TSTP Solution File: SET821-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET821-1 : 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 : n019.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 09:19:03 EDT 2024
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 25 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1709,plain,
$false,
inference(resolution,[],[f1704,f1389]) ).
fof(f1389,plain,
! [X0] : ~ c_less(X0,X0,tc_IntDef_Oint),
inference(resolution,[],[f123,f352]) ).
fof(f352,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f123,axiom,
! [X2,X0] :
( ~ class_Orderings_Oorder(X2)
| ~ c_less(X0,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f1704,plain,
c_less(v_b,v_b,tc_IntDef_Oint),
inference(backward_demodulation,[],[f1358,f1700]) ).
fof(f1700,plain,
v_a = v_b,
inference(resolution,[],[f1699,f1389]) ).
fof(f1699,plain,
( c_less(v_b,v_b,tc_IntDef_Oint)
| v_a = v_b ),
inference(superposition,[],[f1359,f1697]) ).
fof(f1697,plain,
( v_b = v_c
| v_a = v_b ),
inference(resolution,[],[f1696,f176]) ).
fof(f176,axiom,
! [X2,X0,X15] : c_in(X0,c_insert(X0,X15,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f1696,plain,
! [X0] :
( ~ c_in(v_b,c_insert(X0,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
| v_c = X0
| v_a = X0 ),
inference(resolution,[],[f1693,f303]) ).
fof(f303,axiom,
! [X2,X6,X4] :
( ~ c_in(X6,c_insert(X4,c_emptyset,X2),X2)
| X4 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f1693,plain,
! [X0] :
( c_in(v_a,c_insert(X0,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_in(v_b,c_insert(X0,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
| v_c = X0 ),
inference(resolution,[],[f303,f1360]) ).
fof(f1360,axiom,
! [X41] :
( c_in(v_c,X41,tc_IntDef_Oint)
| ~ c_in(v_b,X41,tc_IntDef_Oint)
| c_in(v_a,X41,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1359,axiom,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1358,axiom,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET821-1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:42:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (1393)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (1396)WARNING: value z3 for option sas not known
% 0.22/0.41 % (1394)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.41 % (1397)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.41 % (1395)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.41 % (1396)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)
% 0.22/0.41 % (1398)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)
% 0.22/0.41 % (1399)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)
% 0.22/0.41 % (1400)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)
% 0.22/0.43 % (1399)First to succeed.
% 0.22/0.43 % (1399)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1393"
% 0.22/0.44 % (1399)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (1399)------------------------------
% 0.22/0.44 % (1399)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.44 % (1399)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (1399)Memory used [KB]: 1963
% 0.22/0.44 % (1399)Time elapsed: 0.027 s
% 0.22/0.44 % (1399)Instructions burned: 41 (million)
% 0.22/0.44 % (1393)Success in time 0.072 s
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