TSTP Solution File: FLD049-4 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD049-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n001.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 : Fri Sep 1 14:28:09 EDT 2023
% Result : Unsatisfiable 216.24s 31.44s
% Output : Refutation 216.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 38 ( 25 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 21 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 29 (; 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3475249,plain,
$false,
inference(subsumption_resolution,[],[f3475248,f38]) ).
fof(f38,axiom,
~ product(b,c,k),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',not_product_12) ).
fof(f3475248,plain,
product(b,c,k),
inference(resolution,[],[f3475214,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',commutativity_multiplication) ).
fof(f3475214,plain,
product(c,b,k),
inference(resolution,[],[f3475213,f3470382]) ).
fof(f3470382,plain,
! [X6] :
( ~ product(d,s,X6)
| product(X6,b,k) ),
inference(resolution,[],[f3470376,f5399]) ).
fof(f5399,plain,
! [X118,X119,X117] :
( ~ product(X117,X118,a)
| ~ product(d,X117,X119)
| product(X119,X118,k) ),
inference(resolution,[],[f7,f219]) ).
fof(f219,plain,
product(d,a,k),
inference(resolution,[],[f10,f37]) ).
fof(f37,axiom,
product(a,d,k),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',product_11) ).
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/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',associativity_multiplication_2) ).
fof(f3470376,plain,
product(s,b,a),
inference(resolution,[],[f3470368,f10]) ).
fof(f3470368,plain,
product(b,s,a),
inference(resolution,[],[f3470300,f3162]) ).
fof(f3162,plain,
product(b,multiplicative_inverse(b),multiplicative_identity),
inference(resolution,[],[f3160,f10]) ).
fof(f3160,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference(subsumption_resolution,[],[f3155,f33]) ).
fof(f33,axiom,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',not_sum_7) ).
fof(f3155,plain,
( sum(additive_identity,b,additive_identity)
| product(multiplicative_inverse(b),b,multiplicative_identity) ),
inference(resolution,[],[f9,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',b_is_defined) ).
fof(f9,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity) ),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',existence_of_inverse_multiplication) ).
fof(f3470300,plain,
! [X16] :
( ~ product(X16,multiplicative_inverse(b),multiplicative_identity)
| product(X16,s,a) ),
inference(resolution,[],[f4996,f220]) ).
fof(f220,plain,
product(multiplicative_inverse(b),a,s),
inference(resolution,[],[f10,f35]) ).
fof(f35,axiom,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',product_9) ).
fof(f4996,plain,
! [X62,X60,X61] :
( ~ product(X60,a,X61)
| ~ product(X62,X60,multiplicative_identity)
| product(X62,X61,a) ),
inference(resolution,[],[f6,f111]) ).
fof(f111,plain,
product(multiplicative_identity,a,a),
inference(resolution,[],[f8,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',a_is_defined) ).
fof(f8,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',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/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',associativity_multiplication_1) ).
fof(f3475213,plain,
product(d,s,c),
inference(resolution,[],[f3475203,f3163]) ).
fof(f3163,plain,
product(d,multiplicative_inverse(d),multiplicative_identity),
inference(resolution,[],[f3161,f10]) ).
fof(f3161,plain,
product(multiplicative_inverse(d),d,multiplicative_identity),
inference(subsumption_resolution,[],[f3157,f34]) ).
fof(f34,axiom,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',not_sum_8) ).
fof(f3157,plain,
( sum(additive_identity,d,additive_identity)
| product(multiplicative_inverse(d),d,multiplicative_identity) ),
inference(resolution,[],[f9,f30]) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',d_is_defined) ).
fof(f3475203,plain,
! [X16] :
( ~ product(X16,multiplicative_inverse(d),multiplicative_identity)
| product(X16,s,c) ),
inference(resolution,[],[f4998,f221]) ).
fof(f221,plain,
product(multiplicative_inverse(d),c,s),
inference(resolution,[],[f10,f36]) ).
fof(f36,axiom,
product(c,multiplicative_inverse(d),s),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',product_10) ).
fof(f4998,plain,
! [X68,X66,X67] :
( ~ product(X66,c,X67)
| ~ product(X68,X66,multiplicative_identity)
| product(X68,X67,c) ),
inference(resolution,[],[f6,f113]) ).
