TSTP Solution File: SWV275-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV275-2 : 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 18:44:48 EDT 2022
% Result : Unsatisfiable 1.43s 0.54s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 52 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 27 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f68,f149]) ).
fof(f149,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f148]) ).
fof(f148,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f137,f98]) ).
fof(f98,plain,
( c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f95,f7]) ).
fof(f7,axiom,
! [X8,X4,X5] :
( c_lessequals(X8,X4,tc_set(X5))
| c_in(c_Main_OsubsetI__1(X8,X4,X5),X8,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f95,plain,
( ~ c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ spl0_1 ),
inference(resolution,[],[f91,f2]) ).
fof(f2,axiom,
! [X2,X1] :
( c_lessequals(c_Message_Osynth(X2),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__mono_0) ).
fof(f91,plain,
( ~ c_lessequals(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f11,f47,f6]) ).
fof(f6,axiom,
! [X8,X9,X4,X5] :
( ~ c_lessequals(X8,X4,tc_set(X5))
| c_in(X9,X4,X5)
| ~ c_in(X9,X8,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f47,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_1
<=> c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f11,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(unit_resulting_resolution,[],[f9,f8]) ).
fof(f8,axiom,
! [X8,X4,X5] :
( c_lessequals(X8,X4,tc_set(X5))
| ~ c_in(c_Main_OsubsetI__1(X8,X4,X5),X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f9,axiom,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f137,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f99,f3]) ).
fof(f3,axiom,
! [X3,X6,X4,X5] :
( c_in(X3,c_insert(X6,X4,X5),X5)
| ~ c_in(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f99,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f95,f8]) ).
fof(f68,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f67,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f56,f4]) ).
fof(f4,axiom,
! [X7,X4,X5] : c_in(X7,c_insert(X7,X4,X5),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f56,plain,
( ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_2 ),
inference(backward_demodulation,[],[f17,f51]) ).
fof(f51,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_2
<=> v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f17,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[],[f11,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f52,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f26,f49,f45]) ).
fof(f26,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolution,[],[f12,f5]) ).
fof(f5,axiom,
! [X3,X8,X6,X5] :
( ~ c_in(X3,c_insert(X6,X8,X5),X5)
| c_in(X3,X8,X5)
| X3 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f12,plain,
c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[],[f9,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV275-2 : 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
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:21:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (11808)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.51 % (11811)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)
% 0.20/0.51 % (11798)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.51 % (11807)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)
% 0.20/0.51 % (11810)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)
% 1.24/0.52 % (11819)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)
% 1.24/0.52 % (11801)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)
% 1.24/0.52 % (11809)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.24/0.52 % (11809)Instruction limit reached!
% 1.24/0.52 % (11809)------------------------------
% 1.24/0.52 % (11809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.52 % (11809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.52 % (11809)Termination reason: Unknown
% 1.24/0.52 % (11809)Termination phase: Saturation
% 1.24/0.52
% 1.24/0.52 % (11809)Memory used [KB]: 5884
% 1.24/0.52 % (11809)Time elapsed: 0.113 s
% 1.24/0.52 % (11809)Instructions burned: 5 (million)
% 1.24/0.52 % (11809)------------------------------
% 1.24/0.52 % (11809)------------------------------
% 1.24/0.52 % (11819)First to succeed.
% 1.24/0.52 % (11825)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.24/0.52 % (11817)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)
% 1.24/0.52 % (11825)Refutation not found, incomplete strategy% (11825)------------------------------
% 1.24/0.52 % (11825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (11825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (11825)Termination reason: Refutation not found, incomplete strategy
% 1.24/0.53
% 1.24/0.53 % (11825)Memory used [KB]: 5756
% 1.24/0.53 % (11825)Time elapsed: 0.111 s
% 1.24/0.53 % (11825)Instructions burned: 2 (million)
% 1.24/0.53 % (11825)------------------------------
% 1.24/0.53 % (11825)------------------------------
% 1.24/0.53 % (11820)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.24/0.53 % (11799)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)
% 1.24/0.53 % (11798)Refutation not found, incomplete strategy% (11798)------------------------------
% 1.24/0.53 % (11798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (11798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (11798)Termination reason: Refutation not found, incomplete strategy
% 1.24/0.53
% 1.24/0.53 % (11798)Memory used [KB]: 1279
% 1.24/0.53 % (11798)Time elapsed: 0.128 s
% 1.24/0.53 % (11798)Instructions burned: 1 (million)
% 1.24/0.53 % (11798)------------------------------
% 1.24/0.53 % (11798)------------------------------
% 1.24/0.53 % (11803)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)
% 1.24/0.53 % (11817)Instruction limit reached!
