TSTP Solution File: NUM756_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM756_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n010.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 : Thu Aug 31 12:15:10 EDT 2023
% Result : Theorem 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 100 ( 52 ~; 21 |; 4 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 54 (; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
frac: $tType ).
tff(func_def_0,type,
x: frac ).
tff(func_def_1,type,
y: frac ).
tff(func_def_2,type,
z: frac ).
tff(func_def_3,type,
pf: ( frac * frac ) > frac ).
tff(pred_def_1,type,
eq: ( frac * frac ) > $o ).
tff(pred_def_2,type,
lessf: ( frac * frac ) > $o ).
tff(pred_def_3,type,
moref: ( frac * frac ) > $o ).
tff(f60,plain,
$false,
inference(subsumption_resolution,[],[f59,f27]) ).
tff(f27,plain,
~ eq(x,y),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
~ eq(x,y),
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
~ eq(x,y),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
eq(x,y),
file('/export/starexec/sandbox/tmp/tmp.2evUER08Lc/Vampire---4.8_22301',satz63b) ).
tff(f59,plain,
eq(x,y),
inference(subsumption_resolution,[],[f58,f55]) ).
tff(f55,plain,
~ lessf(x,y),
inference(resolution,[],[f52,f28]) ).
tff(f28,plain,
eq(pf(x,z),pf(y,z)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
eq(pf(x,z),pf(y,z)),
file('/export/starexec/sandbox/tmp/tmp.2evUER08Lc/Vampire---4.8_22301',e) ).
tff(f52,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ eq(pf(X0,X2),pf(X1,X2))
| ~ lessf(X0,X1) ),
inference(resolution,[],[f34,f33]) ).
tff(f33,plain,
! [X0: frac,X1: frac] :
( ~ lessf(X0,X1)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: frac,X1: frac] :
( ( ~ eq(X0,X1)
| ~ lessf(X0,X1) )
& ( ~ lessf(X0,X1)
| ~ moref(X0,X1) )
& ( ~ moref(X0,X1)
| ~ eq(X0,X1) ) ),
inference(flattening,[],[f23]) ).
tff(f23,plain,
! [X0: frac,X1: frac] :
( ( ~ eq(X0,X1)
| ~ lessf(X0,X1) )
& ( ~ lessf(X0,X1)
| ~ moref(X0,X1) )
& ( ~ moref(X0,X1)
| ~ eq(X0,X1) ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: frac,X1: frac] :
~ ( ( eq(X0,X1)
=> ~ moref(X0,X1) )
=> ( ( moref(X0,X1)
=> ~ lessf(X0,X1) )
=> ~ ( lessf(X0,X1)
=> ~ eq(X0,X1) ) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
! [X0: frac,X1: frac] :
~ ( ( eq(X0,X1)
=> ~ moref(X0,X1) )
=> ~ ~ ( ( moref(X0,X1)
=> ~ lessf(X0,X1) )
=> ~ ( lessf(X0,X1)
=> ~ eq(X0,X1) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: frac,X2: frac] :
~ ( ( eq(X1,X2)
=> ~ moref(X1,X2) )
=> ~ ~ ( ( moref(X1,X2)
=> ~ lessf(X1,X2) )
=> ~ ( lessf(X1,X2)
=> ~ eq(X1,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2evUER08Lc/Vampire---4.8_22301',satz41b) ).
tff(f34,plain,
! [X2: frac,X0: frac,X1: frac] :
( lessf(pf(X0,X2),pf(X1,X2))
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(pf(X0,X2),pf(X1,X2))
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X1)
=> lessf(pf(X0,X2),pf(X1,X2)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: frac,X2: frac,X3: frac] :
( lessf(X1,X2)
=> lessf(pf(X1,X3),pf(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.2evUER08Lc/Vampire---4.8_22301',satz62c) ).
tff(f58,plain,
( lessf(x,y)
| eq(x,y) ),
inference(resolution,[],[f57,f30]) ).
tff(f30,plain,
! [X0: frac,X1: frac] :
( moref(X0,X1)
| lessf(X0,X1)
| eq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: frac,X1: frac] :
( lessf(X0,X1)
| moref(X0,X1)
| eq(X0,X1) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
! [X0: frac,X1: frac] :
( lessf(X0,X1)
| moref(X0,X1)
| eq(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: frac,X1: frac] :
( ~ eq(X0,X1)
=> ( ~ moref(X0,X1)
=> lessf(X0,X1) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac] :
( ~ eq(X1,X2)
=> ( ~ moref(X1,X2)
=> lessf(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.2evUER08Lc/Vampire---4.8_22301',satz41a) ).
tff(f57,plain,
~ moref(x,y),
inference(resolution,[],[f54,f28]) ).
tff(f54,plain,
! [X3: frac,X4: frac,X5: frac] :
( ~ eq(pf(X3,X5),pf(X4,X5))
| ~ moref(X3,X4) ),
inference(resolution,[],[f35,f31]) ).
tff(f31,plain,
! [X0: frac,X1: frac] :
( ~ moref(X0,X1)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f35,plain,
! [X2: frac,X0: frac,X1: frac] :
( moref(pf(X0,X2),pf(X1,X2))
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: frac,X1: frac,X2: frac] :
( moref(pf(X0,X2),pf(X1,X2))
| ~ moref(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: frac,X1: frac,X2: frac] :
( moref(X0,X1)
=> moref(pf(X0,X2),pf(X1,X2)) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac,X2: frac,X3: frac] :
( moref(X1,X2)
=> moref(pf(X1,X3),pf(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.2evUER08Lc/Vampire---4.8_22301',satz62a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM756_8 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n010.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 25 10:56:05 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TX0_THM_NEQ_NAR problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.2evUER08Lc/Vampire---4.8_22301
% 0.16/0.38 % (22428)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (22434)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.44 % (22430)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.23/0.44 % (22432)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.23/0.44 % (22433)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.23/0.44 % (22436)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.23/0.44 % (22429)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.23/0.44 % (22434)First to succeed.
% 0.23/0.44 % (22436)Also succeeded, but the first one will report.
% 0.23/0.44 % (22435)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.23/0.44 % (22433)Also succeeded, but the first one will report.
% 0.23/0.44 % (22434)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Theorem for Vampire---4
% 0.23/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44 % (22434)------------------------------
% 0.23/0.44 % (22434)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (22434)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (22434)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (22434)Memory used [KB]: 5373
% 0.23/0.44 % (22434)Time elapsed: 0.005 s
% 0.23/0.44 % (22434)------------------------------
% 0.23/0.44 % (22434)------------------------------
% 0.23/0.44 % (22428)Success in time 0.063 s
% 0.23/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------