TSTP Solution File: NUM756_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n003.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 : Fri Sep 1 20:22:16 EDT 2023
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 98 ( 48 ~; 23 |; 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 : 56 (; 56 !; 0 ?; 56 :)
% 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(f86,plain,
$false,
inference(resolution,[],[f85,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/sandbox2/tmp/tmp.KD09eeAy2B/Vampire---4.8_17887',e) ).
tff(f85,plain,
! [X2: frac] : ~ eq(pf(x,X2),pf(y,X2)),
inference(resolution,[],[f81,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/sandbox2/tmp/tmp.KD09eeAy2B/Vampire---4.8_17887',satz41b) ).
tff(f81,plain,
! [X0: frac] : lessf(pf(x,X0),pf(y,X0)),
inference(resolution,[],[f80,f34]) ).
tff(f34,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ lessf(X0,X1)
| lessf(pf(X0,X2),pf(X1,X2)) ),
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/sandbox2/tmp/tmp.KD09eeAy2B/Vampire---4.8_17887',satz62c) ).
tff(f80,plain,
lessf(x,y),
inference(subsumption_resolution,[],[f79,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/sandbox2/tmp/tmp.KD09eeAy2B/Vampire---4.8_17887',satz63b) ).
tff(f79,plain,
( eq(x,y)
| lessf(x,y) ),
inference(resolution,[],[f78,f28]) ).
tff(f78,plain,
! [X8: frac,X9: frac,X7: frac] :
( ~ eq(pf(X7,X9),pf(X8,X9))
| eq(X7,X8)
| lessf(X7,X8) ),
inference(resolution,[],[f75,f31]) ).
tff(f31,plain,
! [X0: frac,X1: frac] :
( ~ moref(X0,X1)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f75,plain,
! [X2: frac,X0: frac,X1: frac] :
( moref(pf(X0,X1),pf(X2,X1))
| lessf(X0,X2)
| eq(X0,X2) ),
inference(resolution,[],[f35,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/sandbox2/tmp/tmp.KD09eeAy2B/Vampire---4.8_17887',satz41a) ).
tff(f35,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ moref(X0,X1)
| moref(pf(X0,X2),pf(X1,X2)) ),
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/sandbox2/tmp/tmp.KD09eeAy2B/Vampire---4.8_17887',satz62a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM756_8 : TPTP v8.1.2. Released v8.0.0.
% 0.03/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 15:07:41 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.42 % (18025)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (18026)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.43 % (18028)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 Vampire---4 for (476ds/0Mi)
% 0.21/0.43 % (18031)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.21/0.43 % (18027)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.43 % (18030)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.21/0.43 % (18029)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43 % (18032)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.43 Detected minimum model sizes of [1,1]
% 0.21/0.43 Detected maximum model sizes of [max,2]
% 0.21/0.43 TRYING [1,1]
% 0.21/0.43 TRYING [1,2]
% 0.21/0.43 TRYING [2,2]
% 0.21/0.43 Detected minimum model sizes of [1,1,1]
% 0.21/0.43 Detected maximum model sizes of [max,1,2]
% 0.21/0.43 TRYING [1,1,1]
% 0.21/0.43 Detected minimum model sizes of [1,1,1]
% 0.21/0.43 Detected maximum model sizes of [max,1,2]
% 0.21/0.43 TRYING [1,1,1]
% 0.21/0.43 TRYING [1,1,2]
% 0.21/0.43 TRYING [3,2]
% 0.21/0.43 TRYING [1,1,2]
% 0.21/0.43 Detected minimum model sizes of [1,1]
% 0.21/0.43 Detected maximum model sizes of [max,2]
% 0.21/0.43 TRYING [1,1]
% 0.21/0.43 TRYING [2,1,2]
% 0.21/0.43 TRYING [2,1,2]
% 0.21/0.43 TRYING [1,2]
% 0.21/0.43 TRYING [2,2]
% 0.21/0.43 TRYING [3,1,2]
% 0.21/0.43 TRYING [3,1,2]
% 0.21/0.43 TRYING [4,2]
% 0.21/0.43 % (18030)First to succeed.
% 0.21/0.43 TRYING [3,2]
% 0.21/0.43 TRYING [4,1,2]
% 0.21/0.43 TRYING [4,1,2]
% 0.21/0.43 TRYING [4,2]
% 0.21/0.44 TRYING [5,2]
% 0.21/0.44 % (18030)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for Vampire---4
% 0.21/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (18030)------------------------------
% 0.21/0.44 % (18030)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (18030)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (18030)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (18030)Memory used [KB]: 895
% 0.21/0.44 % (18030)Time elapsed: 0.006 s
% 0.21/0.44 % (18030)------------------------------
% 0.21/0.44 % (18030)------------------------------
% 0.21/0.44 % (18025)Success in time 0.068 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------