TSTP Solution File: SET825-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET825-1 : 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 : n009.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 18:22:24 EDT 2022
% Result : Unsatisfiable 1.60s 0.58s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 30 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 25 ( 10 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1434,plain,
$false,
inference(subsumption_resolution,[],[f1433,f1358]) ).
fof(f1358,axiom,
v_Q(v_n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1433,plain,
~ v_Q(v_n),
inference(backward_demodulation,[],[f1359,f1428]) ).
fof(f1428,plain,
v_n = v_m,
inference(subsumption_resolution,[],[f1427,f131]) ).
fof(f131,axiom,
! [X2,X6,X4] :
( ~ c_in(c_Pair(X4,X6,X2,X2),c_Relation_OId,tc_prod(X2,X2))
| X4 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f1427,plain,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| v_n = v_m ),
inference(subsumption_resolution,[],[f1426,f126]) ).
fof(f126,axiom,
! [X2,X4] : c_in(c_Pair(X4,X4,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f1426,plain,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| v_n = v_m
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference(subsumption_resolution,[],[f1423,f126]) ).
fof(f1423,plain,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_Suc(v_x(c_Relation_OId)),c_Suc(v_x(c_Relation_OId)),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| v_n = v_m
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference(superposition,[],[f1361,f1398]) ).
fof(f1398,plain,
( v_xa(c_Relation_OId) = v_x(c_Relation_OId)
| v_n = v_m ),
inference(resolution,[],[f1396,f131]) ).
fof(f1396,plain,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| v_xa(c_Relation_OId) = v_x(c_Relation_OId) ),
inference(subsumption_resolution,[],[f1367,f126]) ).
fof(f1367,plain,
( ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| v_xa(c_Relation_OId) = v_x(c_Relation_OId)
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference(resolution,[],[f1360,f131]) ).
fof(f1360,axiom,
! [X41] :
( c_in(c_Pair(v_x(X41),v_xa(X41),tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1361,axiom,
! [X41] :
( ~ c_in(c_Pair(c_Suc(v_x(X41)),c_Suc(v_xa(X41)),tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1359,axiom,
~ v_Q(v_m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET825-1 : 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
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:18:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 % (25092)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)
% 0.19/0.53 % (25100)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)
% 0.19/0.53 % (25092)Instruction limit reached!
% 0.19/0.53 % (25092)------------------------------
% 0.19/0.53 % (25092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25092)Termination reason: Unknown
% 0.19/0.53 % (25092)Termination phase: SInE selection
% 0.19/0.53
% 0.19/0.53 % (25092)Memory used [KB]: 2302
% 0.19/0.53 % (25092)Time elapsed: 0.006 s
% 0.19/0.53 % (25092)Instructions burned: 4 (million)
% 0.19/0.53 % (25092)------------------------------
% 0.19/0.53 % (25092)------------------------------
% 0.19/0.54 % (25080)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)
% 0.19/0.54 % (25093)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)
% 0.19/0.54 % (25100)Refutation not found, incomplete strategy% (25100)------------------------------
% 0.19/0.54 % (25100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (25100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (25100)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (25100)Memory used [KB]: 6780
% 0.19/0.54 % (25100)Time elapsed: 0.092 s
% 0.19/0.54 % (25100)Instructions burned: 5 (million)
% 0.19/0.54 % (25100)------------------------------
% 0.19/0.54 % (25100)------------------------------
% 0.19/0.54 % (25081)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)
% 0.19/0.54 % (25081)Instruction limit reached!
% 0.19/0.54 % (25081)------------------------------
% 0.19/0.54 % (25081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (25081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (25081)Termination reason: Unknown
% 0.19/0.54 % (25081)Termination phase: Equality proxy
% 0.19/0.54
% 0.19/0.54 % (25081)Memory used [KB]: 2558
% 0.19/0.54 % (25081)Time elapsed: 0.004 s
% 0.19/0.54 % (25081)Instructions burned: 6 (million)
% 0.19/0.54 % (25081)------------------------------
% 0.19/0.54 % (25081)------------------------------
% 0.19/0.55 % (25085)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)
% 0.19/0.55 % (25102)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)
% 0.19/0.55 % (25083)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)
% 0.19/0.55 % (25095)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)
% 0.19/0.55 % (25095)Instruction limit reached!
