TSTP Solution File: SWC014-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC014-1 : 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 : n029.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 15:46:40 EDT 2024
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 52 ( 18 unt; 0 def)
% Number of atoms : 125 ( 36 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 157 ( 84 ~; 73 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1153,plain,
$false,
inference(resolution,[],[f1151,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f1151,plain,
~ ssList(nil),
inference(resolution,[],[f1094,f235]) ).
fof(f235,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f1094,plain,
neq(nil,nil),
inference(backward_demodulation,[],[f238,f1092]) ).
fof(f1092,plain,
nil = sk2,
inference(resolution,[],[f1091,f8]) ).
fof(f1091,plain,
( ~ ssList(nil)
| nil = sk2 ),
inference(resolution,[],[f1090,f240]) ).
fof(f240,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(f1090,plain,
( ~ ssList(sk2)
| nil = sk2
| ~ ssList(nil) ),
inference(resolution,[],[f1079,f250]) ).
fof(f250,plain,
ssList(sk6),
inference(resolution,[],[f242,f238]) ).
fof(f242,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(forward_demodulation,[],[f201,f190]) ).
fof(f201,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f1079,plain,
( ~ ssList(sk6)
| ~ ssList(sk2)
| nil = sk2
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f1078]) ).
fof(f1078,plain,
( ~ ssList(sk2)
| ~ ssList(sk6)
| ~ ssList(sk2)
| nil = sk2
| ~ ssList(nil) ),
inference(resolution,[],[f1073,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f1073,plain,
( ~ neq(nil,sk2)
| ~ ssList(sk2)
| ~ ssList(sk6) ),
inference(resolution,[],[f1046,f238]) ).
fof(f1046,plain,
( ~ neq(sk2,nil)
| ~ ssList(sk2)
| ~ neq(nil,sk2)
| ~ ssList(sk6) ),
inference(forward_demodulation,[],[f1045,f1035]) ).
fof(f1035,plain,
tl(sk2) = sk6,
inference(backward_demodulation,[],[f461,f1033]) ).
fof(f1033,plain,
sk2 = cons(sk5,sk6),
inference(forward_demodulation,[],[f1031,f253]) ).
fof(f253,plain,
sk2 = app(sk1,sk6),
inference(resolution,[],[f252,f238]) ).
fof(f252,plain,
( ~ neq(sk2,nil)
| sk2 = app(sk1,sk6) ),
inference(backward_demodulation,[],[f247,f251]) ).
fof(f251,plain,
sk1 = cons(sk5,nil),
inference(resolution,[],[f245,f238]) ).
fof(f245,plain,
( ~ neq(sk2,nil)
| sk1 = cons(sk5,nil) ),
inference(forward_demodulation,[],[f244,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f244,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(f247,plain,
( sk2 = app(cons(sk5,nil),sk6)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f246,f190]) ).
fof(f246,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(f1031,plain,
app(sk1,sk6) = cons(sk5,sk6),
inference(resolution,[],[f997,f250]) ).
fof(f997,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(sk1,X0) ),
inference(forward_demodulation,[],[f996,f251]) ).
fof(f996,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) ),
inference(resolution,[],[f120,f249]) ).
fof(f249,plain,
ssItem(sk5),
inference(resolution,[],[f241,f238]) ).
fof(f241,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(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(f461,plain,
sk6 = tl(cons(sk5,sk6)),
inference(resolution,[],[f427,f250]) ).
fof(f427,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sk5,X0)) = X0 ),
inference(resolution,[],[f96,f249]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f1045,plain,
( ~ ssList(tl(sk2))
| ~ ssList(sk2)
| ~ neq(nil,sk2)
| ~ neq(sk2,nil) ),
inference(trivial_inequality_removal,[],[f1044]) ).
fof(f1044,plain,
( sk2 != sk2
| ~ ssList(tl(sk2))
| ~ ssList(sk2)
| ~ neq(nil,sk2)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f1043,f253]) ).
fof(f1043,plain,
( sk2 != app(sk1,sk6)
| ~ ssList(tl(sk2))
| ~ ssList(sk2)
| ~ neq(nil,sk2)
| ~ neq(sk2,nil) ),
inference(backward_demodulation,[],[f248,f1035]) ).
fof(f248,plain,
( sk2 != app(sk1,tl(sk2))
| ~ ssList(tl(sk2))
| ~ ssList(sk2)
| ~ neq(nil,sk2)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f205,f190]) ).
fof(f205,plain,
( ~ ssList(tl(sk2))
| ~ ssList(sk2)
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk2 != app(sk1,tl(sk2)) ),
inference(equality_resolution,[],[f204]) ).
fof(f204,plain,
! [X7] :
( ~ ssList(X7)
| ~ ssList(sk2)
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| tl(sk2) != X7
| sk2 != app(sk1,X7) ),
inference(equality_resolution,[],[f199]) ).
fof(f199,axiom,
! [X6,X7] :
( ~ ssList(X7)
| ~ ssList(X6)
| sk2 != X6
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| tl(sk2) != X7
| app(sk1,X7) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f238,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SWC014-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n029.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 : Tue Apr 30 04:33:50 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (1576)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (1578)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 % (1579)WARNING: value z3 for option sas not known
% 0.14/0.38 % (1577)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (1579)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 % (1580)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (1581)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 % (1582)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 % (1583)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)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.42 % (1582)First to succeed.
% 0.21/0.42 % (1582)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43 % (1582)------------------------------
% 0.21/0.43 % (1582)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.43 % (1582)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (1582)Memory used [KB]: 1646
% 0.21/0.43 % (1582)Time elapsed: 0.041 s
% 0.21/0.43 % (1582)Instructions burned: 73 (million)
% 0.21/0.43 % (1582)------------------------------
% 0.21/0.43 % (1582)------------------------------
% 0.21/0.43 % (1576)Success in time 0.061 s
%------------------------------------------------------------------------------