TSTP Solution File: SET144-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET144-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 15:06:05 EDT 2024
% Result : Unsatisfiable 115.12s 16.80s
% Output : Refutation 115.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 35 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 14 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136087,plain,
$false,
inference(trivial_inequality_removal,[],[f136086]) ).
fof(f136086,plain,
intersection(x,y) != intersection(x,y),
inference(superposition,[],[f113,f128027]) ).
fof(f128027,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(subsumption_resolution,[],[f127634,f127037]) ).
fof(f127037,plain,
! [X0,X1] : subclass(intersection(X0,X1),intersection(X1,X0)),
inference(duplicate_literal_removal,[],[f126576]) ).
fof(f126576,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),intersection(X1,X0))
| subclass(intersection(X0,X1),intersection(X1,X0)) ),
inference(resolution,[],[f12864,f133]) ).
fof(f133,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f12864,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(intersection(X0,X1),intersection(X2,X0)),X2)
| subclass(intersection(X0,X1),intersection(X2,X0)) ),
inference(duplicate_literal_removal,[],[f12803]) ).
fof(f12803,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(intersection(X0,X1),intersection(X2,X0)),X2)
| subclass(intersection(X0,X1),intersection(X2,X0))
| subclass(intersection(X0,X1),intersection(X2,X0)) ),
inference(resolution,[],[f748,f128]) ).
fof(f128,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f748,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f23,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f127634,plain,
! [X0,X1] :
( ~ subclass(intersection(X0,X1),intersection(X1,X0))
| intersection(X0,X1) = intersection(X1,X0) ),
inference(resolution,[],[f127037,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f113,axiom,
intersection(x,y) != intersection(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_intersection_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET144-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 01:28:25 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (25899)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35 % (25907)WARNING: value z3 for option sas not known
% 0.14/0.35 % (25907)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)
% 0.14/0.36 % (25905)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (25906)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (25908)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (25910)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)
% 0.14/0.36 % (25912)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)
% 0.14/0.36 % (25913)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)
% 0.19/0.39 TRYING [1]
% 0.19/0.40 TRYING [2]
% 0.19/0.47 TRYING [3]
% 1.30/0.52 TRYING [1]
% 1.30/0.52 TRYING [2]
% 1.52/0.61 TRYING [3]
% 1.52/0.61 TRYING [4]
% 3.61/0.93 TRYING [5]
% 5.21/1.08 TRYING [1]
% 5.21/1.09 TRYING [2]
% 5.21/1.10 TRYING [3]
% 5.53/1.14 TRYING [4]
% 5.85/1.21 TRYING [4]
% 6.39/1.27 TRYING [5]
% 9.42/1.70 TRYING [6]
% 18.17/2.92 TRYING [6]
% 18.21/2.93 TRYING [7]
% 33.89/5.20 TRYING [8]
% 59.31/8.80 TRYING [5]
% 103.43/15.08 TRYING [9]
% 115.12/16.75 % (25907)First to succeed.
% 115.12/16.80 % (25907)Refutation found. Thanks to Tanya!
% 115.12/16.80 % SZS status Unsatisfiable for theBenchmark
% 115.12/16.80 % SZS output start Proof for theBenchmark
% See solution above
% 115.12/16.80 % (25907)------------------------------
% 115.12/16.80 % (25907)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 115.12/16.80 % (25907)Termination reason: Refutation
% 115.12/16.80
% 115.12/16.80 % (25907)Memory used [KB]: 315169
% 115.12/16.80 % (25907)Time elapsed: 16.400 s
% 115.12/16.80 % (25907)Instructions burned: 38424 (million)
% 115.12/16.80 % (25907)------------------------------
% 115.12/16.80 % (25907)------------------------------
% 115.12/16.80 % (25899)Success in time 16.273 s
%------------------------------------------------------------------------------