TSTP Solution File: HEN006-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN006-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n003.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 16:24:35 EDT 2022
% Result : Unsatisfiable 2.39s 0.68s
% Output : Refutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 18 unt; 0 def)
% Number of atoms : 35 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f959,plain,
$false,
inference(subsumption_resolution,[],[f957,f9]) ).
fof(f9,axiom,
~ less_equal(divide(a,d),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divide_d_LE_b) ).
fof(f957,plain,
less_equal(divide(a,d),b),
inference(trivial_inequality_removal,[],[f938]) ).
fof(f938,plain,
( zero != zero
| less_equal(divide(a,d),b) ),
inference(superposition,[],[f2,f930]) ).
fof(f930,plain,
zero = divide(divide(a,d),b),
inference(subsumption_resolution,[],[f928,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f928,plain,
( zero = divide(divide(a,d),b)
| ~ less_equal(zero,divide(divide(a,d),b)) ),
inference(resolution,[],[f917,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f917,plain,
less_equal(divide(divide(a,d),b),zero),
inference(trivial_inequality_removal,[],[f898]) ).
fof(f898,plain,
( less_equal(divide(divide(a,d),b),zero)
| zero != zero ),
inference(superposition,[],[f2,f635]) ).
fof(f635,plain,
zero = divide(divide(divide(a,d),b),zero),
inference(subsumption_resolution,[],[f633,f5]) ).
fof(f633,plain,
( zero = divide(divide(divide(a,d),b),zero)
| ~ less_equal(zero,divide(divide(divide(a,d),b),zero)) ),
inference(resolution,[],[f542,f6]) ).
fof(f542,plain,
less_equal(divide(divide(divide(a,d),b),zero),zero),
inference(forward_demodulation,[],[f522,f13]) ).
fof(f13,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f522,plain,
less_equal(divide(divide(divide(a,d),b),zero),divide(zero,b)),
inference(superposition,[],[f52,f110]) ).
fof(f110,plain,
zero = divide(divide(a,d),divide(b,d)),
inference(resolution,[],[f23,f63]) ).
fof(f63,plain,
! [X6] :
( ~ less_equal(X6,zero)
| zero = X6 ),
inference(resolution,[],[f6,f5]) ).
fof(f23,plain,
less_equal(divide(divide(a,d),divide(b,d)),zero),
inference(superposition,[],[f4,f11]) ).
fof(f11,plain,
zero = divide(divide(a,b),d),
inference(resolution,[],[f1,f8]) ).
fof(f8,axiom,
less_equal(divide(a,b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_LE_d) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f52,plain,
! [X8,X9,X7] : less_equal(divide(divide(X9,X7),zero),divide(divide(X9,divide(X7,X8)),X7)),
inference(superposition,[],[f4,f12]) ).
fof(f12,plain,
! [X2,X1] : zero = divide(divide(X1,X2),X1),
inference(resolution,[],[f1,f3]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HEN006-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:57:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (32514)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.53 % (32523)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.56 % (32535)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 (3000ds/467Mi)
% 0.19/0.57 % (32527)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 (3000ds/75Mi)
% 0.19/0.57 % (32514)Instruction limit reached!
% 0.19/0.57 % (32514)------------------------------
% 0.19/0.57 % (32514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (32519)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.58 % (32514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (32514)Termination reason: Unknown
% 0.19/0.58 % (32514)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (32514)Memory used [KB]: 6268
% 0.19/0.58 % (32514)Time elapsed: 0.156 s
% 0.19/0.58 % (32514)Instructions burned: 51 (million)
% 0.19/0.58 % (32514)------------------------------
% 0.19/0.58 % (32514)------------------------------
% 0.19/0.58 % (32539)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 (3000ds/177Mi)
% 0.19/0.58 % (32518)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.58 TRYING [1]
% 0.19/0.58 TRYING [2]
% 0.19/0.58 TRYING [3]
% 0.19/0.59 TRYING [4]
% 0.19/0.59 % (32513)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 (3000ds/37Mi)
% 0.19/0.59 % (32512)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.59 % (32512)Refutation not found, incomplete strategy% (32512)------------------------------
% 0.19/0.59 % (32512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (32512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (32512)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.59
% 0.19/0.59 % (32512)Memory used [KB]: 5373
% 0.19/0.59 % (32512)Time elapsed: 0.167 s
% 0.19/0.59 % (32512)Instructions burned: 1 (million)
% 0.19/0.59 % (32512)------------------------------
% 0.19/0.59 % (32512)------------------------------
% 0.19/0.59 % (32517)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 (3000ds/48Mi)
% 0.19/0.60 % (32520)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.60 % (32540)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.60 % (32533)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.60 % (32516)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.60 % (32519)Instruction limit reached!
