TSTP Solution File: HWV008-2.002 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV008-2.002 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 06:32:51 EDT 2024
% Result : Unsatisfiable 0.08s 0.43s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 31
% Syntax : Number of formulae : 89 ( 44 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 106 ( 51 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f453,plain,
$false,
inference(subsumption_resolution,[],[f452,f432]) ).
fof(f432,plain,
zero(outc(h2(f2(a)))),
inference(subsumption_resolution,[],[f429,f372]) ).
fof(f372,plain,
zero(out1(and2(h2(f2(a))))),
inference(resolution,[],[f371,f122]) ).
fof(f122,plain,
( ~ zero(in1(and2(h2(f2(a)))))
| zero(out1(and2(h2(f2(a))))) ),
inference(resolution,[],[f6,f105]) ).
fof(f105,plain,
and_ok(and2(h2(f2(a)))),
inference(subsumption_resolution,[],[f104,f74]) ).
fof(f74,axiom,
~ abnormal(and2(h2(f2(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h2f2a) ).
fof(f104,plain,
( and_ok(and2(h2(f2(a))))
| abnormal(and2(h2(f2(a)))) ),
inference(resolution,[],[f94,f13]) ).
fof(f13,axiom,
! [X3] :
( ~ logic_and(X3)
| and_ok(X3)
| abnormal(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_ok_or_abnormal) ).
fof(f94,plain,
logic_and(and2(h2(f2(a)))),
inference(resolution,[],[f90,f29]) ).
fof(f29,axiom,
! [X4] :
( ~ halfadder(X4)
| logic_and(and2(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and2) ).
fof(f90,plain,
halfadder(h2(f2(a))),
inference(resolution,[],[f88,f42]) ).
fof(f42,axiom,
! [X4] :
( ~ fulladder(X4)
| halfadder(h2(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder2) ).
fof(f88,plain,
fulladder(f2(a)),
inference(resolution,[],[f53,f63]) ).
fof(f63,axiom,
nbit_adder2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_isa_2bit_adder) ).
fof(f53,axiom,
! [X4] :
( ~ nbit_adder2(X4)
| fulladder(f2(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_fulladder2) ).
fof(f6,axiom,
! [X3] :
( ~ and_ok(X3)
| ~ zero(in1(X3))
| zero(out1(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_0x_0) ).
fof(f371,plain,
zero(in1(and2(h2(f2(a))))),
inference(subsumption_resolution,[],[f370,f227]) ).
fof(f227,plain,
zero(in1(h2(f2(a)))),
inference(subsumption_resolution,[],[f226,f205]) ).
fof(f205,plain,
zero(in1(f2(a))),
inference(subsumption_resolution,[],[f204,f65]) ).
fof(f65,axiom,
zero(ina2(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ina2_0) ).
fof(f204,plain,
( zero(in1(f2(a)))
| ~ zero(ina2(a)) ),
inference(resolution,[],[f200,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| zero(X1)
| ~ zero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_zero1) ).
fof(f200,plain,
connection(ina2(a),in1(f2(a))),
inference(resolution,[],[f59,f63]) ).
fof(f59,axiom,
! [X4] :
( ~ nbit_adder2(X4)
| connection(ina2(X4),in1(f2(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_ina2_in1f2) ).
fof(f226,plain,
( zero(in1(h2(f2(a))))
| ~ zero(in1(f2(a))) ),
inference(resolution,[],[f159,f1]) ).
fof(f159,plain,
connection(in1(f2(a)),in1(h2(f2(a)))),
inference(resolution,[],[f47,f88]) ).
fof(f47,axiom,
! [X4] :
( ~ fulladder(X4)
| connection(in1(X4),in1(h2(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_in1_in1h2) ).
fof(f370,plain,
( zero(in1(and2(h2(f2(a)))))
| ~ zero(in1(h2(f2(a)))) ),
inference(resolution,[],[f143,f1]) ).
fof(f143,plain,
connection(in1(h2(f2(a))),in1(and2(h2(f2(a))))),
inference(resolution,[],[f34,f90]) ).
fof(f34,axiom,
! [X4] :
( ~ halfadder(X4)
| connection(in1(X4),in1(and2(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).
fof(f429,plain,
( zero(outc(h2(f2(a))))
| ~ zero(out1(and2(h2(f2(a))))) ),
inference(resolution,[],[f155,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| zero(X0)
| ~ zero(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_zero2) ).
fof(f155,plain,
connection(outc(h2(f2(a))),out1(and2(h2(f2(a))))),
inference(resolution,[],[f37,f90]) ).
fof(f37,axiom,
! [X4] :
( ~ halfadder(X4)
| connection(outc(X4),out1(and2(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
fof(f452,plain,
~ zero(outc(h2(f2(a)))),
inference(resolution,[],[f451,f5]) ).
