TSTP Solution File: SYO617-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO617-1 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 09:15:10 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 6 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 186 ( 99 ~; 84 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f663,plain,
$false,
inference(avatar_sat_refutation,[],[f477,f517,f553,f558,f603,f654,f662]) ).
fof(f662,plain,
( spl0_1
| spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f387,f475,f439,f366]) ).
fof(f366,plain,
( spl0_1
<=> ! [X1] : ~ eq(f(X1),a0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f439,plain,
( spl0_3
<=> ! [X1] : ~ eq(f(X1),a1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f475,plain,
( spl0_5
<=> ! [X0] : ~ eq(f(X0),a2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ eq(f(X0),a2)
| ~ eq(f(X1),a1)
| ~ eq(f(X2),a0) ),
inference(resolution,[],[f175,f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ eq(f(max(X0,max(s(X1),X2))),a0)
| ~ eq(f(X1),a0) ),
inference(resolution,[],[f13,f5]) ).
fof(f5,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f13,plain,
! [X2,X0,X1] : le(X0,max(X1,max(X0,X2))),
inference(resolution,[],[f10,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f10,plain,
! [X0,X1] : le(X0,max(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f175,plain,
! [X2,X0,X1] :
( eq(f(max(s(X0),max(X1,s(X2)))),a0)
| ~ eq(f(X0),a2)
| ~ eq(f(X2),a1) ),
inference(resolution,[],[f74,f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ eq(f(max(X0,max(X1,s(X2)))),a1)
| ~ eq(f(X2),a1) ),
inference(resolution,[],[f6,f12]) ).
fof(f12,plain,
! [X2,X0,X1] : le(X0,max(X1,max(X2,X0))),
inference(resolution,[],[f10,f3]) ).
fof(f6,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a1)
| ~ eq(f(X3),a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f74,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a1)
| ~ eq(f(X0),a2)
| eq(f(max(s(X0),X1)),a0) ),
inference(resolution,[],[f37,f4]) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f37,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a2)
| ~ eq(f(X0),a2) ),
inference(resolution,[],[f7,f8]) ).
fof(f8,plain,
! [X0,X1] : le(X0,max(X0,X1)),
inference(resolution,[],[f2,f1]) ).
fof(f7,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a2)
| ~ eq(f(X3),a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f654,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f653,plain,
( $false
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f626,f623]) ).
fof(f623,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f606,f440]) ).
fof(f440,plain,
( ! [X1] : ~ eq(f(X1),a1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f606,plain,
( ! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_5 ),
inference(resolution,[],[f476,f4]) ).
fof(f476,plain,
( ! [X0] : ~ eq(f(X0),a2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f626,plain,
( ! [X0] : ~ eq(f(X0),a0)
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f623,f18]) ).
fof(f18,plain,
! [X0] :
( ~ eq(f(s(X0)),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f5,f1]) ).
fof(f603,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f602,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f586,f367]) ).
fof(f367,plain,
( ! [X1] : ~ eq(f(X1),a0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f586,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f569,f440]) ).
fof(f569,plain,
( ! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f568,f4]) ).
fof(f568,plain,
( ! [X0] : ~ eq(f(X0),a2)
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f559,f367]) ).
fof(f559,plain,
( ! [X0] :
( eq(f(s(X0)),a0)
| ~ eq(f(X0),a2) )
| ~ spl0_3 ),
inference(resolution,[],[f440,f43]) ).
fof(f43,plain,
! [X0] :
( eq(f(s(X0)),a1)
| ~ eq(f(X0),a2)
| eq(f(s(X0)),a0) ),
inference(resolution,[],[f36,f4]) ).
fof(f36,plain,
! [X0] :
( ~ eq(f(s(X0)),a2)
| ~ eq(f(X0),a2) ),
inference(resolution,[],[f7,f1]) ).
fof(f558,plain,
( spl0_3
| spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f522,f366,f475,f439]) ).
fof(f522,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a2)
| ~ eq(f(X1),a1) )
| ~ spl0_1 ),
inference(resolution,[],[f367,f182]) ).
