TSTP Solution File: SET865-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET865-2 : 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_sat --cores 0 -t %d %s
% Computer : n027.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 18:25:58 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 66 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 38 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,plain,
$false,
inference(subsumption_resolution,[],[f60,f40]) ).
fof(f40,plain,
c_in(c_Zorn_OHausdorff__1(v_S,t_a),sF2,sF3),
inference(resolution,[],[f30,f19]) ).
fof(f19,plain,
! [X0] : c_in(c_Zorn_OHausdorff__1(X0,t_a),c_Zorn_Omaxchain(X0,t_a),sF3),
inference(forward_demodulation,[],[f17,f14]) ).
fof(f14,plain,
sF3 = tc_set(sF0),
introduced(function_definition,[]) ).
fof(f17,plain,
! [X0] : c_in(c_Zorn_OHausdorff__1(X0,t_a),c_Zorn_Omaxchain(X0,t_a),tc_set(sF0)),
inference(superposition,[],[f6,f9]) ).
fof(f9,plain,
tc_set(t_a) = sF0,
introduced(function_definition,[]) ).
fof(f6,axiom,
! [X3,X5] : c_in(c_Zorn_OHausdorff__1(X5,X3),c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
fof(f30,plain,
! [X7] :
( ~ c_in(X7,c_Zorn_Omaxchain(v_S,t_a),sF3)
| c_in(X7,sF2,sF3) ),
inference(resolution,[],[f5,f25]) ).
fof(f25,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),sF2,tc_set(sF3)),
inference(forward_demodulation,[],[f24,f14]) ).
fof(f24,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),sF2,tc_set(tc_set(sF0))),
inference(forward_demodulation,[],[f20,f9]) ).
fof(f20,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),sF2,tc_set(tc_set(tc_set(t_a)))),
inference(superposition,[],[f8,f13]) ).
fof(f13,plain,
c_Zorn_Ochain(v_S,t_a) = sF2,
introduced(function_definition,[]) ).
fof(f8,axiom,
! [X3,X5] : c_lessequals(c_Zorn_Omaxchain(X5,X3),c_Zorn_Ochain(X5,X3),tc_set(tc_set(tc_set(X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
fof(f5,axiom,
! [X2,X3,X1,X4] :
( ~ c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f60,plain,
~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),sF2,sF3),
inference(resolution,[],[f59,f15]) ).
fof(f15,plain,
! [X0] :
( c_in(sF1(X0),v_S,sF0)
| ~ c_in(X0,sF2,sF3) ),
inference(definition_folding,[],[f1,f14,f9,f13,f9,f12]) ).
fof(f12,plain,
! [X0] : c_Union(X0,t_a) = sF1(X0),
introduced(function_definition,[]) ).
fof(f1,axiom,
! [X0] :
( c_in(c_Union(X0,t_a),v_S,tc_set(t_a))
| ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f59,plain,
~ c_in(sF1(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,sF0),
inference(duplicate_literal_removal,[],[f58]) ).
fof(f58,plain,
( ~ c_in(sF1(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,sF0)
| ~ c_in(sF1(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,sF0) ),
inference(resolution,[],[f57,f10]) ).
fof(f10,plain,
! [X0] :
( c_in(v_x(X0),v_S,sF0)
| ~ c_in(X0,v_S,sF0) ),
inference(definition_folding,[],[f2,f9,f9]) ).
fof(f2,axiom,
! [X0] :
( ~ c_in(X0,v_S,tc_set(t_a))
| c_in(v_x(X0),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f57,plain,
! [X0] :
( ~ c_in(v_x(sF1(c_Zorn_OHausdorff__1(X0,t_a))),X0,sF0)
| ~ c_in(sF1(c_Zorn_OHausdorff__1(X0,t_a)),v_S,sF0) ),
inference(subsumption_resolution,[],[f56,f11]) ).
fof(f11,plain,
! [X0] :
( v_x(X0) != X0
| ~ c_in(X0,v_S,sF0) ),
inference(definition_folding,[],[f4,f9]) ).
fof(f4,axiom,
! [X0] :
( ~ c_in(X0,v_S,tc_set(t_a))
| v_x(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f56,plain,
! [X0] :
( ~ c_in(v_x(sF1(c_Zorn_OHausdorff__1(X0,t_a))),X0,sF0)
| ~ c_in(sF1(c_Zorn_OHausdorff__1(X0,t_a)),v_S,sF0)
| v_x(sF1(c_Zorn_OHausdorff__1(X0,t_a))) = sF1(c_Zorn_OHausdorff__1(X0,t_a)) ),
inference(resolution,[],[f55,f16]) ).
fof(f16,plain,
! [X0] :
( c_lessequals(X0,v_x(X0),sF0)
| ~ c_in(X0,v_S,sF0) ),
inference(definition_folding,[],[f3,f9,f9]) ).
fof(f3,axiom,
! [X0] :
( ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(X0,v_x(X0),tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f55,plain,
! [X0,X1] :
( ~ c_lessequals(sF1(c_Zorn_OHausdorff__1(X0,t_a)),X1,sF0)
| ~ c_in(X1,X0,sF0)
| sF1(c_Zorn_OHausdorff__1(X0,t_a)) = X1 ),
inference(resolution,[],[f38,f19]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),sF3)
| sF1(X0) = X2
| ~ c_in(X2,X1,sF0)
| ~ c_lessequals(sF1(X0),X2,sF0) ),
inference(forward_demodulation,[],[f37,f14]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(sF0))
| sF1(X0) = X2
| ~ c_lessequals(sF1(X0),X2,sF0)
| ~ c_in(X2,X1,sF0) ),
inference(forward_demodulation,[],[f36,f12]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Union(X0,t_a),X2,sF0)
| sF1(X0) = X2
| ~ c_in(X2,X1,sF0)
| ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(sF0)) ),
inference(forward_demodulation,[],[f34,f12]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ c_in(X2,X1,sF0)
| c_Union(X0,t_a) = X2
| ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(sF0))
| ~ c_lessequals(c_Union(X0,t_a),X2,sF0) ),
inference(superposition,[],[f7,f9]) ).
fof(f7,axiom,
! [X3,X1,X6,X5] :
( ~ c_in(X1,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Union(X1,X3),X6,tc_set(X3))
| ~ c_in(X6,X5,tc_set(X3))
| c_Union(X1,X3) = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET865-2 : 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_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.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 14:42:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (6660)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (6670)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (6662)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (6662)Instruction limit reached!
% 0.20/0.53 % (6662)------------------------------
% 0.20/0.53 % (6662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 TRYING [1]
% 0.20/0.54 % (6659)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (6668)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (6679)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (6662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (6662)Termination reason: Unknown
% 0.20/0.54 % (6662)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (6662)Memory used [KB]: 5373
% 0.20/0.54 % (6662)Time elapsed: 0.122 s
% 0.20/0.54 % (6662)Instructions burned: 2 (million)
% 0.20/0.54 % (6662)------------------------------
% 0.20/0.54 % (6662)------------------------------
% 0.20/0.54 % (6667)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (6678)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (6667)First to succeed.
% 0.20/0.55 % (6667)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (6667)------------------------------
% 0.20/0.55 % (6667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (6667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (6667)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (6667)Memory used [KB]: 5373
% 0.20/0.55 % (6667)Time elapsed: 0.147 s
% 0.20/0.55 % (6667)Instructions burned: 3 (million)
% 0.20/0.55 % (6667)------------------------------
% 0.20/0.55 % (6667)------------------------------
% 0.20/0.55 % (6653)Success in time 0.191 s
%------------------------------------------------------------------------------