TSTP Solution File: LCL208-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL208-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n029.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 : Thu Aug 31 08:22:30 EDT 2023
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 53 ( 24 unt; 0 def)
% Number of atoms : 88 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 72 ( 37 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 61 (; 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6460,plain,
$false,
inference(subsumption_resolution,[],[f6459,f16]) ).
fof(f16,plain,
~ theorem(sF5),
inference(definition_folding,[],[f9,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
or(p,q) = sF0,
introduced(function_definition,[]) ).
fof(f11,plain,
not(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f12,plain,
not(p) = sF2,
introduced(function_definition,[]) ).
fof(f13,plain,
not(sF2) = sF3,
introduced(function_definition,[]) ).
fof(f14,plain,
or(sF3,q) = sF4,
introduced(function_definition,[]) ).
fof(f15,plain,
or(sF1,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f9,axiom,
~ theorem(or(not(or(p,q)),or(not(not(p)),q))),
file('/export/starexec/sandbox/tmp/tmp.HW7acRWXPF/Vampire---4.8_25632',prove_this) ).
fof(f6459,plain,
theorem(sF5),
inference(forward_demodulation,[],[f6458,f15]) ).
fof(f6458,plain,
theorem(or(sF1,sF4)),
inference(subsumption_resolution,[],[f6455,f30]) ).
fof(f30,plain,
axiom(or(sF1,or(q,p))),
inference(forward_demodulation,[],[f24,f11]) ).
fof(f24,plain,
axiom(or(not(sF0),or(q,p))),
inference(superposition,[],[f3,f10]) ).
fof(f3,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.HW7acRWXPF/Vampire---4.8_25632',axiom_1_4) ).
fof(f6455,plain,
( theorem(or(sF1,sF4))
| ~ axiom(or(sF1,or(q,p))) ),
inference(resolution,[],[f6447,f400]) ).
fof(f400,plain,
! [X3,X4] :
( ~ theorem(or(X4,not(X3)))
| theorem(or(sF1,X4))
| ~ axiom(or(sF1,X3)) ),
inference(resolution,[],[f107,f33]) ).
fof(f33,plain,
! [X3,X4] :
( theorem(or(X3,X4))
| ~ theorem(or(X4,X3)) ),
inference(resolution,[],[f7,f3]) ).
fof(f7,axiom,
! [X3,X4] :
( ~ axiom(or(not(X4),X3))
| theorem(X3)
| ~ theorem(X4) ),
file('/export/starexec/sandbox/tmp/tmp.HW7acRWXPF/Vampire---4.8_25632',rule_2) ).
fof(f107,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| ~ axiom(or(sF1,X1))
| theorem(or(sF1,X0)) ),
inference(superposition,[],[f8,f11]) ).
fof(f8,axiom,
! [X3,X4,X5] :
( theorem(or(not(X3),X5))
| ~ axiom(or(not(X3),X4))
| ~ theorem(or(not(X4),X5)) ),
file('/export/starexec/sandbox/tmp/tmp.HW7acRWXPF/Vampire---4.8_25632',rule_3) ).
fof(f6447,plain,
theorem(or(sF4,not(or(q,p)))),
inference(forward_literal_rewriting,[],[f6446,f33]) ).
fof(f6446,plain,
theorem(or(not(or(q,p)),sF4)),
inference(subsumption_resolution,[],[f6434,f4085]) ).
fof(f4085,plain,
theorem(or(sF2,sF4)),
inference(resolution,[],[f4029,f20]) ).
fof(f20,plain,
! [X2] : axiom(or(sF3,or(X2,sF2))),
inference(superposition,[],[f2,f13]) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.HW7acRWXPF/Vampire---4.8_25632',axiom_1_3) ).
fof(f4029,plain,
! [X0] :
( ~ axiom(or(sF3,or(q,X0)))
| theorem(or(X0,sF4)) ),
inference(resolution,[],[f1567,f196]) ).
fof(f196,plain,
! [X0] :
( ~ theorem(or(sF3,or(X0,q)))
| theorem(or(X0,sF4)) ),
inference(resolution,[],[f84,f7]) ).
fof(f84,plain,
! [X1] : axiom(or(not(or(sF3,or(X1,q))),or(X1,sF4))),
inference(superposition,[],[f4,f14]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/tmp/tmp.HW7acRWXPF/Vampire---4.8_25632',axiom_1_5) ).
fof(f1567,plain,
! [X3,X4] :
( theorem(or(sF3,or(X3,X4)))
| ~ axiom(or(sF3,or(X4,X3))) ),
inference(resolution,[],[f514,f3]) ).
