TSTP Solution File: ANA029-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA029-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n008.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 : Wed Aug 31 15:44:40 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 44 ( 6 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 117 ( 56 ~; 57 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f29,f128,f134,f141]) ).
fof(f141,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f139,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f139,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_4 ),
inference(resolution,[],[f135,f13]) ).
fof(f13,axiom,
! [X7] :
( class_OrderedGroup_Olordered__ab__group__abs(X7)
| ~ class_Ring__and__Field_Oordered__idom(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f135,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_4 ),
inference(resolution,[],[f127,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f127,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| spl0_4 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl0_4
<=> c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f134,plain,
( ~ spl0_4
| ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f130,f121,f20,f125]) ).
fof(f20,plain,
( spl0_1
<=> ! [X0,X1] :
( c_lessequals(X1,X0,t_b)
| c_lessequals(X0,X1,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f121,plain,
( spl0_3
<=> c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f130,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ spl0_1
| spl0_3 ),
inference(resolution,[],[f123,f76]) ).
fof(f76,plain,
( ! [X3] :
( c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),X3,t_b)
| ~ c_lessequals(c_0,X3,t_b) )
| ~ spl0_1 ),
inference(resolution,[],[f64,f21]) ).
fof(f21,plain,
( ! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f64,plain,
! [X0] :
( ~ c_lessequals(X0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(resolution,[],[f63,f1]) ).
fof(f1,axiom,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f63,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X1,t_b)
| ~ c_lessequals(X2,X1,t_b)
| ~ c_lessequals(X0,X2,t_b) ),
inference(resolution,[],[f62,f3]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(X3,X1,X2)
| ~ c_lessequals(X3,X0,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f58,f14]) ).
fof(f14,axiom,
! [X7] :
( class_OrderedGroup_Opordered__ab__group__add(X7)
| ~ class_Ring__and__Field_Oordered__idom(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(X3,X1,X2)
| c_lessequals(X0,X1,X2)
| ~ c_lessequals(X0,X3,X2) ),
inference(resolution,[],[f9,f11]) ).
fof(f11,axiom,
! [X7] :
( class_Orderings_Oorder(X7)
| ~ class_OrderedGroup_Opordered__ab__group__add(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(f9,axiom,
! [X3,X0,X6,X4] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X4,X6,X0)
| ~ c_lessequals(X4,X3,X0)
| ~ c_lessequals(X3,X6,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f123,plain,
( ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| spl0_3 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f128,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f117,f23,f125,f121]) ).
fof(f23,plain,
( spl0_2
<=> class_Orderings_Olinorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f117,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ spl0_2 ),
inference(resolution,[],[f116,f2]) ).
fof(f2,axiom,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f116,plain,
( ! [X6,X4,X5] :
( c_lessequals(c_Orderings_Omax(X4,X6,t_b),X5,t_b)
| ~ c_lessequals(X4,X5,t_b)
| ~ c_lessequals(X6,X5,t_b) )
| ~ spl0_2 ),
inference(resolution,[],[f8,f24]) ).
fof(f24,plain,
( class_Orderings_Olinorder(t_b)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f8,axiom,
! [X3,X6,X4,X5] :
( ~ class_Orderings_Olinorder(X5)
| ~ c_lessequals(X4,X6,X5)
| ~ c_lessequals(X3,X6,X5)
| c_lessequals(c_Orderings_Omax(X4,X3,X5),X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f29,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f28]) ).
fof(f28,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f27,f3]) ).
fof(f27,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_2 ),
inference(resolution,[],[f25,f12]) ).
fof(f12,axiom,
! [X7] :
( class_Orderings_Olinorder(X7)
| ~ class_Ring__and__Field_Oordered__idom(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f25,plain,
( ~ class_Orderings_Olinorder(t_b)
| spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f26,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f18,f23,f20]) ).
fof(f18,plain,
! [X0,X1] :
( ~ class_Orderings_Olinorder(t_b)
| c_lessequals(X1,X0,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(resolution,[],[f17,f7]) ).
fof(f7,axiom,
! [X3,X0,X4] :
( c_less(X3,X4,X0)
| c_lessequals(X4,X3,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f17,plain,
! [X0,X1] :
( ~ c_less(X0,X1,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(resolution,[],[f16,f3]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(X0,X1,X2)
| ~ c_less(X0,X1,X2) ),
inference(resolution,[],[f15,f14]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| c_lessequals(X0,X1,X2)
| ~ c_less(X0,X1,X2) ),
inference(resolution,[],[f10,f11]) ).
fof(f10,axiom,
! [X3,X0,X4] :
( ~ class_Orderings_Oorder(X0)
| ~ c_less(X4,X3,X0)
| c_lessequals(X4,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA029-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.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 Aug 29 15:17:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (10806)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.49 % (10806)First to succeed.
% 0.19/0.50 % (10823)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50 % (10814)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (10806)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (10806)------------------------------
% 0.19/0.50 % (10806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (10806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (10806)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (10806)Memory used [KB]: 5884
% 0.19/0.50 % (10806)Time elapsed: 0.090 s
% 0.19/0.50 % (10806)Instructions burned: 5 (million)
% 0.19/0.50 % (10806)------------------------------
% 0.19/0.50 % (10806)------------------------------
% 0.19/0.50 % (10795)Success in time 0.152 s
%------------------------------------------------------------------------------