TSTP Solution File: SET840-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET840-2 : 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 : n004.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 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 69 ( 17 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 56 ( 21 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f248,plain,
$false,
inference(resolution,[],[f194,f5]) ).
fof(f5,axiom,
! [X3,X8,X6] : c_in(X8,c_insert(X8,X6,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f194,plain,
! [X3] : ~ c_in(c_Union(v_S,t_b),c_insert(X3,c_emptyset,tc_set(t_b)),tc_set(t_b)),
inference(subsumption_resolution,[],[f191,f1]) ).
fof(f1,axiom,
! [X0] : ~ c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f191,plain,
! [X3] :
( ~ c_in(c_Union(v_S,t_b),c_insert(X3,c_emptyset,tc_set(t_b)),tc_set(t_b))
| c_lessequals(v_S,c_insert(X3,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))) ),
inference(superposition,[],[f8,f184]) ).
fof(f184,plain,
! [X0] : c_Union(v_S,t_b) = c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)),
inference(subsumption_resolution,[],[f182,f1]) ).
fof(f182,plain,
! [X0] :
( c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b)))
| c_Union(v_S,t_b) = c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)) ),
inference(resolution,[],[f157,f14]) ).
fof(f14,plain,
! [X0] :
( ~ c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_b)),c_Union(v_S,t_b),tc_set(t_b))
| c_lessequals(v_S,X0,tc_set(tc_set(t_b)))
| c_Union(v_S,t_b) = c_Main_OsubsetI__1(v_S,X0,tc_set(t_b)) ),
inference(resolution,[],[f9,f10]) ).
fof(f10,plain,
! [X0] :
( c_lessequals(c_Union(v_S,t_b),c_Main_OsubsetI__1(v_S,X0,tc_set(t_b)),tc_set(t_b))
| c_lessequals(v_S,X0,tc_set(tc_set(t_b))) ),
inference(resolution,[],[f7,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ c_in(X0,v_S,tc_set(t_b))
| c_lessequals(c_Union(v_S,t_b),X0,tc_set(t_b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f7,axiom,
! [X3,X1,X6] :
( c_in(c_Main_OsubsetI__1(X1,X6,X3),X1,X3)
| c_lessequals(X1,X6,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f9,axiom,
! [X3,X1,X6] :
( ~ c_lessequals(X6,X1,tc_set(X3))
| X1 = X6
| ~ c_lessequals(X1,X6,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f157,plain,
! [X4] : c_lessequals(c_Main_OsubsetI__1(v_S,c_insert(X4,c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),tc_set(t_b)),
inference(superposition,[],[f30,f128]) ).
fof(f128,plain,
! [X3] : v_S = c_insert(c_Main_OsubsetI__1(v_S,c_insert(X3,c_emptyset,tc_set(t_b)),tc_set(t_b)),v_S,tc_set(t_b)),
inference(resolution,[],[f80,f1]) ).
fof(f80,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| c_insert(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) = X0 ),
inference(resolution,[],[f60,f7]) ).
fof(f60,plain,
! [X6,X7,X5] :
( ~ c_in(X5,X6,X7)
| c_insert(X5,X6,X7) = X6 ),
inference(subsumption_resolution,[],[f54,f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))
| c_insert(X0,X1,X2) = X1 ),
inference(resolution,[],[f23,f9]) ).
fof(f23,plain,
! [X6,X7,X5] : c_lessequals(X5,c_insert(X6,X5,X7),tc_set(X7)),
inference(duplicate_literal_removal,[],[f21]) ).
fof(f21,plain,
! [X6,X7,X5] :
( c_lessequals(X5,c_insert(X6,X5,X7),tc_set(X7))
| c_lessequals(X5,c_insert(X6,X5,X7),tc_set(X7)) ),
inference(resolution,[],[f11,f7]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_insert(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f8,f4]) ).
fof(f4,axiom,
! [X3,X6,X7,X5] :
( c_in(X5,c_insert(X7,X6,X3),X3)
| ~ c_in(X5,X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f54,plain,
! [X6,X7,X5] :
( c_lessequals(c_insert(X5,X6,X7),X6,tc_set(X7))
| c_insert(X5,X6,X7) = X6
| ~ c_in(X5,X6,X7) ),
inference(superposition,[],[f8,f47]) ).