fof(f514,plain,
! [X14,X13] :
( ~ axiom(or(not(X13),X14))
| theorem(or(sF3,X14))
| ~ axiom(or(sF3,X13)) ),
inference(resolution,[],[f109,f6]) ).
fof(f6,axiom,
! [X3] :
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/tmp/tmp.HW7acRWXPF/Vampire---4.8_25632',rule_1) ).
fof(f109,plain,
! [X4,X5] :
( ~ theorem(or(not(X5),X4))
| ~ axiom(or(sF3,X5))
| theorem(or(sF3,X4)) ),
inference(superposition,[],[f8,f13]) ).
fof(f6434,plain,
( theorem(or(not(or(q,p)),sF4))
| ~ theorem(or(sF2,sF4)) ),
inference(resolution,[],[f5228,f569]) ).
fof(f569,plain,
! [X0,X1] :
( theorem(or(X0,or(not(or(X0,p)),X1)))
| ~ theorem(or(sF2,X1)) ),
inference(forward_literal_rewriting,[],[f565,f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f4,f7]) ).
fof(f565,plain,
! [X0,X1] :
( theorem(or(not(or(X0,p)),or(X0,X1)))
| ~ theorem(or(sF2,X1)) ),
inference(resolution,[],[f89,f7]) ).
fof(f89,plain,
! [X2,X3] : axiom(or(not(or(sF2,X2)),or(not(or(X3,p)),or(X3,X2)))),
inference(superposition,[],[f5,f12]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
file('/export/starexec/sandbox/tmp/tmp.HW7acRWXPF/Vampire---4.8_25632',axiom_1_6) ).
fof(f5228,plain,
! [X4] :
( ~ theorem(or(q,or(X4,sF4)))
| theorem(or(X4,sF4)) ),
inference(resolution,[],[f5207,f392]) ).
fof(f392,plain,
! [X4,X5] :
( ~ theorem(or(X5,or(X4,X5)))
| theorem(or(X4,X5)) ),
inference(forward_literal_rewriting,[],[f376,f33]) ).
fof(f376,plain,
! [X4,X5] :
( theorem(or(X4,X5))
| ~ theorem(or(or(X4,X5),X5)) ),
inference(resolution,[],[f233,f31]) ).
fof(f31,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f7,f2]) ).
fof(f233,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(or(X0,X1),X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f79,f32]) ).
fof(f32,plain,
! [X2] :
( ~ theorem(or(X2,X2))
| theorem(X2) ),
inference(resolution,[],[f7,f1]) ).
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox/tmp/tmp.HW7acRWXPF/Vampire---4.8_25632',axiom_1_2) ).
fof(f5207,plain,
! [X5] :
( theorem(or(sF4,X5))
| ~ theorem(or(q,X5)) ),
inference(resolution,[],[f4501,f31]) ).
fof(f4501,plain,
! [X0] :
( ~ theorem(or(X0,or(q,X0)))
| theorem(or(sF4,X0)) ),
inference(resolution,[],[f832,f79]) ).
fof(f832,plain,
! [X13] :
( ~ theorem(or(q,or(X13,X13)))
| theorem(or(sF4,X13)) ),
inference(forward_literal_rewriting,[],[f827,f33]) ).
fof(f827,plain,
! [X13] :
( theorem(or(sF4,X13))
| ~ theorem(or(or(X13,X13),q)) ),
inference(resolution,[],[f709,f206]) ).
fof(f206,plain,
! [X2] :
( theorem(or(X2,sF4))
| ~ theorem(or(X2,q)) ),
inference(resolution,[],[f196,f31]) ).
fof(f709,plain,
! [X4,X5] :
( ~ theorem(or(or(X5,X5),X4))
| theorem(or(X4,X5)) ),
inference(resolution,[],[f625,f33]) ).
fof(f625,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f392,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL208-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 17:50:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.HW7acRWXPF/Vampire---4.8_25632
% 0.15/0.36 % (25846)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (25850)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.42 % (25857)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.21/0.42 % (25854)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42 % (25849)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.42 % (25855)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42 % (25856)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.42 % (25851)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.55 % (25855)First to succeed.
% 0.21/0.55 % (25855)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.55 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.55 % (25855)------------------------------
% 0.21/0.55 % (25855)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.55 % (25855)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.55 % (25855)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (25855)Memory used [KB]: 8571
% 0.21/0.55 % (25855)Time elapsed: 0.130 s
% 0.21/0.55 % (25855)------------------------------
% 0.21/0.55 % (25855)------------------------------
% 0.21/0.55 % (25846)Success in time 0.185 s
% 0.21/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------