TSTP Solution File: SWC380-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC380-1 : 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 : 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 : Tue May 21 05:14:04 EDT 2024
% Result : Unsatisfiable 0.15s 0.42s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 81 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 95 ( 51 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1066,plain,
$false,
inference(resolution,[],[f1064,f246]) ).
fof(f246,plain,
ssList(sk6),
inference(resolution,[],[f238,f234]) ).
fof(f234,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f238,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(forward_demodulation,[],[f201,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f201,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f1064,plain,
~ ssList(sk6),
inference(resolution,[],[f1061,f245]) ).
fof(f245,plain,
ssItem(sk5),
inference(resolution,[],[f237,f234]) ).
fof(f237,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[],[f200,f190]) ).
fof(f200,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f1061,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6) ),
inference(resolution,[],[f1060,f234]) ).
fof(f1060,plain,
( ~ neq(sk2,nil)
| ~ ssItem(sk5)
| ~ ssList(sk6) ),
inference(duplicate_literal_removal,[],[f1059]) ).
fof(f1059,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssItem(sk5)
| ~ neq(sk2,nil) ),
inference(resolution,[],[f1029,f320]) ).
fof(f320,plain,
( ~ memberP(sk2,sk5)
| ~ ssItem(sk5)
| ~ neq(sk2,nil) ),
inference(trivial_inequality_removal,[],[f319]) ).
fof(f319,plain,
( sk1 != sk1
| ~ ssItem(sk5)
| ~ memberP(sk2,sk5)
| ~ neq(sk2,nil) ),
inference(superposition,[],[f244,f247]) ).
fof(f247,plain,
sk1 = cons(sk5,nil),
inference(resolution,[],[f241,f234]) ).
fof(f241,plain,
( ~ neq(sk2,nil)
| sk1 = cons(sk5,nil) ),
inference(forward_demodulation,[],[f240,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f240,plain,
( ~ neq(sk2,nil)
| sk3 = cons(sk5,nil) ),
inference(forward_demodulation,[],[f202,f190]) ).
fof(f202,axiom,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f244,plain,
! [X6] :
( sk1 != cons(X6,nil)
| ~ ssItem(X6)
| ~ memberP(sk2,X6)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f199,f190]) ).
fof(f199,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ neq(sk4,nil)
| ~ memberP(sk2,X6)
| sk1 != cons(X6,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f1029,plain,
( memberP(sk2,sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(superposition,[],[f230,f1017]) ).
fof(f1017,plain,
sk2 = cons(sk5,sk6),
inference(forward_demodulation,[],[f1015,f249]) ).
fof(f249,plain,
sk2 = app(sk1,sk6),
inference(resolution,[],[f248,f234]) ).
fof(f248,plain,
( ~ neq(sk2,nil)
| sk2 = app(sk1,sk6) ),
inference(backward_demodulation,[],[f243,f247]) ).
fof(f243,plain,
( sk2 = app(cons(sk5,nil),sk6)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f242,f190]) ).
fof(f242,plain,
( ~ neq(sk2,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
inference(forward_demodulation,[],[f203,f190]) ).
fof(f203,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f1015,plain,
app(sk1,sk6) = cons(sk5,sk6),
inference(resolution,[],[f981,f246]) ).
fof(f981,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(sk1,X0) ),
inference(forward_demodulation,[],[f980,f247]) ).
fof(f980,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) ),
inference(resolution,[],[f120,f245]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f230,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f213,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC380-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n021.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 : Sun May 19 02:44:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (7403)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (7406)WARNING: value z3 for option sas not known
% 0.15/0.38 % (7405)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (7407)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (7404)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (7408)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)
% 0.15/0.38 % (7410)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)
% 0.15/0.38 % (7409)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)
% 0.15/0.38 % (7406)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.41 TRYING [3]
% 0.15/0.42 % (7409)First to succeed.
% 0.15/0.42 % (7409)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7403"
% 0.15/0.42 % (7409)Refutation found. Thanks to Tanya!
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.42 % (7409)------------------------------
% 0.15/0.42 % (7409)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.42 % (7409)Termination reason: Refutation
% 0.15/0.42
% 0.15/0.42 % (7409)Memory used [KB]: 1642
% 0.15/0.42 % (7409)Time elapsed: 0.039 s
% 0.15/0.42 % (7409)Instructions burned: 69 (million)
% 0.15/0.42 % (7403)Success in time 0.05 s
%------------------------------------------------------------------------------