TSTP Solution File: SET865-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET865-2 : 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 : n007.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 09:19:34 EDT 2024
% Result : Unsatisfiable 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 40 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 24 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,plain,
$false,
inference(resolution,[],[f23,f12]) ).
fof(f12,plain,
c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(resolution,[],[f11,f6]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
fof(f11,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f10,f1]) ).
fof(f1,axiom,
! [X0] :
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f10,plain,
! [X2,X0,X1] :
( c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2))) ),
inference(resolution,[],[f5,f8]) ).
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/sandbox/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,X4,X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f23,plain,
~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(trivial_inequality_removal,[],[f22]) ).
fof(f22,plain,
( c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) != c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)) ),
inference(superposition,[],[f4,f17]) ).
fof(f17,plain,
c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) = v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),
inference(resolution,[],[f16,f12]) ).
fof(f16,plain,
( ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a))
| c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) = v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)) ),
inference(resolution,[],[f15,f6]) ).
fof(f15,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_Union(X0,t_a) = v_x(c_Union(X0,t_a))
| ~ c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f14]) ).
fof(f14,plain,
! [X0] :
( c_Union(X0,t_a) = v_x(c_Union(X0,t_a))
| ~ c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Union(X0,t_a),v_S,tc_set(t_a))
| ~ c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f13,f2]) ).
fof(f2,axiom,
! [X0] :
( c_in(v_x(X0),v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f13,plain,
! [X0,X1] :
( ~ c_in(v_x(c_Union(X0,t_a)),X1,tc_set(t_a))
| c_Union(X0,t_a) = v_x(c_Union(X0,t_a))
| ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
! [X0] :
( c_lessequals(X0,v_x(X0),tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f7,axiom,
! [X3,X1,X6,X5] :
( ~ c_lessequals(c_Union(X1,X3),X6,tc_set(X3))
| c_Union(X1,X3) = X6
| ~ c_in(X6,X5,tc_set(X3))
| ~ c_in(X1,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
fof(f4,axiom,
! [X0] :
( v_x(X0) != X0
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SET865-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 16:20:08 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (790)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (793)WARNING: value z3 for option sas not known
% 0.11/0.34 % (797)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)
% 0.11/0.34 % (791)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (794)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (793)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)
% 0.11/0.34 % (796)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)
% 0.11/0.34 % (795)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)
% 0.11/0.34 % (792)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 % (796)First to succeed.
% 0.11/0.34 % (796)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-790"
% 0.11/0.34 % (795)Also succeeded, but the first one will report.
% 0.11/0.34 % (793)Also succeeded, but the first one will report.
% 0.11/0.34 TRYING [1]
% 0.11/0.34 % (796)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (796)------------------------------
% 0.11/0.34 % (796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (796)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (796)Memory used [KB]: 754
% 0.11/0.34 % (796)Time elapsed: 0.004 s
% 0.11/0.34 % (796)Instructions burned: 4 (million)
% 0.11/0.34 % (790)Success in time 0.019 s
%------------------------------------------------------------------------------