TSTP Solution File: NUM653_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM653_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 : 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 08:41:41 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 9 unt; 5 typ; 0 def)
% Number of atoms : 49 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 41 ~; 10 |; 4 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(pred_def_1,type,
less: ( nat * nat ) > $o ).
tff(pred_def_2,type,
more: ( nat * nat ) > $o ).
tff(f34,plain,
$false,
inference(resolution,[],[f33,f26]) ).
tff(f26,plain,
! [X1: nat] : ~ more(X1,X1),
inference(equality_resolution,[],[f21]) ).
tff(f21,plain,
! [X0: nat,X1: nat] :
( ~ more(X0,X1)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
inference(flattening,[],[f12]) ).
tff(f12,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ~ ~ ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: nat,X2: nat] :
~ ( ( ( X1 = X2 )
=> ~ more(X1,X2) )
=> ~ ~ ( ( more(X1,X2)
=> ~ less(X1,X2) )
=> ~ ( less(X1,X2)
=> ( X1 != X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10b) ).
tff(f33,plain,
more(x,x),
inference(backward_demodulation,[],[f18,f31]) ).
tff(f31,plain,
x = y,
inference(resolution,[],[f30,f19]) ).
tff(f19,plain,
( less(x,y)
| ( x = y ) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ( x = y )
| less(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ less(x,y)
=> ( x = y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
tff(f30,plain,
~ less(x,y),
inference(resolution,[],[f22,f18]) ).
tff(f22,plain,
! [X0: nat,X1: nat] :
( ~ more(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f18,plain,
more(x,y),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
more(x,y),
inference(flattening,[],[f5]) ).
tff(f5,negated_conjecture,
~ ~ more(x,y),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
~ more(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM653_8 : TPTP v8.1.2. Released v8.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 15:23:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (27016)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (27020)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (27019)WARNING: value z3 for option sas not known
% 0.21/0.37 Detected minimum model sizes of [1,1]
% 0.21/0.37 Detected maximum model sizes of [2,2]
% 0.21/0.37 TRYING [1,1]
% 0.21/0.37 TRYING [1,2]
% 0.21/0.37 TRYING [2,2]
% 0.21/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.37 % (27020)Refutation not found, incomplete strategy% (27020)------------------------------
% 0.21/0.37 % (27020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.37 % (27020)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37
% 0.21/0.37 % (27020)Memory used [KB]: 726
% 0.21/0.37 % (27020)Time elapsed: 0.003 s
% 0.21/0.37 % (27020)Instructions burned: 2 (million)
% 0.21/0.37 % (27017)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (27018)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (27020)------------------------------
% 0.21/0.37 % (27020)------------------------------
% 0.21/0.37 % (27021)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)
% 0.21/0.37 % (27019)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)
% 0.21/0.37 % (27022)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)
% 0.21/0.37 % (27023)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)
% 0.21/0.37 Detected minimum model sizes of [1]
% 0.21/0.37 Detected maximum model sizes of [6]
% 0.21/0.37 TRYING [1]
% 0.21/0.37 % (27022)First to succeed.
% 0.21/0.37 % (27023)Also succeeded, but the first one will report.
% 0.21/0.37 TRYING [2]
% 0.21/0.37 % (27017)Also succeeded, but the first one will report.
% 0.21/0.37 % (27021)Also succeeded, but the first one will report.
% 0.21/0.37 % (27022)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27016"
% 0.21/0.37 % (27019)Also succeeded, but the first one will report.
% 0.21/0.37 % (27022)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (27022)------------------------------
% 0.21/0.37 % (27022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.37 % (27022)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (27022)Memory used [KB]: 749
% 0.21/0.37 % (27022)Time elapsed: 0.004 s
% 0.21/0.37 % (27022)Instructions burned: 3 (million)
% 0.21/0.37 % (27016)Success in time 0.018 s
%------------------------------------------------------------------------------