TSTP Solution File: LCL208-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL208-3 : TPTP v8.1.2. Released v2.3.0.
% 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 : 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 : Thu Aug 31 08:22:30 EDT 2023
% Result : Unsatisfiable 0.21s 0.74s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 72 ( 56 unt; 0 def)
% Number of atoms : 89 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 92 (; 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20188,plain,
$false,
inference(subsumption_resolution,[],[f19984,f14]) ).
fof(f14,plain,
~ theorem(sF3),
inference(definition_folding,[],[f9,f13,f12,f11,f10]) ).
fof(f10,plain,
or(p,q) = sF0,
introduced(function_definition,[]) ).
fof(f11,plain,
not(p) = sF1,
introduced(function_definition,[]) ).
fof(f12,plain,
implies(sF1,q) = sF2,
introduced(function_definition,[]) ).
fof(f13,plain,
implies(sF0,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f9,axiom,
~ theorem(implies(or(p,q),implies(not(p),q))),
file('/export/starexec/sandbox/tmp/tmp.TNdU1JU5BU/Vampire---4.8_13452',prove_this) ).
fof(f19984,plain,
theorem(sF3),
inference(resolution,[],[f18206,f15]) ).
fof(f15,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[],[f1,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/tmp/tmp.TNdU1JU5BU/Vampire---4.8_13452',rule_1) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/tmp/tmp.TNdU1JU5BU/Vampire---4.8_13452',axiom_1_2) ).
fof(f18206,plain,
! [X0] :
( ~ theorem(implies(or(sF3,sF3),X0))
| theorem(X0) ),
inference(resolution,[],[f18015,f8]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.TNdU1JU5BU/Vampire---4.8_13452',rule_2) ).
fof(f18015,plain,
theorem(or(sF3,sF3)),
inference(resolution,[],[f17373,f4687]) ).
fof(f4687,plain,
! [X2] : theorem(implies(or(X2,p),or(X2,sF3))),
inference(resolution,[],[f4200,f647]) ).
fof(f647,plain,
! [X2,X3] : theorem(implies(or(sF1,X2),implies(or(X3,p),or(X3,X2)))),
inference(superposition,[],[f124,f25]) ).
fof(f25,plain,
! [X0] : implies(p,X0) = or(sF1,X0),
inference(superposition,[],[f6,f11]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/tmp/tmp.TNdU1JU5BU/Vampire---4.8_13452',implies_definition) ).
fof(f124,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[],[f5,f7]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/tmp/tmp.TNdU1JU5BU/Vampire---4.8_13452',axiom_1_6) ).
fof(f4200,plain,
! [X0] :
( ~ theorem(implies(or(sF1,sF3),X0))
| theorem(X0) ),
inference(resolution,[],[f4115,f8]) ).
fof(f4115,plain,
theorem(or(sF1,sF3)),
inference(resolution,[],[f4113,f640]) ).
fof(f640,plain,
! [X4] : theorem(implies(or(X4,sF2),or(X4,sF3))),
inference(resolution,[],[f124,f58]) ).
fof(f58,plain,
! [X12] :
( ~ theorem(implies(implies(sF2,sF3),X12))
| theorem(X12) ),
inference(resolution,[],[f8,f36]) ).
fof(f36,plain,
theorem(implies(sF2,sF3)),
inference(resolution,[],[f34,f7]) ).
fof(f34,plain,
axiom(implies(sF2,sF3)),
inference(superposition,[],[f31,f13]) ).
fof(f31,plain,
! [X8,X9] : axiom(implies(X9,implies(X8,X9))),
inference(superposition,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.TNdU1JU5BU/Vampire---4.8_13452',axiom_1_3) ).
fof(f4113,plain,
! [X0] :
( ~ theorem(implies(or(sF1,sF2),X0))
| theorem(X0) ),
inference(resolution,[],[f4107,f8]) ).
fof(f4107,plain,
theorem(or(sF1,sF2)),
inference(resolution,[],[f3851,f1225]) ).
fof(f1225,plain,
! [X0,X1] :
( ~ theorem(implies(or(X1,not(X1)),X0))
| theorem(X0) ),
inference(resolution,[],[f1185,f8]) ).
fof(f1185,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f1174,f63]) ).
fof(f63,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(superposition,[],[f20,f6]) ).
fof(f20,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[],[f3,f7]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.TNdU1JU5BU/Vampire---4.8_13452',axiom_1_4) ).
fof(f1174,plain,
! [X8,X9] :
( ~ theorem(implies(implies(X9,X9),X8))
| theorem(X8) ),
inference(resolution,[],[f1137,f8]) ).
fof(f1137,plain,
! [X0] : theorem(implies(X0,X0)),
inference(resolution,[],[f1135,f54]) ).
fof(f54,plain,
! [X8] :
( ~ theorem(implies(implies(or(q,p),sF0),X8))
| theorem(X8) ),
inference(resolution,[],[f8,f24]) ).
fof(f24,plain,
theorem(implies(or(q,p),sF0)),
inference(resolution,[],[f22,f7]) ).
fof(f22,plain,
axiom(implies(or(q,p),sF0)),
inference(superposition,[],[f3,f10]) ).
