TSTP Solution File: ANA017-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA017-2 : 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 : n029.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 15:44:34 EDT 2022
% Result : Unsatisfiable 1.80s 0.61s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 72 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 37 ~; 34 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f109,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f45,f77,f105]) ).
fof(f105,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f98,f1]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_b(X0),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f98,plain,
( ! [X0] : ~ c_lessequals(c_HOL_Oabs(v_b(v_x(c_times(c_HOL_Oabs(v_c,t_b),X0,t_b))),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(v_c,t_b),X0,t_b))),t_b),t_b),t_b)
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f83,f67]) ).
fof(f67,plain,
( c_lessequals(c_0,c_HOL_Oabs(v_c,t_b),t_b)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_5
<=> c_lessequals(c_0,c_HOL_Oabs(v_c,t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f83,plain,
( ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_b(v_x(c_times(c_HOL_Oabs(v_c,t_b),X0,t_b))),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(v_c,t_b),X0,t_b))),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_c,t_b),t_b) )
| ~ spl0_2 ),
inference(resolution,[],[f19,f30]) ).
fof(f30,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),X2,t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl0_2
<=> ! [X2,X0,X1] :
( ~ c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b)
| c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),X2,t_b),t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f19,plain,
! [X2,X1] : ~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(c_times(X1,X2,t_b))),t_b),t_b),c_times(X1,c_times(X2,c_HOL_Oabs(v_f(v_x(c_times(X1,X2,t_b))),t_b),t_b),t_b),t_b),
inference(superposition,[],[f2,f13]) ).
fof(f13,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_b),X2,t_b) = c_times(X0,c_times(X1,X2,t_b),t_b),
inference(resolution,[],[f11,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_times(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_times(X1,X3,X2),X2) ),
inference(resolution,[],[f5,f8]) ).
fof(f8,axiom,
! [X5] :
( class_OrderedGroup_Osemigroup__mult(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(f5,axiom,
! [X2,X3,X1,X4] :
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__1_0) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f77,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| spl0_5 ),
inference(subsumption_resolution,[],[f75,f3]) ).
fof(f75,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_5 ),
inference(resolution,[],[f74,f10]) ).
fof(f10,axiom,
! [X5] :
( class_OrderedGroup_Olordered__ab__group__abs(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f74,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_5 ),
inference(resolution,[],[f68,f4]) ).
fof(f4,axiom,
! [X2,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f68,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_c,t_b),t_b)
| spl0_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f45,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f43,f3]) ).
fof(f43,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_1 ),
inference(resolution,[],[f27,f9]) ).
fof(f9,axiom,
! [X5] :
( class_Ring__and__Field_Opordered__semiring(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f27,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_1
<=> class_Ring__and__Field_Opordered__semiring(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f31,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f29,f25]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b)
| c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),X2,t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b) ),
inference(superposition,[],[f7,f12]) ).
fof(f12,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(resolution,[],[f6,f3]) ).
fof(f6,axiom,
! [X2,X3,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f7,axiom,
! [X2,X3,X1,X4] :
( c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_0,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA017-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 15:22:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (4742)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.52 % (4725)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (4725)Instruction limit reached!
% 0.19/0.52 % (4725)------------------------------
% 0.19/0.52 % (4725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4725)Termination reason: Unknown
% 0.19/0.52 % (4725)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (4725)Memory used [KB]: 6012
% 0.19/0.52 % (4725)Time elapsed: 0.087 s
% 0.19/0.52 % (4725)Instructions burned: 7 (million)
% 0.19/0.52 % (4725)------------------------------
% 0.19/0.52 % (4725)------------------------------
% 0.19/0.53 % (4742)Refutation not found, incomplete strategy% (4742)------------------------------
% 0.19/0.53 % (4742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4742)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (4742)Memory used [KB]: 1279
% 0.19/0.53 % (4742)Time elapsed: 0.098 s
% 0.19/0.53 % (4742)Instructions burned: 2 (million)
% 0.19/0.53 % (4742)------------------------------
% 0.19/0.53 % (4742)------------------------------
% 0.19/0.54 % (4728)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)
% 0.19/0.55 % (4716)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)
% 0.19/0.55 % (4716)Instruction limit reached!
