TSTP Solution File: LAT259-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT259-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 13:21:05 EDT 2024
% Result : Unsatisfiable 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 74 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 35 ~; 33 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,plain,
$false,
inference(avatar_sat_refutation,[],[f12,f17,f22,f27,f32,f36,f43,f47,f50]) ).
fof(f50,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f48,f45,f14,f9,f40,f19]) ).
fof(f19,plain,
( spl0_3
<=> c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f40,plain,
( spl0_7
<=> c_Relation_Oantisym(v_r,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f9,plain,
( spl0_1
<=> v_a = v_b ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f14,plain,
( spl0_2
<=> c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f45,plain,
( spl0_8
<=> ! [X0,X3,X2,X1] :
( ~ c_Relation_Oantisym(X0,X1)
| X2 = X3
| ~ c_in(c_Pair(X3,X2,X1,X1),X0,tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f48,plain,
( v_a = v_b
| ~ c_Relation_Oantisym(v_r,t_a)
| ~ c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f46,f16]) ).
fof(f16,plain,
( c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f46,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X3,X2,X1,X1),X0,tc_prod(X1,X1))
| X2 = X3
| ~ c_Relation_Oantisym(X0,X1)
| ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
spl0_8,
inference(avatar_split_clause,[],[f4,f45]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ c_Relation_Oantisym(X0,X1)
| X2 = X3
| ~ c_in(c_Pair(X3,X2,X1,X1),X0,tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Oantisym__def_0) ).
fof(f43,plain,
( spl0_7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f38,f34,f29,f24,f40]) ).
fof(f24,plain,
( spl0_4
<=> c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f29,plain,
( spl0_5
<=> v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f34,plain,
( spl0_6
<=> ! [X4,X1] :
( ~ c_in(X4,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X4,X1,tc_Product__Type_Ounit),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f38,plain,
( c_Relation_Oantisym(v_r,t_a)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f37,f31]) ).
fof(f31,plain,
( v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f37,plain,
( c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f35,f26]) ).
fof(f26,plain,
( c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f35,plain,
( ! [X1,X4] :
( ~ c_in(X4,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X4,X1,tc_Product__Type_Ounit),X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f36,plain,
spl0_6,
inference(avatar_split_clause,[],[f5,f34]) ).
fof(f5,axiom,
! [X1,X4] :
( ~ c_in(X4,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X4,X1,tc_Product__Type_Ounit),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_1) ).
fof(f32,plain,
spl0_5,
inference(avatar_split_clause,[],[f7,f29]) ).
fof(f7,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f27,plain,
spl0_4,
inference(avatar_split_clause,[],[f6,f24]) ).
fof(f6,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
fof(f22,plain,
spl0_3,
inference(avatar_split_clause,[],[f2,f19]) ).
fof(f2,axiom,
c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f17,plain,
spl0_2,
inference(avatar_split_clause,[],[f1,f14]) ).
fof(f1,axiom,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f12,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f3,f9]) ).
fof(f3,axiom,
v_a != v_b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT259-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 21:40:49 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (5467)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (5470)WARNING: value z3 for option sas not known
% 0.12/0.36 % (5473)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.36 % (5472)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_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.36 % (5470)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (5471)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (5474)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.36 % (5472)First to succeed.
% 0.12/0.36 TRYING [1]
% 0.12/0.36 % (5474)Also succeeded, but the first one will report.
% 0.12/0.36 TRYING [2]
% 0.12/0.36 % (5470)Also succeeded, but the first one will report.
% 0.12/0.36 % (5472)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (5472)------------------------------
% 0.12/0.37 % (5472)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.37 % (5472)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (5472)Memory used [KB]: 771
% 0.12/0.37 % (5472)Time elapsed: 0.003 s
% 0.12/0.37 % (5472)Instructions burned: 3 (million)
% 0.12/0.37 % (5472)------------------------------
% 0.12/0.37 % (5472)------------------------------
% 0.12/0.37 % (5467)Success in time 0.017 s
%------------------------------------------------------------------------------