TSTP Solution File: SET843-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET843-2 : 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 : n001.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 18:22:30 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 76 ( 18 unt; 0 def)
% Number of atoms : 163 ( 35 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 169 ( 82 ~; 84 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f147,plain,
$false,
inference(avatar_sat_refutation,[],[f27,f28,f92,f110,f146]) ).
fof(f146,plain,
( spl5_2
| ~ spl5_4 ),
inference(avatar_contradiction_clause,[],[f145]) ).
fof(f145,plain,
( $false
| spl5_2
| ~ spl5_4 ),
inference(subsumption_resolution,[],[f144,f135]) ).
fof(f135,plain,
( ~ c_lessequals(sF3,v_m,sF2)
| spl5_2 ),
inference(subsumption_resolution,[],[f134,f25]) ).
fof(f25,plain,
( v_m != sF3
| spl5_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl5_2
<=> v_m = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f134,plain,
( ~ c_lessequals(sF3,v_m,sF2)
| v_m = sF3 ),
inference(resolution,[],[f133,f47]) ).
fof(f47,plain,
! [X2,X3] :
( ~ c_lessequals(X3,X2,sF2)
| X2 = X3
| ~ c_lessequals(X2,X3,sF2) ),
inference(superposition,[],[f2,f13]) ).
fof(f13,plain,
sF2 = tc_set(sF1),
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f133,plain,
c_lessequals(v_m,sF3,sF2),
inference(resolution,[],[f117,f14]) ).
fof(f14,plain,
c_in(v_m,sF0,sF2),
inference(definition_folding,[],[f8,f13,f12,f11]) ).
fof(f11,plain,
c_Zorn_OTFin(v_S,t_a) = sF0,
introduced(function_definition,[]) ).
fof(f12,plain,
tc_set(t_a) = sF1,
introduced(function_definition,[]) ).
fof(f8,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f117,plain,
! [X1] :
( ~ c_in(X1,sF0,sF2)
| c_lessequals(X1,sF3,sF2) ),
inference(forward_demodulation,[],[f116,f13]) ).
fof(f116,plain,
! [X1] :
( c_lessequals(X1,sF3,sF2)
| ~ c_in(X1,sF0,tc_set(sF1)) ),
inference(forward_demodulation,[],[f115,f13]) ).
fof(f115,plain,
! [X1] :
( c_lessequals(X1,sF3,tc_set(sF1))
| ~ c_in(X1,sF0,tc_set(sF1)) ),
inference(superposition,[],[f1,f15]) ).
fof(f15,plain,
sF3 = c_Union(sF0,sF1),
introduced(function_definition,[]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,c_Union(X1,X2),tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
fof(f144,plain,
( c_lessequals(sF3,v_m,sF2)
| ~ spl5_4 ),
inference(resolution,[],[f142,f109]) ).
fof(f109,plain,
( ! [X0] :
( ~ c_in(X0,sF0,sF2)
| c_lessequals(X0,v_m,sF2) )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl5_4
<=> ! [X0] :
( c_lessequals(X0,v_m,sF2)
| ~ c_in(X0,sF0,sF2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f142,plain,
c_in(sF3,sF0,sF2),
inference(subsumption_resolution,[],[f141,f3]) ).
fof(f3,axiom,
! [X2,X1] : c_lessequals(X1,X1,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f141,plain,
( ~ c_lessequals(sF0,sF0,tc_set(sF2))
| c_in(sF3,sF0,sF2) ),
inference(superposition,[],[f71,f15]) ).
fof(f71,plain,
! [X0] :
( c_in(c_Union(X0,sF1),sF0,sF2)
| ~ c_lessequals(X0,sF0,tc_set(sF2)) ),
inference(forward_demodulation,[],[f70,f13]) ).
fof(f70,plain,
! [X0] :
( c_in(c_Union(X0,sF1),sF0,tc_set(sF1))
| ~ c_lessequals(X0,sF0,tc_set(sF2)) ),
inference(forward_demodulation,[],[f69,f13]) ).
fof(f69,plain,
! [X0] :
( ~ c_lessequals(X0,sF0,tc_set(tc_set(sF1)))
| c_in(c_Union(X0,sF1),sF0,tc_set(sF1)) ),
inference(forward_demodulation,[],[f68,f12]) ).
fof(f68,plain,
! [X0] :
( c_in(c_Union(X0,tc_set(t_a)),sF0,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,sF0,tc_set(tc_set(sF1))) ),
inference(forward_demodulation,[],[f65,f12]) ).