% 1.24/0.53 % (11817)------------------------------
% 1.24/0.53 % (11817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (11817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (11817)Termination reason: Unknown
% 1.24/0.53 % (11817)Termination phase: Saturation
% 1.24/0.53
% 1.24/0.53 % (11817)Memory used [KB]: 1407
% 1.24/0.53 % (11817)Time elapsed: 0.115 s
% 1.24/0.53 % (11817)Instructions burned: 6 (million)
% 1.24/0.53 % (11817)------------------------------
% 1.24/0.53 % (11817)------------------------------
% 1.24/0.53 % (11799)Instruction limit reached!
% 1.24/0.53 % (11799)------------------------------
% 1.24/0.53 % (11799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (11799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (11799)Termination reason: Unknown
% 1.24/0.53 % (11799)Termination phase: Saturation
% 1.24/0.53
% 1.24/0.53 % (11799)Memory used [KB]: 5884
% 1.24/0.53 % (11799)Time elapsed: 0.129 s
% 1.24/0.53 % (11799)Instructions burned: 5 (million)
% 1.24/0.53 % (11799)------------------------------
% 1.24/0.53 % (11799)------------------------------
% 1.24/0.53 % (11797)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.24/0.53 % (11802)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.24/0.53 % (11816)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.24/0.53 % (11800)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)
% 1.24/0.53 % (11821)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)
% 1.24/0.53 % (11822)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)
% 1.24/0.53 % (11822)Refutation not found, incomplete strategy% (11822)------------------------------
% 1.24/0.53 % (11822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (11822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (11822)Termination reason: Refutation not found, incomplete strategy
% 1.24/0.53
% 1.24/0.53 % (11822)Memory used [KB]: 5756
% 1.24/0.53 % (11822)Time elapsed: 0.131 s
% 1.24/0.53 % (11822)Instructions burned: 2 (million)
% 1.24/0.53 % (11822)------------------------------
% 1.24/0.53 % (11822)------------------------------
% 1.24/0.53 % (11816)Instruction limit reached!
% 1.24/0.53 % (11816)------------------------------
% 1.24/0.53 % (11816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (11816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (11816)Termination reason: Unknown
% 1.24/0.53 % (11816)Termination phase: Saturation
% 1.24/0.53
% 1.24/0.53 % (11816)Memory used [KB]: 5884
% 1.24/0.53 % (11816)Time elapsed: 0.137 s
% 1.24/0.53 % (11816)Instructions burned: 7 (million)
% 1.24/0.53 % (11816)------------------------------
% 1.24/0.53 % (11816)------------------------------
% 1.43/0.54 % (11814)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.43/0.54 % (11811)Also succeeded, but the first one will report.
% 1.43/0.54 % (11819)Refutation found. Thanks to Tanya!
% 1.43/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.54 % (11819)------------------------------
% 1.43/0.54 % (11819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (11819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (11819)Termination reason: Refutation
% 1.43/0.54
% 1.43/0.54 % (11819)Memory used [KB]: 5884
% 1.43/0.54 % (11819)Time elapsed: 0.071 s
% 1.43/0.54 % (11819)Instructions burned: 6 (million)
% 1.43/0.54 % (11819)------------------------------
% 1.43/0.54 % (11819)------------------------------
% 1.43/0.54 % (11796)Success in time 0.175 s
%------------------------------------------------------------------------------