TSTP Solution File: SET017-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET017-6 : 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 : n022.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 09:09:48 EDT 2024
% Result : Unsatisfiable 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 35 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 10 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 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 : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f337,plain,
$false,
inference(trivial_inequality_removal,[],[f336]) ).
fof(f336,plain,
y != y,
inference(superposition,[],[f94,f324]) ).
fof(f324,plain,
y = z,
inference(duplicate_literal_removal,[],[f318]) ).
fof(f318,plain,
( y = z
| y = z
| y = z ),
inference(superposition,[],[f315,f294]) ).
fof(f294,plain,
( x = z
| y = z ),
inference(resolution,[],[f290,f199]) ).
fof(f199,plain,
member(z,universal_class),
inference(resolution,[],[f15,f93]) ).
fof(f93,axiom,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_2) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f290,plain,
( ~ member(z,universal_class)
| y = z
| x = z ),
inference(resolution,[],[f8,f106]) ).
fof(f106,plain,
( member(z,unordered_pair(x,y))
| ~ member(z,universal_class) ),
inference(superposition,[],[f10,f92]) ).
fof(f92,axiom,
unordered_pair(x,y) = unordered_pair(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_1) ).
fof(f10,axiom,
! [X0,X1] :
( member(X1,unordered_pair(X0,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
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(f315,plain,
( x = y
| y = z ),
inference(resolution,[],[f305,f182]) ).
fof(f182,plain,
member(y,universal_class),
inference(resolution,[],[f14,f93]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f305,plain,
( ~ member(y,universal_class)
| y = z
| x = y ),
inference(resolution,[],[f291,f10]) ).
fof(f291,plain,
! [X0] :
( ~ member(X0,unordered_pair(x,y))
| x = X0
| z = X0 ),
inference(superposition,[],[f8,f92]) ).
fof(f94,axiom,
y != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET017-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 17:03:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (31682)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36 % (31686)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (31685)WARNING: value z3 for option sas not known
% 0.20/0.37 % (31683)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (31685)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)
% 0.20/0.37 % (31688)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)
% 0.20/0.37 % (31684)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (31689)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)
% 0.20/0.37 % (31687)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)
% 0.20/0.39 % (31688)First to succeed.
% 0.20/0.39 % (31688)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31682"
% 0.20/0.39 % (31688)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (31688)------------------------------
% 0.20/0.39 % (31688)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39 % (31688)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (31688)Memory used [KB]: 1130
% 0.20/0.39 % (31688)Time elapsed: 0.017 s
% 0.20/0.39 % (31688)Instructions burned: 23 (million)
% 0.20/0.39 % (31682)Success in time 0.036 s
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