TSTP Solution File: SET018-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET018-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 09:09:49 EDT 2024
% Result : Unsatisfiable 0.18s 0.35s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 24 unt; 0 def)
% Number of atoms : 68 ( 43 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 10 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f311,plain,
$false,
inference(subsumption_resolution,[],[f302,f173]) ).
fof(f173,plain,
~ member(r1,singleton_set(m1)),
inference(superposition,[],[f9,f170]) ).
fof(f170,plain,
m1 = r2,
inference(subsumption_resolution,[],[f166,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ member(X0,singleton_set(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_2) ).
fof(f166,plain,
( member(r2,singleton_set(m1))
| m1 = r2 ),
inference(superposition,[],[f4,f158]) ).
fof(f158,plain,
( singleton_set(m1) = unordered_pair(m1,r2)
| m1 = r2 ),
inference(subsumption_resolution,[],[f156,f8]) ).
fof(f8,axiom,
r1 != r2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_second_components_equal) ).
fof(f156,plain,
( singleton_set(m1) = unordered_pair(m1,r2)
| m1 = r2
| r1 = r2 ),
inference(resolution,[],[f153,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_3) ).
fof(f153,plain,
( member(r2,unordered_pair(m1,r1))
| singleton_set(m1) = unordered_pair(m1,r2) ),
inference(forward_demodulation,[],[f141,f84]) ).
fof(f84,plain,
m1 = m2,
inference(subsumption_resolution,[],[f82,f2]) ).
fof(f82,plain,
( member(m2,singleton_set(m1))
| m1 = m2 ),
inference(superposition,[],[f1,f69]) ).
fof(f69,plain,
( singleton_set(m2) = singleton_set(m1)
| m1 = m2 ),
inference(resolution,[],[f49,f2]) ).
fof(f49,plain,
( member(m1,singleton_set(m2))
| singleton_set(m2) = singleton_set(m1) ),
inference(superposition,[],[f3,f38]) ).
fof(f38,plain,
( singleton_set(m2) = unordered_pair(m1,r1)
| singleton_set(m2) = singleton_set(m1) ),
inference(resolution,[],[f29,f16]) ).
fof(f16,plain,
member(singleton_set(m2),ordered_pair(m1,r1)),
inference(superposition,[],[f15,f7]) ).
fof(f7,axiom,
ordered_pair(m1,r1) = ordered_pair(m2,r2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_ordered_pairs) ).
fof(f15,plain,
! [X0,X1] : member(singleton_set(X0),ordered_pair(X0,X1)),
inference(superposition,[],[f3,f6]) ).
fof(f6,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton_set(X0),unordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ member(X2,ordered_pair(X0,X1))
| singleton_set(X0) = X2
| unordered_pair(X0,X1) = X2 ),
inference(superposition,[],[f5,f6]) ).
fof(f3,axiom,
! [X0,X1] : member(X0,unordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_1) ).
fof(f1,axiom,
! [X0] : member(X0,singleton_set(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_1) ).
fof(f141,plain,
( member(r2,unordered_pair(m1,r1))
| unordered_pair(m2,r2) = singleton_set(m1) ),
inference(superposition,[],[f4,f40]) ).
fof(f40,plain,
( unordered_pair(m2,r2) = unordered_pair(m1,r1)
| unordered_pair(m2,r2) = singleton_set(m1) ),
inference(resolution,[],[f29,f18]) ).
fof(f18,plain,
member(unordered_pair(m2,r2),ordered_pair(m1,r1)),
inference(superposition,[],[f14,f7]) ).
fof(f14,plain,
! [X0,X1] : member(unordered_pair(X0,X1),ordered_pair(X0,X1)),
inference(superposition,[],[f4,f6]) ).
fof(f4,axiom,
! [X0,X1] : member(X1,unordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_2) ).
fof(f9,plain,
~ member(r1,singleton_set(r2)),
inference(unit_resulting_resolution,[],[f8,f2]) ).
fof(f302,plain,
member(r1,singleton_set(m1)),
inference(superposition,[],[f4,f287]) ).
