TSTP Solution File: FLD018-3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD018-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n015.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 : Wed Aug 31 16:06:39 EDT 2022
% Result : Unsatisfiable 1.67s 0.58s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113,plain,
$false,
inference(subsumption_resolution,[],[f111,f29]) ).
fof(f29,axiom,
~ sum(additive_identity,additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f111,plain,
sum(additive_identity,additive_inverse(a),additive_identity),
inference(resolution,[],[f83,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f83,plain,
sum(additive_inverse(a),additive_identity,additive_identity),
inference(subsumption_resolution,[],[f81,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f81,plain,
( sum(additive_inverse(a),additive_identity,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f62,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f62,plain,
! [X1] :
( ~ sum(X1,a,additive_identity)
| sum(X1,additive_identity,additive_identity) ),
inference(resolution,[],[f49,f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ sum(X0,a,X1)
| ~ sum(X2,X0,additive_identity)
| sum(X2,X1,additive_identity) ),
inference(resolution,[],[f1,f28]) ).
fof(f28,axiom,
sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_2) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f49,plain,
sum(a,a,additive_identity),
inference(resolution,[],[f41,f30]) ).
fof(f30,plain,
sum(a,additive_identity,additive_identity),
inference(resolution,[],[f5,f28]) ).
fof(f41,plain,
! [X1] :
( ~ sum(X1,additive_identity,additive_identity)
| sum(X1,a,additive_identity) ),
inference(subsumption_resolution,[],[f39,f27]) ).
fof(f39,plain,
! [X1] :
( ~ defined(a)
| ~ sum(X1,additive_identity,additive_identity)
| sum(X1,a,additive_identity) ),
inference(resolution,[],[f34,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD018-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n015.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 : Mon Aug 29 20:48:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (14141)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (14140)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (14141)Instruction limit reached!
% 0.21/0.55 % (14141)------------------------------
% 0.21/0.55 % (14141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (14141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (14141)Termination reason: Unknown
% 0.21/0.55 % (14141)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (14141)Memory used [KB]: 5373
% 0.21/0.55 % (14141)Time elapsed: 0.003 s
% 0.21/0.55 % (14141)Instructions burned: 3 (million)
% 0.21/0.55 % (14141)------------------------------
% 0.21/0.55 % (14141)------------------------------
% 1.50/0.56 % (14139)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.56 TRYING [1]
% 1.50/0.56 TRYING [2]
% 1.50/0.56 TRYING [3]
% 1.50/0.56 % (14140)Instruction limit reached!
% 1.50/0.56 % (14140)------------------------------
% 1.50/0.56 % (14140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (14140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (14140)Termination reason: Unknown
% 1.50/0.56 % (14140)Termination phase: Saturation
% 1.50/0.56
% 1.50/0.56 % (14140)Memory used [KB]: 5500
% 1.50/0.56 % (14140)Time elapsed: 0.129 s
% 1.50/0.56 % (14140)Instructions burned: 7 (million)
% 1.50/0.56 % (14140)------------------------------
% 1.50/0.56 % (14140)------------------------------
% 1.50/0.56 % (14157)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.50/0.56 % (14149)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.56 % (14148)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.50/0.57 % (14147)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.50/0.57 % (14156)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.50/0.57 % (14155)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.50/0.57 % (14151)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.67/0.58 % (14156)First to succeed.
% 1.67/0.58 % (14136)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.67/0.58 % (14156)Refutation found. Thanks to Tanya!
% 1.67/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.67/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.58 % (14156)------------------------------
% 1.67/0.58 % (14156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58 % (14156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.58 % (14156)Termination reason: Refutation
% 1.67/0.58
% 1.67/0.58 % (14156)Memory used [KB]: 5500
% 1.67/0.58 % (14156)Time elapsed: 0.150 s
% 1.67/0.58 % (14156)Instructions burned: 5 (million)
% 1.67/0.58 % (14156)------------------------------
% 1.67/0.58 % (14156)------------------------------
% 1.67/0.58 % (14132)Success in time 0.211 s
%------------------------------------------------------------------------------