TSTP Solution File: SWV925-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV925-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Sun May 5 11:12:43 EDT 2024
% Result : Unsatisfiable 0.15s 0.43s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 46
% Syntax : Number of formulae : 80 ( 45 unt; 0 def)
% Number of atoms : 119 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 28 ~; 16 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 36 ( 34 usr; 24 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f736,plain,
$false,
inference(avatar_sat_refutation,[],[f627,f632,f637,f642,f647,f652,f657,f662,f667,f672,f677,f683,f690,f694,f698,f702,f706,f710,f716,f720,f724,f728,f732,f735]) ).
fof(f735,plain,
( ~ spl0_13
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f734,plain,
( $false
| ~ spl0_13
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f733]) ).
fof(f733,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f719,f689]) ).
fof(f689,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) = c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval)))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f687,plain,
( spl0_13
<=> c_HOL_Ozero__class_Ozero(tc_nat) = c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f719,plain,
( ! [X36] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X36)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f718,plain,
( spl0_20
<=> ! [X36] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X36) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f732,plain,
spl0_23,
inference(avatar_split_clause,[],[f399,f730]) ).
fof(f730,plain,
( spl0_23
<=> ! [X62] : ~ c_lessequals(c_Suc(X62),X62,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f399,axiom,
! [X62] : ~ c_lessequals(c_Suc(X62),X62,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__le__n_0) ).
fof(f728,plain,
spl0_22,
inference(avatar_split_clause,[],[f175,f726]) ).
fof(f726,plain,
( spl0_22
<=> ! [X1,X56] : c_BigStep_Ofinal(c_Expr_Oexp_OVal(X56,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f175,axiom,
! [X56,X1] : c_BigStep_Ofinal(c_Expr_Oexp_OVal(X56,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_final__def_1) ).
fof(f724,plain,
spl0_21,
inference(avatar_split_clause,[],[f147,f722]) ).
fof(f722,plain,
( spl0_21
<=> ! [X62] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X62,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f147,axiom,
! [X62] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X62,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le0_0) ).
fof(f720,plain,
spl0_20,
inference(avatar_split_clause,[],[f39,f718]) ).
fof(f39,axiom,
! [X36] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zero__neq__Suc_0) ).
fof(f716,plain,
( ~ spl0_19
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f711,f700,f687,f713]) ).
fof(f713,plain,
( spl0_19
<=> c_HOL_Ozero__class_Ozero(tc_nat) = c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f700,plain,
( spl0_16
<=> ! [X62] : c_Suc(X62) != X62 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f711,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) != c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f701,f689]) ).
fof(f701,plain,
( ! [X62] : c_Suc(X62) != X62
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f710,plain,
spl0_18,
inference(avatar_split_clause,[],[f613,f708]) ).
fof(f708,plain,
( spl0_18
<=> ! [X1,X26] : c_fequal(X26,X26,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f613,axiom,
! [X1,X26] : c_fequal(X26,X26,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(f706,plain,
spl0_17,
inference(avatar_split_clause,[],[f418,f704]) ).
fof(f704,plain,
( spl0_17
<=> ! [X62] : c_lessequals(X62,X62,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f418,axiom,
! [X62] : c_lessequals(X62,X62,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__refl_0) ).
fof(f702,plain,
spl0_16,
inference(avatar_split_clause,[],[f410,f700]) ).
fof(f410,axiom,
! [X62] : c_Suc(X62) != X62,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
fof(f698,plain,
spl0_15,
inference(avatar_split_clause,[],[f368,f696]) ).
fof(f696,plain,
( spl0_15
<=> ! [X1] : c_List_Odistinct(c_List_Olist_ONil(X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f368,axiom,
! [X1] : c_List_Odistinct(c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I1_J_0) ).
fof(f694,plain,
spl0_14,
inference(avatar_split_clause,[],[f244,f692]) ).
fof(f692,plain,
( spl0_14
<=> ! [X1] : c_Option_Ois__none(c_Option_Ooption_ONone(X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f244,axiom,
! [X1] : c_Option_Ois__none(c_Option_Ooption_ONone(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_is__none__def_1) ).