fof(f65,plain,
! [X0] :
( ~ c_lessequals(X0,sF0,tc_set(tc_set(tc_set(t_a))))
| c_in(c_Union(X0,tc_set(t_a)),sF0,tc_set(tc_set(t_a))) ),
inference(superposition,[],[f6,f11]) ).
fof(f6,axiom,
! [X2,X4,X5] :
( c_in(c_Union(X5,tc_set(X2)),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X5,c_Zorn_OTFin(X4,X2),tc_set(tc_set(tc_set(X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f110,plain,
( ~ spl5_1
| spl5_4 ),
inference(avatar_split_clause,[],[f106,f108,f20]) ).
fof(f20,plain,
( spl5_1
<=> v_m = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f106,plain,
! [X0] :
( c_lessequals(X0,v_m,sF2)
| v_m != sF4
| ~ c_in(X0,sF0,sF2) ),
inference(forward_demodulation,[],[f105,f13]) ).
fof(f105,plain,
! [X0] :
( ~ c_in(X0,sF0,sF2)
| c_lessequals(X0,v_m,tc_set(sF1))
| v_m != sF4 ),
inference(forward_demodulation,[],[f104,f11]) ).
fof(f104,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF2)
| v_m != sF4
| c_lessequals(X0,v_m,tc_set(sF1)) ),
inference(subsumption_resolution,[],[f103,f14]) ).
fof(f103,plain,
! [X0] :
( ~ c_in(v_m,sF0,sF2)
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF2)
| c_lessequals(X0,v_m,tc_set(sF1))
| v_m != sF4 ),
inference(forward_demodulation,[],[f102,f11]) ).
fof(f102,plain,
! [X0] :
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),sF2)
| v_m != sF4
| c_lessequals(X0,v_m,tc_set(sF1))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF2) ),
inference(forward_demodulation,[],[f101,f13]) ).
fof(f101,plain,
! [X0] :
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(sF1))
| c_lessequals(X0,v_m,tc_set(sF1))
| v_m != sF4
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF2) ),
inference(forward_demodulation,[],[f100,f13]) ).
fof(f100,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(sF1))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(sF1))
| c_lessequals(X0,v_m,tc_set(sF1))
| v_m != sF4 ),
inference(forward_demodulation,[],[f99,f12]) ).
fof(f99,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(sF1))
| v_m != sF4
| c_lessequals(X0,v_m,tc_set(sF1)) ),
inference(forward_demodulation,[],[f98,f12]) ).
fof(f98,plain,
! [X0] :
( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| v_m != sF4
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(sF1))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(forward_demodulation,[],[f77,f12]) ).
fof(f77,plain,
! [X0] :
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m != sF4
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[],[f7,f16]) ).
fof(f16,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = sF4,
introduced(function_definition,[]) ).
fof(f7,axiom,
! [X2,X6,X7,X4] :
( c_Zorn_Osucc(X4,X6,X2) != X6
| ~ c_in(X6,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).
fof(f92,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f91,plain,
( $false
| spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f90,f21]) ).
fof(f21,plain,
( v_m != sF4
| spl5_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f90,plain,
( v_m = sF4
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f86,f36]) ).
fof(f36,plain,
c_lessequals(v_m,sF4,sF2),
inference(forward_demodulation,[],[f35,f13]) ).
fof(f35,plain,
c_lessequals(v_m,sF4,tc_set(sF1)),
inference(forward_demodulation,[],[f32,f12]) ).
fof(f32,plain,
c_lessequals(v_m,sF4,tc_set(tc_set(t_a))),
inference(superposition,[],[f4,f16]) ).
fof(f4,axiom,
! [X2,X3,X4] : c_lessequals(X3,c_Zorn_Osucc(X4,X3,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
fof(f86,plain,
( ~ c_lessequals(v_m,sF4,sF2)
| v_m = sF4
| ~ spl5_2 ),
inference(resolution,[],[f47,f76]) ).
fof(f76,plain,
( c_lessequals(sF4,v_m,sF2)
| ~ spl5_2 ),
inference(resolution,[],[f42,f64]) ).
fof(f64,plain,
c_in(sF4,sF0,sF2),
inference(forward_demodulation,[],[f63,f11]) ).
fof(f63,plain,
c_in(sF4,c_Zorn_OTFin(v_S,t_a),sF2),
inference(forward_demodulation,[],[f62,f13]) ).
fof(f62,plain,
c_in(sF4,c_Zorn_OTFin(v_S,t_a),tc_set(sF1)),
inference(subsumption_resolution,[],[f61,f14]) ).
fof(f61,plain,
( c_in(sF4,c_Zorn_OTFin(v_S,t_a),tc_set(sF1))
| ~ c_in(v_m,sF0,sF2) ),
inference(forward_demodulation,[],[f60,f11]) ).