% 0.19/0.55 % (25095)------------------------------
% 0.19/0.55 % (25095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (25095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (25095)Termination reason: Unknown
% 0.19/0.55 % (25095)Termination phase: Unused predicate definition removal
% 0.19/0.55
% 0.19/0.55 % (25095)Memory used [KB]: 2302
% 0.19/0.55 % (25095)Time elapsed: 0.003 s
% 0.19/0.55 % (25095)Instructions burned: 3 (million)
% 0.19/0.55 % (25095)------------------------------
% 0.19/0.55 % (25095)------------------------------
% 0.19/0.55 % (25083)Refutation not found, incomplete strategy% (25083)------------------------------
% 0.19/0.55 % (25083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (25083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (25083)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (25083)Memory used [KB]: 6908
% 0.19/0.55 % (25083)Time elapsed: 0.123 s
% 0.19/0.55 % (25083)Instructions burned: 4 (million)
% 0.19/0.55 % (25083)------------------------------
% 0.19/0.55 % (25083)------------------------------
% 0.19/0.56 % (25079)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.56 % (25087)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)
% 0.19/0.56 % (25103)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)
% 0.19/0.56 % (25082)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)
% 0.19/0.56 % (25087)Instruction limit reached!
% 0.19/0.56 % (25087)------------------------------
% 0.19/0.56 % (25087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (25087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (25087)Termination reason: Unknown
% 0.19/0.56 % (25087)Termination phase: shuffling
% 0.19/0.56
% 0.19/0.56 % (25087)Memory used [KB]: 2430
% 0.19/0.56 % (25087)Time elapsed: 0.003 s
% 0.19/0.56 % (25087)Instructions burned: 3 (million)
% 0.19/0.56 % (25087)------------------------------
% 0.19/0.56 % (25087)------------------------------
% 0.19/0.56 % (25108)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)
% 0.19/0.56 % (25097)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)
% 0.19/0.56 % (25106)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)
% 0.19/0.56 % (25090)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)
% 0.19/0.56 % (25104)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)
% 0.19/0.56 % (25101)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)
% 0.19/0.57 % (25091)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)
% 0.19/0.57 % (25098)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)
% 0.19/0.57 % (25084)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.57 % (25089)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)
% 0.19/0.57 % (25096)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.57 % (25098)Instruction limit reached!
% 0.19/0.57 % (25098)------------------------------
% 0.19/0.57 % (25098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (25098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (25098)Termination reason: Unknown
% 0.19/0.57 % (25098)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (25098)Memory used [KB]: 2686
% 0.19/0.57 % (25098)Time elapsed: 0.007 s
% 0.19/0.57 % (25098)Instructions burned: 8 (million)
% 0.19/0.57 % (25098)------------------------------
% 0.19/0.57 % (25098)------------------------------
% 0.19/0.58 % (25107)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)
% 0.19/0.58 % (25105)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)
% 0.19/0.58 % (25088)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)
% 0.19/0.58 % (25099)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)
% 0.19/0.58 % (25094)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.58 % (25082)Refutation not found, incomplete strategy% (25082)------------------------------
% 0.19/0.58 % (25082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (25082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (25082)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.58
% 0.19/0.58 % (25082)Memory used [KB]: 6908
% 0.19/0.58 % (25082)Time elapsed: 0.143 s
% 0.19/0.58 % (25082)Instructions burned: 5 (million)
% 0.19/0.58 % (25082)------------------------------
% 0.19/0.58 % (25082)------------------------------
% 0.19/0.58 % (25080)First to succeed.
% 0.19/0.58 % (25086)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.60/0.58 % (25080)Refutation found. Thanks to Tanya!
% 1.60/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.60/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.58 % (25080)------------------------------
% 1.60/0.58 % (25080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.58 % (25080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.58 % (25080)Termination reason: Refutation
% 1.60/0.58
% 1.60/0.58 % (25080)Memory used [KB]: 3198
% 1.60/0.58 % (25080)Time elapsed: 0.139 s
% 1.60/0.58 % (25080)Instructions burned: 24 (million)
% 1.60/0.58 % (25080)------------------------------
% 1.60/0.58 % (25080)------------------------------
% 1.60/0.58 % (25078)Success in time 0.232 s
%------------------------------------------------------------------------------