TSTP Solution File: SYN039-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN039-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 18:01:53 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 66 ( 1 unt; 0 def)
% Number of atoms : 188 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 222 ( 100 ~; 113 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 136 ( 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f465,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f151,f202,f231,f267,f272,f296,f306,f354,f386,f397,f399,f463,f464]) ).
fof(f464,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f459,f154,f32,f228]) ).
fof(f228,plain,
( spl0_14
<=> ! [X0,X1] : p(f1(X0,X1),f1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f32,plain,
( spl0_2
<=> ! [X2] : ~ q(X2,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f154,plain,
( spl0_10
<=> ! [X2,X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| s(X2,f1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f459,plain,
( ! [X0,X1] : p(f1(X0,X1),f1(X0,X1))
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f450,f33]) ).
fof(f33,plain,
( ! [X2] : ~ q(X2,X2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f450,plain,
( ! [X2,X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| q(f1(X0,X1),X2) )
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f442]) ).
fof(f442,plain,
( ! [X2,X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| q(f1(X0,X1),X2)
| p(f1(X0,X1),f1(X0,X1)) )
| ~ spl0_10 ),
inference(resolution,[],[f155,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ s(X0,f1(X0,X1))
| q(f1(X0,X1),X2)
| p(f1(X0,X1),f1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_2) ).
fof(f155,plain,
( ! [X2,X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| s(X2,f1(X0,X1)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f463,plain,
( spl0_5
| spl0_14
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f458,f154,f51,f228,f43]) ).
fof(f43,plain,
( spl0_5
<=> ! [X0,X3] : s(X3,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f51,plain,
( spl0_7
<=> ! [X0,X1,X3] :
( s(X3,X0)
| ~ q(X1,f1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f458,plain,
( ! [X2,X3,X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| s(X2,X3) )
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f450,f52]) ).
fof(f52,plain,
( ! [X3,X0,X1] :
( ~ q(X1,f1(X0,X1))
| s(X3,X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f399,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f393,f270,f51,f43]) ).
fof(f270,plain,
( spl0_16
<=> ! [X2,X0,X1,X3] : q(f1(f1(X0,X1),X2),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f393,plain,
( ! [X0,X1] : s(X0,X1)
| ~ spl0_7
| ~ spl0_16 ),
inference(resolution,[],[f271,f52]) ).
fof(f271,plain,
( ! [X2,X3,X0,X1] : q(f1(f1(X0,X1),X2),X3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f397,plain,
( ~ spl0_2
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| ~ spl0_2
| ~ spl0_16 ),
inference(resolution,[],[f271,f33]) ).
fof(f386,plain,
( spl0_1
| spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f380,f162,f154,f29]) ).
fof(f29,plain,
( spl0_1
<=> ! [X1] : ~ s(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f162,plain,
( spl0_11
<=> ! [X2,X1,X3] :
( s(f1(X1,X2),X3)
| p(f1(X1,X2),f1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f380,plain,
( ! [X2,X3,X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| s(X2,f1(X0,X1))
| ~ s(X3,X3) )
| ~ spl0_11 ),
inference(resolution,[],[f163,f21]) ).
fof(f21,axiom,
! [X3,X0,X1] :
( ~ s(X0,f1(X0,X1))
| s(X3,X0)
| ~ s(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_21) ).
fof(f163,plain,
( ! [X2,X3,X1] :
( s(f1(X1,X2),X3)
| p(f1(X1,X2),f1(X1,X2)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f354,plain,
( spl0_11
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f283,f32,f162]) ).
fof(f283,plain,
( ! [X2,X0,X1] :
( s(f1(X0,X1),X2)
| p(f1(X0,X1),f1(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f33,f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( q(f1(X0,X1),X2)
| s(f1(X0,X1),X3)
| p(f1(X0,X1),f1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_5) ).
fof(f306,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f304,f44]) ).
fof(f44,plain,
( ! [X3,X0] : s(X3,X0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f304,plain,
( ! [X1] : ~ s(X1,X1)
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f302,f44]) ).
fof(f302,plain,
( ! [X0,X1] :
( ~ s(X0,f1(X0,X1))
| ~ s(X1,X1) )
| ~ spl0_3 ),
inference(resolution,[],[f36,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| ~ s(X0,f1(X0,X1))
| ~ s(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_3) ).
fof(f36,plain,
( ! [X0] : ~ p(X0,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_3
<=> ! [X0] : ~ p(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f296,plain,
( spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f295,f43,f35]) ).
fof(f295,plain,
( ! [X1] : ~ p(X1,X1)
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f291,f44]) ).
