TSTP Solution File: SWC025-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC025-1 : 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 : n003.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 15:47:22 EDT 2024
% Result : Unsatisfiable 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 11 unt; 0 def)
% Number of atoms : 130 ( 43 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 155 ( 74 ~; 81 |; 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 : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f760,plain,
$false,
inference(trivial_inequality_removal,[],[f759]) ).
fof(f759,plain,
nil != nil,
inference(superposition,[],[f739,f749]) ).
fof(f749,plain,
nil = sk2,
inference(resolution,[],[f748,f230]) ).
fof(f230,plain,
ssList(sk2),
inference(forward_demodulation,[],[f189,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f748,plain,
( ~ ssList(sk2)
| nil = sk2 ),
inference(duplicate_literal_removal,[],[f747]) ).
fof(f747,plain,
( nil = sk2
| ~ ssList(sk2)
| nil = sk2
| ~ ssList(sk2) ),
inference(resolution,[],[f746,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f746,plain,
( ~ ssList(tl(sk2))
| nil = sk2
| ~ ssList(sk2) ),
inference(duplicate_literal_removal,[],[f744]) ).
fof(f744,plain,
( ~ ssList(tl(sk2))
| nil = sk2
| nil = sk2
| ~ ssList(sk2) ),
inference(resolution,[],[f743,f78]) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f743,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(tl(sk2))
| nil = sk2 ),
inference(duplicate_literal_removal,[],[f742]) ).
fof(f742,plain,
( ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| nil = sk2
| ~ ssItem(hd(sk2)) ),
inference(resolution,[],[f713,f741]) ).
fof(f741,plain,
! [X0] :
( ~ memberP(sk2,X0)
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f740]) ).
fof(f740,plain,
! [X0] :
( ~ memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssItem(X0) ),
inference(resolution,[],[f731,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f731,plain,
! [X6] :
( memberP(nil,X6)
| ~ memberP(sk2,X6)
| ~ ssItem(X6) ),
inference(backward_demodulation,[],[f233,f726]) ).
fof(f726,plain,
nil = sk1,
inference(resolution,[],[f725,f231]) ).
fof(f231,plain,
ssList(sk1),
inference(forward_demodulation,[],[f188,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f725,plain,
( ~ ssList(sk1)
| nil = sk1 ),
inference(duplicate_literal_removal,[],[f724]) ).
fof(f724,plain,
( nil = sk1
| ~ ssList(sk1)
| nil = sk1
| ~ ssList(sk1) ),
inference(resolution,[],[f723,f75]) ).
fof(f723,plain,
( ~ ssList(tl(sk1))
| nil = sk1
| ~ ssList(sk1) ),
inference(duplicate_literal_removal,[],[f721]) ).
fof(f721,plain,
( ~ ssList(tl(sk1))
| nil = sk1
| nil = sk1
| ~ ssList(sk1) ),
inference(resolution,[],[f720,f78]) ).
fof(f720,plain,
( ~ ssItem(hd(sk1))
| ~ ssList(tl(sk1))
| nil = sk1 ),
inference(duplicate_literal_removal,[],[f719]) ).
fof(f719,plain,
( ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| nil = sk1
| ~ ssItem(hd(sk1))
| nil = sk1 ),
inference(resolution,[],[f707,f240]) ).
fof(f240,plain,
! [X0] :
( ~ memberP(sk1,X0)
| ~ ssItem(X0)
| nil = sk1 ),
inference(duplicate_literal_removal,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ~ memberP(sk1,X0)
| ~ ssItem(X0)
| nil = sk1
| ~ ssItem(X0) ),
inference(resolution,[],[f238,f71]) ).
fof(f238,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| nil = sk1 ),
inference(superposition,[],[f235,f195]) ).
fof(f195,axiom,
( nil = sk2
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f235,plain,
! [X6] :
( memberP(sk2,X6)
| ~ memberP(sk1,X6)
| ~ ssItem(X6) ),
inference(forward_demodulation,[],[f234,f190]) ).
fof(f234,plain,
! [X6] :
( ~ memberP(sk1,X6)
| ~ ssItem(X6)
| memberP(sk4,X6) ),
inference(forward_demodulation,[],[f193,f191]) ).
fof(f193,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk3,X6)
| memberP(sk4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f707,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| nil = sk1 ),
inference(superposition,[],[f225,f705]) ).
fof(f705,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| nil = sk1 ),
inference(resolution,[],[f104,f231]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f225,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f208,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/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f233,plain,
! [X6] :
( memberP(sk1,X6)
| ~ memberP(sk2,X6)
| ~ ssItem(X6) ),
inference(forward_demodulation,[],[f232,f191]) ).
fof(f232,plain,
! [X6] :
( ~ memberP(sk2,X6)
| ~ ssItem(X6)
| memberP(sk3,X6) ),
inference(forward_demodulation,[],[f194,f190]) ).
fof(f194,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk4,X6)
| memberP(sk3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f713,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| nil = sk2 ),
inference(superposition,[],[f225,f706]) ).
fof(f706,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| nil = sk2 ),
inference(resolution,[],[f104,f230]) ).
fof(f739,plain,
nil != sk2,
inference(trivial_inequality_removal,[],[f728]) ).
fof(f728,plain,
( nil != nil
| nil != sk2 ),
inference(backward_demodulation,[],[f198,f726]) ).
fof(f198,axiom,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC025-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 04:16:03 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (5329)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (5333)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (5332)WARNING: value z3 for option sas not known
% 0.20/0.37 % (5330)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (5331)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (5332)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 % (5334)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 % (5335)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 % (5336)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 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.40 % (5335)First to succeed.
% 0.20/0.40 % (5335)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40 % (5335)------------------------------
% 0.20/0.40 % (5335)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.40 % (5335)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (5335)Memory used [KB]: 1407
% 0.20/0.40 % (5335)Time elapsed: 0.027 s
% 0.20/0.40 % (5335)Instructions burned: 48 (million)
% 0.20/0.40 % (5335)------------------------------
% 0.20/0.40 % (5335)------------------------------
% 0.20/0.40 % (5329)Success in time 0.048 s
%------------------------------------------------------------------------------