TSTP Solution File: LCL099-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL099-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n021.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 08:21:48 EDT 2023
% Result : Unsatisfiable 12.71s 2.18s
% Output : Refutation 12.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 18 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 27 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 133 (; 133 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55814,plain,
$false,
inference(subsumption_resolution,[],[f5883,f13990]) ).
fof(f13990,plain,
! [X28,X26,X27,X25] : is_a_theorem(equivalent(X25,equivalent(X26,equivalent(equivalent(equivalent(equivalent(X27,X28),X26),equivalent(X28,X27)),X25)))),
inference(resolution,[],[f1162,f934]) ).
fof(f934,plain,
! [X88,X86,X87,X84,X85] : is_a_theorem(equivalent(equivalent(equivalent(X84,X85),X86),equivalent(equivalent(equivalent(equivalent(X84,X87),X88),equivalent(X87,X85)),equivalent(X88,X86)))),
inference(resolution,[],[f112,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2)))),
inference(resolution,[],[f8,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ys8eXEvdIz/Vampire---4.8_6870',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
file('/export/starexec/sandbox/tmp/tmp.ys8eXEvdIz/Vampire---4.8_6870',lg_2) ).
fof(f8,plain,
! [X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X2,X3),X4),equivalent(equivalent(X5,X3),equivalent(equivalent(X2,X5),X4)))),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
file('/export/starexec/sandbox/tmp/tmp.ys8eXEvdIz/Vampire---4.8_6870',lg_3) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f3,f1]) ).
fof(f112,plain,
! [X3,X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X5,X3),X6)),X7))
| is_a_theorem(equivalent(equivalent(equivalent(X5,X4),X6),X7)) ),
inference(resolution,[],[f39,f6]) ).
fof(f39,plain,
! [X16,X14,X17,X15,X13] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X17)))
| ~ is_a_theorem(equivalent(X16,X17)) ),
inference(resolution,[],[f13,f1]) ).
fof(f13,plain,
! [X8,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(X4,X5),equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X4),equivalent(equivalent(X7,X8),X5)))),
inference(resolution,[],[f8,f6]) ).
fof(f1162,plain,
! [X59,X62,X63,X60,X61,X64] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X61,X62),equivalent(equivalent(X63,equivalent(X64,X61)),X59)),equivalent(equivalent(X63,equivalent(X64,X62)),X60)))
| is_a_theorem(equivalent(X59,X60)) ),
inference(resolution,[],[f154,f62]) ).
fof(f62,plain,
! [X16,X14,X15,X13] :
( ~ is_a_theorem(equivalent(equivalent(X14,X16),X13))
| is_a_theorem(equivalent(X16,X15))
| ~ is_a_theorem(equivalent(X13,equivalent(X14,X15))) ),
inference(resolution,[],[f25,f1]) ).
fof(f25,plain,
! [X10,X11,X9,X12] :
( is_a_theorem(equivalent(equivalent(equivalent(X9,X10),X11),equivalent(X10,X12)))
| ~ is_a_theorem(equivalent(X11,equivalent(X9,X12))) ),
inference(resolution,[],[f12,f1]) ).
fof(f154,plain,
! [X8,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X4,equivalent(X5,X6)),X7),equivalent(equivalent(X8,X6),equivalent(equivalent(X4,equivalent(X5,X8)),X7)))),
inference(resolution,[],[f38,f6]) ).
fof(f38,plain,
! [X10,X11,X8,X6,X9,X7,X12] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12)),equivalent(equivalent(X7,X8),equivalent(equivalent(X10,X11),X12)))),
inference(resolution,[],[f13,f6]) ).
fof(f5883,plain,
~ is_a_theorem(equivalent(falsehood,equivalent(e,equivalent(equivalent(equivalent(equivalent(a,b),e),equivalent(b,a)),falsehood)))),
inference(resolution,[],[f2236,f25]) ).
fof(f2236,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(e,a),falsehood),equivalent(a,equivalent(equivalent(equivalent(equivalent(a,b),e),equivalent(b,a)),falsehood)))),
inference(resolution,[],[f839,f398]) ).
fof(f398,plain,
! [X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),c),X3),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(e,a),falsehood),equivalent(a,X3))) ),
inference(resolution,[],[f110,f68]) ).
fof(f68,plain,
! [X0] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),X0),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(e,a),falsehood),X0)) ),
inference(resolution,[],[f32,f4]) ).
