TSTP Solution File: REL009-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL009-1 : 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 : n016.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 : Sun May 5 08:52:54 EDT 2024
% Result : Unsatisfiable 67.90s 10.02s
% Output : Refutation 67.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 23 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 9 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 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 : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f410922,plain,
$false,
inference(trivial_inequality_removal,[],[f410921]) ).
fof(f410921,plain,
composition(sk2,sk3) != composition(sk2,sk3),
inference(forward_demodulation,[],[f410917,f17]) ).
fof(f17,plain,
sk2 = join(sk2,sk1),
inference(superposition,[],[f1,f14]) ).
fof(f14,axiom,
sk2 = join(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f410917,plain,
composition(sk2,sk3) != composition(join(sk2,sk1),sk3),
inference(superposition,[],[f408272,f886]) ).
fof(f886,plain,
! [X2,X0,X1] : composition(join(X0,X2),X1) = join(composition(X2,X1),composition(X0,X1)),
inference(superposition,[],[f7,f1]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f408272,plain,
composition(sk2,sk3) != join(composition(sk1,sk3),composition(sk2,sk3)),
inference(trivial_inequality_removal,[],[f408271]) ).
fof(f408271,plain,
( composition(sk3,sk2) != composition(sk3,sk2)
| composition(sk2,sk3) != join(composition(sk1,sk3),composition(sk2,sk3)) ),
inference(forward_demodulation,[],[f408269,f14]) ).
fof(f408269,plain,
( composition(sk3,sk2) != composition(sk3,join(sk1,sk2))
| composition(sk2,sk3) != join(composition(sk1,sk3),composition(sk2,sk3)) ),
inference(backward_demodulation,[],[f15,f408268]) ).
fof(f408268,plain,
! [X2,X0,X1] : join(composition(X1,X0),composition(X1,X2)) = composition(X1,join(X0,X2)),
inference(forward_demodulation,[],[f408267,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f408267,plain,
! [X2,X0,X1] : composition(X1,join(X0,X2)) = join(composition(converse(converse(X1)),X0),composition(X1,X2)),
inference(forward_demodulation,[],[f408266,f8]) ).
fof(f408266,plain,
! [X2,X0,X1] : composition(X1,join(X0,X2)) = join(composition(converse(converse(X1)),X0),converse(converse(composition(X1,X2)))),
inference(forward_demodulation,[],[f408265,f8]) ).
fof(f408265,plain,
! [X2,X0,X1] : join(composition(converse(converse(X1)),X0),converse(converse(composition(X1,X2)))) = composition(X1,join(X0,converse(converse(X2)))),
inference(forward_demodulation,[],[f408264,f34]) ).
fof(f34,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f408264,plain,
! [X2,X0,X1] : join(composition(converse(converse(X1)),X0),converse(converse(composition(X1,X2)))) = composition(X1,converse(join(converse(X0),converse(X2)))),
inference(forward_demodulation,[],[f407946,f71]) ).
fof(f71,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f10,f8]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f407946,plain,
! [X2,X0,X1] : join(composition(converse(converse(X1)),X0),converse(converse(composition(X1,X2)))) = converse(composition(join(converse(X0),converse(X2)),converse(X1))),
inference(superposition,[],[f3713,f884]) ).
fof(f884,plain,
! [X2,X0,X1] : composition(join(X2,converse(X0)),converse(X1)) = join(composition(X2,converse(X1)),converse(composition(X1,X0))),
inference(superposition,[],[f7,f10]) ).
fof(f3713,plain,
! [X2,X0,X1] : converse(join(composition(converse(X0),X1),X2)) = join(composition(converse(X1),X0),converse(X2)),
inference(superposition,[],[f9,f72]) ).
fof(f72,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f10,f8]) ).
fof(f15,axiom,
( composition(sk3,sk2) != join(composition(sk3,sk1),composition(sk3,sk2))
| composition(sk2,sk3) != join(composition(sk1,sk3),composition(sk2,sk3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL009-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 15:35:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (31220)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (31223)WARNING: value z3 for option sas not known
% 0.21/0.37 % (31221)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (31222)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (31223)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)
% 0.21/0.37 % (31224)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (31225)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)
% 0.21/0.37 % (31226)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)
% 0.21/0.37 % (31227)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [2]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [3]
% 0.21/0.45 TRYING [4]
% 0.21/0.47 TRYING [5]
% 1.67/0.57 TRYING [6]
% 3.77/0.89 TRYING [7]
% 6.36/1.27 TRYING [5]
% 7.88/1.47 TRYING [1]
% 7.88/1.47 TRYING [2]
% 7.88/1.47 TRYING [3]
% 7.88/1.48 TRYING [4]
% 8.10/1.52 TRYING [5]
% 9.03/1.66 TRYING [6]
% 10.34/1.82 TRYING [8]
% 12.67/2.15 TRYING [7]
% 24.93/3.95 TRYING [8]
% 41.91/6.32 TRYING [9]
% 67.47/9.99 % (31226)First to succeed.
% 67.90/10.01 % (31226)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31220"
% 67.90/10.02 % (31226)Refutation found. Thanks to Tanya!
% 67.90/10.02 % SZS status Unsatisfiable for theBenchmark
% 67.90/10.02 % SZS output start Proof for theBenchmark
% See solution above
% 67.90/10.02 % (31226)------------------------------
% 67.90/10.02 % (31226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 67.90/10.02 % (31226)Termination reason: Refutation
% 67.90/10.02
% 67.90/10.02 % (31226)Memory used [KB]: 171228
% 67.90/10.02 % (31226)Time elapsed: 9.639 s
% 67.90/10.02 % (31226)Instructions burned: 29511 (million)
% 67.90/10.02 % (31220)Success in time 9.538 s
%------------------------------------------------------------------------------