TSTP Solution File: HWV008-1.002 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV008-1.002 : TPTP v8.1.2. Bugfixed v2.2.0.
% 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 : Sun May 5 06:32:50 EDT 2024
% Result : Unsatisfiable 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 29
% Syntax : Number of formulae : 90 ( 46 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 116 ( 58 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f528,plain,
$false,
inference(subsumption_resolution,[],[f524,f5]) ).
fof(f5,axiom,
~ equal_value(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_value2) ).
fof(f524,plain,
equal_value(n1,n0),
inference(resolution,[],[f518,f235]) ).
fof(f235,plain,
! [X0] :
( ~ value(out(n1,or1(f(n2,a))),X0)
| equal_value(n1,X0) ),
inference(resolution,[],[f234,f3]) ).
fof(f3,axiom,
! [X3,X4,X5] :
( ~ value(X3,X4)
| ~ value(X3,X5)
| equal_value(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_value) ).
fof(f234,plain,
value(out(n1,or1(f(n2,a))),n1),
inference(resolution,[],[f231,f189]) ).
fof(f189,plain,
connection(out(c,f(n2,a)),out(n1,or1(f(n2,a)))),
inference(resolution,[],[f45,f125]) ).
fof(f125,plain,
type(f(n2,a),fulladder),
inference(resolution,[],[f47,f57]) ).
fof(f57,axiom,
type(a,nbit_adder(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_isa_2bit_adder) ).
fof(f47,axiom,
! [X8] :
( ~ type(X8,nbit_adder(n2))
| type(f(n2,X8),fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_fulladder2) ).
fof(f45,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(out(c,X8),out(n1,or1(X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).
fof(f231,plain,
! [X0] :
( ~ connection(out(c,f(n2,a)),X0)
| value(X0,n1) ),
inference(resolution,[],[f228,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ value(X0,X2)
| ~ connection(X0,X1)
| value(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation1) ).
fof(f228,plain,
value(out(c,f(n2,a)),n1),
inference(resolution,[],[f227,f76]) ).
fof(f76,plain,
! [X0] :
( ~ connection(out(c,a),X0)
| value(X0,n1) ),
inference(resolution,[],[f1,f65]) ).
fof(f65,axiom,
value(out(c,a),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_1) ).
fof(f227,plain,
connection(out(c,a),out(c,f(n2,a))),
inference(resolution,[],[f50,f57]) ).
fof(f50,axiom,
! [X8] :
( ~ type(X8,nbit_adder(n2))
| connection(out(c,X8),out(c,f(n2,X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcf1) ).
fof(f518,plain,
value(out(n1,or1(f(n2,a))),n0),
inference(subsumption_resolution,[],[f517,f430]) ).
fof(f430,plain,
value(in(n1,or1(f(n2,a))),n0),
inference(resolution,[],[f427,f207]) ).
fof(f207,plain,
connection(out(c,h2(f(n2,a))),in(n1,or1(f(n2,a)))),
inference(resolution,[],[f40,f125]) ).
fof(f40,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(out(c,h2(X8)),in(n1,or1(X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outch2_in1or1) ).
fof(f427,plain,
! [X0] :
( ~ connection(out(c,h2(f(n2,a))),X0)
| value(X0,n0) ),
inference(resolution,[],[f424,f1]) ).
fof(f424,plain,
value(out(c,h2(f(n2,a))),n0),
inference(resolution,[],[f179,f385]) ).
fof(f385,plain,
! [X0] :
( ~ connection(X0,out(n1,and2(h2(f(n2,a)))))
| value(X0,n0) ),
inference(resolution,[],[f380,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ value(X1,X2)
| ~ connection(X0,X1)
| value(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation2) ).
fof(f380,plain,
value(out(n1,and2(h2(f(n2,a)))),n0),
inference(resolution,[],[f379,f332]) ).
