TSTP Solution File: FLD025-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD025-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 05:07:56 EDT 2024
% Result : Unsatisfiable 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 45 ( 9 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 104 ( 52 ~; 46 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1031,plain,
$false,
inference(avatar_sat_refutation,[],[f232,f234,f237,f289,f970,f1030]) ).
fof(f1030,plain,
( ~ spl9_7
| ~ spl9_8
| spl9_15 ),
inference(avatar_split_clause,[],[f1001,f967,f229,f225]) ).
fof(f225,plain,
( spl9_7
<=> defined(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f229,plain,
( spl9_8
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f967,plain,
( spl9_15
<=> product(c,a,multiply(a,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).
fof(f1001,plain,
( ~ defined(a)
| ~ defined(c)
| spl9_15 ),
inference(resolution,[],[f975,f20]) ).
fof(f20,axiom,
! [X3,X0] :
( product(X0,X3,multiply(X0,X3))
| ~ defined(X0)
| ~ defined(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f975,plain,
( ~ product(a,c,multiply(a,c))
| spl9_15 ),
inference(resolution,[],[f969,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( product(X3,X0,X5)
| ~ product(X0,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f969,plain,
( ~ product(c,a,multiply(a,c))
| spl9_15 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f970,plain,
( ~ spl9_5
| ~ spl9_15
| spl9_12 ),
inference(avatar_split_clause,[],[f898,f286,f967,f214]) ).
fof(f214,plain,
( spl9_5
<=> defined(multiply(a,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f286,plain,
( spl9_12
<=> product(a,d,multiply(a,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f898,plain,
( ~ product(c,a,multiply(a,c))
| ~ defined(multiply(a,c))
| spl9_12 ),
inference(resolution,[],[f754,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f754,plain,
( ! [X0] :
( ~ product(multiplicative_identity,X0,multiply(a,c))
| ~ product(c,a,X0) )
| spl9_12 ),
inference(resolution,[],[f145,f291]) ).
fof(f291,plain,
( ~ product(d,a,multiply(a,c))
| spl9_12 ),
inference(resolution,[],[f288,f10]) ).
fof(f288,plain,
( ~ product(a,d,multiply(a,c))
| spl9_12 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f145,plain,
! [X2,X0,X1] :
( product(d,X0,X2)
| ~ product(c,X0,X1)
| ~ product(multiplicative_identity,X1,X2) ),
inference(resolution,[],[f121,f36]) ).
fof(f36,plain,
! [X2,X0,X1,X4,X5] :
( sP1(X5,X4,X0,X1)
| product(X4,X5,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( product(X4,X5,X2)
| ~ product(X0,X1,X2) )
<=> ~ sP1(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f121,plain,
! [X0,X1] :
( ~ sP1(X0,d,multiplicative_identity,X1)
| ~ product(c,X0,X1) ),
inference(resolution,[],[f37,f32]) ).
fof(f32,axiom,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_6) ).
fof(f37,plain,
! [X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ sP1(X5,X4,X0,X1) ),
inference(general_splitting,[],[f7,f36_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/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f289,plain,
( ~ spl9_5
| ~ spl9_12 ),
inference(avatar_split_clause,[],[f279,f286,f214]) ).
fof(f279,plain,
( ~ product(a,d,multiply(a,c))
| ~ defined(multiply(a,c)) ),
inference(resolution,[],[f272,f8]) ).
fof(f272,plain,
! [X0] :
( ~ product(multiplicative_identity,X0,multiply(a,c))
| ~ product(a,d,X0) ),
inference(resolution,[],[f130,f53]) ).
fof(f53,plain,
~ product(b,d,multiply(a,c)),
inference(resolution,[],[f10,f33]) ).
fof(f33,axiom,
~ product(d,b,multiply(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_7) ).
fof(f130,plain,
! [X2,X0,X1] :
( product(b,X0,X2)
| ~ product(a,X0,X1)
| ~ product(multiplicative_identity,X1,X2) ),
inference(resolution,[],[f120,f36]) ).
fof(f120,plain,
! [X0,X1] :
( ~ sP1(X0,b,multiplicative_identity,X1)
| ~ product(a,X0,X1) ),
inference(resolution,[],[f37,f31]) ).
fof(f31,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_5) ).
fof(f237,plain,
spl9_8,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| spl9_8 ),
inference(resolution,[],[f231,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f231,plain,
( ~ defined(a)
| spl9_8 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f234,plain,
spl9_7,
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f233,plain,
( $false
| spl9_7 ),
inference(resolution,[],[f227,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f227,plain,
( ~ defined(c)
| spl9_7 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f232,plain,
( ~ spl9_7
| ~ spl9_8
| spl9_5 ),
inference(avatar_split_clause,[],[f222,f214,f229,f225]) ).
fof(f222,plain,
( ~ defined(a)
| ~ defined(c)
| spl9_5 ),
inference(resolution,[],[f216,f16]) ).
fof(f16,axiom,
! [X3,X0] :
( defined(multiply(X0,X3))
| ~ defined(X0)
| ~ defined(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f216,plain,
( ~ defined(multiply(a,c))
| spl9_5 ),
inference(avatar_component_clause,[],[f214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : FLD025-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n014.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 : Fri May 3 19:48:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (30569)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (30570)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (30571)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (30572)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 theBenchmark for (476ds/0Mi)
% 0.22/0.38 % (30574)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (30573)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (30575)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (30576)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 % (30572)First to succeed.
% 0.22/0.41 % (30572)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30569"
% 0.22/0.41 % (30572)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (30572)------------------------------
% 0.22/0.41 % (30572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41 % (30572)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (30572)Memory used [KB]: 1240
% 0.22/0.41 % (30572)Time elapsed: 0.029 s
% 0.22/0.41 % (30572)Instructions burned: 48 (million)
% 0.22/0.41 % (30569)Success in time 0.046 s
%------------------------------------------------------------------------------