TSTP Solution File: SWC340-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC340-1 : TPTP v8.2.0. Released v2.4.0.
% 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 : Tue May 21 05:13:19 EDT 2024
% Result : Unsatisfiable 6.80s 1.36s
% Output : Refutation 6.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 37 ( 19 unt; 0 def)
% Number of atoms : 94 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 115 ( 58 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15333,plain,
$false,
inference(subsumption_resolution,[],[f15332,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f15332,plain,
~ ssList(sk1),
inference(subsumption_resolution,[],[f15328,f234]) ).
fof(f234,plain,
~ totalorderedP(sk1),
inference(subsumption_resolution,[],[f194,f233]) ).
fof(f233,plain,
segmentP(sk2,sk1),
inference(forward_demodulation,[],[f232,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f232,plain,
segmentP(sk4,sk1),
inference(forward_demodulation,[],[f192,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f192,axiom,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f194,axiom,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f15328,plain,
( totalorderedP(sk1)
| ~ ssList(sk1) ),
inference(resolution,[],[f15324,f91]) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f15324,plain,
leq(skaf64(sk1),skaf65(sk1)),
inference(subsumption_resolution,[],[f15323,f30]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f15323,plain,
( ~ ssItem(skaf65(sk1))
| leq(skaf64(sk1),skaf65(sk1)) ),
inference(subsumption_resolution,[],[f15316,f31]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f15316,plain,
( ~ ssItem(skaf64(sk1))
| ~ ssItem(skaf65(sk1))
| leq(skaf64(sk1),skaf65(sk1)) ),
inference(resolution,[],[f15300,f103]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f15300,plain,
lt(skaf64(sk1),skaf65(sk1)),
inference(subsumption_resolution,[],[f15299,f230]) ).
fof(f230,plain,
strictorderedP(sk1),
inference(superposition,[],[f193,f191]) ).
fof(f193,axiom,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f15299,plain,
( ~ strictorderedP(sk1)
| lt(skaf64(sk1),skaf65(sk1)) ),
inference(forward_demodulation,[],[f15298,f6820]) ).
fof(f6820,plain,
sk1 = app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))),
inference(subsumption_resolution,[],[f6815,f234]) ).
fof(f6815,plain,
( totalorderedP(sk1)
| sk1 = app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))) ),
inference(resolution,[],[f164,f186]) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f15298,plain,
( ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
| lt(skaf64(sk1),skaf65(sk1)) ),
inference(subsumption_resolution,[],[f15297,f27]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f15297,plain,
( ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
| ~ ssList(skaf68(sk1))
| lt(skaf64(sk1),skaf65(sk1)) ),
inference(subsumption_resolution,[],[f15296,f28]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f15296,plain,
( ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
| ~ ssList(skaf67(sk1))
| ~ ssList(skaf68(sk1))
| lt(skaf64(sk1),skaf65(sk1)) ),
inference(subsumption_resolution,[],[f15295,f29]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f15295,plain,
( ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
| ~ ssList(skaf66(sk1))
| ~ ssList(skaf67(sk1))
| ~ ssList(skaf68(sk1))
| lt(skaf64(sk1),skaf65(sk1)) ),
inference(subsumption_resolution,[],[f15294,f30]) ).
fof(f15294,plain,
( ~ ssItem(skaf65(sk1))
| ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
| ~ ssList(skaf66(sk1))
| ~ ssList(skaf67(sk1))
| ~ ssList(skaf68(sk1))
| lt(skaf64(sk1),skaf65(sk1)) ),
inference(subsumption_resolution,[],[f15293,f31]) ).
fof(f15293,plain,
( ~ ssItem(skaf64(sk1))
| ~ ssItem(skaf65(sk1))
| ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
| ~ ssList(skaf66(sk1))
| ~ ssList(skaf67(sk1))
| ~ ssList(skaf68(sk1))
| lt(skaf64(sk1),skaf65(sk1)) ),
inference(subsumption_resolution,[],[f15230,f186]) ).
fof(f15230,plain,
( ~ ssList(sk1)
| ~ ssItem(skaf64(sk1))
| ~ ssItem(skaf65(sk1))
| ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
| ~ ssList(skaf66(sk1))
| ~ ssList(skaf67(sk1))
| ~ ssList(skaf68(sk1))
| lt(skaf64(sk1),skaf65(sk1)) ),
inference(superposition,[],[f215,f6820]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC340-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 03:45:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (20387)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (20394)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 % (20391)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (20390)WARNING: value z3 for option sas not known
% 0.14/0.40 % (20388)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 % (20389)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 % (20390)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)
% 0.14/0.40 % (20392)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)
% 0.14/0.40 % (20393)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)
% 0.14/0.41 TRYING [1]
% 0.14/0.41 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.46 TRYING [1]
% 0.22/0.46 TRYING [2]
% 0.22/0.48 TRYING [4]
% 0.22/0.55 TRYING [3]
% 2.01/0.64 TRYING [5]
% 2.45/0.75 TRYING [4]
% 3.85/0.91 TRYING [1]
% 3.85/0.91 TRYING [2]
% 3.85/0.92 TRYING [3]
% 4.13/0.96 TRYING [4]
% 4.57/1.01 TRYING [6]
% 5.07/1.10 TRYING [5]
% 6.21/1.24 TRYING [5]
% 6.80/1.36 % (20390)First to succeed.
% 6.80/1.36 % (20390)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20387"
% 6.80/1.36 % (20390)Refutation found. Thanks to Tanya!
% 6.80/1.36 % SZS status Unsatisfiable for theBenchmark
% 6.80/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 6.80/1.36 % (20390)------------------------------
% 6.80/1.36 % (20390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.80/1.36 % (20390)Termination reason: Refutation
% 6.80/1.36
% 6.80/1.36 % (20390)Memory used [KB]: 9858
% 6.80/1.36 % (20390)Time elapsed: 0.960 s
% 6.80/1.36 % (20390)Instructions burned: 2128 (million)
% 6.80/1.36 % (20387)Success in time 0.984 s
%------------------------------------------------------------------------------