TSTP Solution File: SYN353-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 18:03:00 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 7 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 153 ( 54 ~; 99 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 117 ( 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f288,plain,
$false,
inference(subsumption_resolution,[],[f287,f266]) ).
fof(f266,plain,
! [X2,X0,X1] : f(X2,X0,X1),
inference(subsumption_resolution,[],[f265,f215]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ f(X2,X0,X1)
| f(X1,X2,X0) ),
inference(subsumption_resolution,[],[f210,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ f(X1,X2,X0)
| f(X2,X0,X1)
| f(X0,X1,X2) ),
inference(resolution,[],[f110,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ f(a,a,z(X0,X1,X2))
| f(X2,X0,X1)
| f(X1,X2,X0)
| ~ f(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f110,plain,
! [X0] : f(a,a,X0),
inference(subsumption_resolution,[],[f106,f77]) ).
fof(f77,plain,
! [X0] :
( ~ f(X0,a,a)
| f(a,a,X0) ),
inference(subsumption_resolution,[],[f75,f56]) ).
fof(f56,plain,
! [X0] :
( ~ f(X0,a,a)
| f(a,a,X0)
| f(a,X0,a) ),
inference(duplicate_literal_removal,[],[f55]) ).
fof(f55,plain,
! [X0] :
( f(a,X0,a)
| f(a,a,X0)
| f(a,a,X0)
| ~ f(X0,a,a) ),
inference(resolution,[],[f51,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ f(X1,X0,z(X0,X1,X2))
| f(X0,X1,X2)
| ~ f(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f51,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| f(a,X0,a)
| f(a,a,X0) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f49,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| f(a,X0,a)
| f(a,a,X0)
| f(a,X0,a) ),
inference(resolution,[],[f48,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ f(z(X0,X1,X2),X1,X0)
| f(X0,X1,X2)
| f(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f48,plain,
! [X0] :
( f(z(a,a,X0),a,a)
| f(a,a,z(a,a,X0))
| f(a,X0,a) ),
inference(resolution,[],[f44,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( f(X0,z(X0,X1,X2),X1)
| f(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f44,plain,
! [X0] :
( ~ f(a,X0,a)
| f(a,a,X0)
| f(X0,a,a) ),
inference(duplicate_literal_removal,[],[f43]) ).
fof(f43,plain,
! [X0] :
( f(X0,a,a)
| f(a,a,X0)
| f(a,a,X0)
| ~ f(a,X0,a) ),
inference(resolution,[],[f41,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ f(X0,z(X0,X1,X2),X1)
| f(X0,X1,X2)
| ~ f(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f41,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(X0,a,a)
| f(a,a,X0) ),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f40,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(X0,a,a)
| f(a,a,X0)
| f(X0,a,a) ),
inference(resolution,[],[f38,f10]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ f(z(X0,X1,X2),X1,X0)
| f(X0,X1,X2)
| f(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f38,plain,
! [X0] :
( f(z(a,a,X0),a,a)
| f(a,z(a,a,X0),a)
| f(X0,a,a) ),
inference(resolution,[],[f32,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( f(X1,X0,z(X0,X1,X2))
| f(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f32,plain,
! [X0] :
( ~ f(a,a,X0)
| f(a,X0,a)
| f(X0,a,a) ),
inference(duplicate_literal_removal,[],[f31]) ).
fof(f31,plain,
! [X0] :
( f(X0,a,a)
| f(a,X0,a)
| ~ f(a,a,X0)
| f(X0,a,a) ),
inference(resolution,[],[f1,f4]) ).
fof(f75,plain,
! [X0] :
( ~ f(a,X0,a)
| f(a,a,X0)
| ~ f(X0,a,a) ),
inference(resolution,[],[f71,f2]) ).
fof(f71,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| ~ f(a,X0,a) ),
inference(subsumption_resolution,[],[f69,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( f(X1,X0,z(X0,X1,X2))
| ~ f(X1,X2,X0)
| ~ f(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f69,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| f(a,a,X0)
| ~ f(a,X0,a) ),
inference(resolution,[],[f66,f6]) ).
fof(f66,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(a,a,z(a,a,X0)) ),
inference(subsumption_resolution,[],[f65,f4]) ).
fof(f65,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| f(a,z(a,a,X0),a)
| ~ f(X0,a,a) ),
inference(subsumption_resolution,[],[f59,f8]) ).
fof(f59,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| f(a,z(a,a,X0),a)
| ~ f(a,X0,a)
| ~ f(X0,a,a) ),
inference(resolution,[],[f56,f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( f(z(X0,X1,X2),X1,X0)
| ~ f(X1,X2,X0)
| ~ f(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f106,plain,
! [X0] :
( f(a,a,X0)
| f(X0,a,a) ),
inference(resolution,[],[f99,f10]) ).
fof(f99,plain,
! [X0] : f(z(a,a,X0),a,a),
inference(resolution,[],[f97,f95]) ).