fof(f113,plain,
product(multiplicative_identity,c,c),
inference(resolution,[],[f8,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/tmp/tmp.CBKQ039yMp/Vampire---4.8_11635',c_is_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD049-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.32 % Computer : n001.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Aug 30 17:25:09 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.36 % (11795)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.36 % (11796)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.11/0.36 % (11800)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.11/0.36 % (11802)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.11/0.36 % (11797)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.11/0.36 % (11798)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 Vampire---4 for (476ds/0Mi)
% 0.11/0.36 % (11801)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [3]
% 0.11/0.36 % (11799)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.11/0.36 TRYING [3]
% 0.11/0.36 TRYING [3]
% 0.17/0.37 TRYING [1]
% 0.17/0.37 TRYING [2]
% 0.17/0.37 TRYING [3]
% 0.17/0.37 TRYING [4]
% 0.17/0.37 TRYING [4]
% 0.17/0.38 TRYING [4]
% 0.17/0.38 TRYING [4]
% 0.17/0.39 TRYING [5]
% 0.17/0.40 TRYING [5]
% 0.17/0.41 TRYING [5]
% 0.17/0.45 TRYING [5]
% 0.17/0.52 TRYING [6]
% 0.17/0.53 TRYING [6]
% 0.17/0.66 TRYING [6]
% 0.17/0.74 TRYING [6]
% 2.40/0.80 TRYING [7]
% 3.51/0.87 TRYING [7]
% 3.51/0.89 TRYING [7]
% 4.17/0.97 TRYING [7]
% 9.09/1.69 TRYING [8]
% 9.82/1.76 TRYING [8]
% 11.18/1.99 TRYING [8]
% 17.04/2.83 TRYING [8]
% 26.86/4.32 TRYING [9]
% 27.92/4.37 TRYING [9]
% 37.98/5.80 TRYING [9]
% 37.98/5.81 TRYING [9]
% 55.09/8.25 TRYING [10]
% 55.72/8.38 TRYING [10]
% 65.25/9.90 TRYING [10]
% 92.16/13.57 TRYING [11]
% 92.16/13.59 TRYING [11]
% 98.55/14.55 TRYING [11]
% 105.54/15.50 TRYING [10]
% 123.19/18.00 TRYING [12]
% 123.19/18.04 TRYING [12]
% 129.46/18.90 TRYING [12]
% 151.80/22.06 % (11801)Time limit reached!
% 151.80/22.06 % (11801)------------------------------
% 151.80/22.06 % (11801)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 151.80/22.06 % (11801)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 151.80/22.06 % (11801)Termination reason: Time limit
% 151.80/22.06 % (11801)Termination phase: Saturation
% 151.80/22.06
% 151.80/22.06 % (11801)Memory used [KB]: 213130
% 151.80/22.06 % (11801)Time elapsed: 21.700 s
% 151.80/22.06 % (11801)------------------------------
% 151.80/22.06 % (11801)------------------------------
% 151.80/22.08 % (12035)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on Vampire---4 for (569ds/0Mi)
% 151.80/22.08 TRYING [1]
% 151.80/22.08 TRYING [2]
% 151.80/22.08 TRYING [3]
% 151.80/22.09 TRYING [4]
% 151.80/22.11 TRYING [5]
% 152.48/22.18 TRYING [6]
% 153.63/22.40 TRYING [7]
% 158.25/23.07 TRYING [8]
% 173.88/25.29 TRYING [9]
% 216.24/31.37 % (11800)First to succeed.
% 216.24/31.44 % (11800)Refutation found. Thanks to Tanya!
% 216.24/31.44 % SZS status Unsatisfiable for Vampire---4
% 216.24/31.44 % SZS output start Proof for Vampire---4
% See solution above
% 216.24/31.44 % (11800)------------------------------
% 216.24/31.44 % (11800)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 216.24/31.44 % (11800)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 216.24/31.44 % (11800)Termination reason: Refutation
% 216.24/31.44
% 216.24/31.44 % (11800)Memory used [KB]: 1264968
% 216.24/31.44 % (11800)Time elapsed: 30.999 s
% 216.24/31.44 % (11800)------------------------------
% 216.24/31.44 % (11800)------------------------------
% 216.24/31.44 % (11795)Success in time 31.064 s
% 216.24/31.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------