TSTP Solution File: HEN007-4 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : HEN007-4 : 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 : n021.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 16:24:25 EDT 2022
% Result : Unsatisfiable 1.55s 0.56s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 21 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 15 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f241,plain,
$false,
inference(resolution,[],[f240,f14]) ).
fof(f14,axiom,
less_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_LE_b) ).
fof(f240,plain,
~ less_equal(a,b),
inference(trivial_inequality_removal,[],[f239]) ).
fof(f239,plain,
( ~ less_equal(a,b)
| zero != zero ),
inference(superposition,[],[f178,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f178,plain,
! [X3] :
( zero != divide(divide(c,X3),divide(c,a))
| ~ less_equal(X3,b) ),
inference(resolution,[],[f98,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f98,plain,
! [X0] :
( ~ less_equal(divide(c,X0),divide(c,a))
| ~ less_equal(X0,b) ),
inference(resolution,[],[f80,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( less_equal(divide(X0,X2),X1)
| ~ less_equal(divide(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f80,plain,
! [X0] :
( ~ less_equal(divide(c,divide(c,a)),X0)
| ~ less_equal(X0,b) ),
inference(resolution,[],[f69,f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( less_equal(X0,X2)
| ~ less_equal(X1,X2)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f69,plain,
~ less_equal(divide(c,divide(c,a)),b),
inference(resolution,[],[f13,f15]) ).
fof(f15,axiom,
~ less_equal(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % 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 : n021.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 22:57:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 % (6954)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)
% 0.19/0.53 % (6936)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)
% 0.19/0.53 % (6937)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)
% 0.19/0.53 % (6952)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)
% 1.42/0.53 % (6937)Instruction limit reached!
% 1.42/0.53 % (6937)------------------------------
% 1.42/0.53 % (6937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (6945)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)
% 1.42/0.54 % (6944)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)
% 1.42/0.54 % (6931)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)
% 1.42/0.54 % (6932)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)
% 1.42/0.54 % (6934)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.42/0.54 % (6937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (6937)Termination reason: Unknown
% 1.42/0.54 % (6937)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (6937)Memory used [KB]: 5756
% 1.42/0.54 % (6937)Time elapsed: 0.113 s
% 1.42/0.54 % (6937)Instructions burned: 4 (million)
% 1.42/0.54 % (6937)------------------------------
% 1.42/0.54 % (6937)------------------------------
% 1.42/0.54 % (6945)Instruction limit reached!
% 1.42/0.54 % (6945)------------------------------
% 1.42/0.54 % (6945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (6945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (6945)Termination reason: Unknown
% 1.42/0.54 % (6945)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (6945)Memory used [KB]: 1279
% 1.42/0.54 % (6945)Time elapsed: 0.003 s
% 1.42/0.54 % (6945)Instructions burned: 2 (million)
% 1.42/0.54 % (6945)------------------------------
% 1.42/0.54 % (6945)------------------------------
% 1.42/0.55 % (6955)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)
% 1.42/0.55 TRYING [1]
% 1.42/0.55 TRYING [2]
% 1.42/0.55 TRYING [3]
% 1.42/0.55 % (6944)Instruction limit reached!
% 1.42/0.55 % (6944)------------------------------
% 1.42/0.55 % (6944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (6944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (6944)Termination reason: Unknown
% 1.42/0.55 % (6944)Termination phase: Finite model building constraint generation
% 1.42/0.55
% 1.42/0.55 % (6944)Memory used [KB]: 6012
% 1.42/0.55 % (6944)Time elapsed: 0.139 s
% 1.42/0.55 % (6944)Instructions burned: 6 (million)
% 1.42/0.55 % (6944)------------------------------
% 1.42/0.55 % (6944)------------------------------
% 1.55/0.55 % (6935)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)
% 1.55/0.55 % (6956)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)
% 1.55/0.55 % (6950)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)
% 1.55/0.55 % (6957)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)
% 1.55/0.55 % (6943)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)
% 1.55/0.56 % (6929)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.55/0.56 % (6931)Instruction limit reached!
% 1.55/0.56 % (6931)------------------------------
% 1.55/0.56 % (6931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56 % (6931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56 % (6931)Termination reason: Unknown
% 1.55/0.56 % (6931)Termination phase: Saturation
% 1.55/0.56
% 1.55/0.56 % (6931)Memory used [KB]: 5884
% 1.55/0.56 % (6931)Time elapsed: 0.152 s
% 1.55/0.56 % (6931)Instructions burned: 5 (million)
% 1.55/0.56 % (6931)------------------------------
% 1.55/0.56 % (6931)------------------------------
% 1.55/0.56 % (6949)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)
% 1.55/0.56 % (6946)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.55/0.56 % (6934)First to succeed.
% 1.55/0.56 % (6948)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)
% 1.55/0.56 % (6930)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)
% 1.55/0.56 % (6934)Refutation found. Thanks to Tanya!
% 1.55/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.55/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.56 % (6934)------------------------------
% 1.55/0.56 % (6934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56 % (6934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56 % (6934)Termination reason: Refutation
% 1.55/0.56
% 1.55/0.56 % (6934)Memory used [KB]: 5884
% 1.55/0.56 % (6934)Time elapsed: 0.154 s
% 1.55/0.56 % (6934)Instructions burned: 9 (million)
% 1.55/0.56 % (6934)------------------------------
% 1.55/0.56 % (6934)------------------------------
% 1.55/0.56 % (6928)Success in time 0.208 s
%------------------------------------------------------------------------------