fof(f1135,plain,
! [X0,X1] : theorem(implies(X0,implies(X1,X1))),
inference(superposition,[],[f1118,f6]) ).
fof(f1118,plain,
! [X0,X1] : theorem(or(X0,implies(X1,X1))),
inference(resolution,[],[f341,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ theorem(implies(implies(X1,or(X2,X1)),X0))
| theorem(X0) ),
inference(resolution,[],[f8,f16]) ).
fof(f16,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[],[f2,f7]) ).
fof(f341,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f336,f6]) ).
fof(f336,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[],[f66,f6]) ).
fof(f66,plain,
! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[],[f4,f7]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/tmp/tmp.TNdU1JU5BU/Vampire---4.8_13452',axiom_1_5) ).
fof(f3851,plain,
! [X1] : theorem(implies(or(X1,not(sF1)),or(X1,sF2))),
inference(resolution,[],[f3088,f124]) ).
fof(f3088,plain,
! [X0] :
( ~ theorem(implies(implies(not(sF1),sF2),X0))
| theorem(X0) ),
inference(resolution,[],[f3083,f8]) ).
fof(f3083,plain,
theorem(implies(not(sF1),sF2)),
inference(superposition,[],[f3068,f12]) ).
fof(f3068,plain,
! [X0,X1] : theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[],[f3028,f6]) ).
fof(f3028,plain,
! [X4,X5] : theorem(implies(X4,or(X4,X5))),
inference(resolution,[],[f1383,f51]) ).
fof(f1383,plain,
! [X14,X12,X13] : theorem(implies(implies(X12,or(X13,X14)),implies(X12,or(X14,X13)))),
inference(resolution,[],[f652,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ theorem(implies(implies(or(X1,X2),or(X2,X1)),X0))
| theorem(X0) ),
inference(resolution,[],[f20,f8]) ).
fof(f652,plain,
! [X2,X3,X1] : theorem(implies(implies(X2,X3),implies(implies(X1,X2),implies(X1,X3)))),
inference(forward_demodulation,[],[f649,f6]) ).
fof(f649,plain,
! [X2,X3,X1] : theorem(implies(implies(X2,X3),implies(implies(X1,X2),or(not(X1),X3)))),
inference(superposition,[],[f124,f6]) ).
fof(f17373,plain,
! [X0] :
( ~ theorem(implies(or(sF3,p),X0))
| theorem(X0) ),
inference(resolution,[],[f17189,f8]) ).
fof(f17189,plain,
theorem(or(sF3,p)),
inference(resolution,[],[f16907,f20]) ).
fof(f16907,plain,
! [X0] :
( ~ theorem(implies(or(p,sF3),X0))
| theorem(X0) ),
inference(resolution,[],[f16720,f8]) ).
fof(f16720,plain,
theorem(or(p,sF3)),
inference(resolution,[],[f485,f528]) ).
fof(f528,plain,
! [X0] : theorem(implies(implies(sF0,or(X0,sF2)),or(X0,sF3))),
inference(resolution,[],[f510,f7]) ).
fof(f510,plain,
! [X1] : axiom(implies(implies(sF0,or(X1,sF2)),or(X1,sF3))),
inference(superposition,[],[f74,f13]) ).
fof(f74,plain,
! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f69,f6]) ).
fof(f69,plain,
! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[],[f4,f6]) ).
fof(f485,plain,
! [X0] :
( ~ theorem(implies(implies(sF0,or(p,sF2)),X0))
| theorem(X0) ),
inference(resolution,[],[f481,f8]) ).
fof(f481,plain,
theorem(implies(sF0,or(p,sF2))),
inference(resolution,[],[f251,f56]) ).
fof(f56,plain,
! [X10] :
( ~ theorem(implies(implies(q,sF2),X10))
| theorem(X10) ),
inference(resolution,[],[f8,f35]) ).
fof(f35,plain,
theorem(implies(q,sF2)),
inference(resolution,[],[f33,f7]) ).
fof(f33,plain,
axiom(implies(q,sF2)),
inference(superposition,[],[f31,f12]) ).
fof(f251,plain,
! [X0] : theorem(implies(implies(q,X0),implies(sF0,or(p,X0)))),
inference(resolution,[],[f128,f7]) ).
fof(f128,plain,
! [X0] : axiom(implies(implies(q,X0),implies(sF0,or(p,X0)))),
inference(superposition,[],[f5,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL208-3 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 18:02:46 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.TNdU1JU5BU/Vampire---4.8_13452
% 0.14/0.36 % (13595)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (13600)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.42 % (13597)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.42 % (13599)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.43 % (13596)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.45 % (13602)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.48 % (13598)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.49 % (13601)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.74 % (13602)First to succeed.
% 0.21/0.74 % (13602)Refutation found. Thanks to Tanya!
% 0.21/0.74 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.74 % (13602)------------------------------
% 0.21/0.74 % (13602)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.74 % (13602)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.74 % (13602)Termination reason: Refutation
% 0.21/0.74
% 0.21/0.74 % (13602)Memory used [KB]: 9338
% 0.21/0.74 % (13602)Time elapsed: 0.275 s
% 0.21/0.74 % (13602)------------------------------
% 0.21/0.74 % (13602)------------------------------
% 0.21/0.74 % (13595)Success in time 0.376 s
% 0.21/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------