TSTP Solution File: FLD025-5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n018.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 14:28:04 EDT 2023
% Result : Unsatisfiable 0.23s 0.54s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 37 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 58 (; 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3171,plain,
$false,
inference(resolution,[],[f3152,f31]) ).
fof(f31,axiom,
defined(u),
file('/export/starexec/sandbox2/tmp/tmp.tHVFvmCTPi/Vampire---4.8_16945',u_is_defined) ).
fof(f3152,plain,
~ defined(u),
inference(resolution,[],[f3132,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.tHVFvmCTPi/Vampire---4.8_16945',existence_of_identity_multiplication) ).
fof(f3132,plain,
~ product(multiplicative_identity,u,u),
inference(resolution,[],[f2159,f35]) ).
fof(f35,axiom,
product(a,c,u),
file('/export/starexec/sandbox2/tmp/tmp.tHVFvmCTPi/Vampire---4.8_16945',product_9) ).
fof(f2159,plain,
! [X0] :
( ~ product(a,c,X0)
| ~ product(multiplicative_identity,X0,u) ),
inference(resolution,[],[f2097,f321]) ).
fof(f321,plain,
! [X2,X0,X1] :
( product(b,X0,X2)
| ~ product(a,X0,X1)
| ~ product(multiplicative_identity,X1,X2) ),
inference(resolution,[],[f177,f44]) ).
fof(f44,plain,
! [X2,X0,X1,X4,X5] :
( sP3(X5,X4,X0,X1)
| product(X4,X5,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( product(X4,X5,X2)
| ~ product(X0,X1,X2) )
<=> ~ sP3(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f177,plain,
! [X10,X9] :
( ~ sP3(X9,b,multiplicative_identity,X10)
| ~ product(a,X9,X10) ),
inference(resolution,[],[f45,f33]) ).
fof(f33,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/tmp/tmp.tHVFvmCTPi/Vampire---4.8_16945',product_7) ).
fof(f45,plain,
! [X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ sP3(X5,X4,X0,X1) ),
inference(general_splitting,[],[f7,f44_D]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.tHVFvmCTPi/Vampire---4.8_16945',associativity_multiplication_2) ).
fof(f2097,plain,
~ product(b,c,u),
inference(resolution,[],[f2051,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( product(X3,X0,X5)
| ~ product(X0,X3,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.tHVFvmCTPi/Vampire---4.8_16945',commutativity_multiplication) ).
fof(f2051,plain,
~ product(c,b,u),
inference(resolution,[],[f1978,f36]) ).
fof(f36,axiom,
product(d,b,v),
file('/export/starexec/sandbox2/tmp/tmp.tHVFvmCTPi/Vampire---4.8_16945',product_10) ).
fof(f1978,plain,
! [X0] :
( ~ product(d,X0,v)
| ~ product(c,X0,u) ),
inference(resolution,[],[f395,f37]) ).
fof(f37,axiom,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox2/tmp/tmp.tHVFvmCTPi/Vampire---4.8_16945',not_product_11) ).
fof(f395,plain,
! [X2,X0,X1] :
( product(multiplicative_identity,X1,X2)
| ~ product(c,X0,X1)
| ~ product(d,X0,X2) ),
inference(resolution,[],[f202,f46]) ).
fof(f46,plain,
! [X2,X0,X1,X4,X5] :
( sP4(X4,X0,X5,X1)
| product(X0,X1,X2)
| ~ product(X4,X5,X2) ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( product(X0,X1,X2)
| ~ product(X4,X5,X2) )
<=> ~ sP4(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f202,plain,
! [X11,X12] :
( ~ sP4(d,multiplicative_identity,X11,X12)
| ~ product(c,X11,X12) ),
inference(resolution,[],[f47,f34]) ).
fof(f34,axiom,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox2/tmp/tmp.tHVFvmCTPi/Vampire---4.8_16945',product_8) ).
fof(f47,plain,
! [X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ sP4(X4,X0,X5,X1) ),
inference(general_splitting,[],[f6,f46_D]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.tHVFvmCTPi/Vampire---4.8_16945',associativity_multiplication_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n018.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Aug 30 16:58:19 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.46 % (17060)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (17061)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.23/0.46 % (17062)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.46 % (17063)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)
% 0.23/0.46 % (17065)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.23/0.46 % (17066)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.23/0.46 % (17067)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)
% 0.23/0.46 TRYING [1]
% 0.23/0.46 TRYING [2]
% 0.23/0.46 % (17064)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.46 TRYING [1]
% 0.23/0.46 TRYING [3]
% 0.23/0.46 TRYING [2]
% 0.23/0.46 TRYING [1]
% 0.23/0.46 TRYING [2]
% 0.23/0.46 TRYING [1]
% 0.23/0.46 TRYING [2]
% 0.23/0.46 TRYING [3]
% 0.23/0.46 TRYING [3]
% 0.23/0.47 TRYING [3]
% 0.23/0.47 TRYING [4]
% 0.23/0.48 TRYING [4]
% 0.23/0.48 TRYING [4]
% 0.23/0.48 TRYING [4]
% 0.23/0.49 TRYING [5]
% 0.23/0.51 TRYING [5]
% 0.23/0.51 TRYING [5]
% 0.23/0.53 TRYING [5]
% 0.23/0.54 % (17063)First to succeed.
% 0.23/0.54 TRYING [6]
% 0.23/0.54 % (17063)Refutation found. Thanks to Tanya!
% 0.23/0.54 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.54 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.54 % (17063)------------------------------
% 0.23/0.54 % (17063)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.54 % (17063)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.54 % (17063)Termination reason: Refutation
% 0.23/0.54
% 0.23/0.54 % (17063)Memory used [KB]: 6908
% 0.23/0.54 % (17063)Time elapsed: 0.078 s
% 0.23/0.54 % (17063)------------------------------
% 0.23/0.54 % (17063)------------------------------
% 0.23/0.54 % (17060)Success in time 0.149 s
% 0.23/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------