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 --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Tue Apr 30 14:47:57 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 49 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f437,plain,
$false,
inference(trivial_inequality_removal,[],[f432]) ).
fof(f432,plain,
sK0 != sK0,
inference(superposition,[],[f19,f350]) ).
fof(f350,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f234,f164]) ).
fof(f164,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f148,f27]) ).
fof(f27,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f148,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f33,f23]) ).
fof(f23,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f33,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f29,f27]) ).
fof(f29,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f234,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f214,f49]) ).
fof(f49,plain,
zero = complement(top),
inference(forward_demodulation,[],[f44,f23]) ).
fof(f44,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f27,f22]) ).
fof(f22,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f214,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(backward_demodulation,[],[f188,f209]) ).
fof(f209,plain,
top = join(top,top),
inference(forward_demodulation,[],[f202,f22]) ).
fof(f202,plain,
join(zero,complement(zero)) = join(top,top),
inference(superposition,[],[f196,f24]) ).
fof(f24,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f196,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f195,f49]) ).
fof(f195,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f194,f190]) ).
fof(f190,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f189,f62]) ).
fof(f62,plain,
top = join(zero,top),
inference(superposition,[],[f53,f24]) ).
fof(f53,plain,
top = join(top,zero),
inference(superposition,[],[f22,f49]) ).
fof(f189,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f187,f24]) ).
fof(f187,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(superposition,[],[f107,f175]) ).
fof(f175,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f174,f119]) ).
fof(f119,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f107,f22]) ).
fof(f174,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f153,f24]) ).
fof(f153,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f33,f101]) ).
fof(f101,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f92,f49]) ).
fof(f92,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f54,f22]) ).
fof(f54,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f50,f24]) ).
fof(f50,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f27,f49]) ).
fof(f107,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f31,f53]) ).
fof(f31,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f194,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f193,f24]) ).
fof(f193,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f33,f185]) ).
fof(f185,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f54,f175]) ).
fof(f188,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f31,f175]) ).
fof(f19,plain,
sK0 != join(zero,sK0),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
sK0 != join(zero,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f17,plain,
( ? [X0] : join(zero,X0) != X0
=> sK0 != join(zero,sK0) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0] : join(zero,X0) != X0,
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0] : join(zero,X0) = X0,
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0] : join(zero,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : REL001+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n017.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Mon Apr 29 23:50:33 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (9216)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (9219)WARNING: value z3 for option sas not known
% 0.14/0.39 % (9219)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 theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (9223)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 theBenchmark for (497ds/0Mi)
% 0.14/0.39 % (9221)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 theBenchmark for (531ds/0Mi)
% 0.14/0.39 % (9222)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 theBenchmark for (522ds/0Mi)
% 0.14/0.39 % (9220)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (9217)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (9218)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.41 % (9222)First to succeed.
% 0.14/0.41 TRYING [4]
% 0.21/0.41 % (9219)Also succeeded, but the first one will report.
% 0.21/0.41 % (9222)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (9222)------------------------------
% 0.21/0.41 % (9222)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.41 % (9222)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (9222)Memory used [KB]: 1024
% 0.21/0.41 % (9222)Time elapsed: 0.019 s
% 0.21/0.41 % (9222)Instructions burned: 34 (million)
% 0.21/0.41 % (9222)------------------------------
% 0.21/0.41 % (9222)------------------------------
% 0.21/0.41 % (9216)Success in time 0.034 s
%------------------------------------------------------------------------------