TSTP Solution File: FLD037-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD037-1 : 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 : n025.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 05:08:00 EDT 2024
% Result : Unsatisfiable 0.15s 0.42s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 37 ~; 35 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3718,plain,
$false,
inference(avatar_sat_refutation,[],[f169,f734,f746,f759,f3701,f3717]) ).
fof(f3717,plain,
spl0_42,
inference(avatar_contradiction_clause,[],[f3705]) ).
fof(f3705,plain,
( $false
| spl0_42 ),
inference(resolution,[],[f3700,f31]) ).
fof(f31,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_4) ).
fof(f3700,plain,
( ~ equalish(a,b)
| spl0_42 ),
inference(avatar_component_clause,[],[f3698]) ).
fof(f3698,plain,
( spl0_42
<=> equalish(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f3701,plain,
( ~ spl0_4
| spl0_27
| ~ spl0_42
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f3640,f744,f3698,f731,f160]) ).
fof(f160,plain,
( spl0_4
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f731,plain,
( spl0_27
<=> equalish(a,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f744,plain,
( spl0_28
<=> ! [X0] :
( ~ equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(a)))
| ~ equalish(X0,b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f3640,plain,
( ~ equalish(a,b)
| equalish(a,additive_identity)
| ~ defined(a)
| ~ spl0_28 ),
inference(resolution,[],[f781,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(f781,plain,
( ! [X0] :
( ~ equalish(multiply(X0,multiplicative_inverse(a)),multiplicative_identity)
| ~ equalish(X0,b) )
| ~ spl0_28 ),
inference(resolution,[],[f745,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f745,plain,
( ! [X0] :
( ~ equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(a)))
| ~ equalish(X0,b) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f759,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f748,plain,
( $false
| ~ spl0_27 ),
inference(resolution,[],[f733,f30]) ).
fof(f30,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
fof(f733,plain,
( equalish(a,additive_identity)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f746,plain,
( ~ spl0_25
| spl0_28 ),
inference(avatar_split_clause,[],[f157,f744,f673]) ).
fof(f673,plain,
( spl0_25
<=> defined(multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f157,plain,
! [X0] :
( ~ equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(a)))
| ~ equalish(X0,b)
| ~ defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f46,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(f46,plain,
! [X0] :
( ~ equalish(X0,multiply(b,multiplicative_inverse(a)))
| ~ equalish(multiplicative_identity,X0) ),
inference(resolution,[],[f23,f32]) ).
fof(f32,axiom,
~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity_not_equal_to_multiply_5) ).
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(f734,plain,
( spl0_27
| ~ spl0_4
| spl0_25 ),
inference(avatar_split_clause,[],[f681,f673,f160,f731]) ).
fof(f681,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| spl0_25 ),
inference(resolution,[],[f675,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(f675,plain,
( ~ defined(multiplicative_inverse(a))
| spl0_25 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f169,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f168,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f162,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f162,plain,
( ~ defined(a)
| spl0_4 ),
inference(avatar_component_clause,[],[f160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : FLD037-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n025.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 19:44:23 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % (19479)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (19485)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.32 % (19481)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32 % (19486)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)
% 0.15/0.32 % (19484)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.32 % (19480)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32 % (19483)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.32 % (19482)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)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [4]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [5]
% 0.15/0.39 TRYING [5]
% 0.15/0.41 % (19482)First to succeed.
% 0.15/0.41 % (19482)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19479"
% 0.15/0.42 % (19482)Refutation found. Thanks to Tanya!
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.42 % (19482)------------------------------
% 0.15/0.42 % (19482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.42 % (19482)Termination reason: Refutation
% 0.15/0.42
% 0.15/0.42 % (19482)Memory used [KB]: 2008
% 0.15/0.42 % (19482)Time elapsed: 0.093 s
% 0.15/0.42 % (19482)Instructions burned: 205 (million)
% 0.15/0.42 % (19479)Success in time 0.096 s
%------------------------------------------------------------------------------