TSTP Solution File: SYN075+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SYN075+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% 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 20:13:59 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 55 ( 6 unt; 0 def)
% Number of atoms : 131 ( 67 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 127 ( 51 ~; 60 |; 1 &)
% ( 14 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 43 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1161,plain,
$false,
inference(avatar_sat_refutation,[],[f183,f882,f951,f953,f1105,f1107,f1144]) ).
fof(f1144,plain,
( ~ spl5_2
| spl5_22 ),
inference(avatar_split_clause,[],[f1115,f941,f60]) ).
fof(f60,plain,
( spl5_2
<=> big_f(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f941,plain,
( spl5_22
<=> big_f(sK3,sK0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f1115,plain,
( ~ big_f(sK3,sK4)
| spl5_22 ),
inference(superposition,[],[f942,f97]) ).
fof(f97,plain,
sK4 = sK0(sK4),
inference(equality_resolution,[],[f88]) ).
fof(f88,plain,
! [X0] :
( sK4 != X0
| sK0(X0) = sK4 ),
inference(equality_factoring,[],[f52]) ).
fof(f52,plain,
! [X0] :
( sK0(X0) = X0
| sK0(X0) = sK4 ),
inference(resolution,[],[f44,f11]) ).
fof(f11,plain,
! [X2,X3] :
( ~ big_f(X2,X3)
| sK4 = X3 ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
? [X0,X1] :
! [X2,X3] :
( big_f(X2,X3)
<=> ( X1 = X3
& X0 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f44,plain,
! [X0] :
( big_f(sK3,sK0(X0))
| sK0(X0) = X0 ),
inference(duplicate_literal_removal,[],[f43]) ).
fof(f43,plain,
! [X0] :
( big_f(sK3,sK0(X0))
| sK0(X0) = X0
| sK0(X0) = X0 ),
inference(superposition,[],[f13,f19]) ).
fof(f19,plain,
! [X0] :
( sK1(X0) = sK3
| sK0(X0) = X0 ),
inference(resolution,[],[f13,f10]) ).
fof(f10,plain,
! [X2,X3] :
( ~ big_f(X2,X3)
| sK3 = X2 ),
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
! [X0] :
( big_f(sK1(X0),sK0(X0))
| sK0(X0) = X0 ),
inference(equality_resolution,[],[f8]) ).
fof(f8,plain,
! [X3,X0] :
( sK0(X0) = X0
| sK1(X0) != X3
| big_f(X3,sK0(X0)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f5,plain,
! [X0] :
? [X1] :
( ? [X2] :
! [X3] :
( big_f(X3,X1)
<=> X2 = X3 )
<~> X0 = X1 ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ? [X0] :
! [X1] :
( ? [X2] :
! [X3] :
( big_f(X3,X1)
<=> X2 = X3 )
<=> X0 = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ? [X1] :
! [X3] :
( ? [X0] :
! [X2] :
( big_f(X2,X3)
<=> X0 = X2 )
<=> X1 = X3 ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
? [X1] :
! [X3] :
( ? [X0] :
! [X2] :
( big_f(X2,X3)
<=> X0 = X2 )
<=> X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f942,plain,
( ~ big_f(sK3,sK0(sK4))
| spl5_22 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f1107,plain,
( spl5_3
| ~ spl5_2
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f1101,f315,f60,f112]) ).
fof(f112,plain,
( spl5_3
<=> sK4 = sK0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f315,plain,
( spl5_8
<=> sK3 = sK2(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f1101,plain,
( ~ big_f(sK3,sK4)
| sK4 = sK0(sK4)
| ~ spl5_8 ),
inference(trivial_inequality_removal,[],[f1100]) ).
fof(f1100,plain,
( ~ big_f(sK3,sK4)
| sK3 != sK3
| sK4 = sK0(sK4)
| ~ spl5_8 ),
inference(superposition,[],[f40,f317]) ).
fof(f317,plain,
( sK3 = sK2(sK4,sK3)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f40,plain,
! [X0,X1] :
( ~ big_f(sK2(X0,X1),X0)
| sK2(X0,X1) != X1
| sK0(X0) = sK4 ),
inference(trivial_inequality_removal,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ big_f(sK2(X0,X1),X0)
| sK2(X0,X1) != X1
| X0 != X0
| sK0(X0) = sK4 ),
inference(superposition,[],[f7,f18]) ).
fof(f18,plain,
! [X0] :
( sK0(X0) = X0
| sK0(X0) = sK4 ),
inference(resolution,[],[f13,f11]) ).