fof(f5,axiom,
! [X2] :
( ~ one(X2)
| ~ zero(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_value) ).
fof(f451,plain,
one(outc(h2(f2(a)))),
inference(subsumption_resolution,[],[f316,f444]) ).
fof(f444,plain,
one(in1(or1(f2(a)))),
inference(subsumption_resolution,[],[f443,f441]) ).
fof(f441,plain,
zero(outc(h1(f2(a)))),
inference(subsumption_resolution,[],[f438,f384]) ).
fof(f384,plain,
zero(out1(and2(h1(f2(a))))),
inference(resolution,[],[f383,f123]) ).
fof(f123,plain,
( ~ zero(in1(and2(h1(f2(a)))))
| zero(out1(and2(h1(f2(a))))) ),
inference(resolution,[],[f6,f108]) ).
fof(f108,plain,
and_ok(and2(h1(f2(a)))),
inference(subsumption_resolution,[],[f107,f73]) ).
fof(f73,axiom,
~ abnormal(and2(h1(f2(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1f2a) ).
fof(f107,plain,
( and_ok(and2(h1(f2(a))))
| abnormal(and2(h1(f2(a)))) ),
inference(resolution,[],[f98,f13]) ).
fof(f98,plain,
logic_and(and2(h1(f2(a)))),
inference(resolution,[],[f91,f29]) ).
fof(f91,plain,
halfadder(h1(f2(a))),
inference(resolution,[],[f88,f41]) ).
fof(f41,axiom,
! [X4] :
( ~ fulladder(X4)
| halfadder(h1(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder1) ).
fof(f383,plain,
zero(in1(and2(h1(f2(a))))),
inference(subsumption_resolution,[],[f382,f237]) ).
fof(f237,plain,
zero(in1(h1(f2(a)))),
inference(subsumption_resolution,[],[f236,f211]) ).
fof(f211,plain,
zero(in2(f2(a))),
inference(subsumption_resolution,[],[f210,f67]) ).
fof(f67,axiom,
zero(inb2(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inb2_0) ).
fof(f210,plain,
( zero(in2(f2(a)))
| ~ zero(inb2(a)) ),
inference(resolution,[],[f206,f1]) ).
fof(f206,plain,
connection(inb2(a),in2(f2(a))),
inference(resolution,[],[f60,f63]) ).
fof(f60,axiom,
! [X4] :
( ~ nbit_adder2(X4)
| connection(inb2(X4),in2(f2(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_inb2_in2f2) ).
fof(f236,plain,
( zero(in1(h1(f2(a))))
| ~ zero(in2(f2(a))) ),
inference(resolution,[],[f161,f1]) ).
fof(f161,plain,
connection(in2(f2(a)),in1(h1(f2(a)))),
inference(resolution,[],[f48,f88]) ).
fof(f48,axiom,
! [X4] :
( ~ fulladder(X4)
| connection(in2(X4),in1(h1(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_in2_in1h1) ).
fof(f382,plain,
( zero(in1(and2(h1(f2(a)))))
| ~ zero(in1(h1(f2(a)))) ),
inference(resolution,[],[f145,f1]) ).
fof(f145,plain,
connection(in1(h1(f2(a))),in1(and2(h1(f2(a))))),
inference(resolution,[],[f34,f91]) ).
fof(f438,plain,
( zero(outc(h1(f2(a))))
| ~ zero(out1(and2(h1(f2(a))))) ),
inference(resolution,[],[f157,f3]) ).
fof(f157,plain,
connection(outc(h1(f2(a))),out1(and2(h1(f2(a))))),
inference(resolution,[],[f37,f91]) ).
fof(f443,plain,
( one(in1(or1(f2(a))))
| ~ zero(outc(h1(f2(a)))) ),
inference(resolution,[],[f442,f5]) ).
fof(f442,plain,
( one(outc(h1(f2(a))))
| one(in1(or1(f2(a)))) ),
inference(resolution,[],[f306,f405]) ).
fof(f405,plain,
( one(in2(or1(f2(a))))
| one(in1(or1(f2(a)))) ),
inference(subsumption_resolution,[],[f403,f268]) ).
fof(f268,plain,
one(out1(or1(f2(a)))),
inference(subsumption_resolution,[],[f265,f187]) ).
fof(f187,plain,
one(outc(f2(a))),
inference(subsumption_resolution,[],[f184,f71]) ).
fof(f71,axiom,
one(outc(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_1) ).
fof(f184,plain,
( one(outc(f2(a)))
| ~ one(outc(a)) ),
inference(resolution,[],[f180,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| one(X1)
| ~ one(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_one1) ).