fof(f287,plain,
singleton_set(m1) = unordered_pair(m1,r1),
inference(unit_resulting_resolution,[],[f222,f284]) ).
fof(f284,plain,
! [X0] :
( ~ member(X0,ordered_pair(m1,m1))
| singleton_set(m1) = X0 ),
inference(duplicate_literal_removal,[],[f278]) ).
fof(f278,plain,
! [X0] :
( ~ member(X0,ordered_pair(m1,m1))
| singleton_set(m1) = X0
| singleton_set(m1) = X0 ),
inference(superposition,[],[f5,f271]) ).
fof(f271,plain,
unordered_pair(singleton_set(m1),singleton_set(m1)) = ordered_pair(m1,m1),
inference(superposition,[],[f6,f266]) ).
fof(f266,plain,
singleton_set(m1) = unordered_pair(m1,m1),
inference(subsumption_resolution,[],[f256,f177]) ).
fof(f177,plain,
~ member(r1,unordered_pair(m1,m1)),
inference(superposition,[],[f21,f170]) ).
fof(f21,plain,
~ member(r1,unordered_pair(r2,r2)),
inference(unit_resulting_resolution,[],[f8,f8,f5]) ).
fof(f256,plain,
( member(r1,unordered_pair(m1,m1))
| singleton_set(m1) = unordered_pair(m1,m1) ),
inference(superposition,[],[f4,f194]) ).
fof(f194,plain,
( unordered_pair(m1,r1) = unordered_pair(m1,m1)
| singleton_set(m1) = unordered_pair(m1,m1) ),
inference(forward_demodulation,[],[f193,f84]) ).
fof(f193,plain,
( singleton_set(m1) = unordered_pair(m2,m1)
| unordered_pair(m1,r1) = unordered_pair(m1,m1) ),
inference(forward_demodulation,[],[f192,f170]) ).
fof(f192,plain,
( unordered_pair(m1,r1) = unordered_pair(m1,m1)
| unordered_pair(m2,r2) = singleton_set(m1) ),
inference(forward_demodulation,[],[f179,f84]) ).
fof(f179,plain,
( unordered_pair(m1,r1) = unordered_pair(m2,m1)
| unordered_pair(m2,r2) = singleton_set(m1) ),
inference(superposition,[],[f40,f170]) ).
fof(f222,plain,
member(unordered_pair(m1,r1),ordered_pair(m1,m1)),
inference(superposition,[],[f14,f187]) ).
fof(f187,plain,
ordered_pair(m1,r1) = ordered_pair(m1,m1),
inference(forward_demodulation,[],[f171,f84]) ).
fof(f171,plain,
ordered_pair(m1,r1) = ordered_pair(m2,m1),
inference(superposition,[],[f7,f170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 17:04:22 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % (28197)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34 % (28200)WARNING: value z3 for option sas not known
% 0.12/0.34 % (28199)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.34 % (28198)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.34 % (28202)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)
% 0.12/0.34 % (28203)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)
% 0.12/0.34 % (28200)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)
% 0.12/0.34 % (28201)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.34 % (28204)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)
% 0.12/0.34 TRYING [1]
% 0.12/0.34 TRYING [2]
% 0.12/0.34 TRYING [1]
% 0.12/0.34 TRYING [3]
% 0.12/0.34 TRYING [2]
% 0.12/0.34 TRYING [4]
% 0.12/0.34 TRYING [3]
% 0.12/0.35 TRYING [5]
% 0.12/0.35 % (28204)First to succeed.
% 0.18/0.35 % (28200)Also succeeded, but the first one will report.
% 0.18/0.35 % (28204)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28197"
% 0.18/0.35 % (28204)Refutation found. Thanks to Tanya!
% 0.18/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.35 % (28204)------------------------------
% 0.18/0.35 % (28204)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.35 % (28204)Termination reason: Refutation
% 0.18/0.35
% 0.18/0.35 % (28204)Memory used [KB]: 844
% 0.18/0.35 % (28204)Time elapsed: 0.009 s
% 0.18/0.35 % (28204)Instructions burned: 15 (million)
% 0.18/0.35 % (28197)Success in time 0.023 s
%------------------------------------------------------------------------------