TSTP Solution File: HEN005-6 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : HEN005-6 : 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_uns --cores 0 -t %d %s
% Computer : n025.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 16:24:22 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 16 unt; 0 def)
% Number of atoms : 40 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 12 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f197,plain,
$false,
inference(avatar_sat_refutation,[],[f167,f194]) ).
fof(f194,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f193,plain,
( $false
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f183]) ).
fof(f183,plain,
( zero != zero
| ~ spl0_5 ),
inference(superposition,[],[f28,f179]) ).
fof(f179,plain,
( zero = divide(a,c)
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f170]) ).
fof(f170,plain,
( zero = divide(a,c)
| zero != zero
| ~ spl0_5 ),
inference(superposition,[],[f58,f156]) ).
fof(f156,plain,
( zero = divide(divide(a,c),zero)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl0_5
<=> zero = divide(divide(a,c),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f58,plain,
! [X0] :
( zero != divide(X0,zero)
| zero = X0 ),
inference(resolution,[],[f33,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f33,plain,
! [X5] :
( ~ less_equal(X5,zero)
| zero = X5 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
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(f28,plain,
zero != divide(a,c),
inference(resolution,[],[f2,f12]) ).
fof(f12,axiom,
~ less_equal(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_LE_c) ).
fof(f167,plain,
spl0_5,
inference(avatar_split_clause,[],[f149,f154]) ).
fof(f149,plain,
zero = divide(divide(a,c),zero),
inference(resolution,[],[f146,f33]) ).
fof(f146,plain,
less_equal(divide(divide(a,c),zero),zero),
inference(superposition,[],[f117,f19]) ).
fof(f19,plain,
zero = divide(b,c),
inference(resolution,[],[f1,f11]) ).
fof(f11,axiom,
less_equal(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_LE_c) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f117,plain,
! [X7] : less_equal(divide(divide(a,X7),divide(b,X7)),zero),
inference(forward_demodulation,[],[f102,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f102,plain,
! [X7] : less_equal(divide(divide(a,X7),divide(b,X7)),divide(zero,X7)),
inference(superposition,[],[f4,f18]) ).
fof(f18,plain,
zero = divide(a,b),
inference(resolution,[],[f1,f10]) ).
fof(f10,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN005-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.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 23:06:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (643)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.48 % (670)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.48 TRYING [1]
% 0.20/0.49 TRYING [2]
% 0.20/0.49 TRYING [3]
% 0.20/0.49 % (643)Instruction limit reached!
% 0.20/0.49 % (643)------------------------------
% 0.20/0.49 % (643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (643)Termination reason: Unknown
% 0.20/0.49 % (643)Termination phase: Finite model building SAT solving
% 0.20/0.49
% 0.20/0.49 % (643)Memory used [KB]: 6012
% 0.20/0.49 % (643)Time elapsed: 0.082 s
% 0.20/0.49 % (643)Instructions burned: 6 (million)
% 0.20/0.49 % (643)------------------------------
% 0.20/0.49 % (643)------------------------------
% 0.20/0.50 % (634)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (642)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.52 % (670)Instruction limit reached!
% 0.20/0.52 % (670)------------------------------
% 0.20/0.52 % (670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (670)Termination reason: Unknown
% 0.20/0.52 % (670)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (670)Memory used [KB]: 6268
% 0.20/0.52 % (670)Time elapsed: 0.103 s
% 0.20/0.52 % (670)Instructions burned: 37 (million)
% 0.20/0.52 % (670)------------------------------
% 0.20/0.52 % (670)------------------------------
% 0.20/0.52 % (673)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.52 % (669)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.52 % (636)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (674)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.52 % (626)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.52 % (634)Refutation not found, incomplete strategy% (634)------------------------------
% 0.20/0.52 % (634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (634)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (634)Memory used [KB]: 5756
% 0.20/0.52 % (634)Time elapsed: 0.094 s
% 0.20/0.52 % (634)Instructions burned: 1 (million)
% 0.20/0.52 % (634)------------------------------
% 0.20/0.52 % (634)------------------------------
% 0.20/0.52 % (674)Refutation not found, incomplete strategy% (674)------------------------------
% 0.20/0.52 % (674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (674)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (674)Memory used [KB]: 1279
% 0.20/0.52 % (674)Time elapsed: 0.119 s
% 0.20/0.52 % (674)------------------------------
% 0.20/0.52 % (674)------------------------------
% 0.20/0.52 % (636)Instruction limit reached!
% 0.20/0.52 % (636)------------------------------
% 0.20/0.52 % (636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (636)Termination reason: Unknown
% 0.20/0.52 % (636)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (636)Memory used [KB]: 5884
% 0.20/0.52 % (636)Time elapsed: 0.118 s
% 0.20/0.52 % (636)Instructions burned: 4 (million)
% 0.20/0.52 % (636)------------------------------
% 0.20/0.52 % (636)------------------------------
% 0.20/0.52 % (626)Instruction limit reached!
% 0.20/0.52 % (626)------------------------------
% 0.20/0.52 % (626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (626)Termination reason: Unknown
% 0.20/0.52 % (626)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (626)Memory used [KB]: 5884
% 0.20/0.52 % (626)Time elapsed: 0.119 s
% 0.20/0.52 % (626)Instructions burned: 5 (million)
% 0.20/0.52 % (626)------------------------------
% 0.20/0.52 % (626)------------------------------
% 0.20/0.53 % (627)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53 % (633)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (677)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (677)Refutation not found, incomplete strategy% (677)------------------------------
% 0.20/0.53 % (677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (677)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (677)Memory used [KB]: 5756
% 0.20/0.53 % (677)Time elapsed: 0.128 s
% 0.20/0.53 % (677)------------------------------
% 0.20/0.53 % (677)------------------------------
% 0.20/0.53 % (624)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53 % (676)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.53 % (625)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.53 % (676)Refutation not found, incomplete strategy% (676)------------------------------
% 0.20/0.53 % (676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (676)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (676)Memory used [KB]: 5756
% 0.20/0.53 % (676)Time elapsed: 0.128 s
% 0.20/0.53 % (676)------------------------------
% 0.20/0.53 % (676)------------------------------
% 0.20/0.53 % (630)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (629)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53 % (638)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53 % (637)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (637)Refutation not found, incomplete strategy% (637)------------------------------
% 0.20/0.53 % (637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (637)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (637)Memory used [KB]: 5756
% 0.20/0.53 % (637)Time elapsed: 0.126 s
% 0.20/0.53 % (637)Instructions burned: 1 (million)
% 0.20/0.53 % (637)------------------------------
% 0.20/0.53 % (637)------------------------------
% 0.20/0.53 % (630)First to succeed.
% 0.20/0.53 % (630)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (630)------------------------------
% 0.20/0.53 % (630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (630)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (630)Memory used [KB]: 5884
% 0.20/0.53 % (630)Time elapsed: 0.129 s
% 0.20/0.53 % (630)Instructions burned: 6 (million)
% 0.20/0.53 % (630)------------------------------
% 0.20/0.53 % (630)------------------------------
% 0.20/0.53 % (623)Success in time 0.179 s
%------------------------------------------------------------------------------