TSTP Solution File: HEN004-4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : HEN004-4 : 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 16:24:21 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 30 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f391,plain,
$false,
inference(trivial_inequality_removal,[],[f390]) ).
fof(f390,plain,
a != a,
inference(superposition,[],[f11,f263]) ).
fof(f263,plain,
! [X1] : divide(X1,zero) = X1,
inference(trivial_inequality_removal,[],[f243]) ).
fof(f243,plain,
! [X1] :
( zero != zero
| divide(X1,zero) = X1 ),
inference(superposition,[],[f40,f228]) ).
fof(f228,plain,
! [X5] : zero = divide(X5,divide(X5,zero)),
inference(trivial_inequality_removal,[],[f216]) ).
fof(f216,plain,
! [X5] :
( zero != zero
| zero = divide(X5,divide(X5,zero)) ),
inference(superposition,[],[f29,f168]) ).
fof(f168,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(resolution,[],[f157,f24]) ).
fof(f24,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
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(X0,X1)
| X0 = X1
| ~ less_equal(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f157,plain,
! [X3] : less_equal(divide(divide(X3,divide(X3,zero)),zero),zero),
inference(superposition,[],[f64,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f64,plain,
! [X4,X5] : less_equal(divide(divide(X5,X4),zero),divide(divide(X5,zero),X4)),
inference(superposition,[],[f4,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
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(f29,plain,
! [X0] :
( zero != divide(X0,zero)
| zero = X0 ),
inference(resolution,[],[f24,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(f40,plain,
! [X2,X1] :
( zero != divide(X1,divide(X1,X2))
| divide(X1,X2) = X1 ),
inference(resolution,[],[f27,f2]) ).
fof(f27,plain,
! [X4,X5] :
( ~ less_equal(X4,divide(X4,X5))
| divide(X4,X5) = X4 ),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f11,axiom,
a != divide(a,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN004-4 : 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 23:04:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (25039)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)
% 0.20/0.50 % (25031)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)
% 0.20/0.50 % (25019)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)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.50 % (25023)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)
% 0.20/0.50 TRYING [3]
% 0.20/0.50 % (25031)Instruction limit reached!
% 0.20/0.50 % (25031)------------------------------
% 0.20/0.50 % (25031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (25023)Refutation not found, incomplete strategy% (25023)------------------------------
% 0.20/0.50 % (25023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (25031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (25031)Termination reason: Unknown
% 0.20/0.50 % (25031)Termination phase: Finite model building SAT solving
% 0.20/0.50
% 0.20/0.50 % (25031)Memory used [KB]: 6012
% 0.20/0.50 % (25031)Time elapsed: 0.102 s
% 0.20/0.50 % (25031)Instructions burned: 6 (million)
% 0.20/0.50 % (25031)------------------------------
% 0.20/0.50 % (25031)------------------------------
% 0.20/0.51 % (25023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (25020)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)
% 0.20/0.51 % (25023)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (25023)Memory used [KB]: 5756
% 0.20/0.51 % (25023)Time elapsed: 0.111 s
% 0.20/0.51 % (25023)Instructions burned: 1 (million)
% 0.20/0.51 % (25023)------------------------------
% 0.20/0.51 % (25023)------------------------------
% 0.20/0.51 % (25021)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51 % (25016)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52 % (25017)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)
% 0.20/0.52 % (25017)Refutation not found, incomplete strategy% (25017)------------------------------
% 0.20/0.52 % (25017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (25017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25017)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (25017)Memory used [KB]: 1279
% 0.20/0.52 % (25017)Time elapsed: 0.118 s
% 0.20/0.52 % (25017)------------------------------
% 0.20/0.52 % (25017)------------------------------
% 0.20/0.52 % (25033)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52 % (25045)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)
% 0.20/0.52 % (25045)Refutation not found, incomplete strategy% (25045)------------------------------
% 0.20/0.52 % (25045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (25045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25045)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (25045)Memory used [KB]: 5756
% 0.20/0.52 % (25045)Time elapsed: 0.121 s
% 0.20/0.52 % (25045)Instructions burned: 2 (million)
% 0.20/0.52 % (25045)------------------------------
% 0.20/0.52 % (25045)------------------------------
% 0.20/0.52 % (25038)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 % (25043)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 % (25040)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.52 % (25043)Refutation not found, incomplete strategy% (25043)------------------------------
