TSTP Solution File: SWC046-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC046-1 : 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 : n027.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 04:41:03 EDT 2024
% Result : Unsatisfiable 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 71 ( 24 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 39 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f714,plain,
$false,
inference(trivial_inequality_removal,[],[f713]) ).
fof(f713,plain,
nil != nil,
inference(superposition,[],[f193,f704]) ).
fof(f704,plain,
nil = sk1,
inference(backward_demodulation,[],[f192,f703]) ).
fof(f703,plain,
nil = sk3,
inference(resolution,[],[f702,f230]) ).
fof(f230,plain,
ssList(sk3),
inference(forward_demodulation,[],[f186,f192]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f702,plain,
( ~ ssList(sk3)
| nil = sk3 ),
inference(duplicate_literal_removal,[],[f701]) ).
fof(f701,plain,
( nil = sk3
| ~ ssList(sk3)
| nil = sk3
| ~ ssList(sk3) ),
inference(resolution,[],[f700,f77]) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f700,plain,
( ~ ssList(tl(sk3))
| nil = sk3
| ~ ssList(sk3) ),
inference(duplicate_literal_removal,[],[f698]) ).
fof(f698,plain,
( ~ ssList(tl(sk3))
| nil = sk3
| nil = sk3
| ~ ssList(sk3) ),
inference(resolution,[],[f697,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f697,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| nil = sk3 ),
inference(duplicate_literal_removal,[],[f696]) ).
fof(f696,plain,
( ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| nil = sk3
| ~ ssItem(hd(sk3)) ),
inference(resolution,[],[f691,f239]) ).
fof(f239,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f238]) ).
fof(f238,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(resolution,[],[f71,f232]) ).
fof(f232,plain,
! [X6] :
( memberP(nil,X6)
| ~ ssItem(X6)
| ~ memberP(sk3,X6) ),
inference(forward_demodulation,[],[f196,f228]) ).
fof(f228,plain,
nil = sk4,
inference(backward_demodulation,[],[f191,f190]) ).
fof(f190,axiom,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f196,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk3,X6)
| memberP(sk4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f691,plain,
( memberP(sk3,hd(sk3))
| ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| nil = sk3 ),
inference(superposition,[],[f224,f690]) ).
fof(f690,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f104,f230]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f224,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f192,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f193,axiom,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC046-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n027.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 : Sun May 19 02:42:37 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (3169)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36 % (3172)WARNING: value z3 for option sas not known
% 0.20/0.37 % (3173)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (3174)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)
% 0.20/0.37 % (3172)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)
% 0.20/0.37 % (3170)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (3175)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)
% 0.20/0.37 % (3176)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)
% 0.20/0.37 % (3171)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.39 % (3175)First to succeed.
% 0.20/0.39 % (3175)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3169"
% 0.20/0.39 TRYING [3]
% 0.20/0.39 % (3175)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (3175)------------------------------
% 0.20/0.39 % (3175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39 % (3175)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (3175)Memory used [KB]: 1404
% 0.20/0.39 % (3175)Time elapsed: 0.026 s
% 0.20/0.39 % (3175)Instructions burned: 46 (million)
% 0.20/0.39 % (3169)Success in time 0.036 s
%------------------------------------------------------------------------------