fof(f332,plain,
! [X0] :
( ~ value(in(X0,and2(h2(f(n2,a)))),n0)
| value(out(n1,and2(h2(f(n2,a)))),n0) ),
inference(subsumption_resolution,[],[f329,f147]) ).
fof(f147,plain,
mode(and2(h2(f(n2,a))),ok),
inference(subsumption_resolution,[],[f146,f68]) ).
fof(f68,axiom,
~ mode(and2(h2(f(n2,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1f2a) ).
fof(f146,plain,
( mode(and2(h2(f(n2,a))),abnormal)
| mode(and2(h2(f(n2,a))),ok) ),
inference(resolution,[],[f134,f7]) ).
fof(f7,axiom,
! [X6,X7] :
( ~ type(X6,X7)
| mode(X6,abnormal)
| mode(X6,ok) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ok_or_abnormal) ).
fof(f134,plain,
type(and2(h2(f(n2,a))),and),
inference(resolution,[],[f127,f23]) ).
fof(f23,axiom,
! [X8] :
( ~ type(X8,halfadder)
| type(and2(X8),and) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and2) ).
fof(f127,plain,
type(h2(f(n2,a)),halfadder),
inference(resolution,[],[f125,f36]) ).
fof(f36,axiom,
! [X8] :
( ~ type(X8,fulladder)
| type(h2(X8),halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder2) ).
fof(f329,plain,
! [X0] :
( ~ mode(and2(h2(f(n2,a))),ok)
| ~ value(in(X0,and2(h2(f(n2,a)))),n0)
| value(out(n1,and2(h2(f(n2,a)))),n0) ),
inference(resolution,[],[f8,f134]) ).
fof(f8,axiom,
! [X6,X7] :
( ~ type(X6,and)
| ~ mode(X6,ok)
| ~ value(in(X7,X6),n0)
| value(out(n1,X6),n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_0x_0) ).
fof(f379,plain,
value(in(n1,and2(h2(f(n2,a)))),n0),
inference(resolution,[],[f167,f276]) ).
fof(f276,plain,
! [X0] :
( ~ connection(in(n1,h2(f(n2,a))),X0)
| value(X0,n0) ),
inference(resolution,[],[f273,f1]) ).
fof(f273,plain,
value(in(n1,h2(f(n2,a))),n0),
inference(resolution,[],[f270,f181]) ).
fof(f181,plain,
connection(in(n1,f(n2,a)),in(n1,h2(f(n2,a)))),
inference(resolution,[],[f41,f125]) ).
fof(f41,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(in(n1,X8),in(n1,h2(X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in1_in1h2) ).
fof(f270,plain,
! [X0] :
( ~ connection(in(n1,f(n2,a)),X0)
| value(X0,n0) ),
inference(resolution,[],[f267,f1]) ).
fof(f267,plain,
value(in(n1,f(n2,a)),n0),
inference(resolution,[],[f266,f72]) ).
fof(f72,plain,
! [X0] :
( ~ connection(in(a2,a),X0)
| value(X0,n0) ),
inference(resolution,[],[f1,f59]) ).
fof(f59,axiom,
value(in(a2,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ina2_0) ).
fof(f266,plain,
connection(in(a2,a),in(n1,f(n2,a))),
inference(resolution,[],[f53,f57]) ).
fof(f53,axiom,
! [X8] :
( ~ type(X8,nbit_adder(n2))
| connection(in(a2,X8),in(n1,f(n2,X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_ina2_in1f2) ).
fof(f167,plain,
connection(in(n1,h2(f(n2,a))),in(n1,and2(h2(f(n2,a))))),
inference(resolution,[],[f28,f127]) ).
fof(f28,axiom,
! [X8] :
( ~ type(X8,halfadder)
| connection(in(n1,X8),in(n1,and2(X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).
fof(f179,plain,
connection(out(c,h2(f(n2,a))),out(n1,and2(h2(f(n2,a))))),
inference(resolution,[],[f31,f127]) ).