fof(f7,plain,
! [X2,X0] :
( ~ big_f(sK2(X0,X2),sK0(X0))
| sK2(X0,X2) != X2
| sK0(X0) != X0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f1105,plain,
( ~ spl5_3
| ~ spl5_22
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f1103,f315,f941,f112]) ).
fof(f1103,plain,
( ~ big_f(sK3,sK0(sK4))
| sK4 != sK0(sK4)
| ~ spl5_8 ),
inference(trivial_inequality_removal,[],[f1098]) ).
fof(f1098,plain,
( ~ big_f(sK3,sK0(sK4))
| sK3 != sK3
| sK4 != sK0(sK4)
| ~ spl5_8 ),
inference(superposition,[],[f7,f317]) ).
fof(f953,plain,
( spl5_8
| ~ spl5_11 ),
inference(avatar_split_clause,[],[f952,f428,f315]) ).
fof(f428,plain,
( spl5_11
<=> ! [X0] :
( sK3 != X0
| sK2(sK4,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f952,plain,
( sK3 = sK2(sK4,sK3)
| ~ spl5_11 ),
inference(equality_resolution,[],[f429]) ).
fof(f429,plain,
( ! [X0] :
( sK3 != X0
| sK2(sK4,X0) = X0 )
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f951,plain,
( spl5_11
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f925,f186,f428]) ).
fof(f186,plain,
( spl5_7
<=> ! [X0] :
( sK2(sK4,X0) = X0
| sK3 = sK2(sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f925,plain,
( ! [X0] :
( sK3 != X0
| sK2(sK4,X0) = X0 )
| ~ spl5_7 ),
inference(equality_factoring,[],[f187]) ).
fof(f187,plain,
( ! [X0] :
( sK2(sK4,X0) = X0
| sK3 = sK2(sK4,X0) )
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f882,plain,
spl5_7,
inference(avatar_split_clause,[],[f873,f186]) ).
fof(f873,plain,
! [X0] :
( sK2(sK4,X0) = X0
| sK3 = sK2(sK4,X0) ),
inference(resolution,[],[f34,f10]) ).
fof(f34,plain,
! [X0] :
( big_f(sK2(sK4,X0),sK4)
| sK2(sK4,X0) = X0 ),
inference(trivial_inequality_removal,[],[f33]) ).
fof(f33,plain,
! [X0] :
( big_f(sK2(sK4,X0),sK4)
| sK2(sK4,X0) = X0
| sK4 != sK4 ),
inference(superposition,[],[f6,f26]) ).
fof(f26,plain,
sK4 = sK0(sK4),
inference(equality_resolution,[],[f21]) ).
fof(f21,plain,
! [X0] :
( sK4 != X0
| sK0(X0) = sK4 ),
inference(equality_factoring,[],[f18]) ).
fof(f6,plain,
! [X2,X0] :
( big_f(sK2(X0,X2),sK0(X0))
| sK2(X0,X2) = X2
| sK0(X0) != X0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
spl5_2,
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| spl5_2 ),
inference(resolution,[],[f61,f15]) ).
fof(f15,plain,
big_f(sK3,sK4),
inference(equality_resolution,[],[f14]) ).
fof(f14,plain,
! [X3] :
( sK4 != X3
| big_f(sK3,X3) ),
inference(equality_resolution,[],[f12]) ).
fof(f12,plain,
! [X2,X3] :
( sK3 != X2
| sK4 != X3
| big_f(X2,X3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f61,plain,
( ~ big_f(sK3,sK4)
| spl5_2 ),
inference(avatar_component_clause,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN075+1 : TPTP v8.2.0. Released v2.0.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 23:17:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order model finding
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (23457)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.22/0.42 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (23453)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.22/0.42 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (23452)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [4]
% 0.22/0.42 TRYING [5]
% 0.22/0.43 TRYING [6]
% 0.22/0.43 % (23457)First to succeed.
% 0.22/0.43 % (23457)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23450"
% 0.22/0.43 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (23457)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (23457)------------------------------
% 0.22/0.43 % (23457)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (23457)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (23457)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (23457)Memory used [KB]: 1113
% 0.22/0.43 % (23457)Time elapsed: 0.019 s
% 0.22/0.43 % (23457)Instructions burned: 35 (million)
% 0.22/0.43 % (23457)------------------------------
% 0.22/0.43 % (23457)------------------------------
% 0.22/0.43 % (23450)Success in time 0.058 s
%------------------------------------------------------------------------------