fof(f180,plain,
connection(outc(a),outc(f2(a))),
inference(resolution,[],[f56,f63]) ).
fof(f56,axiom,
! [X4] :
( ~ nbit_adder2(X4)
| connection(outc(X4),outc(f2(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcf1) ).
fof(f265,plain,
( one(out1(or1(f2(a))))
| ~ one(outc(f2(a))) ),
inference(resolution,[],[f167,f2]) ).
fof(f167,plain,
connection(outc(f2(a)),out1(or1(f2(a)))),
inference(resolution,[],[f51,f88]) ).
fof(f51,axiom,
! [X4] :
( ~ fulladder(X4)
| connection(outc(X4),out1(or1(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).
fof(f403,plain,
( ~ one(out1(or1(f2(a))))
| one(in2(or1(f2(a))))
| one(in1(or1(f2(a)))) ),
inference(resolution,[],[f17,f116]) ).
fof(f116,plain,
or_ok(or1(f2(a))),
inference(subsumption_resolution,[],[f115,f72]) ).
fof(f72,axiom,
~ abnormal(or1(f2(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1f2a) ).
fof(f115,plain,
( or_ok(or1(f2(a)))
| abnormal(or1(f2(a))) ),
inference(resolution,[],[f21,f89]) ).
fof(f89,plain,
logic_or(or1(f2(a))),
inference(resolution,[],[f88,f43]) ).
fof(f43,axiom,
! [X4] :
( ~ fulladder(X4)
| logic_or(or1(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_or1) ).
fof(f21,axiom,
! [X3] :
( ~ logic_or(X3)
| or_ok(X3)
| abnormal(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_ok_or_abnormal) ).
fof(f17,axiom,
! [X3] :
( ~ or_ok(X3)
| ~ one(out1(X3))
| one(in2(X3))
| one(in1(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1_11) ).
fof(f306,plain,
( ~ one(in2(or1(f2(a))))
| one(outc(h1(f2(a)))) ),
inference(resolution,[],[f286,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| one(X0)
| ~ one(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_one2) ).
fof(f286,plain,
connection(outc(h1(f2(a))),in2(or1(f2(a)))),
inference(resolution,[],[f45,f88]) ).
fof(f45,axiom,
! [X4] :
( ~ fulladder(X4)
| connection(outc(h1(X4)),in2(or1(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outch1_in2or1) ).
fof(f316,plain,
( one(outc(h2(f2(a))))
| ~ one(in1(or1(f2(a)))) ),
inference(resolution,[],[f288,f4]) ).
fof(f288,plain,
connection(outc(h2(f2(a))),in1(or1(f2(a)))),
inference(resolution,[],[f46,f88]) ).
fof(f46,axiom,
! [X4] :
( ~ fulladder(X4)
| connection(outc(h2(X4)),in1(or1(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outch2_in1or1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.21 % Problem : HWV008-2.002 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.06/0.22 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.41 % Computer : n028.cluster.edu
% 0.08/0.41 % Model : x86_64 x86_64
% 0.08/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.41 % Memory : 8042.1875MB
% 0.08/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.41 % CPULimit : 300
% 0.08/0.41 % WCLimit : 300
% 0.08/0.41 % DateTime : Fri May 3 21:33:08 EDT 2024
% 0.08/0.41 % CPUTime :
% 0.08/0.41 % (6073)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.42 % (6077)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.08/0.42 % (6075)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.08/0.42 % (6074)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.08/0.42 % (6078)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.08/0.42 % (6076)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.08/0.42 % (6079)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.08/0.42 % (6080)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.08/0.42 TRYING [1]
% 0.08/0.42 TRYING [1]
% 0.08/0.42 TRYING [2]
% 0.08/0.42 TRYING [1]
% 0.08/0.42 TRYING [1]
% 0.08/0.42 TRYING [2]
% 0.08/0.42 TRYING [2]
% 0.08/0.42 TRYING [2]
% 0.08/0.43 TRYING [3]
% 0.08/0.43 % (6078)First to succeed.
% 0.08/0.43 TRYING [3]
% 0.08/0.43 TRYING [3]
% 0.08/0.43 % (6078)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6073"
% 0.08/0.43 TRYING [3]
% 0.08/0.43 % (6078)Refutation found. Thanks to Tanya!
% 0.08/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.43 % (6078)------------------------------
% 0.08/0.43 % (6078)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.08/0.43 % (6078)Termination reason: Refutation
% 0.08/0.43
% 0.08/0.43 % (6078)Memory used [KB]: 970
% 0.08/0.43 % (6078)Time elapsed: 0.006 s
% 0.08/0.43 % (6078)Instructions burned: 16 (million)
% 0.08/0.43 % (6073)Success in time 0.015 s
%------------------------------------------------------------------------------