TSTP Solution File: NUM742_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM742_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 : n013.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 20:22:12 EDT 2023
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 25 ~; 25 |; 0 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 51 (; 51 !; 0 ?; 51 :)
% 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(pred_def_1,type,
lessf: ( frac * frac ) > $o ).
tff(pred_def_2,type,
eq: ( frac * frac ) > $o ).
tff(f84,plain,
$false,
inference(subsumption_resolution,[],[f83,f27]) ).
tff(f27,plain,
~ lessf(x,z),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
~ lessf(x,z),
inference(flattening,[],[f9]) ).
tff(f9,negated_conjecture,
~ lessf(x,z),
inference(negated_conjecture,[],[f8]) ).
tff(f8,conjecture,
lessf(x,z),
file('/export/starexec/sandbox/tmp/tmp.6Oy9qJFYLk/Vampire---4.8_10350',satz51a) ).
tff(f83,plain,
lessf(x,z),
inference(resolution,[],[f82,f28]) ).
tff(f28,plain,
lessf(y,z),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
lessf(y,z),
file('/export/starexec/sandbox/tmp/tmp.6Oy9qJFYLk/Vampire---4.8_10350',k) ).
tff(f82,plain,
! [X3: frac] :
( ~ lessf(y,X3)
| lessf(x,X3) ),
inference(subsumption_resolution,[],[f81,f33]) ).
tff(f33,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ lessf(X1,X2)
| lessf(X0,X2)
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ~ lessf(X0,X1) ),
inference(flattening,[],[f23]) ).
tff(f23,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X1)
=> ( lessf(X1,X2)
=> lessf(X0,X2) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac,X2: frac,X3: frac] :
( lessf(X1,X2)
=> ( lessf(X2,X3)
=> lessf(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.6Oy9qJFYLk/Vampire---4.8_10350',satz50) ).
tff(f81,plain,
! [X3: frac] :
( lessf(x,X3)
| ~ lessf(y,X3)
| lessf(x,y) ),
inference(resolution,[],[f76,f39]) ).
tff(f39,plain,
( eq(y,x)
| lessf(x,y) ),
inference(resolution,[],[f32,f29]) ).
tff(f29,plain,
( eq(x,y)
| lessf(x,y) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( eq(x,y)
| lessf(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ lessf(x,y)
=> eq(x,y) ),
file('/export/starexec/sandbox/tmp/tmp.6Oy9qJFYLk/Vampire---4.8_10350',l) ).
tff(f32,plain,
! [X0: frac,X1: frac] :
( ~ eq(X0,X1)
| eq(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: frac,X1: frac] :
( eq(X1,X0)
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: frac,X1: frac] :
( eq(X0,X1)
=> eq(X1,X0) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac] :
( eq(X1,X2)
=> eq(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.6Oy9qJFYLk/Vampire---4.8_10350',satz38) ).
tff(f76,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ eq(X2,X0)
| lessf(X0,X1)
| ~ lessf(X2,X1) ),
inference(resolution,[],[f34,f30]) ).
tff(f30,plain,
! [X0: frac] : eq(X0,X0),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: frac] : eq(X0,X0),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X1: frac] : eq(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.6Oy9qJFYLk/Vampire---4.8_10350',satz37) ).
tff(f34,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ~ eq(X1,X3)
| lessf(X2,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X0,X1)
=> ( eq(X0,X2)
=> ( eq(X1,X3)
=> lessf(X2,X3) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( lessf(X1,X2)
=> ( eq(X1,X3)
=> ( eq(X2,X4)
=> lessf(X3,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6Oy9qJFYLk/Vampire---4.8_10350',satz45) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM742_8 : TPTP v8.1.2. Released v8.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n013.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 14:57:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.42 % (10563)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (10603)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)
% 0.21/0.42 % (10601)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (10605)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.21/0.42 % (10607)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)
% 0.21/0.42 % (10606)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.21/0.43 % (10604)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 Detected minimum model sizes of [1,1]
% 0.21/0.43 Detected maximum model sizes of [3,2]
% 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]
% 0.21/0.43 Detected maximum model sizes of [3,2]
% 0.21/0.43 TRYING [1,1]
% 0.21/0.43 TRYING [3,2]
% 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]
% 0.21/0.43 Detected maximum model sizes of [3,2]
% 0.21/0.43 TRYING [1,1]
% 0.21/0.43 TRYING [3,2]
% 0.21/0.43 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.43 % (10601)Refutation not found, incomplete strategy% (10601)------------------------------
% 0.21/0.43 % (10601)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (10601)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (10601)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43 % (10599)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.43 % (10601)Memory used [KB]: 5373
% 0.21/0.43 % (10601)Time elapsed: 0.004 s
% 0.21/0.43 TRYING [1,2]
% 0.21/0.43 % (10601)------------------------------
% 0.21/0.43 % (10601)------------------------------
% 0.21/0.43 TRYING [2,2]
% 0.21/0.43 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.43 % (10607)Refutation not found, incomplete strategy% (10607)------------------------------
% 0.21/0.43 % (10607)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (10607)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (10607)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43 TRYING [3,2]
% 0.21/0.43
% 0.21/0.43 % (10607)Memory used [KB]: 5373
% 0.21/0.43 % (10607)Time elapsed: 0.004 s
% 0.21/0.43 % (10605)First to succeed.
% 0.21/0.43 % (10607)------------------------------
% 0.21/0.43 % (10607)------------------------------
% 0.21/0.43 Detected minimum model sizes of [1,1]
% 0.21/0.43 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.43 Detected maximum model sizes of [3,2]
% 0.21/0.43 TRYING [1,1]
% 0.21/0.43 % (10604)Refutation not found, incomplete strategy% (10604)------------------------------
% 0.21/0.43 % (10604)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (10604)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (10604)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43 % (10604)Memory used [KB]: 5373
% 0.21/0.43 % (10604)Time elapsed: 0.004 s
% 0.21/0.43 % (10604)------------------------------
% 0.21/0.43 % (10604)------------------------------
% 0.21/0.43 TRYING [1,2]
% 0.21/0.43 TRYING [2,2]
% 0.21/0.43 TRYING [3,2]
% 0.21/0.43 % (10606)Also succeeded, but the first one will report.
% 0.21/0.43 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.43 % (10599)Refutation not found, incomplete strategy% (10599)------------------------------
% 0.21/0.43 % (10599)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (10599)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (10599)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43 % (10599)Memory used [KB]: 5373
% 0.21/0.43 % (10599)Time elapsed: 0.004 s
% 0.21/0.43 % (10599)------------------------------
% 0.21/0.43 % (10599)------------------------------
% 0.21/0.43 % (10605)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (10605)------------------------------
% 0.21/0.43 % (10605)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (10605)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (10605)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (10605)Memory used [KB]: 895
% 0.21/0.43 % (10605)Time elapsed: 0.005 s
% 0.21/0.43 % (10605)------------------------------
% 0.21/0.43 % (10605)------------------------------
% 0.21/0.43 % (10563)Success in time 0.062 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------