TSTP Solution File: HEN010-4 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : HEN010-4 : 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 16:24:28 EDT 2022
% Result : Unsatisfiable 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 30 ( 22 unt; 0 def)
% Number of atoms : 39 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f531,plain,
$false,
inference(subsumption_resolution,[],[f529,f87]) ).
fof(f87,plain,
~ less_equal(sF0,sF2),
inference(subsumption_resolution,[],[f86,f21]) ).
fof(f21,plain,
sF0 != sF2,
inference(definition_folding,[],[f17,f20,f19,f18,f18,f18]) ).
fof(f18,plain,
divide(identity,a) = sF0,
introduced(function_definition,[]) ).
fof(f19,plain,
sF1 = divide(identity,sF0),
introduced(function_definition,[]) ).
fof(f20,plain,
divide(sF0,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f17,axiom,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_inversion) ).
fof(f86,plain,
( ~ less_equal(sF0,sF2)
| sF0 = sF2 ),
inference(resolution,[],[f6,f28]) ).
fof(f28,plain,
less_equal(sF2,sF0),
inference(superposition,[],[f3,f20]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
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(f529,plain,
less_equal(sF0,sF2),
inference(trivial_inequality_removal,[],[f517]) ).
fof(f517,plain,
( less_equal(sF0,sF2)
| zero != zero ),
inference(superposition,[],[f2,f389]) ).
fof(f389,plain,
zero = divide(sF0,sF2),
inference(resolution,[],[f340,f84]) ).
fof(f84,plain,
! [X4] :
( ~ less_equal(X4,zero)
| zero = X4 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f340,plain,
less_equal(divide(sF0,sF2),zero),
inference(superposition,[],[f222,f159]) ).
fof(f159,plain,
sF0 = divide(identity,sF1),
inference(forward_demodulation,[],[f147,f19]) ).
fof(f147,plain,
divide(identity,divide(identity,sF0)) = sF0,
inference(superposition,[],[f16,f18]) ).
fof(f16,axiom,
! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(identity,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
fof(f222,plain,
! [X11] : less_equal(divide(divide(X11,sF1),sF2),zero),
inference(forward_demodulation,[],[f194,f171]) ).
fof(f171,plain,
! [X4] : zero = divide(divide(X4,sF0),sF1),
inference(resolution,[],[f146,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f146,plain,
! [X7] : less_equal(divide(X7,sF0),sF1),
inference(subsumption_resolution,[],[f141,f7]) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f141,plain,
! [X7] :
( less_equal(divide(X7,sF0),sF1)
| ~ less_equal(X7,identity) ),
inference(superposition,[],[f15,f19]) ).
fof(f15,axiom,
! [X2,X0,X1] :
( less_equal(divide(X0,X2),divide(X1,X2))
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).
fof(f194,plain,
! [X11] : less_equal(divide(divide(X11,sF1),sF2),divide(divide(X11,sF0),sF1)),
inference(superposition,[],[f4,f20]) ).
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
% 0.07/0.11 % Problem : HEN010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:51:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 % (17869)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.47 % (17886)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)
% 0.19/0.48 % (17879)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)
% 0.19/0.48 % (17886)Instruction limit reached!
% 0.19/0.48 % (17886)------------------------------
% 0.19/0.48 % (17886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (17886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (17886)Termination reason: Unknown
% 0.19/0.48 % (17886)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (17886)Memory used [KB]: 5756
% 0.19/0.48 % (17886)Time elapsed: 0.102 s
% 0.19/0.48 % (17886)Instructions burned: 2 (million)
% 0.19/0.48 % (17886)------------------------------
% 0.19/0.48 % (17886)------------------------------
% 0.19/0.48 % (17879)Refutation not found, incomplete strategy% (17879)------------------------------
% 0.19/0.48 % (17879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (17869)First to succeed.
% 0.19/0.48 % (17879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (17879)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (17879)Memory used [KB]: 5756
% 0.19/0.48 % (17879)Time elapsed: 0.100 s
% 0.19/0.48 % (17879)Instructions burned: 2 (million)
% 0.19/0.48 % (17879)------------------------------
% 0.19/0.48 % (17879)------------------------------
% 0.19/0.48 % (17869)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (17869)------------------------------
% 0.19/0.48 % (17869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (17869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (17869)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (17869)Memory used [KB]: 6140
% 0.19/0.48 % (17869)Time elapsed: 0.093 s
% 0.19/0.48 % (17869)Instructions burned: 19 (million)
% 0.19/0.48 % (17869)------------------------------
% 0.19/0.48 % (17869)------------------------------
% 0.19/0.48 % (17865)Success in time 0.141 s
%------------------------------------------------------------------------------