% 0.19/0.60 % (32519)------------------------------
% 0.19/0.60 % (32519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (32519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (32519)Termination reason: Unknown
% 0.19/0.60 % (32519)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (32519)Memory used [KB]: 5500
% 0.19/0.60 % (32519)Time elapsed: 0.148 s
% 0.19/0.60 % (32519)Instructions burned: 7 (million)
% 0.19/0.60 % (32519)------------------------------
% 0.19/0.60 % (32519)------------------------------
% 0.19/0.61 % (32534)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 (3000ds/498Mi)
% 0.19/0.61 % (32538)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 (3000ds/68Mi)
% 0.19/0.61 % (32541)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 1.98/0.61 % (32532)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 (3000ds/176Mi)
% 1.98/0.61 % (32537)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.98/0.62 % (32526)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 (3000ds/68Mi)
% 1.98/0.62 % (32525)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.98/0.62 % (32524)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.98/0.62 % (32530)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.98/0.62 % (32529)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.98/0.62 TRYING [1]
% 1.98/0.62 % (32520)Instruction limit reached!
% 1.98/0.62 % (32520)------------------------------
% 1.98/0.62 % (32520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.62 % (32520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.62 % (32520)Termination reason: Unknown
% 1.98/0.62 % (32520)Termination phase: Saturation
% 1.98/0.62
% 1.98/0.62 % (32520)Memory used [KB]: 5373
% 1.98/0.62 % (32520)Time elapsed: 0.199 s
% 1.98/0.62 % (32520)Instructions burned: 2 (million)
% 1.98/0.62 % (32520)------------------------------
% 1.98/0.62 % (32520)------------------------------
% 1.98/0.62 TRYING [2]
% 1.98/0.62 % (32511)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 (3000ds/191324Mi)
% 1.98/0.62 TRYING [3]
% 1.98/0.62 TRYING [1]
% 1.98/0.62 TRYING [2]
% 1.98/0.62 % (32531)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.98/0.62 TRYING [3]
% 1.98/0.62 % (32522)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.98/0.62 % (32521)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 (3000ds/51Mi)
% 1.98/0.62 TRYING [4]
% 2.20/0.64 TRYING [5]
% 2.20/0.64 % (32528)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 (3000ds/99Mi)
% 2.20/0.64 TRYING [4]
% 2.20/0.65 % (32536)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 2.20/0.65 % (32523)Instruction limit reached!
% 2.20/0.65 % (32523)------------------------------
% 2.20/0.65 % (32523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65 % (32523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65 % (32523)Termination reason: Unknown
% 2.20/0.65 % (32523)Termination phase: Saturation
% 2.20/0.65
% 2.20/0.65 % (32523)Memory used [KB]: 7036
% 2.20/0.65 % (32523)Time elapsed: 0.227 s
% 2.20/0.65 % (32523)Instructions burned: 100 (million)
% 2.20/0.65 % (32523)------------------------------
% 2.20/0.65 % (32523)------------------------------
% 2.39/0.67 % (32518)Instruction limit reached!
% 2.39/0.67 % (32518)------------------------------
% 2.39/0.67 % (32518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.67 % (32518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.67 % (32518)Termination reason: Unknown
% 2.39/0.67 % (32518)Termination phase: Finite model building constraint generation
% 2.39/0.67
% 2.39/0.67 % (32518)Memory used [KB]: 7931
% 2.39/0.67 % (32518)Time elapsed: 0.230 s
% 2.39/0.67 % (32518)Instructions burned: 52 (million)
% 2.39/0.67 % (32518)------------------------------
% 2.39/0.67 % (32518)------------------------------
% 2.39/0.68 TRYING [5]
% 2.39/0.68 TRYING [5]
% 2.39/0.68 % (32531)First to succeed.
% 2.39/0.68 % (32531)Refutation found. Thanks to Tanya!
% 2.39/0.68 % SZS status Unsatisfiable for theBenchmark
% 2.39/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.39/0.68 % (32531)------------------------------
% 2.39/0.68 % (32531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68 % (32531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68 % (32531)Termination reason: Refutation
% 2.39/0.68
% 2.39/0.68 % (32531)Memory used [KB]: 1407
% 2.39/0.68 % (32531)Time elapsed: 0.249 s
% 2.39/0.68 % (32531)Instructions burned: 29 (million)
% 2.39/0.68 % (32531)------------------------------
% 2.39/0.68 % (32531)------------------------------
% 2.39/0.68 % (32510)Success in time 0.333 s
%------------------------------------------------------------------------------