TSTP Solution File: SET848-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET848-1 : 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 : n008.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 18:22:31 EDT 2022
% Result : Unsatisfiable 1.39s 0.57s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 18 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1395,plain,
$false,
inference(unit_resulting_resolution,[],[f310,f1388,f1359]) ).
fof(f1359,axiom,
! [X40,X2,X54] :
( ~ c_lessequals(X54,c_Zorn_OTFin(X40,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X54,tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f1388,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f1387,f1360]) ).
fof(f1360,axiom,
! [X40,X2,X34] :
( c_in(X34,c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2)))
| ~ c_in(X34,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
fof(f1387,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
inference(subsumption_resolution,[],[f1386,f1366]) ).
fof(f1366,axiom,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1386,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1370,f159]) ).
fof(f159,axiom,
! [X2,X34,X15,X13] :
( c_in(X34,c_minus(X13,X15,tc_set(X2)),X2)
| c_in(X34,X15,X2)
| ~ c_in(X34,X13,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f1370,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f1365,f1363]) ).
fof(f1363,axiom,
! [X40,X2,X34] :
( ~ c_in(X34,c_minus(c_Zorn_Ochain(X40,X2),c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2)))
| c_Zorn_Osucc(X40,X34,X2) != X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Osucc__not__equals_0) ).
fof(f1365,axiom,
c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f310,axiom,
! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET848-1 : 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
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:28:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.54 % (31533)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)
% 1.26/0.54 % (31525)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)
% 1.26/0.54 % (31539)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)
% 1.26/0.54 % (31513)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)
% 1.26/0.54 % (31532)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)
% 1.26/0.54 % (31517)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)
% 1.26/0.54 % (31523)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)
% 1.26/0.54 % (31540)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)
% 1.26/0.55 % (31514)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)
% 1.26/0.55 % (31519)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)
% 1.26/0.55 % (31515)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)
% 1.26/0.55 % (31514)Refutation not found, incomplete strategy% (31514)------------------------------
% 1.26/0.55 % (31514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.55 % (31540)Refutation not found, incomplete strategy% (31540)------------------------------
% 1.26/0.55 % (31540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.55 % (31536)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)
% 1.26/0.55 % (31512)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)
% 1.26/0.55 % (31531)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)
% 1.26/0.55 % (31537)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)
% 1.39/0.55 % (31529)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)
% 1.39/0.55 % (31514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.55 % (31519)Instruction limit reached!
% 1.39/0.55 % (31519)------------------------------
% 1.39/0.55 % (31519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55 % (31519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.55 % (31519)Termination reason: Unknown
% 1.39/0.55 % (31519)Termination phase: Equality proxy
% 1.39/0.55 % (31523)Instruction limit reached!
% 1.39/0.55 % (31523)------------------------------
% 1.39/0.55 % (31523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55 % (31523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.55 % (31523)Termination reason: Unknown
% 1.39/0.55 % (31523)Termination phase: Saturation
% 1.39/0.55
% 1.39/0.55 % (31523)Memory used [KB]: 7036
% 1.39/0.55 % (31523)Time elapsed: 0.006 s
% 1.39/0.55 % (31523)Instructions burned: 6 (million)
% 1.39/0.55 % (31523)------------------------------
% 1.39/0.55 % (31523)------------------------------
% 1.39/0.55
% 1.39/0.55 % (31519)Memory used [KB]: 2558
% 1.39/0.55 % (31519)Time elapsed: 0.004 s
% 1.39/0.55 % (31519)Instructions burned: 4 (million)
% 1.39/0.55 % (31519)------------------------------
% 1.39/0.55 % (31519)------------------------------
% 1.39/0.55 % (31511)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.39/0.55 % (31513)Instruction limit reached!
% 1.39/0.55 % (31513)------------------------------
% 1.39/0.55 % (31513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (31533)First to succeed.