fof(f182,plain,
! [X0,X1] :
( eq(f(max(s(X1),s(X0))),a0)
| ~ eq(f(X0),a2)
| ~ eq(f(X1),a1) ),
inference(resolution,[],[f80,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f6,f8]) ).
fof(f80,plain,
! [X0,X1] :
( eq(f(max(X1,s(X0))),a1)
| ~ eq(f(X0),a2)
| eq(f(max(X1,s(X0))),a0) ),
inference(resolution,[],[f38,f4]) ).
fof(f38,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a2)
| ~ eq(f(X1),a2) ),
inference(resolution,[],[f7,f10]) ).
fof(f553,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f552,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f536,f367]) ).
fof(f536,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f518,f484]) ).
fof(f484,plain,
( ! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_5 ),
inference(resolution,[],[f476,f4]) ).
fof(f518,plain,
( ! [X0] : ~ eq(f(X0),a1)
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f367,f485]) ).
fof(f485,plain,
( ! [X0] :
( eq(f(s(X0)),a0)
| ~ eq(f(X0),a1) )
| ~ spl0_5 ),
inference(resolution,[],[f484,f29]) ).
fof(f29,plain,
! [X0] :
( ~ eq(f(s(X0)),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f6,f1]) ).
fof(f517,plain,
( spl0_1
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f510,f475,f439,f366]) ).
fof(f510,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ eq(f(X1),a0) )
| ~ spl0_5 ),
inference(resolution,[],[f486,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a0)
| ~ eq(f(X1),a0) ),
inference(resolution,[],[f5,f10]) ).
fof(f486,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a1) )
| ~ spl0_5 ),
inference(resolution,[],[f484,f30]) ).
fof(f477,plain,
( spl0_1
| spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f467,f439,f475,f366]) ).
fof(f467,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a2)
| ~ eq(f(X1),a0) )
| ~ spl0_3 ),
inference(resolution,[],[f457,f20]) ).
fof(f457,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a2) )
| ~ spl0_3 ),
inference(resolution,[],[f440,f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO617-1 : TPTP v8.2.0. Released v7.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 11:03:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (6760)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (6761)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (6762)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (6764)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (6763)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)
% 0.14/0.37 % (6765)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (6766)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 Detected minimum model sizes of [1,1,1]
% 0.14/0.37 Detected maximum model sizes of [max,max,3]
% 0.14/0.37 TRYING [1,1,1]
% 0.14/0.37 Detected minimum model sizes of [1,1,1]
% 0.14/0.37 Detected maximum model sizes of [max,max,3]
% 0.14/0.37 TRYING [1,1,1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2,1,1]
% 0.14/0.37 TRYING [2,1,1]
% 0.14/0.37 % (6767)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)
% 0.14/0.37 TRYING [3,1,1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3,1,1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2,2,1]
% 0.14/0.37 TRYING [2,2,1]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [2,1,2]
% 0.14/0.38 TRYING [2,1,2]
% 0.14/0.38 TRYING [3,1,2]
% 0.14/0.38 TRYING [3,1,2]
% 0.14/0.38 TRYING [2,2,2]
% 0.14/0.38 TRYING [2,2,2]
% 0.14/0.38 TRYING [3,2,1]
% 0.14/0.38 TRYING [3,2,1]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3,2,2]
% 0.14/0.38 TRYING [3,2,2]
% 0.14/0.38 TRYING [4,1,1]
% 0.14/0.38 TRYING [4,1,1]
% 0.14/0.38 % (6763)First to succeed.
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (6763)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6760"
% 0.14/0.38 TRYING [4,1,2]
% 0.14/0.38 % (6763)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (6763)------------------------------
% 0.14/0.38 % (6763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (6763)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (6763)Memory used [KB]: 933
% 0.14/0.38 % (6763)Time elapsed: 0.014 s
% 0.14/0.38 % (6763)Instructions burned: 24 (million)
% 0.14/0.38 % (6760)Success in time 0.008 s
%------------------------------------------------------------------------------