TSTP Solution File: HEN004-5 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : HEN004-5 : 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 : n027.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 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f254,plain,
$false,
inference(trivial_inequality_removal,[],[f253]) ).
fof(f253,plain,
a != a,
inference(superposition,[],[f7,f232]) ).
fof(f232,plain,
! [X0] : divide(X0,zero) = X0,
inference(trivial_inequality_removal,[],[f218]) ).
fof(f218,plain,
! [X0] :
( zero != zero
| divide(X0,zero) = X0 ),
inference(superposition,[],[f18,f207]) ).
fof(f207,plain,
! [X4] : zero = divide(X4,divide(X4,zero)),
inference(trivial_inequality_removal,[],[f198]) ).
fof(f198,plain,
! [X4] :
( zero != zero
| zero = divide(X4,divide(X4,zero)) ),
inference(superposition,[],[f17,f179]) ).
fof(f179,plain,
! [X5] : zero = divide(divide(X5,divide(X5,zero)),zero),
inference(trivial_inequality_removal,[],[f169]) ).
fof(f169,plain,
! [X5] :
( zero = divide(divide(X5,divide(X5,zero)),zero)
| zero != zero ),
inference(superposition,[],[f17,f133]) ).
fof(f133,plain,
! [X5] : zero = divide(divide(divide(X5,divide(X5,zero)),zero),zero),
inference(superposition,[],[f36,f6]) ).
fof(f6,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f36,plain,
! [X0,X1] : zero = divide(divide(divide(X1,X0),zero),divide(divide(X1,zero),X0)),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f2,axiom,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f17,plain,
! [X0] :
( zero != divide(X0,zero)
| zero = X0 ),
inference(trivial_inequality_removal,[],[f12]) ).
fof(f12,plain,
! [X0] :
( zero != divide(X0,zero)
| zero != zero
| zero = X0 ),
inference(superposition,[],[f4,f3]) ).
fof(f4,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| X0 = X1
| zero != divide(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divide_and_equal) ).
fof(f18,plain,
! [X3,X4] :
( zero != divide(X3,divide(X3,X4))
| divide(X3,X4) = X3 ),
inference(trivial_inequality_removal,[],[f15]) ).
fof(f15,plain,
! [X3,X4] :
( zero != divide(X3,divide(X3,X4))
| zero != zero
| divide(X3,X4) = X3 ),
inference(superposition,[],[f4,f1]) ).
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f7,axiom,
a != divide(a,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HEN004-5 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 23:12:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.51 % (21187)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)
% 0.20/0.51 % (21195)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)
% 0.20/0.51 % (21194)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)
% 0.20/0.51 % (21194)Refutation not found, incomplete strategy% (21194)------------------------------
% 0.20/0.51 % (21194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (21194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (21194)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (21194)Memory used [KB]: 5756
% 0.20/0.51 % (21194)Time elapsed: 0.104 s
% 0.20/0.51 % (21194)Instructions burned: 1 (million)
% 0.20/0.51 % (21194)------------------------------
% 0.20/0.51 % (21194)------------------------------
% 0.20/0.52 % (21198)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (21189)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)
% 0.20/0.52 % (21204)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)
% 0.20/0.52 % (21204)Refutation not found, incomplete strategy% (21204)------------------------------
% 0.20/0.52 % (21204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (21204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (21204)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (21204)Memory used [KB]: 5756
% 0.20/0.52 % (21204)Time elapsed: 0.109 s
% 0.20/0.52 % (21204)Instructions burned: 1 (million)
% 0.20/0.52 % (21204)------------------------------
% 0.20/0.52 % (21204)------------------------------
% 0.20/0.52 % (21205)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)
% 0.20/0.52 % (21187)Refutation not found, incomplete strategy% (21187)------------------------------
% 0.20/0.52 % (21187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (21187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (21187)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (21187)Memory used [KB]: 5756
% 0.20/0.52 % (21187)Time elapsed: 0.114 s
% 0.20/0.52 % (21187)Instructions burned: 2 (million)
% 0.20/0.52 % (21187)------------------------------
% 0.20/0.52 % (21187)------------------------------
% 0.20/0.52 % (21198)Instruction limit reached!
