TSTP Solution File: HEN005-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : HEN005-3 : 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_uns --cores 0 -t %d %s
% Computer : n017.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 1.36s 0.53s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 31 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f273,plain,
$false,
inference(subsumption_resolution,[],[f269,f10]) ).
fof(f10,axiom,
~ less_equal(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_LE_c) ).
fof(f269,plain,
less_equal(a,c),
inference(trivial_inequality_removal,[],[f256]) ).
fof(f256,plain,
( less_equal(a,c)
| zero != zero ),
inference(superposition,[],[f2,f251]) ).
fof(f251,plain,
zero = divide(a,c),
inference(subsumption_resolution,[],[f249,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f249,plain,
( zero = divide(a,c)
| ~ less_equal(zero,divide(a,c)) ),
inference(resolution,[],[f236,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(f236,plain,
less_equal(divide(a,c),zero),
inference(trivial_inequality_removal,[],[f223]) ).
fof(f223,plain,
( less_equal(divide(a,c),zero)
| zero != zero ),
inference(superposition,[],[f2,f215]) ).
fof(f215,plain,
zero = divide(divide(a,c),zero),
inference(resolution,[],[f212,f18]) ).
fof(f18,plain,
! [X3] :
( ~ less_equal(X3,zero)
| zero = X3 ),
inference(resolution,[],[f6,f5]) ).
fof(f212,plain,
less_equal(divide(divide(a,c),zero),zero),
inference(superposition,[],[f47,f15]) ).
fof(f15,plain,
zero = divide(b,c),
inference(resolution,[],[f1,f9]) ).
fof(f9,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(f47,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),zero),
inference(forward_demodulation,[],[f41,f13]) ).
fof(f13,plain,
! [X3] : zero = divide(zero,X3),
inference(resolution,[],[f1,f5]) ).
fof(f41,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
inference(superposition,[],[f4,f14]) ).
fof(f14,plain,
zero = divide(a,b),
inference(resolution,[],[f1,f8]) ).
fof(f8,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) ).
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
% 0.07/0.12 % Problem : HEN005-3 : 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 : n017.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 22:21:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.24/0.52 % (27401)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)
% 1.24/0.52 % (27399)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.24/0.52 % (27403)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)
% 1.24/0.52 % (27407)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)
% 1.24/0.53 % (27407)Instruction limit reached!
% 1.24/0.53 % (27407)------------------------------
% 1.24/0.53 % (27407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (27407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (27407)Termination reason: Unknown
% 1.24/0.53 % (27407)Termination phase: Saturation
% 1.24/0.53
% 1.24/0.53 % (27407)Memory used [KB]: 5756
% 1.24/0.53 % (27407)Time elapsed: 0.114 s
% 1.24/0.53 % (27407)Instructions burned: 3 (million)
% 1.24/0.53 % (27407)------------------------------
% 1.24/0.53 % (27407)------------------------------
% 1.24/0.53 % (27418)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)
% 1.24/0.53 % (27423)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)
% 1.36/0.53 % (27402)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)
% 1.36/0.53 % (27404)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.36/0.53 % (27428)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)
% 1.36/0.53 % (27428)Refutation not found, incomplete strategy% (27428)------------------------------
% 1.36/0.53 % (27428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (27401)Instruction limit reached!
% 1.36/0.53 % (27401)------------------------------
% 1.36/0.53 % (27401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (27401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (27401)Termination reason: Unknown
% 1.36/0.53 % (27401)Termination phase: Saturation
% 1.36/0.53
% 1.36/0.53 % (27401)Memory used [KB]: 5884
% 1.36/0.53 % (27401)Time elapsed: 0.123 s
% 1.36/0.53 % (27401)Instructions burned: 4 (million)
% 1.36/0.53 % (27401)------------------------------
% 1.36/0.53 % (27401)------------------------------
% 1.36/0.53 % (27428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (27428)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.53
% 1.36/0.53 % (27428)Memory used [KB]: 5756
% 1.36/0.53 % (27428)Time elapsed: 0.123 s
% 1.36/0.53 % (27428)Instructions burned: 1 (million)
% 1.36/0.53 % (27428)------------------------------
% 1.36/0.53 % (27428)------------------------------
% 1.36/0.53 % (27411)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)
% 1.36/0.53 % (27402)First to succeed.
% 1.36/0.53 % (27413)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)
% 1.36/0.53 % (27402)Refutation found. Thanks to Tanya!
% 1.36/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.36/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.53 % (27402)------------------------------
% 1.36/0.53 % (27402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (27402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (27402)Termination reason: Refutation
% 1.36/0.53
% 1.36/0.53 % (27402)Memory used [KB]: 6012
% 1.36/0.53 % (27402)Time elapsed: 0.129 s
% 1.36/0.53 % (27402)Instructions burned: 10 (million)
% 1.36/0.53 % (27402)------------------------------
% 1.36/0.53 % (27402)------------------------------
% 1.36/0.53 % (27397)Success in time 0.178 s
%------------------------------------------------------------------------------