TSTP Solution File: SET847-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET847-2 : 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 : n011.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 18:25:52 EDT 2022
% Result : Unsatisfiable 1.34s 0.55s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 40 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 23 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(subsumption_resolution,[],[f40,f43]) ).
fof(f43,plain,
! [X0,X1] : c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),
inference(subsumption_resolution,[],[f42,f6]) ).
fof(f6,axiom,
! [X2,X1] : c_lessequals(X1,X1,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f42,plain,
! [X0,X1] :
( c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1))
| ~ c_lessequals(c_Zorn_OTFin(X0,X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(tc_set(X1)))) ),
inference(resolution,[],[f9,f7]) ).
fof(f7,axiom,
! [X2,X6,X5] :
( c_in(c_Union(X5,tc_set(X2)),c_Zorn_OTFin(X6,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X5,c_Zorn_OTFin(X6,X2),tc_set(tc_set(tc_set(X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f9,axiom,
! [X2,X6] :
( ~ c_in(c_Union(c_Zorn_OTFin(X6,X2),tc_set(X2)),c_Zorn_OTFin(X6,X2),tc_set(tc_set(X2)))
| c_Union(c_Zorn_OTFin(X6,X2),tc_set(X2)) = c_Zorn_Osucc(X6,c_Union(c_Zorn_OTFin(X6,X2),tc_set(X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).
fof(f40,plain,
c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(resolution,[],[f38,f6]) ).
fof(f38,plain,
! [X1] :
( ~ c_lessequals(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| c_Zorn_Osucc(v_S,c_Union(X1,tc_set(t_a)),t_a) != c_Union(X1,tc_set(t_a)) ),
inference(resolution,[],[f36,f7]) ).
fof(f36,plain,
! [X1] :
( ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(v_S,X1,t_a) != X1 ),
inference(resolution,[],[f34,f8]) ).
fof(f8,axiom,
! [X2,X0,X6] :
( c_in(X0,c_Zorn_Ochain(X6,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X6,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
fof(f34,plain,
! [X1] :
( ~ c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(v_S,X1,t_a) != X1 ),
inference(subsumption_resolution,[],[f33,f2]) ).
fof(f2,axiom,
! [X2,X4] : ~ c_in(X4,c_emptyset,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f33,plain,
! [X1] :
( c_Zorn_Osucc(v_S,X1,t_a) != X1
| c_in(X1,c_emptyset,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f31,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f31,plain,
! [X0] :
( ~ c_in(X0,c_minus(c_Zorn_Ochain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(v_S,X0,t_a) != X0 ),
inference(superposition,[],[f10,f22]) ).
fof(f22,plain,
c_emptyset = c_Zorn_Omaxchain(v_S,t_a),
inference(resolution,[],[f14,f13]) ).
fof(f13,plain,
! [X2] : c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X2,tc_set(tc_set(tc_set(t_a)))),
inference(resolution,[],[f4,f11]) ).
fof(f11,axiom,
! [X7] : ~ c_in(X7,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f4,axiom,
! [X2,X3,X1] :
( c_in(c_Main_OsubsetI__1(X1,X3,X2),X1,X2)
| c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f14,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 ),
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X2,X1] : c_lessequals(c_emptyset,X1,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f5,axiom,
! [X2,X3,X1] :
( ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X1,X3,tc_set(X2))
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f10,axiom,
! [X2,X0,X6] :
( ~ c_in(X0,c_minus(c_Zorn_Ochain(X6,X2),c_Zorn_Omaxchain(X6,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2)))
| c_Zorn_Osucc(X6,X0,X2) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__not__equals_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET847-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:21:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.23/0.52 % (16366)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.34/0.53 % (16374)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)
% 1.34/0.53 % (16364)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)
% 1.34/0.54 % (16383)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.34/0.54 % (16366)Instruction limit reached!
% 1.34/0.54 % (16366)------------------------------
% 1.34/0.54 % (16366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (16366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (16366)Termination reason: Unknown
% 1.34/0.54 % (16366)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (16366)Memory used [KB]: 5373
% 1.34/0.54 % (16366)Time elapsed: 0.003 s
% 1.34/0.54 % (16366)Instructions burned: 2 (million)
% 1.34/0.54 % (16366)------------------------------
% 1.34/0.54 % (16366)------------------------------
% 1.34/0.55 % (16375)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.34/0.55 % (16380)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.34/0.55 TRYING [1]
% 1.34/0.55 TRYING [2]
% 1.34/0.55 % (16374)First to succeed.
% 1.34/0.55 % (16361)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.34/0.55 TRYING [1]
% 1.34/0.55 TRYING [2]
% 1.34/0.55 % (16384)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.34/0.55 % (16374)Refutation found. Thanks to Tanya!
% 1.34/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.34/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.55 % (16374)------------------------------
% 1.34/0.55 % (16374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (16374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (16374)Termination reason: Refutation
% 1.34/0.55
% 1.34/0.55 % (16374)Memory used [KB]: 5500
% 1.34/0.55 % (16374)Time elapsed: 0.131 s
% 1.34/0.55 % (16374)Instructions burned: 4 (million)
% 1.34/0.55 % (16374)------------------------------
% 1.34/0.55 % (16374)------------------------------
% 1.34/0.55 % (16357)Success in time 0.19 s
%------------------------------------------------------------------------------