fof(f4,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood))),
file('/export/starexec/sandbox/tmp/tmp.ys8eXEvdIz/Vampire---4.8_6870',prove_lg_5) ).
fof(f32,plain,
! [X11,X14,X12,X13] :
( is_a_theorem(equivalent(equivalent(X11,X14),X13))
| ~ is_a_theorem(equivalent(equivalent(X11,X12),X13))
| ~ is_a_theorem(equivalent(X14,X12)) ),
inference(resolution,[],[f14,f1]) ).
fof(f14,plain,
! [X10,X11,X9,X12] :
( is_a_theorem(equivalent(equivalent(X9,X10),equivalent(equivalent(X11,X9),X12)))
| ~ is_a_theorem(equivalent(equivalent(X11,X10),X12)) ),
inference(resolution,[],[f8,f1]) ).
fof(f110,plain,
! [X18,X19,X16,X17] :
( is_a_theorem(equivalent(equivalent(equivalent(X19,X16),equivalent(X19,X17)),X18))
| ~ is_a_theorem(equivalent(equivalent(X16,X17),X18)) ),
inference(forward_literal_rewriting,[],[f107,f57]) ).
fof(f57,plain,
! [X14,X15,X13] :
( is_a_theorem(equivalent(equivalent(X13,X14),equivalent(X13,X15)))
| ~ is_a_theorem(equivalent(X14,X15)) ),
inference(resolution,[],[f48,f1]) ).
fof(f48,plain,
! [X24,X25,X23] : is_a_theorem(equivalent(equivalent(X23,X24),equivalent(equivalent(X25,X23),equivalent(X25,X24)))),
inference(resolution,[],[f18,f7]) ).
fof(f7,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[],[f6,f2]) ).
fof(f18,plain,
! [X8,X6,X9,X7] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X9,X6),equivalent(X9,X7)),X8))
| is_a_theorem(equivalent(equivalent(X6,X7),X8)) ),
inference(resolution,[],[f10,f1]) ).
fof(f10,plain,
! [X3,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6))),
inference(resolution,[],[f7,f6]) ).
fof(f107,plain,
! [X18,X19,X16,X17,X15] :
( ~ is_a_theorem(equivalent(equivalent(X15,equivalent(X16,X17)),equivalent(X15,X18)))
| is_a_theorem(equivalent(equivalent(equivalent(X19,X16),equivalent(X19,X17)),X18)) ),
inference(resolution,[],[f30,f15]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f9,f1]) ).
fof(f9,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
inference(resolution,[],[f7,f5]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X4,X1),equivalent(X4,X2))),X3))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3)) ),
inference(resolution,[],[f14,f5]) ).
fof(f839,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),equivalent(equivalent(X2,X1),X3))),
inference(resolution,[],[f106,f2]) ).
fof(f106,plain,
! [X10,X11,X14,X12,X13] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X10,X11),X12),equivalent(X11,X13)),X14))
| is_a_theorem(equivalent(equivalent(X12,equivalent(X10,X13)),X14)) ),
inference(resolution,[],[f30,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL099-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n021.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 18:31:40 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ys8eXEvdIz/Vampire---4.8_6870
% 0.15/0.37 % (7118)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.41 % (7121)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)
% 0.23/0.43 % (7125)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)
% 0.23/0.43 % (7127)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)
% 0.23/0.43 % (7126)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)
% 0.23/0.43 % (7122)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)
% 0.23/0.43 % (7120)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)
% 0.23/0.43 % (7124)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)
% 12.71/2.18 % (7121)First to succeed.
% 12.71/2.18 % (7121)Refutation found. Thanks to Tanya!
% 12.71/2.18 % SZS status Unsatisfiable for Vampire---4
% 12.71/2.18 % SZS output start Proof for Vampire---4
% See solution above
% 12.71/2.18 % (7121)------------------------------
% 12.71/2.18 % (7121)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 12.71/2.18 % (7121)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 12.71/2.18 % (7121)Termination reason: Refutation
% 12.71/2.18
% 12.71/2.18 % (7121)Memory used [KB]: 41321
% 12.71/2.18 % (7121)Time elapsed: 1.783 s
% 12.71/2.18 % (7121)------------------------------
% 12.71/2.18 % (7121)------------------------------
% 12.71/2.18 % (7118)Success in time 1.763 s
% 12.71/2.18 % Vampire---4.8 exiting
%------------------------------------------------------------------------------