TSTP Solution File: ANA009-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA009-2 : 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 : n019.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 15:44:32 EDT 2022
% Result : Unsatisfiable 1.33s 0.52s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 32 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,plain,
$false,
inference(subsumption_resolution,[],[f44,f17]) ).
fof(f17,plain,
c_lessequals(sF1,sF0,t_b),
inference(forward_demodulation,[],[f15,f8]) ).
fof(f8,plain,
v_f(v_x) = sF0,
introduced(function_definition,[]) ).
fof(f15,plain,
c_lessequals(sF1,v_f(v_x),t_b),
inference(superposition,[],[f3,f9]) ).
fof(f9,plain,
v_lb(v_x) = sF1,
introduced(function_definition,[]) ).
fof(f3,axiom,
! [X4] : c_lessequals(v_lb(X4),v_f(X4),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f44,plain,
~ c_lessequals(sF1,sF0,t_b),
inference(subsumption_resolution,[],[f41,f12]) ).
fof(f12,plain,
~ c_lessequals(c_0,sF3,t_b),
inference(definition_folding,[],[f4,f11,f10,f9,f8]) ).
fof(f10,plain,
c_uminus(sF1,t_b) = sF2,
introduced(function_definition,[]) ).
fof(f11,plain,
sF3 = c_plus(sF0,sF2,t_b),
introduced(function_definition,[]) ).
fof(f4,axiom,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f41,plain,
( c_lessequals(c_0,sF3,t_b)
| ~ c_lessequals(sF1,sF0,t_b) ),
inference(superposition,[],[f22,f35]) ).
fof(f35,plain,
c_0 = c_plus(sF1,sF2,t_b),
inference(superposition,[],[f19,f10]) ).
fof(f19,plain,
! [X0] : c_0 = c_plus(X0,c_uminus(X0,t_b),t_b),
inference(resolution,[],[f2,f14]) ).
fof(f14,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f6,f7]) ).
fof(f7,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f6,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f2,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oright__minus_0) ).
fof(f22,plain,
! [X0] :
( c_lessequals(c_plus(X0,sF2,t_b),sF3,t_b)
| ~ c_lessequals(X0,sF0,t_b) ),
inference(subsumption_resolution,[],[f21,f13]) ).
fof(f13,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference(resolution,[],[f5,f7]) ).
fof(f5,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(f21,plain,
! [X0] :
( c_lessequals(c_plus(X0,sF2,t_b),sF3,t_b)
| ~ c_lessequals(X0,sF0,t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b) ),
inference(superposition,[],[f1,f11]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:15:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (6506)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (6498)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50 % (6500)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.50 % (6506)Instruction limit reached!
% 0.19/0.50 % (6506)------------------------------
% 0.19/0.50 % (6506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (6514)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (6498)First to succeed.
% 0.19/0.51 % (6506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6506)Termination reason: Unknown
% 0.19/0.51 % (6506)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (6506)Memory used [KB]: 5756
% 0.19/0.51 % (6506)Time elapsed: 0.097 s
% 0.19/0.51 % (6506)Instructions burned: 4 (million)
% 0.19/0.51 % (6506)------------------------------
% 0.19/0.51 % (6506)------------------------------
% 0.19/0.51 % (6504)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.33/0.52 % (6498)Refutation found. Thanks to Tanya!
% 1.33/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.33/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.52 % (6498)------------------------------
% 1.33/0.52 % (6498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.52 % (6498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.52 % (6498)Termination reason: Refutation
% 1.33/0.52
% 1.33/0.52 % (6498)Memory used [KB]: 5756
% 1.33/0.52 % (6498)Time elapsed: 0.107 s
% 1.33/0.52 % (6498)Instructions burned: 2 (million)
% 1.33/0.52 % (6498)------------------------------
% 1.33/0.52 % (6498)------------------------------
% 1.33/0.52 % (6497)Success in time 0.165 s
%------------------------------------------------------------------------------