TSTP Solution File: REL001-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL001-1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n006.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 : Fri Sep 1 21:56:32 EDT 2023
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 38 (; 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1214,plain,
$false,
inference(trivial_inequality_removal,[],[f1204]) ).
fof(f1204,plain,
sk1 != sk1,
inference(superposition,[],[f14,f1086]) ).
fof(f1086,plain,
! [X3] : join(zero,X3) = X3,
inference(superposition,[],[f615,f491]) ).
fof(f491,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f469,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.q5WtfxVEXu/Vampire---4.8_22936',maddux4_definiton_of_meet_4) ).
fof(f469,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f15,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/tmp/tmp.q5WtfxVEXu/Vampire---4.8_22936',def_zero_13) ).
fof(f15,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f3,f4]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/tmp/tmp.q5WtfxVEXu/Vampire---4.8_22936',maddux3_a_kind_of_de_Morgan_3) ).
fof(f615,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f587,f23]) ).
fof(f23,plain,
zero = complement(top),
inference(forward_demodulation,[],[f18,f13]) ).
fof(f18,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f4,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/tmp/tmp.q5WtfxVEXu/Vampire---4.8_22936',def_top_12) ).
fof(f587,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(backward_demodulation,[],[f556,f581]) ).
fof(f581,plain,
top = join(top,top),
inference(forward_demodulation,[],[f580,f446]) ).
fof(f446,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f406,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/tmp/tmp.q5WtfxVEXu/Vampire---4.8_22936',converse_idempotence_8) ).
fof(f406,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f389,f12]) ).
fof(f389,plain,
! [X11,X12] : join(X11,X12) = converse(converse(join(X12,X11))),
inference(forward_demodulation,[],[f388,f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/tmp/tmp.q5WtfxVEXu/Vampire---4.8_22936',converse_additivity_9) ).
fof(f388,plain,
! [X11,X12] : join(X11,X12) = converse(join(converse(X12),converse(X11))),
inference(forward_demodulation,[],[f344,f8]) ).
fof(f344,plain,
! [X11,X12] : converse(join(converse(X12),converse(X11))) = converse(converse(join(X11,X12))),
inference(superposition,[],[f304,f9]) ).
fof(f304,plain,
! [X2,X3] : converse(join(X2,X3)) = converse(join(X3,X2)),
inference(superposition,[],[f35,f9]) ).
fof(f35,plain,
! [X2,X3] : join(converse(X3),converse(X2)) = converse(join(X2,X3)),
inference(superposition,[],[f9,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.q5WtfxVEXu/Vampire---4.8_22936',maddux1_join_commutativity_1) ).
fof(f580,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f579,f23]) ).
fof(f579,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f578,f558]) ).
fof(f558,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f557,f29]) ).
fof(f29,plain,
top = join(zero,top),
inference(superposition,[],[f27,f1]) ).
fof(f27,plain,
top = join(top,zero),
inference(superposition,[],[f12,f23]) ).
fof(f557,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f554,f1]) ).
fof(f554,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(superposition,[],[f175,f504]) ).
fof(f504,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f503,f194]) ).
fof(f194,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f175,f12]) ).
fof(f503,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f476,f1]) ).
fof(f476,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f15,f67]) ).
fof(f67,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f58,f23]) ).
fof(f58,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f28,f12]) ).
fof(f28,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f24,f1]) ).
fof(f24,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f23]) ).
fof(f175,plain,
! [X21] : join(top,join(zero,X21)) = join(top,X21),
inference(superposition,[],[f2,f27]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.q5WtfxVEXu/Vampire---4.8_22936',maddux2_join_associativity_2) ).
fof(f578,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f575,f1]) ).
fof(f575,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f15,f552]) ).
fof(f552,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f28,f504]) ).
fof(f556,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f2,f504]) ).
fof(f14,axiom,
sk1 != join(zero,sk1),
file('/export/starexec/sandbox/tmp/tmp.q5WtfxVEXu/Vampire---4.8_22936',goals_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL001-1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 30 15:16:20 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.40 % (23043)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40 % (23049)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.19/0.40 % (23044)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.40 % (23045)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.40 % (23046)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.19/0.40 % (23047)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.40 % (23048)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.19/0.40 % (23050)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.19/0.41 TRYING [1]
% 0.19/0.41 TRYING [2]
% 0.19/0.41 TRYING [1]
% 0.19/0.41 TRYING [3]
% 0.19/0.41 TRYING [2]
% 0.19/0.42 TRYING [3]
% 0.19/0.43 TRYING [4]
% 0.19/0.43 % (23049)First to succeed.
% 0.19/0.43 % (23049)Refutation found. Thanks to Tanya!
% 0.19/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.19/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.43 % (23049)------------------------------
% 0.19/0.43 % (23049)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.43 % (23049)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.43 % (23049)Termination reason: Refutation
% 0.19/0.43
% 0.19/0.43 % (23049)Memory used [KB]: 2046
% 0.19/0.43 % (23049)Time elapsed: 0.027 s
% 0.19/0.43 % (23049)------------------------------
% 0.19/0.43 % (23049)------------------------------
% 0.19/0.43 % (23043)Success in time 0.085 s
% 0.19/0.43 23046 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.q5WtfxVEXu/Vampire---4.8_22936
% 0.19/0.43 % (23046)------------------------------
% 0.19/0.43 % (23046)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.43 % (23046)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.43 % (23046)Termination reason: Unknown
% 0.19/0.43 % (23046)Termination phase: Saturation
% 0.19/0.43
% 0.19/0.43 % (23046)Memory used [KB]: 5245
% 0.19/0.43 % (23046)Time elapsed: 0.029 s
% 0.19/0.43 % (23046)------------------------------
% 0.19/0.43 % (23046)------------------------------
% 0.19/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------