TSTP Solution File: SET839-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET839-2 : 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 : n028.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 18:22:29 EDT 2022
% Result : Unsatisfiable 1.17s 0.70s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 28 ( 2 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 12 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50,plain,
$false,
inference(unit_resulting_resolution,[],[f22,f20,f14,f3,f14,f13]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sQ0_eqProxy(X4,X5)
| ~ c_in(X0,X2,X4)
| ~ sQ0_eqProxy(X0,X1)
| c_in(X1,X3,X5)
| ~ sQ0_eqProxy(X2,X3) ),
inference(equality_proxy_axiom,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f3,axiom,
! [X2,X3,X4] : c_in(X2,c_insert(X2,X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f14,plain,
! [X0] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f7]) ).
fof(f20,plain,
! [X0] : ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference(unit_resulting_resolution,[],[f1,f5]) ).
fof(f5,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(f1,axiom,
! [X0] : ~ c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f22,plain,
! [X0,X1] : sQ0_eqProxy(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_Main_OsubsetI__1(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a))),
inference(unit_resulting_resolution,[],[f18,f18,f8]) ).
fof(f8,plain,
! [X3,X4,X5] :
( sQ0_eqProxy(X3,X5)
| ~ c_lessequals(X3,X5,tc_set(X4))
| ~ c_lessequals(X5,X3,tc_set(X4)) ),
inference(equality_proxy_replacement,[],[f6,f7]) ).
fof(f6,axiom,
! [X3,X4,X5] :
( ~ c_lessequals(X3,X5,tc_set(X4))
| X3 = X5
| ~ c_lessequals(X5,X3,tc_set(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f18,plain,
! [X0,X1] : c_lessequals(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_Main_OsubsetI__1(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a)),tc_set(t_a)),
inference(unit_resulting_resolution,[],[f17,f17,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(X0,X1,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f17,plain,
! [X0] : c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),v_S,tc_set(t_a)),
inference(unit_resulting_resolution,[],[f1,f4]) ).
fof(f4,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % 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 : n028.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 14:32:33 EDT 2022
% 0.14/0.34 % CPUTime :
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% 1.17/0.69 % (2516)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 (2998ds/81Mi)
% 1.17/0.69 % (2508)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 1.17/0.69 % (2501)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 (2998ds/6Mi)
% 1.17/0.70 % (2516)Refutation not found, incomplete strategy% (2516)------------------------------
% 1.17/0.70 % (2516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.70 % (2516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.17/0.70 % (2516)Termination reason: Refutation not found, incomplete strategy
% 1.17/0.70
% 1.17/0.70 % (2516)Memory used [KB]: 5756
% 1.17/0.70 % (2516)Time elapsed: 0.068 s
% 1.17/0.70 % (2516)Instructions burned: 1 (million)
% 1.17/0.70 % (2516)------------------------------
% 1.17/0.70 % (2516)------------------------------
% 1.17/0.70 % (2499)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 (2998ds/3Mi)
% 1.17/0.70 % (2517)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 (2998ds/71Mi)
% 1.17/0.70 % (2499)Instruction limit reached!
% 1.17/0.70 % (2499)------------------------------
% 1.17/0.70 % (2499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.70 % (2501)First to succeed.
% 1.17/0.70 % (2515)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 (2998ds/46Mi)
% 1.17/0.70 % (2508)Also succeeded, but the first one will report.
% 1.17/0.70 % (2491)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99966Mi)
% 1.17/0.70 % (2501)Refutation found. Thanks to Tanya!
% 1.17/0.70 % SZS status Unsatisfiable for theBenchmark
% 1.17/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 1.17/0.70 % (2501)------------------------------
% 1.17/0.70 % (2501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.70 % (2501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.17/0.70 % (2501)Termination reason: Refutation
% 1.17/0.70
% 1.17/0.70 % (2501)Memory used [KB]: 5884
% 1.17/0.70 % (2501)Time elapsed: 0.133 s
% 1.17/0.70 % (2501)Instructions burned: 2 (million)
% 1.17/0.70 % (2501)------------------------------
% 1.17/0.70 % (2501)------------------------------
% 1.17/0.70 % (2324)Success in time 0.352 s
%------------------------------------------------------------------------------