% 0.20/0.52 % (21198)------------------------------
% 0.20/0.52 % (21198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (21198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (21198)Termination reason: Unknown
% 0.20/0.52 % (21198)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (21198)Memory used [KB]: 5884
% 0.20/0.52 % (21198)Time elapsed: 0.110 s
% 0.20/0.52 % (21198)Instructions burned: 4 (million)
% 0.20/0.52 % (21198)------------------------------
% 0.20/0.52 % (21198)------------------------------
% 0.20/0.52 % (21192)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 % (21192)Refutation not found, incomplete strategy% (21192)------------------------------
% 0.20/0.52 % (21192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (21192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (21192)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (21192)Memory used [KB]: 5756
% 0.20/0.52 % (21192)Time elapsed: 0.114 s
% 0.20/0.52 % (21192)------------------------------
% 0.20/0.52 % (21192)------------------------------
% 0.20/0.52 % (21209)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 % (21191)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 % (21212)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)
% 0.20/0.53 % (21203)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.53 % (21193)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 % (21190)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 % (21203)Refutation not found, incomplete strategy% (21203)------------------------------
% 0.20/0.53 % (21203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (21203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (21203)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (21203)Memory used [KB]: 10234
% 0.20/0.53 % (21203)Time elapsed: 0.132 s
% 0.20/0.53 % (21203)Instructions burned: 2 (million)
% 0.20/0.53 % (21203)------------------------------
% 0.20/0.53 % (21203)------------------------------
% 0.20/0.53 % (21193)Instruction limit reached!
% 0.20/0.53 % (21193)------------------------------
% 0.20/0.53 % (21193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (21193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (21193)Termination reason: Unknown
% 0.20/0.53 % (21193)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (21193)Memory used [KB]: 5756
% 0.20/0.53 % (21193)Time elapsed: 0.122 s
% 0.20/0.53 % (21193)Instructions burned: 3 (million)
% 0.20/0.53 % (21193)------------------------------
% 0.20/0.53 % (21193)------------------------------
% 0.20/0.53 % (21199)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 % (21188)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 % (21196)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.53 % (21190)First to succeed.
% 0.20/0.53 % (21205)Instruction limit reached!
% 0.20/0.53 % (21205)------------------------------
% 0.20/0.53 % (21205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (21205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (21205)Termination reason: Unknown
% 0.20/0.53 % (21205)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (21205)Memory used [KB]: 1407
% 0.20/0.53 % (21205)Time elapsed: 0.131 s
% 0.20/0.53 % (21205)Instructions burned: 6 (million)
% 0.20/0.53 % (21205)------------------------------
% 0.20/0.53 % (21205)------------------------------
% 0.20/0.53 % (21206)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.53 % (21207)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)
% 0.20/0.53 % (21195)Instruction limit reached!
% 0.20/0.53 % (21195)------------------------------
% 0.20/0.53 % (21195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (21186)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)
% 0.20/0.54 % (21186)Refutation not found, incomplete strategy% (21186)------------------------------
% 0.20/0.54 % (21186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (21186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (21186)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (21186)Memory used [KB]: 1279
% 0.20/0.54 % (21186)Time elapsed: 0.136 s
% 0.20/0.54 % (21186)Instructions burned: 1 (million)
% 0.20/0.54 % (21186)------------------------------
% 0.20/0.54 % (21186)------------------------------
% 0.20/0.54 % (21211)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)
% 0.20/0.54 % (21213)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)
% 0.20/0.54 % (21210)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.54 % (21197)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.54 % (21214)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)
% 0.20/0.54 % (21201)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)
% 0.20/0.54 % (21214)Refutation not found, incomplete strategy% (21214)------------------------------
% 0.20/0.54 % (21214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (21214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (21214)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (21214)Memory used [KB]: 5756
% 0.20/0.54 % (21214)Time elapsed: 0.136 s
% 0.20/0.54 % (21214)Instructions burned: 1 (million)
% 0.20/0.54 % (21214)------------------------------
% 0.20/0.54 % (21214)------------------------------
% 0.20/0.54 % (21211)Refutation not found, incomplete strategy% (21211)------------------------------
% 0.20/0.54 % (21211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (21211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (21211)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (21211)Memory used [KB]: 5756
% 0.20/0.54 % (21211)Time elapsed: 0.137 s
% 0.20/0.54 % (21211)Instructions burned: 1 (million)
% 0.20/0.54 % (21211)------------------------------
% 0.20/0.54 % (21211)------------------------------
% 0.20/0.54 % (21202)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (21197)Instruction limit reached!
% 0.20/0.54 % (21197)------------------------------
% 0.20/0.54 % (21197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (21190)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (21190)------------------------------
% 0.20/0.55 % (21190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (21190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (21190)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (21190)Memory used [KB]: 6012
% 0.20/0.55 % (21190)Time elapsed: 0.128 s
% 0.20/0.55 % (21190)Instructions burned: 9 (million)
% 0.20/0.55 % (21190)------------------------------
% 0.20/0.55 % (21190)------------------------------
% 0.20/0.55 % (21184)Success in time 0.189 s
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