fof(f31,axiom,
! [X8] :
( ~ type(X8,halfadder)
| connection(out(c,X8),out(n1,and2(X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
fof(f517,plain,
( ~ value(in(n1,or1(f(n2,a))),n0)
| value(out(n1,or1(f(n2,a))),n0) ),
inference(subsumption_resolution,[],[f516,f418]) ).
fof(f418,plain,
value(in(n2,or1(f(n2,a))),n0),
inference(resolution,[],[f415,f205]) ).
fof(f205,plain,
connection(out(c,h1(f(n2,a))),in(n2,or1(f(n2,a)))),
inference(resolution,[],[f39,f125]) ).
fof(f39,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(out(c,h1(X8)),in(n2,or1(X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outch1_in2or1) ).
fof(f415,plain,
! [X0] :
( ~ connection(out(c,h1(f(n2,a))),X0)
| value(X0,n0) ),
inference(resolution,[],[f412,f1]) ).
fof(f412,plain,
value(out(c,h1(f(n2,a))),n0),
inference(resolution,[],[f177,f368]) ).
fof(f368,plain,
! [X0] :
( ~ connection(X0,out(n1,and2(h1(f(n2,a)))))
| value(X0,n0) ),
inference(resolution,[],[f363,f2]) ).
fof(f363,plain,
value(out(n1,and2(h1(f(n2,a)))),n0),
inference(resolution,[],[f362,f333]) ).
fof(f333,plain,
! [X0] :
( ~ value(in(X0,and2(h1(f(n2,a)))),n0)
| value(out(n1,and2(h1(f(n2,a)))),n0) ),
inference(subsumption_resolution,[],[f331,f152]) ).
fof(f152,plain,
mode(and2(h1(f(n2,a))),ok),
inference(subsumption_resolution,[],[f151,f67]) ).
fof(f67,axiom,
~ mode(and2(h1(f(n2,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h2f2a) ).
fof(f151,plain,
( mode(and2(h1(f(n2,a))),abnormal)
| mode(and2(h1(f(n2,a))),ok) ),
inference(resolution,[],[f139,f7]) ).
fof(f139,plain,
type(and2(h1(f(n2,a))),and),
inference(resolution,[],[f128,f23]) ).
fof(f128,plain,
type(h1(f(n2,a)),halfadder),
inference(resolution,[],[f125,f35]) ).
fof(f35,axiom,
! [X8] :
( ~ type(X8,fulladder)
| type(h1(X8),halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder1) ).
fof(f331,plain,
! [X0] :
( ~ mode(and2(h1(f(n2,a))),ok)
| ~ value(in(X0,and2(h1(f(n2,a)))),n0)
| value(out(n1,and2(h1(f(n2,a)))),n0) ),
inference(resolution,[],[f8,f139]) ).
fof(f362,plain,
value(in(n1,and2(h1(f(n2,a)))),n0),
inference(resolution,[],[f165,f294]) ).
fof(f294,plain,
! [X0] :
( ~ connection(in(n1,h1(f(n2,a))),X0)
| value(X0,n0) ),
inference(resolution,[],[f291,f1]) ).
fof(f291,plain,
value(in(n1,h1(f(n2,a))),n0),
inference(resolution,[],[f284,f183]) ).
fof(f183,plain,
connection(in(n2,f(n2,a)),in(n1,h1(f(n2,a)))),
inference(resolution,[],[f42,f125]) ).
fof(f42,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(in(n2,X8),in(n1,h1(X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in2_in1h1) ).
fof(f284,plain,
! [X0] :
( ~ connection(in(n2,f(n2,a)),X0)
| value(X0,n0) ),
inference(resolution,[],[f281,f1]) ).
fof(f281,plain,
value(in(n2,f(n2,a)),n0),
inference(resolution,[],[f279,f73]) ).
fof(f73,plain,
! [X0] :
( ~ connection(in(b2,a),X0)
| value(X0,n0) ),
inference(resolution,[],[f1,f61]) ).
fof(f61,axiom,
value(in(b2,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inb2_0) ).
