TSTP Solution File: FLD027-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD027-3 : 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 : n007.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 05:07:57 EDT 2024
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 61 ( 28 ~; 33 |; 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5236,plain,
$false,
inference(subsumption_resolution,[],[f5228,f32]) ).
fof(f32,axiom,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_6) ).
fof(f5228,plain,
product(multiplicative_identity,a,b),
inference(resolution,[],[f5190,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(f5190,plain,
product(a,multiplicative_identity,b),
inference(subsumption_resolution,[],[f5189,f29]) ).
fof(f29,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f5189,plain,
( product(a,multiplicative_identity,b)
| sum(additive_identity,a,additive_identity) ),
inference(subsumption_resolution,[],[f5188,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f5188,plain,
( product(a,multiplicative_identity,b)
| ~ defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(subsumption_resolution,[],[f5177,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f5177,plain,
( product(a,multiplicative_identity,b)
| ~ defined(b)
| ~ defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[],[f428,f956]) ).
fof(f956,plain,
product(multiplicative_inverse(a),b,multiplicative_identity),
inference(subsumption_resolution,[],[f953,f28]) ).
fof(f953,plain,
( product(multiplicative_inverse(a),b,multiplicative_identity)
| ~ defined(b) ),
inference(resolution,[],[f824,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f824,plain,
! [X0] :
( ~ product(multiplicative_identity,b,X0)
| product(multiplicative_inverse(a),X0,multiplicative_identity) ),
inference(subsumption_resolution,[],[f823,f28]) ).
fof(f823,plain,
! [X0] :
( ~ product(multiplicative_identity,b,X0)
| product(multiplicative_inverse(a),X0,multiplicative_identity)
| ~ defined(b) ),
inference(subsumption_resolution,[],[f818,f30]) ).
fof(f30,axiom,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
fof(f818,plain,
! [X0] :
( ~ product(multiplicative_identity,b,X0)
| product(multiplicative_inverse(a),X0,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(resolution,[],[f152,f35]) ).
fof(f35,plain,
product(multiplicative_inverse(a),multiplicative_identity,multiplicative_inverse(b)),
inference(resolution,[],[f10,f31]) ).
fof(f31,axiom,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_5) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,multiplicative_inverse(X1))
| ~ product(X0,X1,X2)
| product(X3,X2,multiplicative_identity)
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
inference(resolution,[],[f6,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(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(f428,plain,
! [X2,X0,X1] :
( ~ product(multiplicative_inverse(X0),X1,X2)
| product(X0,X2,X1)
| ~ defined(X1)
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity) ),
inference(resolution,[],[f150,f58]) ).
fof(f58,plain,
! [X0] :
( product(X0,multiplicative_inverse(X0),multiplicative_identity)
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity) ),
inference(resolution,[],[f9,f10]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,multiplicative_identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1)
| ~ defined(X1) ),
inference(resolution,[],[f6,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD027-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.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 : Fri May 3 19:47:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (22955)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (22959)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 % (22958)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)
% 0.20/0.37 TRYING [3]
% 0.20/0.37 % (22956)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37 % (22957)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (22961)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37 % (22960)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37 % (22962)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)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [3]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.40 TRYING [5]
% 0.20/0.42 TRYING [5]
% 0.20/0.42 TRYING [5]
% 0.20/0.43 TRYING [5]
% 0.20/0.46 TRYING [6]
% 0.20/0.48 % (22961)First to succeed.
% 0.20/0.48 % (22961)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22955"
% 0.20/0.48 % (22961)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (22961)------------------------------
% 0.20/0.48 % (22961)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.48 % (22961)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (22961)Memory used [KB]: 2428
% 0.20/0.48 % (22961)Time elapsed: 0.111 s
% 0.20/0.48 % (22961)Instructions burned: 210 (million)
% 0.20/0.48 % (22955)Success in time 0.127 s
%------------------------------------------------------------------------------