fof(f291,plain,
( ! [X0,X1] :
( ~ s(X0,X0)
| ~ p(X1,X1) )
| ~ spl0_5 ),
inference(resolution,[],[f44,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ s(X0,f1(X0,X1))
| ~ s(X1,X1)
| ~ p(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_12) ).
fof(f272,plain,
( spl0_1
| spl0_16
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f268,f228,f270,f29]) ).
fof(f268,plain,
( ! [X2,X3,X0,X1,X4] :
( q(f1(f1(X0,X1),X2),X3)
| ~ s(X4,X4) )
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f246,f229]) ).
fof(f229,plain,
( ! [X0,X1] : p(f1(X0,X1),f1(X0,X1))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f246,plain,
( ! [X2,X3,X0,X1,X4] :
( q(f1(f1(X0,X1),X2),X3)
| ~ s(X4,X4)
| ~ p(f1(f1(X0,X1),X2),f1(f1(X0,X1),X2)) )
| ~ spl0_14 ),
inference(resolution,[],[f232,f12]) ).
fof(f232,plain,
( ! [X2,X3,X0,X1,X4] :
( q(f1(f1(X0,X1),X2),X3)
| s(f1(f1(X0,X1),X2),X4) )
| ~ spl0_14 ),
inference(resolution,[],[f229,f14]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ p(X0,X0)
| q(f1(X0,X1),X2)
| s(f1(X0,X1),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_14) ).
fof(f267,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f263,f228,f51,f29,f43]) ).
fof(f263,plain,
( ! [X0,X1] : s(X0,X1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f247,f52]) ).
fof(f247,plain,
( ! [X2,X3,X0,X1] : q(f1(f1(X0,X1),X2),X3)
| ~ spl0_1
| ~ spl0_14 ),
inference(resolution,[],[f232,f30]) ).
fof(f30,plain,
( ! [X1] : ~ s(X1,X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f231,plain,
( spl0_5
| spl0_14
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f223,f51,f29,f228,f43]) ).
fof(f223,plain,
( ! [X2,X3,X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| s(X2,X3) )
| ~ spl0_1
| ~ spl0_7 ),
inference(resolution,[],[f157,f52]) ).
fof(f157,plain,
( ! [X2,X0,X1] :
( q(f1(X0,X1),X2)
| p(f1(X0,X1),f1(X0,X1)) )
| ~ spl0_1 ),
inference(resolution,[],[f30,f5]) ).
fof(f202,plain,
( spl0_11
| spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f172,f51,f43,f162]) ).
fof(f172,plain,
( ! [X2,X3,X0,X1,X4] :
( s(X0,X1)
| s(f1(X2,X3),X4)
| p(f1(X2,X3),f1(X2,X3)) )
| ~ spl0_7 ),
inference(resolution,[],[f52,f5]) ).
fof(f151,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f146,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f124,f30]) ).
fof(f124,plain,
( ! [X2,X3,X0,X1] : s(f1(f1(X0,X1),X2),X3)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f123,f33]) ).
fof(f123,plain,
( ! [X2,X3,X0,X1,X4] :
( q(f1(f1(X0,X1),X2),X3)
| s(f1(f1(X0,X1),X2),X4) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f115,f14]) ).
fof(f115,plain,
( ! [X0,X1] : p(f1(X0,X1),f1(X0,X1))
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f86,f30]) ).
fof(f86,plain,
( ! [X2,X0,X1] :
( s(f1(X0,X1),X2)
| p(f1(X0,X1),f1(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f5,f33]) ).
fof(f53,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f32,f51]) ).
fof(f25,axiom,
! [X2,X3,X0,X1] :
( ~ q(X2,X2)
| s(X3,X0)
| ~ q(X1,f1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_25) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n027.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 : Tue Apr 30 02:15:32 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (2190)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (2194)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 % (2195)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (2191)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (2193)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)
% 0.15/0.37 % (2192)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (2196)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (2197)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)
% 0.15/0.37 TRYING [4]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (2196)First to succeed.
% 0.15/0.38 TRYING [5]
% 0.15/0.38 % (2193)Also succeeded, but the first one will report.
% 0.15/0.38 % (2196)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (2196)------------------------------
% 0.15/0.38 % (2196)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (2196)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (2196)Memory used [KB]: 925
% 0.15/0.38 % (2196)Time elapsed: 0.012 s
% 0.15/0.38 % (2196)Instructions burned: 18 (million)
% 0.15/0.38 % (2196)------------------------------
% 0.15/0.38 % (2196)------------------------------
% 0.15/0.38 % (2190)Success in time 0.029 s
%------------------------------------------------------------------------------