TSTP Solution File: ANA018-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA018-2 : 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 : n020.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 15:44:35 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 80 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 84 ( 42 ~; 39 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f32,f41,f71]) ).
fof(f71,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f70,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f68,f1]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f68,plain,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_xa),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f46,f47]) ).
fof(f47,plain,
~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),t_b),
inference(backward_demodulation,[],[f4,f38]) ).
fof(f38,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(c_times(X0,X1,t_b),X2,t_b),
inference(resolution,[],[f6,f14]) ).
fof(f14,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(resolution,[],[f11,f5]) ).
fof(f5,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f11,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_OrderedGroup_Osemigroup__mult(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(f6,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(f4,axiom,
~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f46,plain,
( ! [X0,X1] :
( c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,X1,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(X0),t_b),X1,t_b) )
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f45,f25]) ).
fof(f25,plain,
( c_lessequals(c_0,v_ca,t_b)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl0_2
<=> c_lessequals(c_0,v_ca,t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f45,plain,
( ! [X0,X1] :
( c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,X1,t_b),t_b)
| ~ c_lessequals(c_0,v_ca,t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(X0),t_b),X1,t_b) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f44,f16]) ).
fof(f16,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f13,f5]) ).
fof(f13,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_Ring__and__Field_Opordered__semiring(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f44,plain,
( ! [X0,X1] :
( ~ c_lessequals(c_HOL_Oabs(v_f(X0),t_b),X1,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ c_lessequals(c_0,v_ca,t_b)
| c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,X1,t_b),t_b) )
| ~ spl0_3 ),
inference(resolution,[],[f31,f9]) ).
fof(f9,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(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f31,plain,
( ! [X2,X3] :
( ~ c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(X2),t_b),t_b),X3,t_b)
| c_lessequals(c_HOL_Oabs(v_x(X2),t_b),X3,t_b) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_3
<=> ! [X2,X3] :
( ~ c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(X2),t_b),t_b),X3,t_b)
| c_lessequals(c_HOL_Oabs(v_x(X2),t_b),X3,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f41,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f40]) ).
fof(f40,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f37,f21]) ).
fof(f21,plain,
( ~ class_Orderings_Oorder(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl0_1
<=> class_Orderings_Oorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f37,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f15,f10]) ).
fof(f10,axiom,
! [X8] :
( ~ class_LOrder_Ojoin__semilorder(X8)
| class_Orderings_Oorder(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f15,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(resolution,[],[f12,f5]) ).
fof(f12,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_LOrder_Ojoin__semilorder(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f32,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f28,f19,f30]) ).
fof(f28,plain,
! [X2,X3] :
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(X2),t_b),t_b),X3,t_b)
| c_lessequals(c_HOL_Oabs(v_x(X2),t_b),X3,t_b) ),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_x(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_3) ).
fof(f7,axiom,
! [X1,X6,X7,X5] :
( ~ c_lessequals(X7,X5,X1)
| ~ c_lessequals(X5,X6,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X7,X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f26,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f23,f19]) ).
fof(f17,plain,
( c_lessequals(c_0,v_ca,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(resolution,[],[f8,f2]) ).
fof(f2,axiom,
c_less(c_0,v_ca,t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f8,axiom,
! [X1,X7,X5] :
( ~ c_less(X7,X5,X1)
| c_lessequals(X7,X5,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA018-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 15:14:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (25584)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.51 % (25584)Refutation not found, incomplete strategy% (25584)------------------------------
% 0.21/0.51 % (25584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (25584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (25584)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (25584)Memory used [KB]: 5884
% 0.21/0.51 % (25584)Time elapsed: 0.104 s
% 0.21/0.51 % (25584)Instructions burned: 2 (million)
% 0.21/0.51 % (25584)------------------------------
% 0.21/0.51 % (25584)------------------------------
% 0.21/0.52 % (25566)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)
% 0.21/0.52 % (25580)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)
% 0.21/0.52 % (25566)Instruction limit reached!
% 0.21/0.52 % (25566)------------------------------
% 0.21/0.52 % (25566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (25566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (25566)Termination reason: Unknown
% 0.21/0.52 % (25566)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (25566)Memory used [KB]: 5884
% 0.21/0.52 % (25566)Time elapsed: 0.108 s
% 0.21/0.52 % (25566)Instructions burned: 3 (million)
% 0.21/0.52 % (25566)------------------------------
% 0.21/0.52 % (25566)------------------------------
% 0.21/0.53 % (25582)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.53 % (25574)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)
% 0.21/0.53 % (25560)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)
% 0.21/0.53 % (25574)Instruction limit reached!
% 0.21/0.53 % (25574)------------------------------
% 0.21/0.53 % (25574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (25574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (25574)Termination reason: Unknown
% 0.21/0.53 % (25574)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (25574)Memory used [KB]: 5884
% 0.21/0.53 % (25574)Time elapsed: 0.120 s
% 0.21/0.53 % (25574)Instructions burned: 2 (million)
% 0.21/0.53 % (25574)------------------------------
% 0.21/0.53 % (25574)------------------------------
% 0.21/0.54 % (25564)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)
% 0.21/0.54 % (25563)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.54 % (25582)First to succeed.
% 0.21/0.54 % (25560)Instruction limit reached!
% 0.21/0.54 % (25560)------------------------------
% 0.21/0.54 % (25560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (25560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (25560)Termination reason: Unknown
% 0.21/0.54 % (25560)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (25560)Memory used [KB]: 5884
% 0.21/0.54 % (25560)Time elapsed: 0.119 s
% 0.21/0.54 % (25560)Instructions burned: 5 (million)
% 0.21/0.54 % (25560)------------------------------
% 0.21/0.54 % (25560)------------------------------
% 0.21/0.54 % (25576)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.54 % (25576)Refutation not found, incomplete strategy% (25576)------------------------------
% 0.21/0.54 % (25576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (25576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (25576)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (25576)Memory used [KB]: 10362
% 0.21/0.54 % (25576)Time elapsed: 0.124 s
% 0.21/0.54 % (25576)Instructions burned: 2 (million)
% 0.21/0.54 % (25576)------------------------------
% 0.21/0.54 % (25576)------------------------------
% 0.21/0.54 % (25582)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (25582)------------------------------
% 0.21/0.54 % (25582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (25582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (25582)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (25582)Memory used [KB]: 5884
% 0.21/0.54 % (25582)Time elapsed: 0.121 s
% 0.21/0.54 % (25582)Instructions burned: 3 (million)
% 0.21/0.54 % (25582)------------------------------
% 0.21/0.54 % (25582)------------------------------
% 0.21/0.54 % (25557)Success in time 0.181 s
%------------------------------------------------------------------------------