TSTP Solution File: SYN075-1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SYN075-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n001.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 : Mon Jun 24 20:01:12 EDT 2024
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 39 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(resolution,[],[f35,f16]) ).
fof(f16,plain,
big_f(a,b),
inference(equality_resolution,[],[f15]) ).
fof(f15,plain,
! [X1] :
( b != X1
| big_f(a,X1) ),
inference(equality_resolution,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( a != X0
| b != X1
| big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f35,plain,
! [X0] : ~ big_f(a,X0),
inference(superposition,[],[f32,f17]) ).
fof(f17,plain,
! [X0] : f(X0) = X0,
inference(subsumption_resolution,[],[f12,f11]) ).
fof(f11,plain,
! [X0] :
( ~ big_f(g(X0),f(X0))
| f(X0) = X0 ),
inference(equality_resolution,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( g(X0) != X1
| ~ big_f(X1,f(X0))
| f(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f12,plain,
! [X0] :
( f(X0) = X0
| big_f(g(X0),f(X0)) ),
inference(equality_resolution,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( g(X0) != X1
| f(X0) = X0
| big_f(X1,f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f32,plain,
! [X0] : ~ big_f(a,f(X0)),
inference(trivial_inequality_removal,[],[f31]) ).
fof(f31,plain,
! [X0] :
( a != a
| ~ big_f(a,f(X0)) ),
inference(superposition,[],[f18,f28]) ).
fof(f28,plain,
! [X0] : a = h(X0,a),
inference(equality_resolution,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( a != X1
| a = h(X0,X1) ),
inference(equality_factoring,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( h(X0,X1) = X1
| a = h(X0,X1) ),
inference(resolution,[],[f19,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ big_f(X0,X1)
| a = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f19,plain,
! [X2,X0] :
( big_f(h(X0,X2),f(X0))
| h(X0,X2) = X2 ),
inference(subsumption_resolution,[],[f9,f17]) ).
fof(f9,axiom,
! [X2,X0] :
( f(X0) != X0
| h(X0,X2) = X2
| big_f(h(X0,X2),f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f18,plain,
! [X2,X0] :
( h(X0,X2) != X2
| ~ big_f(h(X0,X2),f(X0)) ),
inference(subsumption_resolution,[],[f10,f17]) ).
fof(f10,axiom,
! [X2,X0] :
( f(X0) != X0
| h(X0,X2) != X2
| ~ big_f(h(X0,X2),f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN075-1 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jun 23 22:53:39 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.43 % (1514)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (1521)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=117:bd=off_0 on theBenchmark for (2999ds/117Mi)
% 0.21/0.44 % (1514)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (1515)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency:i=69040_0 on theBenchmark for (2999ds/69040Mi)
% 0.21/0.44 % (1521)First to succeed.
% 0.21/0.44 % (1521)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1514"
% 0.21/0.44 % (1514)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (1518)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=109:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.44 % (1515)Also succeeded, but the first one will report.
% 0.21/0.44 % (1514)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (1521)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (1521)------------------------------
% 0.21/0.44 % (1521)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44 % (1521)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44 % (1521)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (1521)Memory used [KB]: 1079
% 0.21/0.44 % (1521)Time elapsed: 0.005 s
% 0.21/0.44 % (1521)Instructions burned: 3 (million)
% 0.21/0.44 % (1521)------------------------------
% 0.21/0.44 % (1521)------------------------------
% 0.21/0.44 % (1514)Success in time 0.067 s
%------------------------------------------------------------------------------