% 0.19/0.55 % (4716)------------------------------
% 0.19/0.55 % (4716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (4716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (4716)Termination reason: Unknown
% 0.19/0.55 % (4716)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (4716)Memory used [KB]: 5884
% 0.19/0.55 % (4716)Time elapsed: 0.151 s
% 0.19/0.55 % (4716)Instructions burned: 4 (million)
% 0.19/0.55 % (4716)------------------------------
% 0.19/0.55 % (4716)------------------------------
% 0.19/0.55 % (4720)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.49/0.56 % (4728)Instruction limit reached!
% 1.49/0.56 % (4728)------------------------------
% 1.49/0.56 % (4728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (4728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (4728)Termination reason: Unknown
% 1.49/0.56 % (4728)Termination phase: Saturation
% 1.49/0.56
% 1.49/0.56 % (4728)Memory used [KB]: 5884
% 1.49/0.56 % (4728)Time elapsed: 0.155 s
% 1.49/0.56 % (4728)Instructions burned: 4 (million)
% 1.49/0.56 % (4728)------------------------------
% 1.49/0.56 % (4728)------------------------------
% 1.49/0.57 % (4744)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.80/0.58 % (4729)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.80/0.58 % (4735)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.80/0.58 % (4731)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)
% 1.80/0.58 % (4731)Instruction limit reached!
% 1.80/0.58 % (4731)------------------------------
% 1.80/0.58 % (4731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.58 % (4731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.58 % (4731)Termination reason: Unknown
% 1.80/0.58 % (4731)Termination phase: Saturation
% 1.80/0.58
% 1.80/0.58 % (4731)Memory used [KB]: 5884
% 1.80/0.58 % (4731)Time elapsed: 0.098 s
% 1.80/0.58 % (4731)Instructions burned: 2 (million)
% 1.80/0.58 % (4731)------------------------------
% 1.80/0.58 % (4731)------------------------------
% 1.80/0.58 % (4735)Instruction limit reached!
% 1.80/0.58 % (4735)------------------------------
% 1.80/0.58 % (4735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.58 % (4735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.58 % (4735)Termination reason: Unknown
% 1.80/0.58 % (4735)Termination phase: Saturation
% 1.80/0.58
% 1.80/0.58 % (4735)Memory used [KB]: 1535
% 1.80/0.58 % (4735)Time elapsed: 0.191 s
% 1.80/0.58 % (4735)Instructions burned: 6 (million)
% 1.80/0.58 % (4735)------------------------------
% 1.80/0.58 % (4735)------------------------------
% 1.80/0.59 % (4732)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.80/0.59 % (4732)First to succeed.
% 1.80/0.59 % (4737)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)
% 1.80/0.60 % (4720)Instruction limit reached!
% 1.80/0.60 % (4720)------------------------------
% 1.80/0.60 % (4720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60 % (4720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (4720)Termination reason: Unknown
% 1.80/0.60 % (4720)Termination phase: Saturation
% 1.80/0.60
% 1.80/0.60 % (4720)Memory used [KB]: 6396
% 1.80/0.60 % (4720)Time elapsed: 0.208 s
% 1.80/0.60 % (4720)Instructions burned: 25 (million)
% 1.80/0.60 % (4720)------------------------------
% 1.80/0.60 % (4720)------------------------------
% 1.80/0.60 % (4718)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.80/0.61 % (4719)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.80/0.61 % (4740)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.80/0.61 % (4740)Refutation not found, incomplete strategy% (4740)------------------------------
% 1.80/0.61 % (4740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (4740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (4740)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.61
% 1.80/0.61 % (4740)Memory used [KB]: 5884
% 1.80/0.61 % (4740)Time elapsed: 0.199 s
% 1.80/0.61 % (4740)Instructions burned: 2 (million)
% 1.80/0.61 % (4740)------------------------------
% 1.80/0.61 % (4740)------------------------------
% 1.80/0.61 % (4732)Refutation found. Thanks to Tanya!
% 1.80/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.80/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.61 % (4732)------------------------------
% 1.80/0.61 % (4732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (4732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (4732)Termination reason: Refutation
% 1.80/0.61
% 1.80/0.61 % (4732)Memory used [KB]: 6012
% 1.80/0.61 % (4732)Time elapsed: 0.114 s
% 1.80/0.61 % (4732)Instructions burned: 5 (million)
% 1.80/0.61 % (4732)------------------------------
% 1.80/0.61 % (4732)------------------------------
% 1.80/0.61 % (4711)Success in time 0.262 s
%------------------------------------------------------------------------------