TSTP Solution File: SET822-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET822-1 : 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 : 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 : Tue Apr 30 15:13:19 EDT 2024
% Result : Unsatisfiable 0.10s 0.39s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 15 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1700,plain,
$false,
inference(resolution,[],[f1699,f176]) ).
fof(f176,axiom,
! [X2,X0,X15] : c_in(X0,c_insert(X0,X15,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f1699,plain,
~ c_in(v_f(v_b),c_insert(v_f(v_b),c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint),
inference(resolution,[],[f1698,f1358]) ).
fof(f1358,axiom,
v_P(v_f(v_b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1698,plain,
! [X0] :
( ~ v_P(v_f(X0))
| ~ c_in(v_f(X0),c_insert(v_f(X0),c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(superposition,[],[f1360,f1696]) ).
fof(f1696,plain,
! [X0] : v_f(X0) = v_x(X0,c_insert(v_f(X0),c_emptyset,tc_IntDef_Oint)),
inference(resolution,[],[f1693,f176]) ).
fof(f1693,plain,
! [X0,X1] :
( ~ c_in(v_f(X1),c_insert(X0,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
| v_x(X1,c_insert(X0,c_emptyset,tc_IntDef_Oint)) = X0 ),
inference(resolution,[],[f303,f1359]) ).
fof(f1359,axiom,
! [X41,X54] :
( c_in(v_x(X41,X54),X54,tc_IntDef_Oint)
| ~ c_in(v_f(X41),X54,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f303,axiom,
! [X2,X6,X4] :
( ~ c_in(X6,c_insert(X4,c_emptyset,X2),X2)
| X4 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f1360,axiom,
! [X41,X54] :
( ~ v_P(v_x(X41,X54))
| ~ c_in(v_f(X41),X54,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET822-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.33 % Computer : n011.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Apr 30 01:08:01 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.33 % (15580)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.37 % (15583)WARNING: value z3 for option sas not known
% 0.10/0.37 % (15587)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)
% 0.10/0.37 % (15586)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)
% 0.10/0.37 % (15583)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)
% 0.10/0.37 % (15584)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.37 % (15585)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)
% 0.10/0.38 % (15582)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.39 % (15581)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.39 % (15586)First to succeed.
% 0.10/0.39 % (15586)Refutation found. Thanks to Tanya!
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.39 % (15586)------------------------------
% 0.10/0.39 % (15586)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.39 % (15586)Termination reason: Refutation
% 0.10/0.39
% 0.10/0.39 % (15586)Memory used [KB]: 1961
% 0.10/0.39 % (15586)Time elapsed: 0.023 s
% 0.10/0.39 % (15586)Instructions burned: 41 (million)
% 0.10/0.39 % (15586)------------------------------
% 0.10/0.39 % (15586)------------------------------
% 0.10/0.39 % (15580)Success in time 0.062 s
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