% 1.39/0.56 % (31518)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)
% 1.39/0.56 % (31515)Refutation not found, incomplete strategy% (31515)------------------------------
% 1.39/0.56 % (31515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (31532)Refutation not found, incomplete strategy% (31532)------------------------------
% 1.39/0.56 % (31532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (31518)Refutation not found, incomplete strategy% (31518)------------------------------
% 1.39/0.56 % (31518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (31530)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)
% 1.39/0.56 % (31514)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.56
% 1.39/0.56 % (31514)Memory used [KB]: 6908
% 1.39/0.56 % (31514)Time elapsed: 0.132 s
% 1.39/0.56 % (31514)Instructions burned: 6 (million)
% 1.39/0.56 % (31514)------------------------------
% 1.39/0.56 % (31514)------------------------------
% 1.39/0.56 % (31528)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.39/0.56 % (31538)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)
% 1.39/0.56 % (31522)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)
% 1.39/0.56 % (31532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (31532)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.56
% 1.39/0.56 % (31532)Memory used [KB]: 6780
% 1.39/0.56 % (31532)Time elapsed: 0.129 s
% 1.39/0.56 % (31532)Instructions burned: 4 (million)
% 1.39/0.56 % (31532)------------------------------
% 1.39/0.56 % (31532)------------------------------
% 1.39/0.56 % (31521)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)
% 1.39/0.56 % (31513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (31513)Termination reason: Unknown
% 1.39/0.56 % (31513)Termination phase: General splitting
% 1.39/0.56
% 1.39/0.56 % (31513)Memory used [KB]: 2430
% 1.39/0.56 % (31513)Time elapsed: 0.005 s
% 1.39/0.56 % (31513)Instructions burned: 4 (million)
% 1.39/0.56 % (31513)------------------------------
% 1.39/0.56 % (31513)------------------------------
% 1.39/0.56 % (31515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (31515)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.56
% 1.39/0.56 % (31515)Memory used [KB]: 6908
% 1.39/0.56 % (31515)Time elapsed: 0.127 s
% 1.39/0.56 % (31515)Instructions burned: 5 (million)
% 1.39/0.56 % (31515)------------------------------
% 1.39/0.56 % (31515)------------------------------
% 1.39/0.56 % (31516)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.39/0.56 % (31520)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)
% 1.39/0.57 % (31538)Refutation not found, incomplete strategy% (31538)------------------------------
% 1.39/0.57 % (31538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.57 % (31540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.57 % (31540)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.57
% 1.39/0.57 % (31540)Memory used [KB]: 7419
% 1.39/0.57 % (31540)Time elapsed: 0.131 s
% 1.39/0.57 % (31540)Instructions burned: 12 (million)
% 1.39/0.57 % (31540)------------------------------
% 1.39/0.57 % (31540)------------------------------
% 1.39/0.57 % (31531)Instruction limit reached!
% 1.39/0.57 % (31531)------------------------------
% 1.39/0.57 % (31531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.57 % (31536)Refutation not found, incomplete strategy% (31536)------------------------------
% 1.39/0.57 % (31536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.57 % (31534)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)
% 1.39/0.57 % (31521)Instruction limit reached!
% 1.39/0.57 % (31521)------------------------------
% 1.39/0.57 % (31521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.57 % (31521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.57 % (31521)Termination reason: Unknown
% 1.39/0.57 % (31521)Termination phase: Property scanning
% 1.39/0.57
% 1.39/0.57 % (31521)Memory used [KB]: 2302
% 1.39/0.57 % (31521)Time elapsed: 0.006 s
% 1.39/0.57 % (31521)Instructions burned: 6 (million)
% 1.39/0.57 % (31521)------------------------------
% 1.39/0.57 % (31521)------------------------------
% 1.39/0.57 % (31533)Refutation found. Thanks to Tanya!
% 1.39/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.39/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.57 % (31533)------------------------------
% 1.39/0.57 % (31533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.57 % (31533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.57 % (31533)Termination reason: Refutation
% 1.39/0.57
% 1.39/0.57 % (31533)Memory used [KB]: 7036
% 1.39/0.57 % (31533)Time elapsed: 0.107 s
% 1.39/0.57 % (31533)Instructions burned: 11 (million)
% 1.39/0.57 % (31533)------------------------------
% 1.39/0.57 % (31533)------------------------------
% 1.39/0.57 % (31510)Success in time 0.22 s
%------------------------------------------------------------------------------