
( ~ member(h(aIb,c,aIbIc),bIc)
| ~ member(h(aIb,c,aIbIc),a)
| ~ member(h(aIb,c,aIbIc),aIb) ),
inference(resolution,[],[f28,f53]) ).
fof(f53,plain,
( ~ member(h(aIb,c,aIbIc),aIbIc)
| ~ member(h(aIb,c,aIbIc),aIb) ),
inference(subsumption_resolution,[],[f49,f48]) ).
fof(f49,plain,
( ~ member(h(aIb,c,aIbIc),aIb)
| ~ member(h(aIb,c,aIbIc),c)
| ~ member(h(aIb,c,aIbIc),aIbIc) ),
inference(resolution,[],[f12,f16]) ).
fof(f12,axiom,
! [X3,X4,X5] :
( intersection(X3,X4,X5)
| ~ member(h(X3,X4,X5),X4)
| ~ member(h(X3,X4,X5),X5)
| ~ member(h(X3,X4,X5),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_axiom3) ).
fof(f28,plain,
! [X1] :
( member(X1,aIbIc)
| ~ member(X1,bIc)
| ~ member(X1,a) ),
inference(resolution,[],[f9,f15]) ).
fof(f29,plain,
! [X2] :
( member(X2,bIc)
| ~ member(X2,b)
| ~ member(X2,c) ),
inference(resolution,[],[f9,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % 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 : n020.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 12:52:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (17527)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)
% 0.20/0.50 % (17544)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)
% 0.20/0.50 % (17548)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)
% 0.20/0.51 % (17523)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)
% 0.20/0.51 % (17536)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (17526)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)
% 0.20/0.52 % (17522)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)
% 0.20/0.52 % (17522)Refutation not found, incomplete strategy% (17522)------------------------------
% 0.20/0.52 % (17522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17522)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (17522)Memory used [KB]: 5373
% 0.20/0.52 % (17522)Time elapsed: 0.104 s
% 0.20/0.52 % (17522)------------------------------
% 0.20/0.52 % (17522)------------------------------
% 0.20/0.52 % (17544)First to succeed.
% 0.20/0.52 % (17544)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (17544)------------------------------
% 0.20/0.52 % (17544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17544)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (17544)Memory used [KB]: 895
% 0.20/0.52 % (17544)Time elapsed: 0.107 s
% 0.20/0.52 % (17544)Instructions burned: 3 (million)
% 0.20/0.52 % (17544)------------------------------
% 0.20/0.52 % (17544)------------------------------
% 0.20/0.52 % (17518)Success in time 0.164 s
%------------------------------------------------------------------------------