TSTP Solution File: SET843-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET843-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Sun May 5 09:19:12 EDT 2024
% Result : Unsatisfiable 0.10s 0.28s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 65 ( 26 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 36 ~; 37 |; 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 : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,plain,
$false,
inference(trivial_inequality_removal,[],[f60]) ).
fof(f60,plain,
v_m != v_m,
inference(superposition,[],[f31,f59]) ).
fof(f59,plain,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(resolution,[],[f58,f8]) ).
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(f58,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f57]) ).
fof(f57,plain,
( v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| ~ c_in(v_m,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(resolution,[],[f56,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(f56,plain,
! [X0] :
( ~ c_lessequals(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| v_m = c_Union(X0,tc_set(t_a))
| ~ c_in(v_m,X0,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f46,f6]) ).
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(f46,plain,
! [X0] :
( ~ c_in(c_Union(X0,tc_set(t_a)),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)))
| v_m = c_Union(X0,tc_set(t_a))
| ~ c_in(v_m,X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f42,f14]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Union(X1,X2),X0,tc_set(X2))
| c_Union(X1,X2) = X0
| ~ c_in(X0,X1,tc_set(X2)) ),
inference(resolution,[],[f2,f1]) ).
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(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(f42,plain,
! [X0] :
( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ 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(tc_set(t_a))) ),
inference(trivial_inequality_removal,[],[f41]) ).
fof(f41,plain,
! [X0] :
( v_m != v_m
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ 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(tc_set(t_a))) ),
inference(superposition,[],[f7,f29]) ).
fof(f29,plain,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
inference(resolution,[],[f28,f8]) ).
fof(f28,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
inference(duplicate_literal_removal,[],[f27]) ).
fof(f27,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_Osucc(v_S,v_m,t_a)
| v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
inference(resolution,[],[f5,f24]) ).
fof(f24,plain,
! [X0] :
( ~ c_in(c_Zorn_Osucc(X0,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_Osucc(X0,v_m,t_a)
| v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
inference(resolution,[],[f16,f4]) ).
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(f16,plain,
! [X0] :
( ~ c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| v_m = X0
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
inference(resolution,[],[f2,f12]) ).
fof(f12,plain,
! [X0] :
( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
inference(superposition,[],[f1,f10]) ).
fof(f10,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_2) ).
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(f7,axiom,
! [X2,X6,X7,X4] :
( c_Zorn_Osucc(X4,X6,X2) != X6
| c_lessequals(X7,X6,tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).
fof(f31,plain,
v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(trivial_inequality_removal,[],[f30]) ).
fof(f30,plain,
( v_m != v_m
| v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
inference(backward_demodulation,[],[f9,f29]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET843-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.26 % Computer : n002.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Fri May 3 16:57:52 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % (27734)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.27 % (27737)WARNING: value z3 for option sas not known
% 0.10/0.27 % (27738)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.27 % (27739)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.10/0.27 % (27735)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.27 % (27741)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.10/0.27 % (27737)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.27 % (27740)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.10/0.27 % (27736)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.27 TRYING [1]
% 0.10/0.28 TRYING [2]
% 0.10/0.28 % (27740)First to succeed.
% 0.10/0.28 % (27740)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27734"
% 0.10/0.28 % (27739)Also succeeded, but the first one will report.
% 0.10/0.28 % (27741)Also succeeded, but the first one will report.
% 0.10/0.28 TRYING [1]
% 0.10/0.28 % (27740)Refutation found. Thanks to Tanya!
% 0.10/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.28 % (27740)------------------------------
% 0.10/0.28 % (27740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.10/0.28 % (27740)Termination reason: Refutation
% 0.10/0.28
% 0.10/0.28 % (27740)Memory used [KB]: 836
% 0.10/0.28 % (27740)Time elapsed: 0.004 s
% 0.10/0.28 % (27740)Instructions burned: 7 (million)
% 0.10/0.28 % (27734)Success in time 0.013 s
%------------------------------------------------------------------------------