fof(f279,plain,
connection(in(b2,a),in(n2,f(n2,a))),
inference(resolution,[],[f54,f57]) ).
fof(f54,axiom,
! [X8] :
( ~ type(X8,nbit_adder(n2))
| connection(in(b2,X8),in(n2,f(n2,X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_inb2_in2f2) ).
fof(f165,plain,
connection(in(n1,h1(f(n2,a))),in(n1,and2(h1(f(n2,a))))),
inference(resolution,[],[f28,f128]) ).
fof(f177,plain,
connection(out(c,h1(f(n2,a))),out(n1,and2(h1(f(n2,a))))),
inference(resolution,[],[f31,f128]) ).
fof(f516,plain,
( ~ value(in(n2,or1(f(n2,a))),n0)
| ~ value(in(n1,or1(f(n2,a))),n0)
| value(out(n1,or1(f(n2,a))),n0) ),
inference(subsumption_resolution,[],[f511,f131]) ).
fof(f131,plain,
mode(or1(f(n2,a)),ok),
inference(subsumption_resolution,[],[f130,f66]) ).
fof(f66,axiom,
~ mode(or1(f(n2,a)),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1f2a) ).
fof(f130,plain,
( mode(or1(f(n2,a)),abnormal)
| mode(or1(f(n2,a)),ok) ),
inference(resolution,[],[f126,f7]) ).
fof(f126,plain,
type(or1(f(n2,a)),or),
inference(resolution,[],[f125,f37]) ).
fof(f37,axiom,
! [X8] :
( ~ type(X8,fulladder)
| type(or1(X8),or) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_or1) ).
fof(f511,plain,
( ~ mode(or1(f(n2,a)),ok)
| ~ value(in(n2,or1(f(n2,a))),n0)
| ~ value(in(n1,or1(f(n2,a))),n0)
| value(out(n1,or1(f(n2,a))),n0) ),
inference(resolution,[],[f14,f126]) ).
fof(f14,axiom,
! [X6] :
( ~ type(X6,or)
| ~ mode(X6,ok)
| ~ value(in(n2,X6),n0)
| ~ value(in(n1,X6),n0)
| value(out(n1,X6),n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_00_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.15 % Problem : HWV008-1.002 : TPTP v8.1.2. Bugfixed v2.2.0.
% 0.11/0.17 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.38 % Computer : n021.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Fri May 3 21:28:53 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.39 % (23702)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (23706)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.40 % (23705)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)
% 0.14/0.40 % (23703)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.40 % (23704)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40 % (23707)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.40 % (23708)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.41 % (23709)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)
% 0.14/0.41 TRYING [1]
% 0.14/0.41 TRYING [1]
% 0.14/0.42 Detected minimum model sizes of [1,1,1]
% 0.14/0.42 Detected maximum model sizes of [9,2,max]
% 0.14/0.42 TRYING [1,1,1]
% 0.14/0.42 Detected minimum model sizes of [1,1,1]
% 0.14/0.42 Detected maximum model sizes of [9,2,max]
% 0.14/0.42 TRYING [2]
% 0.14/0.42 TRYING [1,1,1]
% 0.14/0.42 % (23707)First to succeed.
% 0.14/0.42 TRYING [2]
% 0.14/0.42 TRYING [1,1,2]
% 0.14/0.42 % (23707)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23702"
% 0.14/0.42 TRYING [1,1,2]
% 0.14/0.42 % (23707)Refutation found. Thanks to Tanya!
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.42 % (23707)------------------------------
% 0.14/0.42 % (23707)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.42 % (23707)Termination reason: Refutation
% 0.14/0.42
% 0.14/0.42 % (23707)Memory used [KB]: 990
% 0.14/0.42 % (23707)Time elapsed: 0.014 s
% 0.14/0.42 % (23707)Instructions burned: 24 (million)
% 0.14/0.42 % (23702)Success in time 0.021 s
%------------------------------------------------------------------------------