TSTP Solution File: SWC277-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC277-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 10:19:33 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 43 ( 14 unt; 0 def)
% Number of atoms : 84 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 71 ( 30 ~; 37 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f540,plain,
$false,
inference(avatar_sat_refutation,[],[f243,f250,f511,f533]) ).
fof(f533,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f531,f47]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f531,plain,
( ~ ssItem(skaf44(sk1))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f518,f193]) ).
fof(f193,axiom,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f518,plain,
( totalorderedP(sk1)
| ~ ssItem(skaf44(sk1))
| ~ spl0_1 ),
inference(superposition,[],[f67,f514]) ).
fof(f514,plain,
( sk1 = cons(skaf44(sk1),nil)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f513,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f513,plain,
( ~ ssList(sk1)
| sk1 = cons(skaf44(sk1),nil)
| ~ spl0_1 ),
inference(resolution,[],[f101,f238]) ).
fof(f238,plain,
( singletonP(sk1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl0_1
<=> singletonP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f511,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f510,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f502,f4]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f502,plain,
( ~ totalorderedP(nil)
| spl0_2 ),
inference(superposition,[],[f193,f498]) ).
fof(f498,plain,
( nil = sk1
| spl0_2 ),
inference(subsumption_resolution,[],[f497,f186]) ).
fof(f497,plain,
( ~ ssList(sk1)
| nil = sk1
| spl0_2 ),
inference(resolution,[],[f491,f80]) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f491,plain,
( segmentP(nil,sk1)
| spl0_2 ),
inference(superposition,[],[f232,f489]) ).
fof(f489,plain,
( nil = sk2
| spl0_2 ),
inference(subsumption_resolution,[],[f488,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f488,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_2 ),
inference(subsumption_resolution,[],[f487,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f487,plain,
( ~ ssList(nil)
| nil = sk2
| ~ ssList(sk2)
| spl0_2 ),
inference(resolution,[],[f100,f242]) ).
fof(f242,plain,
( ~ neq(sk2,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl0_2
<=> neq(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f232,plain,
segmentP(sk2,sk1),
inference(forward_demodulation,[],[f231,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f231,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(f250,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f72,f248,f245]) ).
fof(f245,plain,
( spl0_3
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f248,plain,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f243,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f234,f240,f236]) ).
fof(f234,plain,
( ~ neq(sk2,nil)
| singletonP(sk1) ),
inference(forward_demodulation,[],[f233,f190]) ).
fof(f233,plain,
( singletonP(sk1)
| ~ neq(sk4,nil) ),
inference(forward_demodulation,[],[f194,f191]) ).
fof(f194,axiom,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC277-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:25:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (29051)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (29059)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (29058)WARNING: value z3 for option sas not known
% 0.14/0.38 % (29057)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (29056)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (29058)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)
% 0.14/0.38 % (29061)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)
% 0.14/0.38 % (29060)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)
% 0.14/0.38 % (29062)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 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 % (29058)First to succeed.
% 0.14/0.40 % (29058)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29051"
% 0.14/0.40 % (29058)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (29058)------------------------------
% 0.14/0.40 % (29058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (29058)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (29058)Memory used [KB]: 1178
% 0.14/0.40 % (29058)Time elapsed: 0.021 s
% 0.14/0.40 % (29058)Instructions burned: 32 (million)
% 0.14/0.40 % (29051)Success in time 0.041 s
%------------------------------------------------------------------------------