TSTP Solution File: SET076-7 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET076-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 May 21 03:15:55 EDT 2024
% Result : Unsatisfiable 4.11s 0.95s
% Output : Refutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 21 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11263,plain,
$false,
inference(resolution,[],[f10947,f119]) ).
fof(f119,axiom,
member(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_1) ).
fof(f10947,plain,
~ member(x,z),
inference(backward_demodulation,[],[f149,f10944]) ).
fof(f10944,plain,
x = not_subclass_element(unordered_pair(x,y),z),
inference(resolution,[],[f10904,f120]) ).
fof(f120,axiom,
member(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_2) ).
fof(f10904,plain,
( ~ member(y,z)
| x = not_subclass_element(unordered_pair(x,y),z) ),
inference(superposition,[],[f149,f10436]) ).
fof(f10436,plain,
( y = not_subclass_element(unordered_pair(x,y),z)
| x = not_subclass_element(unordered_pair(x,y),z) ),
inference(resolution,[],[f1048,f121]) ).
fof(f121,axiom,
~ subclass(unordered_pair(x,y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_3) ).
fof(f1048,plain,
! [X2,X0,X1] :
( subclass(unordered_pair(X0,X1),X2)
| not_subclass_element(unordered_pair(X0,X1),X2) = X1
| not_subclass_element(unordered_pair(X0,X1),X2) = X0 ),
inference(resolution,[],[f8,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(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f149,plain,
~ member(not_subclass_element(unordered_pair(x,y),z),z),
inference(resolution,[],[f3,f121]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET076-7 : TPTP v8.2.0. 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 : n004.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 : Mon May 20 13:35:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (30228)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (30231)WARNING: value z3 for option sas not known
% 0.14/0.37 % (30230)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (30232)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (30229)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (30233)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)
% 0.14/0.37 % (30231)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)
% 0.14/0.37 % (30234)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)
% 0.14/0.37 % (30235)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)
% 0.20/0.41 TRYING [1]
% 0.20/0.41 TRYING [2]
% 0.20/0.48 TRYING [3]
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.58 TRYING [4]
% 0.20/0.60 TRYING [3]
% 3.68/0.87 TRYING [5]
% 4.11/0.95 % (30234)First to succeed.
% 4.11/0.95 % (30234)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30228"
% 4.11/0.95 % (30234)Refutation found. Thanks to Tanya!
% 4.11/0.95 % SZS status Unsatisfiable for theBenchmark
% 4.11/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 4.11/0.95 % (30234)------------------------------
% 4.11/0.95 % (30234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.11/0.95 % (30234)Termination reason: Refutation
% 4.11/0.95
% 4.11/0.95 % (30234)Memory used [KB]: 7611
% 4.11/0.95 % (30234)Time elapsed: 0.583 s
% 4.11/0.95 % (30234)Instructions burned: 1586 (million)
% 4.11/0.95 % (30228)Success in time 0.592 s
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