TSTP Solution File: SWV260-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV260-2 : 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 : n002.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 18:44:43 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 6 unt; 0 def)
% Number of atoms : 86 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 84 ( 40 ~; 40 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f221,plain,
$false,
inference(avatar_sat_refutation,[],[f84,f105,f124,f218,f220]) ).
fof(f220,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f219,f77,f93]) ).
fof(f93,plain,
( spl0_3
<=> c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f77,plain,
( spl0_1
<=> c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f219,plain,
( ~ c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f79,f27]) ).
fof(f27,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f19,f6]) ).
fof(f6,axiom,
! [X2,X3,X4,X5] :
( c_in(X2,c_union(X5,X3,X4),X4)
| ~ c_in(X2,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f19,plain,
! [X2] :
( ~ c_in(c_Main_OsubsetI__1(X2,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(resolution,[],[f15,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f15,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f14,f9]) ).
fof(f9,axiom,
! [X3,X4,X5] :
( c_lessequals(X5,X3,tc_set(X4))
| ~ c_in(c_Main_OsubsetI__1(X5,X3,X4),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f14,plain,
! [X0] :
( ~ c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f10,f3]) ).
fof(f3,axiom,
~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f10,axiom,
! [X0,X1,X8] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X8),tc_Message_Omsg)
| ~ c_lessequals(X8,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__trans_0) ).
fof(f79,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f218,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f215]) ).
fof(f215,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f214,f141]) ).
fof(f141,plain,
( c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg)
| spl0_5 ),
inference(resolution,[],[f133,f2]) ).
fof(f2,axiom,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f133,plain,
( ! [X1] :
( ~ c_in(v_X,c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg) )
| spl0_5 ),
inference(resolution,[],[f128,f8]) ).
fof(f8,axiom,
! [X3,X4,X5] :
( c_lessequals(X5,X3,tc_set(X4))
| c_in(c_Main_OsubsetI__1(X5,X3,X4),X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f128,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) )
| spl0_5 ),
inference(resolution,[],[f104,f10]) ).
fof(f104,plain,
( ~ c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_5 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl0_5
<=> c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f214,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg)
| spl0_5 ),
inference(resolution,[],[f208,f5]) ).
fof(f5,axiom,
! [X2,X3,X4,X5] :
( c_in(X2,c_union(X5,X3,X4),X4)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f208,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_5 ),
inference(resolution,[],[f204,f4]) ).
fof(f204,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_5 ),
inference(resolution,[],[f132,f2]) ).
fof(f132,plain,
( ! [X0] :
( ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )
| spl0_5 ),
inference(resolution,[],[f128,f9]) ).
fof(f124,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f121]) ).
fof(f121,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f95,f1]) ).
fof(f1,axiom,
c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f95,plain,
( ~ c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_3 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f105,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f90,f81,f102,f93]) ).
fof(f81,plain,
( spl0_2
<=> v_X = c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f90,plain,
( ~ c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(superposition,[],[f15,f83]) ).
fof(f83,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f73,f81,f77]) ).
fof(f73,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg) ),
inference(resolution,[],[f17,f1]) ).
fof(f17,plain,
! [X0,X1] :
( ~ c_in(v_Y,c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X0
| c_in(c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(resolution,[],[f16,f7]) ).
fof(f7,axiom,
! [X6,X7,X4,X5] :
( ~ c_in(X6,c_insert(X7,X5,X4),X4)
| c_in(X6,X5,X4)
| X6 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f16,plain,
! [X1] :
( c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[],[f14,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV260-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % 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 : n002.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 : Tue Aug 30 19:22:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 % (27014)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)
% 0.21/0.48 % (27030)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)
% 0.21/0.49 % (27022)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)
% 0.21/0.49 % (27014)Instruction limit reached!
% 0.21/0.49 % (27014)------------------------------
% 0.21/0.49 % (27014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (27014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (27014)Termination reason: Unknown
% 0.21/0.49 % (27014)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (27014)Memory used [KB]: 5756
% 0.21/0.49 % (27014)Time elapsed: 0.084 s
% 0.21/0.49 % (27014)Instructions burned: 3 (million)
% 0.21/0.49 % (27014)------------------------------
% 0.21/0.49 % (27014)------------------------------
% 0.21/0.49 % (27022)Instruction limit reached!
% 0.21/0.49 % (27022)------------------------------
% 0.21/0.49 % (27022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (27022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (27022)Termination reason: Unknown
% 0.21/0.49 % (27022)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (27022)Memory used [KB]: 5756
% 0.21/0.49 % (27022)Time elapsed: 0.084 s
% 0.21/0.49 % (27022)Instructions burned: 2 (million)
% 0.21/0.49 % (27022)------------------------------
% 0.21/0.49 % (27022)------------------------------
% 0.21/0.52 % (27011)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.52 % (27015)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (27015)Refutation not found, incomplete strategy% (27015)------------------------------
% 0.21/0.52 % (27015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (27015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (27015)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (27015)Memory used [KB]: 5756
% 0.21/0.52 % (27015)Time elapsed: 0.106 s
% 0.21/0.52 % (27015)Instructions burned: 2 (million)
% 0.21/0.52 % (27015)------------------------------
% 0.21/0.52 % (27015)------------------------------
% 0.21/0.52 % (27006)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.52 % (27019)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)
% 0.21/0.53 % (27011)First to succeed.
% 0.21/0.53 % (27019)Instruction limit reached!
% 0.21/0.53 % (27019)------------------------------
% 0.21/0.53 % (27019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (27027)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.53 % (27019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (27019)Termination reason: Unknown
% 0.21/0.53 % (27019)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (27019)Memory used [KB]: 5884
% 0.21/0.53 % (27019)Time elapsed: 0.112 s
% 0.21/0.53 % (27019)Instructions burned: 3 (million)
% 0.21/0.53 % (27020)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)
% 0.21/0.53 % (27019)------------------------------
% 0.21/0.53 % (27019)------------------------------
% 0.21/0.53 % (27009)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)
% 0.21/0.53 % (27027)Refutation not found, incomplete strategy% (27027)------------------------------
% 0.21/0.53 % (27027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (27027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (27027)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (27027)Memory used [KB]: 5756
% 0.21/0.53 % (27027)Time elapsed: 0.111 s
% 0.21/0.53 % (27027)Instructions burned: 2 (million)
% 0.21/0.53 % (27027)------------------------------
% 0.21/0.53 % (27027)------------------------------
% 0.21/0.53 % (27011)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (27011)------------------------------
% 0.21/0.53 % (27011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (27011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (27011)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (27011)Memory used [KB]: 6012
% 0.21/0.53 % (27011)Time elapsed: 0.103 s
% 0.21/0.53 % (27011)Instructions burned: 11 (million)
% 0.21/0.53 % (27011)------------------------------
% 0.21/0.53 % (27011)------------------------------
% 0.21/0.53 % (27005)Success in time 0.172 s
%------------------------------------------------------------------------------