TSTP Solution File: SET858-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET858-2 : 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 : n006.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 18:22:35 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 40 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 42 ( 20 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,plain,
$false,
inference(subsumption_resolution,[],[f30,f15]) ).
fof(f15,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f4,f2,f1,f12,f10]) ).
fof(f10,axiom,
! [X2,X6,X7,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X5,c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),X2),X6,tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).
fof(f12,plain,
! [X0] : ~ c_lessequals(c_Zorn_Osucc(X0,v_n,t_a),v_m,tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f6,f3,f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X0,tc_set(X2))
| c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f3,axiom,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f6,axiom,
! [X2,X4,X5] : c_lessequals(X4,c_Zorn_Osucc(X5,X4,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
fof(f1,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f4,axiom,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f30,plain,
c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f17,f2,f16,f14,f11]) ).
fof(f11,axiom,
! [X2,X8,X6,X5] :
( c_lessequals(c_Zorn_Osucc(X5,X8,X2),X6,tc_set(tc_set(X2)))
| X6 = X8
| ~ c_lessequals(X8,X6,tc_set(tc_set(X2)))
| ~ c_in(X8,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma2_0) ).
fof(f14,plain,
c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f4,f1,f2,f12,f7]) ).
fof(f7,axiom,
! [X2,X6,X7,X5] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).
fof(f16,plain,
c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f4,f2,f1,f12,f8]) ).
fof(f8,axiom,
! [X2,X6,X7,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),X6,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).
fof(f17,plain,
v_n != c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),
inference(unit_resulting_resolution,[],[f4,f2,f1,f12,f9]) ).
fof(f9,axiom,
! [X2,X6,X7,X5] :
( c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2) != X6
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET858-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:24:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (21645)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)
% 0.19/0.52 % (21641)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52 % (21665)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)
% 0.19/0.52 % (21666)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)
% 0.19/0.52 % (21644)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)
% 0.19/0.52 % (21648)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)
% 0.19/0.52 % (21668)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)
% 0.19/0.52 % (21648)Refutation not found, incomplete strategy% (21648)------------------------------
% 0.19/0.52 % (21648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (21642)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)
% 0.19/0.52 % (21645)First to succeed.
% 0.19/0.52 % (21663)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)
% 0.19/0.52 % (21662)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)
% 0.19/0.52 % (21662)Refutation not found, incomplete strategy% (21662)------------------------------
% 0.19/0.52 % (21662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (21662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (21662)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (21662)Memory used [KB]: 5756
% 0.19/0.52 % (21662)Time elapsed: 0.125 s
% 0.19/0.52 % (21662)Instructions burned: 1 (million)
% 0.19/0.52 % (21662)------------------------------
% 0.19/0.52 % (21662)------------------------------
% 0.19/0.53 % (21645)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (21645)------------------------------
% 0.19/0.53 % (21645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (21645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (21645)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (21645)Memory used [KB]: 5884
% 0.19/0.53 % (21645)Time elapsed: 0.126 s
% 0.19/0.53 % (21645)Instructions burned: 4 (million)
% 0.19/0.53 % (21645)------------------------------
% 0.19/0.53 % (21645)------------------------------
% 0.19/0.53 % (21640)Success in time 0.178 s
%------------------------------------------------------------------------------