TSTP Solution File: SYN920+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN920+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.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 : Fri Sep 1 03:47:54 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 1 unt; 0 def)
% Number of atoms : 247 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 300 ( 109 ~; 104 |; 56 &)
% ( 8 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 57 (; 40 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f76,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f36,f41,f48,f53,f58,f62,f69,f75]) ).
fof(f75,plain,
( spl3_2
| ~ spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f74]) ).
fof(f74,plain,
( $false
| spl3_2
| ~ spl3_3
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f73,f40]) ).
fof(f40,plain,
( f(sK1)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl3_4
<=> f(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f73,plain,
( ~ f(sK1)
| spl3_2
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f72,f35]) ).
fof(f35,plain,
( g(sK1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl3_3
<=> g(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f72,plain,
( ~ g(sK1)
| ~ f(sK1)
| spl3_2 ),
inference(resolution,[],[f22,f30]) ).
fof(f30,plain,
( ~ h(sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl3_2
<=> h(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f22,plain,
! [X0] :
( h(X0)
| ~ g(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ! [X0] :
( h(X0)
| ~ g(X0)
| ~ f(X0) )
& ! [X1] :
( g(X1)
| ~ h(X1)
| ~ f(X1) )
& ( ! [X2] :
( h(X2)
| ~ f(X2) )
| ! [X3] :
( g(X3)
| ~ f(X3) ) )
& ( ( ~ g(sK2)
& f(sK2) )
| sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f12,f13]) ).
fof(f13,plain,
( ? [X4] :
( ~ g(X4)
& f(X4) )
=> ( ~ g(sK2)
& f(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ! [X0] :
( h(X0)
| ~ g(X0)
| ~ f(X0) )
& ! [X1] :
( g(X1)
| ~ h(X1)
| ~ f(X1) )
& ( ! [X2] :
( h(X2)
| ~ f(X2) )
| ! [X3] :
( g(X3)
| ~ f(X3) ) )
& ( ? [X4] :
( ~ g(X4)
& f(X4) )
| sP0 ) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
( ! [X5] :
( h(X5)
| ~ g(X5)
| ~ f(X5) )
& ! [X4] :
( g(X4)
| ~ h(X4)
| ~ f(X4) )
& ( ! [X0] :
( h(X0)
| ~ f(X0) )
| ! [X1] :
( g(X1)
| ~ f(X1) ) )
& ( ? [X3] :
( ~ g(X3)
& f(X3) )
| sP0 ) ),
inference(definition_folding,[],[f5,f6]) ).
fof(f6,plain,
( ? [X2] :
( ~ h(X2)
& g(X2)
& f(X2) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f5,plain,
( ! [X5] :
( h(X5)
| ~ g(X5)
| ~ f(X5) )
& ! [X4] :
( g(X4)
| ~ h(X4)
| ~ f(X4) )
& ( ! [X0] :
( h(X0)
| ~ f(X0) )
| ! [X1] :
( g(X1)
| ~ f(X1) ) )
& ( ? [X3] :
( ~ g(X3)
& f(X3) )
| ? [X2] :
( ~ h(X2)
& g(X2)
& f(X2) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X5] :
( h(X5)
| ~ g(X5)
| ~ f(X5) )
& ! [X4] :
( g(X4)
| ~ h(X4)
| ~ f(X4) )
& ( ! [X0] :
( h(X0)
| ~ f(X0) )
| ! [X1] :
( g(X1)
| ~ f(X1) ) )
& ( ? [X3] :
( ~ g(X3)
& f(X3) )
| ? [X2] :
( ~ h(X2)
& g(X2)
& f(X2) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ( ! [X0] :
( f(X0)
=> h(X0) )
| ! [X1] :
( f(X1)
=> g(X1) ) )
& ( ! [X2] :
( ( g(X2)
& f(X2) )
=> h(X2) )
=> ? [X3] :
( ~ g(X3)
& f(X3) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ( ! [X2] :
( f(X2)
=> h(X2) )
| ! [X1] :
( f(X1)
=> g(X1) ) )
& ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X0] :
( ~ g(X0)
& f(X0) ) ) )
=> ( ! [X3] :
( ( h(X3)
& f(X3) )
=> g(X3) )
=> ? [X4] :
( ~ h(X4)
& g(X4)
& f(X4) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ( ! [X2] :
( f(X2)
=> h(X2) )
| ! [X1] :
( f(X1)
=> g(X1) ) )
& ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X0] :
( ~ g(X0)
& f(X0) ) ) )
=> ( ! [X3] :
( ( h(X3)
& f(X3) )
=> g(X3) )
=> ? [X4] :
( ~ h(X4)
& g(X4)
& f(X4) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lYtk3zUH8t/Vampire---4.8_28402',prove_this) ).
