TSTP Solution File: FLD050-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD050-4 : 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 : n017.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 11:06:28 EDT 2024
% Result : Unsatisfiable 38.16s 5.87s
% Output : Refutation 38.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 17 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 31 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200178,plain,
$false,
inference(subsumption_resolution,[],[f200159,f38]) ).
fof(f38,axiom,
~ product(c,multiplicative_inverse(d),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_12) ).
fof(f200159,plain,
product(c,multiplicative_inverse(d),s),
inference(resolution,[],[f41375,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f41375,plain,
product(multiplicative_inverse(d),c,s),
inference(subsumption_resolution,[],[f41364,f32]) ).
fof(f32,axiom,
defined(s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_is_defined) ).
fof(f41364,plain,
( ~ defined(s)
| product(multiplicative_inverse(d),c,s) ),
inference(resolution,[],[f41310,f9134]) ).
fof(f9134,plain,
! [X0,X1] :
( ~ product(d,X1,X0)
| ~ defined(X1)
| product(multiplicative_inverse(d),X0,X1) ),
inference(subsumption_resolution,[],[f9098,f34]) ).
fof(f34,axiom,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_8) ).
fof(f9098,plain,
! [X0,X1] :
( product(multiplicative_inverse(d),X0,X1)
| ~ defined(X1)
| sum(additive_identity,d,additive_identity)
| ~ product(d,X1,X0) ),
inference(resolution,[],[f889,f30]) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f889,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| product(multiplicative_inverse(X0),X2,X1)
| ~ defined(X1)
| sum(additive_identity,X0,additive_identity)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f211,f9]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,multiplicative_identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1)
| ~ defined(X1) ),
inference(resolution,[],[f6,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
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/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f41310,plain,
product(d,s,c),
inference(resolution,[],[f41254,f10]) ).
fof(f41254,plain,
product(s,d,c),
inference(resolution,[],[f32398,f3529]) ).
fof(f3529,plain,
! [X0] :
( ~ product(multiplicative_inverse(b),k,X0)
| product(s,d,X0) ),
inference(resolution,[],[f230,f36]) ).
fof(f36,axiom,
product(a,d,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_10) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ product(a,X0,X1)
| ~ product(multiplicative_inverse(b),X1,X2)
| product(s,X0,X2) ),
inference(resolution,[],[f7,f44]) ).
fof(f44,plain,
product(multiplicative_inverse(b),a,s),
inference(resolution,[],[f10,f35]) ).
fof(f35,axiom,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_9) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X0,X1,X2)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f32398,plain,
product(multiplicative_inverse(b),k,c),
inference(subsumption_resolution,[],[f32387,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f32387,plain,
( ~ defined(c)
| product(multiplicative_inverse(b),k,c) ),
inference(resolution,[],[f9133,f37]) ).
fof(f37,axiom,
product(b,c,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_11) ).
fof(f9133,plain,
! [X0,X1] :
( ~ product(b,X1,X0)
| ~ defined(X1)
| product(multiplicative_inverse(b),X0,X1) ),
inference(subsumption_resolution,[],[f9096,f33]) ).
fof(f33,axiom,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
fof(f9096,plain,
! [X0,X1] :
( product(multiplicative_inverse(b),X0,X1)
| ~ defined(X1)
| sum(additive_identity,b,additive_identity)
| ~ product(b,X1,X0) ),
inference(resolution,[],[f889,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD050-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 02:55:33 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (7075)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (7079)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (7076)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (7078)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)
% 0.14/0.38 % (7080)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (7082)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)
% 0.14/0.38 % (7081)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (7077)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.43 TRYING [5]
% 0.14/0.43 TRYING [5]
% 0.22/0.44 TRYING [5]
% 0.22/0.47 TRYING [5]
% 0.22/0.54 TRYING [6]
% 0.22/0.54 TRYING [6]
% 2.14/0.68 TRYING [6]
% 2.14/0.70 TRYING [7]
% 2.65/0.73 TRYING [7]
% 2.65/0.73 TRYING [6]
% 2.99/0.83 TRYING [7]
% 3.74/0.88 TRYING [7]
% 5.96/1.21 TRYING [8]
% 6.24/1.26 TRYING [8]
% 6.24/1.30 TRYING [8]
% 11.53/2.07 TRYING [8]
% 21.83/3.48 TRYING [9]
% 23.29/3.68 TRYING [9]
% 23.64/3.74 TRYING [9]
% 28.15/4.38 TRYING [9]
% 38.16/5.86 % (7081)First to succeed.
% 38.16/5.87 % (7081)Refutation found. Thanks to Tanya!
% 38.16/5.87 % SZS status Unsatisfiable for theBenchmark
% 38.16/5.87 % SZS output start Proof for theBenchmark
% See solution above
% 38.16/5.87 % (7081)------------------------------
% 38.16/5.87 % (7081)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 38.16/5.87 % (7081)Termination reason: Refutation
% 38.16/5.87
% 38.16/5.87 % (7081)Memory used [KB]: 59899
% 38.16/5.87 % (7081)Time elapsed: 5.483 s
% 38.16/5.87 % (7081)Instructions burned: 17212 (million)
% 38.16/5.87 % (7081)------------------------------
% 38.16/5.87 % (7081)------------------------------
% 38.16/5.87 % (7075)Success in time 5.407 s
%------------------------------------------------------------------------------