% 0.20/0.52 % (25043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (25043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25043)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (25043)Memory used [KB]: 1279
% 0.20/0.52 % (25043)Time elapsed: 0.120 s
% 0.20/0.52 % (25043)Instructions burned: 1 (million)
% 0.20/0.52 % (25043)------------------------------
% 0.20/0.52 % (25043)------------------------------
% 0.20/0.52 % (25025)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)
% 0.20/0.52 % (25046)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)
% 0.20/0.52 % (25018)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 % (25042)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 % (25046)Refutation not found, incomplete strategy% (25046)------------------------------
% 0.20/0.52 % (25046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (25046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25046)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (25046)Memory used [KB]: 5756
% 0.20/0.52 % (25046)Time elapsed: 0.130 s
% 0.20/0.52 % (25046)Instructions burned: 2 (million)
% 0.20/0.52 % (25046)------------------------------
% 0.20/0.52 % (25046)------------------------------
% 0.20/0.52 % (25042)Refutation not found, incomplete strategy% (25042)------------------------------
% 0.20/0.52 % (25042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (25042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25042)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (25042)Memory used [KB]: 5756
% 0.20/0.52 % (25042)Time elapsed: 0.130 s
% 0.20/0.52 % (25042)Instructions burned: 1 (million)
% 0.20/0.52 % (25042)------------------------------
% 0.20/0.52 % (25042)------------------------------
% 0.20/0.53 % (25018)Instruction limit reached!
% 0.20/0.53 % (25018)------------------------------
% 0.20/0.53 % (25018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25018)Termination reason: Unknown
% 0.20/0.53 % (25018)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (25018)Memory used [KB]: 5884
% 0.20/0.53 % (25018)Time elapsed: 0.128 s
% 0.20/0.53 % (25018)Instructions burned: 4 (million)
% 0.20/0.53 % (25018)------------------------------
% 0.20/0.53 % (25018)------------------------------
% 0.20/0.53 % (25039)Instruction limit reached!
% 0.20/0.53 % (25039)------------------------------
% 0.20/0.53 % (25039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25033)Instruction limit reached!
% 0.20/0.53 % (25033)------------------------------
% 0.20/0.53 % (25033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25030)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)
% 0.20/0.53 % (25036)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53 % (25032)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (25025)Refutation not found, incomplete strategy% (25025)------------------------------
% 0.20/0.53 % (25025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25032)Instruction limit reached!
% 0.20/0.53 % (25032)------------------------------
% 0.20/0.53 % (25032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25032)Termination reason: Unknown
% 0.20/0.53 % (25032)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (25032)Memory used [KB]: 1279
% 0.20/0.53 % (25032)Time elapsed: 0.002 s
% 0.20/0.53 % (25032)Instructions burned: 2 (million)
% 0.20/0.53 % (25032)------------------------------
% 0.20/0.53 % (25032)------------------------------
% 0.20/0.53 % (25039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25039)Termination reason: Unknown
% 0.20/0.53 % (25039)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (25039)Memory used [KB]: 6140
% 0.20/0.53 % (25039)Time elapsed: 0.120 s
% 0.20/0.53 % (25039)Instructions burned: 38 (million)
% 0.20/0.53 % (25039)------------------------------
% 0.20/0.53 % (25039)------------------------------
% 0.20/0.53 % (25035)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (25035)Refutation not found, incomplete strategy% (25035)------------------------------
% 0.20/0.53 % (25035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25035)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (25035)Memory used [KB]: 5756
% 0.20/0.53 % (25035)Time elapsed: 0.130 s
% 0.20/0.53 % (25035)Instructions burned: 2 (million)
% 0.20/0.53 % (25035)------------------------------
% 0.20/0.53 % (25035)------------------------------
% 0.20/0.53 % (25021)First to succeed.
% 0.20/0.53 % (25024)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)
% 0.20/0.53 % (25021)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 % (25021)------------------------------
% 0.20/0.53 % (25021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25021)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (25021)Memory used [KB]: 6012
% 0.20/0.53 % (25021)Time elapsed: 0.114 s
% 0.20/0.53 % (25021)Instructions burned: 12 (million)
% 0.20/0.53 % (25021)------------------------------
% 0.20/0.53 % (25021)------------------------------
% 0.20/0.53 % (25015)Success in time 0.178 s
%------------------------------------------------------------------------------