fof(f60,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),sF2)
| c_in(sF4,c_Zorn_OTFin(v_S,t_a),tc_set(sF1)) ),
inference(forward_demodulation,[],[f59,f13]) ).
fof(f59,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(sF1))
| c_in(sF4,c_Zorn_OTFin(v_S,t_a),tc_set(sF1)) ),
inference(forward_demodulation,[],[f58,f12]) ).
fof(f58,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(sF4,c_Zorn_OTFin(v_S,t_a),tc_set(sF1)) ),
inference(forward_demodulation,[],[f48,f12]) ).
fof(f48,plain,
( c_in(sF4,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(superposition,[],[f5,f16]) ).
fof(f5,axiom,
! [X2,X3,X4] :
( c_in(c_Zorn_Osucc(X4,X3,X2),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
fof(f42,plain,
( ! [X0] :
( ~ c_in(X0,sF0,sF2)
| c_lessequals(X0,v_m,sF2) )
| ~ spl5_2 ),
inference(forward_demodulation,[],[f41,f13]) ).
fof(f41,plain,
( ! [X0] :
( c_lessequals(X0,v_m,sF2)
| ~ c_in(X0,sF0,tc_set(sF1)) )
| ~ spl5_2 ),
inference(forward_demodulation,[],[f38,f13]) ).
fof(f38,plain,
( ! [X0] :
( c_lessequals(X0,v_m,tc_set(sF1))
| ~ c_in(X0,sF0,tc_set(sF1)) )
| ~ spl5_2 ),
inference(superposition,[],[f1,f29]) ).
fof(f29,plain,
( v_m = c_Union(sF0,sF1)
| ~ spl5_2 ),
inference(backward_demodulation,[],[f15,f26]) ).
fof(f26,plain,
( v_m = sF3
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f28,plain,
( ~ spl5_2
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f17,f20,f24]) ).
fof(f17,plain,
( v_m != sF4
| v_m != sF3 ),
inference(definition_folding,[],[f9,f16,f15,f12,f11]) ).
fof(f9,axiom,
( v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| v_m != c_Zorn_Osucc(v_S,v_m,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f27,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f18,f24,f20]) ).
fof(f18,plain,
( v_m = sF3
| v_m = sF4 ),
inference(definition_folding,[],[f10,f15,f12,f11,f16]) ).
fof(f10,axiom,
( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
| v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET843-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % 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 : n001.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 14:45:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (1764)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)
% 0.19/0.49 % (1764)Instruction limit reached!
% 0.19/0.49 % (1764)------------------------------
% 0.19/0.49 % (1764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (1780)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)
% 0.19/0.49 % (1764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (1764)Termination reason: Unknown
% 0.19/0.49 % (1764)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (1764)Memory used [KB]: 5884
% 0.19/0.49 % (1764)Time elapsed: 0.091 s
% 0.19/0.49 % (1764)Instructions burned: 7 (million)
% 0.19/0.49 % (1764)------------------------------
% 0.19/0.49 % (1764)------------------------------
% 0.19/0.49 % (1780)Refutation not found, incomplete strategy% (1780)------------------------------
% 0.19/0.49 % (1780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (1772)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)
% 0.19/0.49 % (1780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (1780)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (1780)Memory used [KB]: 5884
% 0.19/0.49 % (1780)Time elapsed: 0.103 s
% 0.19/0.49 % (1780)Instructions burned: 3 (million)
% 0.19/0.49 % (1780)------------------------------
% 0.19/0.49 % (1780)------------------------------
% 0.19/0.50 % (1753)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50 % (1772)Refutation not found, incomplete strategy% (1772)------------------------------
% 0.19/0.50 % (1772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (1772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (1772)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (1772)Memory used [KB]: 10362
% 0.19/0.50 % (1772)Time elapsed: 0.100 s
% 0.19/0.50 % (1772)Instructions burned: 2 (million)
% 0.19/0.50 % (1772)------------------------------
% 0.19/0.50 % (1772)------------------------------
% 0.19/0.50 % (1753)First to succeed.
% 0.19/0.50 % (1753)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (1753)------------------------------
% 0.19/0.50 % (1753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (1753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (1753)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (1753)Memory used [KB]: 5884
% 0.19/0.50 % (1753)Time elapsed: 0.097 s
% 0.19/0.50 % (1753)Instructions burned: 4 (million)
% 0.19/0.50 % (1753)------------------------------
% 0.19/0.50 % (1753)------------------------------
% 0.19/0.50 % (1752)Success in time 0.152 s
%------------------------------------------------------------------------------