fof(f69,plain,
( ~ spl3_6
| spl3_7
| ~ spl3_8 ),
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| ~ spl3_6
| spl3_7
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f67,f57]) ).
fof(f57,plain,
( f(sK2)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_8
<=> f(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f67,plain,
( ~ f(sK2)
| ~ spl3_6
| spl3_7
| ~ spl3_8 ),
inference(resolution,[],[f66,f47]) ).
fof(f47,plain,
( ! [X2] :
( h(X2)
| ~ f(X2) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_6
<=> ! [X2] :
( h(X2)
| ~ f(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f66,plain,
( ~ h(sK2)
| spl3_7
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f64,f57]) ).
fof(f64,plain,
( ~ h(sK2)
| ~ f(sK2)
| spl3_7 ),
inference(resolution,[],[f21,f52]) ).
fof(f52,plain,
( ~ g(sK2)
| spl3_7 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl3_7
<=> g(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f21,plain,
! [X1] :
( g(X1)
| ~ h(X1)
| ~ f(X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f62,plain,
( ~ spl3_5
| spl3_7
| ~ spl3_8 ),
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f61,plain,
( $false
| ~ spl3_5
| spl3_7
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f59,f57]) ).
fof(f59,plain,
( ~ f(sK2)
| ~ spl3_5
| spl3_7 ),
inference(resolution,[],[f44,f52]) ).
fof(f44,plain,
( ! [X3] :
( g(X3)
| ~ f(X3) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl3_5
<=> ! [X3] :
( g(X3)
| ~ f(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f58,plain,
( spl3_1
| spl3_8 ),
inference(avatar_split_clause,[],[f18,f55,f24]) ).
fof(f24,plain,
( spl3_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f18,plain,
( f(sK2)
| sP0 ),
inference(cnf_transformation,[],[f14]) ).
fof(f53,plain,
( spl3_1
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f19,f50,f24]) ).
fof(f19,plain,
( ~ g(sK2)
| sP0 ),
inference(cnf_transformation,[],[f14]) ).
fof(f48,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f20,f46,f43]) ).
fof(f20,plain,
! [X2,X3] :
( h(X2)
| ~ f(X2)
| g(X3)
| ~ f(X3) ),
inference(cnf_transformation,[],[f14]) ).
fof(f41,plain,
( ~ spl3_1
| spl3_4 ),
inference(avatar_split_clause,[],[f15,f38,f24]) ).
fof(f15,plain,
( f(sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( ~ h(sK1)
& g(sK1)
& f(sK1) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f9,f10]) ).
fof(f10,plain,
( ? [X0] :
( ~ h(X0)
& g(X0)
& f(X0) )
=> ( ~ h(sK1)
& g(sK1)
& f(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X0] :
( ~ h(X0)
& g(X0)
& f(X0) )
| ~ sP0 ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
( ? [X2] :
( ~ h(X2)
& g(X2)
& f(X2) )
| ~ sP0 ),
inference(nnf_transformation,[],[f6]) ).
fof(f36,plain,
( ~ spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f16,f33,f24]) ).
fof(f16,plain,
( g(sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f31,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f17,f28,f24]) ).
fof(f17,plain,
( ~ h(sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN920+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.36 % CPULimit : 300
% 0.22/0.36 % WCLimit : 300
% 0.22/0.36 % DateTime : Sat Aug 26 19:10:23 EDT 2023
% 0.22/0.36 % CPUTime :
% 0.22/0.36 This is a FOF_THM_EPR_NEQ problem
% 0.22/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.lYtk3zUH8t/Vampire---4.8_28402
% 0.22/0.37 % (28509)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (28516)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.43 % (28514)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43 % (28513)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.43 % (28512)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.43 % (28510)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.43 % (28515)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.43 % (28514)First to succeed.
% 0.22/0.43 % (28512)Also succeeded, but the first one will report.
% 0.22/0.43 % (28510)Also succeeded, but the first one will report.
% 0.22/0.43 % (28514)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (28514)------------------------------
% 0.22/0.43 % (28514)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (28514)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (28514)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (28514)Memory used [KB]: 5373
% 0.22/0.43 % (28514)Time elapsed: 0.005 s
% 0.22/0.43 % (28514)------------------------------
% 0.22/0.43 % (28514)------------------------------
% 0.22/0.43 % (28509)Success in time 0.064 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------