fof(f47,plain,
! [X3,X4,X5] :
( c_Main_OsubsetI__1(c_insert(X3,X4,X5),X4,X5) = X3
| c_insert(X3,X4,X5) = X4 ),
inference(subsumption_resolution,[],[f46,f23]) ).
fof(f46,plain,
! [X3,X4,X5] :
( c_insert(X3,X4,X5) = X4
| ~ c_lessequals(X4,c_insert(X3,X4,X5),tc_set(X5))
| c_Main_OsubsetI__1(c_insert(X3,X4,X5),X4,X5) = X3 ),
inference(resolution,[],[f43,f9]) ).
fof(f43,plain,
! [X2,X0,X1] :
( c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0 ),
inference(duplicate_literal_removal,[],[f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0
| c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2)) ),
inference(resolution,[],[f18,f8]) ).
fof(f18,plain,
! [X10,X8,X9,X7] :
( c_in(c_Main_OsubsetI__1(c_insert(X7,X8,X9),X10,X9),X8,X9)
| c_lessequals(c_insert(X7,X8,X9),X10,tc_set(X9))
| c_Main_OsubsetI__1(c_insert(X7,X8,X9),X10,X9) = X7 ),
inference(resolution,[],[f6,f7]) ).
fof(f6,axiom,
! [X3,X1,X7,X5] :
( ~ c_in(X5,c_insert(X7,X1,X3),X3)
| c_in(X5,X1,X3)
| X5 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f30,plain,
! [X2,X0,X1] : c_lessequals(X0,c_Union(c_insert(X0,X1,tc_set(X2)),X2),tc_set(X2)),
inference(resolution,[],[f28,f5]) ).
fof(f28,plain,
! [X10,X11,X9] :
( ~ c_in(X9,X10,tc_set(X11))
| c_lessequals(X9,c_Union(X10,X11),tc_set(X11)) ),
inference(duplicate_literal_removal,[],[f26]) ).
fof(f26,plain,
! [X10,X11,X9] :
( ~ c_in(X9,X10,tc_set(X11))
| c_lessequals(X9,c_Union(X10,X11),tc_set(X11))
| c_lessequals(X9,c_Union(X10,X11),tc_set(X11)) ),
inference(resolution,[],[f19,f7]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X3,c_Union(X1,X2),X2),X0,X2)
| c_lessequals(X3,c_Union(X1,X2),tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2)) ),
inference(resolution,[],[f3,f8]) ).
fof(f3,axiom,
! [X2,X3,X1,X4] :
( c_in(X1,c_Union(X4,X3),X3)
| ~ c_in(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f8,axiom,
! [X3,X1,X6] :
( ~ c_in(c_Main_OsubsetI__1(X1,X6,X3),X6,X3)
| c_lessequals(X1,X6,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET840-2 : 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
% 0.12/0.35 % Computer : n004.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Aug 30 14:20:04 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.46 % (24630)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)
% 0.20/0.46 % (24614)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)
% 0.20/0.46 % (24614)Instruction limit reached!
% 0.20/0.46 % (24614)------------------------------
% 0.20/0.46 % (24614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46 % (24614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46 % (24614)Termination reason: Unknown
% 0.20/0.46 % (24614)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (24614)Memory used [KB]: 5756
% 0.20/0.46 % (24614)Time elapsed: 0.060 s
% 0.20/0.46 % (24614)Instructions burned: 4 (million)
% 0.20/0.46 % (24614)------------------------------
% 0.20/0.46 % (24614)------------------------------
% 0.20/0.47 % (24630)First to succeed.
% 0.20/0.48 % (24630)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (24630)------------------------------
% 0.20/0.48 % (24630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (24630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (24630)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (24630)Memory used [KB]: 6012
% 0.20/0.48 % (24630)Time elapsed: 0.071 s
% 0.20/0.48 % (24630)Instructions burned: 13 (million)
% 0.20/0.48 % (24630)------------------------------
% 0.20/0.48 % (24630)------------------------------
% 0.20/0.48 % (24605)Success in time 0.122 s
%------------------------------------------------------------------------------