TSTP Solution File: NUM647_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM647_8 : TPTP v8.1.2. Released v8.0.0.
% 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 08:41:38 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 7 unt; 5 typ; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 1 ( 1 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(func_def_2,type,
z: nat ).
tff(func_def_3,type,
pl: ( nat * nat ) > nat ).
tff(f65,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f16,f18]) ).
tff(f18,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( pl(X0,X1) != pl(X0,X2) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( pl(X0,X1) != pl(X0,X2) )
| ( X1 = X2 ) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( X1 != X2 )
=> ( pl(X0,X1) != pl(X0,X2) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: nat,X2: nat,X3: nat] :
( ( X2 != X3 )
=> ( pl(X1,X2) != pl(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz8) ).
tff(f16,plain,
pl(x,y) = pl(x,z),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
pl(x,y) = pl(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
tff(f15,plain,
y != z,
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
y != z,
inference(flattening,[],[f5]) ).
tff(f5,negated_conjecture,
( ~ y = z ),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
y = z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz8a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM647_8 : TPTP v8.1.2. Released v8.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n020.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 15:20:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (1054)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (1062)WARNING: value z3 for option sas not known
% 0.13/0.37 % (1063)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (1061)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (1065)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)
% 0.13/0.37 % (1064)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)
% 0.13/0.37 % (1066)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)
% 0.13/0.37 % (1062)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)
% 0.13/0.37 % (1060)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 Detected minimum model sizes of [1,1]
% 0.13/0.37 Detected maximum model sizes of [max,2]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [1,2]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [3,2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [4,2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (1066)First to succeed.
% 0.13/0.37 % (1065)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [5,2]
% 0.13/0.37 % (1066)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1054"
% 0.13/0.37 % (1064)Also succeeded, but the first one will report.
% 0.13/0.37 % (1062)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [6,2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 Detected minimum model sizes of [1,1]
% 0.13/0.37 Detected maximum model sizes of [max,2]
% 0.13/0.37 % (1066)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (1066)------------------------------
% 0.13/0.37 % (1066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (1066)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (1066)Memory used [KB]: 752
% 0.13/0.37 % (1066)Time elapsed: 0.004 s
% 0.13/0.37 % (1066)Instructions burned: 4 (million)
% 0.13/0.37 % (1054)Success in time 0.01 s
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