TSTP Solution File: SYO614-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO614-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 12:30:51 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 36 ~; 23 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f281,plain,
$false,
inference(avatar_sat_refutation,[],[f169,f224,f280]) ).
fof(f280,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f276,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f269,f165]) ).
fof(f165,plain,
( ! [X1] : ~ eq(f(X1),a0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl0_1
<=> ! [X1] : ~ eq(f(X1),a0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f269,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_1 ),
inference(resolution,[],[f266,f4]) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f266,plain,
( ! [X0] : ~ eq(f(X0),a1)
| ~ spl0_1 ),
inference(resolution,[],[f165,f45]) ).
fof(f45,plain,
! [X0] :
( eq(f(s(X0)),a0)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f31,f4]) ).
fof(f31,plain,
! [X0] :
( ~ eq(f(s(X0)),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f6,axiom,
! [X3,X4] :
( ~ eq(f(X3),a1)
| ~ eq(f(X4),a1)
| ~ le(s(X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f224,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f217]) ).
fof(f217,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f214,f208]) ).
fof(f208,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_2 ),
inference(resolution,[],[f168,f4]) ).
fof(f168,plain,
( ! [X0] : ~ eq(f(X0),a1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl0_2
<=> ! [X0] : ~ eq(f(X0),a1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f214,plain,
( ! [X0] : ~ eq(f(X0),a0)
| ~ spl0_2 ),
inference(resolution,[],[f208,f17]) ).
fof(f17,plain,
! [X0] :
( ~ eq(f(s(X0)),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,axiom,
! [X3,X4] :
( ~ eq(f(X3),a0)
| ~ eq(f(X4),a0)
| ~ le(s(X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f169,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f158,f167,f164]) ).
fof(f158,plain,
! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ eq(f(X1),a0) ),
inference(resolution,[],[f81,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ eq(f(max(X1,s(X0))),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f5,f9]) ).
fof(f9,plain,
! [X0,X1] : le(X0,max(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f81,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f32,f4]) ).
fof(f32,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f6,f7]) ).
fof(f7,plain,
! [X0,X1] : le(X0,max(X0,X1)),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO614-1 : TPTP v8.1.2. Released v7.1.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:11:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (7238)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (7240)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (7239)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (7242)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (7243)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (7244)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (7241)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (7245)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 Detected minimum model sizes of [1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,max,2]
% 0.15/0.38 Detected minimum model sizes of [1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,max,2]
% 0.15/0.38 TRYING [1,1,1]
% 0.15/0.38 TRYING [1,1,1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,1,1]
% 0.15/0.38 TRYING [2,1,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3,1,1]
% 0.15/0.38 TRYING [3,1,1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [2,2,1]
% 0.15/0.39 TRYING [2,2,1]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [2,1,2]
% 0.15/0.39 TRYING [2,1,2]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [3,1,2]
% 0.15/0.39 TRYING [3,1,2]
% 0.15/0.39 TRYING [2,2,2]
% 0.15/0.39 TRYING [2,2,2]
% 0.15/0.39 TRYING [3,2,1]
% 0.15/0.39 TRYING [3,2,1]
% 0.15/0.39 % (7241)First to succeed.
% 0.15/0.39 % (7241)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7238"
% 0.15/0.39 TRYING [3,2,2]
% 0.15/0.39 TRYING [3,2,2]
% 0.15/0.39 % (7241)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (7241)------------------------------
% 0.15/0.39 % (7241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (7241)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (7241)Memory used [KB]: 875
% 0.15/0.39 % (7241)Time elapsed: 0.009 s
% 0.15/0.39 % (7241)Instructions burned: 12 (million)
% 0.15/0.39 % (7238)Success in time 0.024 s
%------------------------------------------------------------------------------