TSTP Solution File: FLD009-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD009-1 : 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 : n023.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 : Tue Apr 30 11:06:12 EDT 2024
% Result : Unsatisfiable 99.22s 14.59s
% Output : Refutation 99.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 41 ( 8 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 121 ( 61 ~; 54 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186124,plain,
$false,
inference(avatar_sat_refutation,[],[f119,f446,f3395,f132803,f185562,f185996,f186123]) ).
fof(f186123,plain,
( spl0_7
| ~ spl0_4
| spl0_417 ),
inference(avatar_split_clause,[],[f186122,f185993,f110,f283]) ).
fof(f283,plain,
( spl0_7
<=> equalish(a,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f110,plain,
( spl0_4
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f185993,plain,
( spl0_417
<=> defined(multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f186122,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| spl0_417 ),
inference(resolution,[],[f185995,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f185995,plain,
( ~ defined(multiplicative_inverse(a))
| spl0_417 ),
inference(avatar_component_clause,[],[f185993]) ).
fof(f185996,plain,
( ~ spl0_4
| spl0_7
| ~ spl0_417
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f185811,f185560,f185993,f283,f110]) ).
fof(f185560,plain,
( spl0_416
<=> ! [X0] :
( ~ equalish(multiply(a,X0),multiplicative_identity)
| ~ defined(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f185811,plain,
( ~ defined(multiplicative_inverse(a))
| equalish(a,additive_identity)
| ~ defined(a)
| ~ spl0_416 ),
inference(resolution,[],[f185561,f7]) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| equalish(X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f185561,plain,
( ! [X0] :
( ~ equalish(multiply(a,X0),multiplicative_identity)
| ~ defined(X0) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f185560]) ).
fof(f185562,plain,
( ~ spl0_12
| ~ spl0_4
| spl0_416
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f132805,f132801,f185560,f110,f433]) ).
fof(f433,plain,
( spl0_12
<=> defined(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f132801,plain,
( spl0_304
<=> ! [X0,X1] :
( ~ equalish(multiply(a,X0),multiply(X1,b))
| ~ equalish(X1,multiplicative_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f132805,plain,
( ! [X0] :
( ~ equalish(multiply(a,X0),multiplicative_identity)
| ~ defined(X0)
| ~ defined(a)
| ~ defined(b) )
| ~ spl0_304 ),
inference(resolution,[],[f132802,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2))
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication) ).
fof(f132802,plain,
( ! [X0,X1] :
( ~ equalish(multiply(a,X0),multiply(X1,b))
| ~ equalish(X1,multiplicative_identity) )
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f132801]) ).
fof(f132803,plain,
( ~ spl0_12
| spl0_304 ),
inference(avatar_split_clause,[],[f23054,f132801,f433]) ).
fof(f23054,plain,
! [X0,X1] :
( ~ equalish(multiply(a,X0),multiply(X1,b))
| ~ equalish(X1,multiplicative_identity)
| ~ defined(b) ),
inference(duplicate_literal_removal,[],[f23001]) ).
fof(f23001,plain,
! [X0,X1] :
( ~ equalish(multiply(a,X0),multiply(X1,b))
| ~ equalish(X1,multiplicative_identity)
| ~ defined(b)
| ~ defined(b) ),
inference(resolution,[],[f732,f6]) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f732,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(a,X2),multiply(X3,X1))
| ~ equalish(multiply(X0,X1),b)
| ~ equalish(X3,X0)
| ~ defined(X1) ),
inference(resolution,[],[f147,f25]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ equalish(X0,b)
| ~ equalish(multiply(a,X1),X2)
| ~ equalish(X2,X0) ),
inference(resolution,[],[f44,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f44,plain,
! [X0,X1] :
( ~ equalish(multiply(a,X0),X1)
| ~ equalish(X1,b) ),
inference(resolution,[],[f23,f31]) ).
fof(f31,axiom,
! [X0] : ~ equalish(multiply(a,X0),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_not_equal_to_b_4) ).
fof(f3395,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f3359]) ).
fof(f3359,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f285,f30]) ).
fof(f30,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
fof(f285,plain,
( equalish(a,additive_identity)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f446,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f435,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f435,plain,
( ~ defined(b)
| spl0_12 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f119,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f118,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f112,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f112,plain,
( ~ defined(a)
| spl0_4 ),
inference(avatar_component_clause,[],[f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD009-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 03:35:40 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (3870)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (3876)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.35 % (3875)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.18/0.35 % (3872)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.35 % (3877)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)
% 0.18/0.36 % (3874)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.18/0.36 % (3873)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)
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 TRYING [3]
% 0.18/0.36 TRYING [3]
% 0.18/0.36 % (3871)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.36 TRYING [3]
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 TRYING [3]
% 0.18/0.37 TRYING [4]
% 0.18/0.37 TRYING [4]
% 0.18/0.37 TRYING [4]
% 0.18/0.38 TRYING [4]
% 0.18/0.41 TRYING [5]
% 0.18/0.42 TRYING [5]
% 0.18/0.42 TRYING [5]
% 0.18/0.42 TRYING [5]
% 0.18/0.51 TRYING [6]
% 0.18/0.52 TRYING [6]
% 0.18/0.55 TRYING [6]
% 1.59/0.57 TRYING [6]
% 3.06/0.77 TRYING [7]
% 4.33/0.96 TRYING [7]
% 4.83/1.02 TRYING [7]
% 4.83/1.03 TRYING [7]
% 15.19/2.60 TRYING [8]
% 15.89/2.65 TRYING [8]
% 15.89/2.67 TRYING [8]
% 26.89/4.21 TRYING [8]
% 80.97/11.95 TRYING [9]
% 99.22/14.58 % (3873)First to succeed.
% 99.22/14.59 % (3873)Refutation found. Thanks to Tanya!
% 99.22/14.59 % SZS status Unsatisfiable for theBenchmark
% 99.22/14.59 % SZS output start Proof for theBenchmark
% See solution above
% 99.22/14.59 % (3873)------------------------------
% 99.22/14.59 % (3873)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 99.22/14.59 % (3873)Termination reason: Refutation
% 99.22/14.59
% 99.22/14.59 % (3873)Memory used [KB]: 77618
% 99.22/14.59 % (3873)Time elapsed: 14.222 s
% 99.22/14.59 % (3873)Instructions burned: 41553 (million)
% 99.22/14.59 % (3873)------------------------------
% 99.22/14.59 % (3873)------------------------------
% 99.22/14.59 % (3870)Success in time 14.209 s
%------------------------------------------------------------------------------