fof(f95,plain,
! [X0] : f(a,z(a,a,X0),a),
inference(subsumption_resolution,[],[f76,f87]) ).
fof(f87,plain,
! [X0] :
( ~ f(X0,a,a)
| f(a,X0,a) ),
inference(resolution,[],[f84,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ f(X1,X0,z(X0,X1,X2))
| f(X1,X2,X0)
| ~ f(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f84,plain,
! [X0] : f(a,a,z(a,a,X0)),
inference(subsumption_resolution,[],[f70,f77]) ).
fof(f70,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| f(z(a,a,X0),a,a) ),
inference(duplicate_literal_removal,[],[f67]) ).
fof(f67,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| f(a,a,z(a,a,X0))
| f(z(a,a,X0),a,a) ),
inference(resolution,[],[f66,f44]) ).
fof(f76,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(z(a,a,X0),a,a) ),
inference(subsumption_resolution,[],[f73,f8]) ).
fof(f73,plain,
! [X0] :
( ~ f(a,X0,a)
| f(a,z(a,a,X0),a)
| f(z(a,a,X0),a,a) ),
inference(resolution,[],[f71,f32]) ).
fof(f97,plain,
! [X0] :
( ~ f(a,X0,a)
| f(X0,a,a) ),
inference(resolution,[],[f95,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ f(X0,z(X0,X1,X2),X1)
| f(X2,X0,X1)
| ~ f(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ f(X0,X1,X2)
| f(X1,X2,X0)
| ~ f(X2,X0,X1) ),
inference(resolution,[],[f197,f6]) ).
fof(f197,plain,
! [X2,X0,X1] :
( f(X0,z(X0,X1,X2),X1)
| ~ f(X2,X0,X1) ),
inference(subsumption_resolution,[],[f182,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( f(X0,z(X0,X1,X2),X1)
| ~ f(X2,X0,X1)
| ~ f(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f182,plain,
! [X2,X0,X1] :
( f(X0,z(X0,X1,X2),X1)
| f(X0,X1,X2)
| ~ f(X2,X0,X1) ),
inference(resolution,[],[f180,f2]) ).
fof(f180,plain,
! [X2,X0,X1] :
( f(X0,X1,z(X1,X0,X2))
| f(X1,z(X1,X0,X2),X0) ),
inference(subsumption_resolution,[],[f179,f4]) ).
fof(f179,plain,
! [X2,X0,X1] :
( f(X0,X1,z(X1,X0,X2))
| f(X1,z(X1,X0,X2),X0)
| ~ f(X2,X1,X0) ),
inference(subsumption_resolution,[],[f157,f8]) ).
fof(f157,plain,
! [X2,X0,X1] :
( f(X0,X1,z(X1,X0,X2))
| f(X1,z(X1,X0,X2),X0)
| ~ f(X0,X2,X1)
| ~ f(X2,X1,X0) ),
inference(resolution,[],[f117,f12]) ).
fof(f265,plain,
! [X2,X0,X1] :
( f(X0,X1,X2)
| f(X2,X0,X1) ),
inference(duplicate_literal_removal,[],[f258]) ).
fof(f258,plain,
! [X2,X0,X1] :
( f(X0,X1,X2)
| f(X2,X0,X1)
| f(X0,X1,X2) ),
inference(resolution,[],[f250,f11]) ).
fof(f250,plain,
! [X2,X0,X1] :
( f(z(X0,X1,X2),X1,X0)
| f(X1,X2,X0) ),
inference(subsumption_resolution,[],[f155,f215]) ).
fof(f155,plain,
! [X2,X0,X1] :
( f(z(X0,X1,X2),X1,X0)
| f(X1,X0,z(X0,X1,X2))
| f(X1,X2,X0) ),
inference(resolution,[],[f117,f8]) ).
fof(f287,plain,
! [X2,X0,X1] : ~ f(X1,X2,X0),
inference(subsumption_resolution,[],[f286,f266]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ f(X2,X0,X1)
| ~ f(X1,X2,X0) ),
inference(subsumption_resolution,[],[f280,f266]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ f(X0,X1,X2)
| ~ f(X2,X0,X1)
| ~ f(X1,X2,X0) ),
inference(resolution,[],[f266,f17]) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2))
| ~ f(X2,X0,X1)
| ~ f(X1,X2,X0)
| ~ f(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.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 : Tue Apr 30 02:08:40 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (21522)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (21526)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 % (21527)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (21524)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (21525)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 % (21523)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (21528)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (21529)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 [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (21528)First to succeed.
% 0.14/0.38 % (21528)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 % (21528)------------------------------
% 0.14/0.38 % (21528)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (21528)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (21528)Memory used [KB]: 762
% 0.14/0.38 % (21528)Time elapsed: 0.008 s
% 0.14/0.38 % (21528)Instructions burned: 13 (million)
% 0.14/0.38 % (21528)------------------------------
% 0.14/0.38 % (21528)------------------------------
% 0.14/0.38 % (21522)Success in time 0.024 s
%------------------------------------------------------------------------------