TSTP Solution File: FLD055-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD055-3 : 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 : n011.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 16:06:55 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,plain,
$false,
inference(subsumption_resolution,[],[f93,f32]) ).
fof(f32,axiom,
~ less_or_equal(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_6) ).
fof(f93,plain,
less_or_equal(a,c),
inference(resolution,[],[f84,f75]) ).
fof(f75,plain,
sum(a,additive_identity,a),
inference(resolution,[],[f74,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f74,plain,
sum(additive_identity,a,a),
inference(subsumption_resolution,[],[f72,f63]) ).
fof(f63,plain,
less_or_equal(a,a),
inference(duplicate_literal_removal,[],[f60]) ).
fof(f60,plain,
( less_or_equal(a,a)
| less_or_equal(a,a) ),
inference(resolution,[],[f52,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f52,plain,
! [X10] :
( ~ defined(X10)
| less_or_equal(a,X10)
| less_or_equal(X10,a) ),
inference(resolution,[],[f23,f27]) ).
fof(f23,axiom,
! [X3,X0] :
( ~ defined(X0)
| less_or_equal(X0,X3)
| less_or_equal(X3,X0)
| ~ defined(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f72,plain,
( ~ less_or_equal(a,a)
| sum(additive_identity,a,a) ),
inference(resolution,[],[f63,f21]) ).
fof(f21,axiom,
! [X3,X0] :
( ~ less_or_equal(X3,X0)
| sum(additive_identity,X0,X3)
| ~ less_or_equal(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
fof(f84,plain,
! [X0] :
( ~ sum(a,additive_identity,X0)
| less_or_equal(X0,c) ),
inference(resolution,[],[f79,f33]) ).
fof(f33,plain,
sum(b,additive_identity,c),
inference(resolution,[],[f5,f31]) ).
fof(f31,axiom,
sum(additive_identity,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ sum(b,X2,X1)
| less_or_equal(X0,X1)
| ~ sum(a,X2,X0) ),
inference(resolution,[],[f24,f30]) ).
fof(f30,axiom,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f24,axiom,
! [X3,X0,X1,X4,X5] :
( ~ less_or_equal(X0,X3)
| less_or_equal(X4,X1)
| ~ sum(X0,X5,X4)
| ~ sum(X3,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD055-3 : 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
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 20:39:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (9511)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (9521)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)
% 0.20/0.52 % (9513)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)
% 0.20/0.52 % (9502)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)
% 0.20/0.53 % (9505)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)
% 0.20/0.53 % (9507)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (9510)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (9507)Instruction limit reached!
% 0.20/0.53 % (9507)------------------------------
% 0.20/0.53 % (9507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9503)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (9506)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (9500)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (9499)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54 % (9501)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54 % (9504)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (9507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (9507)Termination reason: Unknown
% 0.20/0.54 % (9507)Termination phase: Blocked clause elimination
% 0.20/0.54
% 0.20/0.54 % (9507)Memory used [KB]: 895
% 0.20/0.54 % (9507)Time elapsed: 0.003 s
% 0.20/0.54 % (9507)Instructions burned: 2 (million)
% 0.20/0.54 % (9507)------------------------------
% 0.20/0.54 % (9507)------------------------------
% 0.20/0.54 % (9508)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (9509)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (9514)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)
% 0.20/0.54 % (9523)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (9519)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55 % (9520)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 % (9515)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)
% 0.20/0.55 % (9524)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (9522)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)
% 0.20/0.55 % (9506)Instruction limit reached!
% 0.20/0.55 % (9506)------------------------------
% 0.20/0.55 % (9506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (9506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (9506)Termination reason: Unknown
% 0.20/0.55 % (9506)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (9506)Memory used [KB]: 5500
% 0.20/0.55 % (9506)Time elapsed: 0.128 s
% 0.20/0.55 % (9506)Instructions burned: 8 (million)
% 0.20/0.55 % (9506)------------------------------
% 0.20/0.55 % (9506)------------------------------
% 0.20/0.55 % (9526)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (9525)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)
% 0.20/0.55 % (9512)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (9526)First to succeed.
% 0.20/0.56 % (9526)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (9526)------------------------------
% 0.20/0.56 % (9526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (9526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (9526)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (9526)Memory used [KB]: 895
% 0.20/0.56 % (9526)Time elapsed: 0.151 s
% 0.20/0.56 % (9526)Instructions burned: 4 (million)
% 0.20/0.56 % (9526)------------------------------
% 0.20/0.56 % (9526)------------------------------
% 0.20/0.56 % (9498)Success in time 0.194 s
%------------------------------------------------------------------------------