fof(f690,plain,
( spl0_13
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f685,f680,f687]) ).
fof(f680,plain,
( spl0_12
<=> c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f685,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) = c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval)))
| ~ spl0_12 ),
inference(forward_demodulation,[],[f684,f575]) ).
fof(f575,axiom,
! [X1] : c_HOL_Ozero__class_Ozero(tc_nat) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__0__conv_1) ).
fof(f684,plain,
( c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) = c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval)))
| ~ spl0_12 ),
inference(forward_demodulation,[],[f682,f570]) ).
fof(f570,axiom,
! [X56,X1,X26] : c_Suc(c_Nat_Osize__class_Osize(X56,tc_List_Olist(X1))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(X26,X56,X1),tc_List_Olist(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__Suc__conv_2) ).
fof(f682,plain,
( c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f683,plain,
spl0_12,
inference(avatar_split_clause,[],[f595,f680]) ).
fof(f595,axiom,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f677,plain,
spl0_11,
inference(avatar_split_clause,[],[f594,f674]) ).
fof(f674,plain,
( spl0_11
<=> c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_List_Olist(tc_String_Ochar))) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f594,axiom,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_List_Olist(tc_String_Ochar))) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f672,plain,
spl0_10,
inference(avatar_split_clause,[],[f612,f669]) ).
fof(f669,plain,
( spl0_10
<=> class_HOL_Oord(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f612,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
fof(f667,plain,
spl0_9,
inference(avatar_split_clause,[],[f611,f664]) ).
fof(f664,plain,
( spl0_9
<=> class_Orderings_Obot(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f611,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
fof(f662,plain,
spl0_8,
inference(avatar_split_clause,[],[f610,f659]) ).
fof(f659,plain,
( spl0_8
<=> class_Orderings_Oorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f610,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
fof(f657,plain,
spl0_7,
inference(avatar_split_clause,[],[f609,f654]) ).
fof(f654,plain,
( spl0_7
<=> class_Orderings_Opreorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f609,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
fof(f652,plain,
spl0_6,
inference(avatar_split_clause,[],[f608,f649]) ).
fof(f649,plain,
( spl0_6
<=> class_Complete__Lattice_Ocomplete__lattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f608,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
fof(f647,plain,
spl0_5,
inference(avatar_split_clause,[],[f607,f644]) ).
fof(f644,plain,
( spl0_5
<=> class_HOL_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f607,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
fof(f642,plain,
spl0_4,
inference(avatar_split_clause,[],[f606,f639]) ).
fof(f639,plain,
( spl0_4
<=> class_Orderings_Obot(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f606,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
fof(f637,plain,
spl0_3,
inference(avatar_split_clause,[],[f605,f634]) ).
fof(f634,plain,
( spl0_3
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f605,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f632,plain,
spl0_2,
inference(avatar_split_clause,[],[f604,f629]) ).
fof(f629,plain,
( spl0_2
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f604,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f627,plain,
spl0_1,
inference(avatar_split_clause,[],[f603,f624]) ).
fof(f624,plain,
( spl0_1
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f603,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV925-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:58:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (3131)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.41 % (3134)WARNING: value z3 for option sas not known
% 0.15/0.41 % (3133)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.41 % (3132)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.41 % (3135)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.41 % (3136)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)
% 0.15/0.41 % (3137)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)
% 0.15/0.41 % (3134)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)
% 0.15/0.41 % (3138)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)
% 0.15/0.42 % (3136)First to succeed.
% 0.15/0.43 % (3136)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3131"
% 0.15/0.43 % (3136)Refutation found. Thanks to Tanya!
% 0.15/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.43 % (3136)------------------------------
% 0.15/0.43 % (3136)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.43 % (3136)Termination reason: Refutation
% 0.15/0.43
% 0.15/0.43 % (3136)Memory used [KB]: 1361
% 0.15/0.43 % (3136)Time elapsed: 0.019 s
% 0.15/0.43 % (3136)Instructions burned: 28 (million)
% 0.15/0.43 % (3131)Success in time 0.057 s
%------------------------------------------------------------------------------