TSTP Solution File: HEN003-5 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN003-5 : 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_sat --cores 0 -t %d %s
% Computer : n011.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 16:24:33 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 42 ( 28 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f154,plain,
$false,
inference(avatar_sat_refutation,[],[f123,f145,f153]) ).
fof(f153,plain,
~ spl1_6,
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f152,plain,
( $false
| ~ spl1_6 ),
inference(trivial_inequality_removal,[],[f146]) ).
fof(f146,plain,
( zero != zero
| ~ spl1_6 ),
inference(superposition,[],[f8,f141]) ).
fof(f141,plain,
( zero = sF0
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl1_6
<=> zero = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f8,plain,
zero != sF0,
inference(definition_folding,[],[f6,f7]) ).
fof(f7,plain,
divide(a,a) = sF0,
introduced(function_definition,[]) ).
fof(f6,axiom,
zero != divide(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
fof(f145,plain,
( spl1_6
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f132,f112,f139]) ).
fof(f112,plain,
( spl1_3
<=> zero = divide(sF0,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f132,plain,
( zero = sF0
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f125]) ).
fof(f125,plain,
( zero = sF0
| zero != zero
| ~ spl1_3 ),
inference(superposition,[],[f20,f114]) ).
fof(f114,plain,
( zero = divide(sF0,zero)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f20,plain,
! [X3] :
( zero != divide(X3,zero)
| zero = X3 ),
inference(trivial_inequality_removal,[],[f16]) ).
fof(f16,plain,
! [X3] :
( zero = X3
| zero != divide(X3,zero)
| zero != zero ),
inference(superposition,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f4,axiom,
! [X0,X1] :
( zero != divide(X1,X0)
| X0 = X1
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divide_and_equal) ).
fof(f123,plain,
spl1_3,
inference(avatar_split_clause,[],[f108,f112]) ).
fof(f108,plain,
zero = divide(sF0,zero),
inference(trivial_inequality_removal,[],[f101]) ).
fof(f101,plain,
( zero = divide(sF0,zero)
| zero != zero ),
inference(superposition,[],[f20,f85]) ).
fof(f85,plain,
zero = divide(divide(sF0,zero),zero),
inference(superposition,[],[f72,f3]) ).
fof(f72,plain,
! [X11] : zero = divide(divide(sF0,divide(X11,a)),zero),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f47,plain,
! [X11] : zero = divide(divide(sF0,divide(X11,a)),divide(divide(a,X11),a)),
inference(superposition,[],[f2,f7]) ).
fof(f2,axiom,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN003-5 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:52:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.49 % (30167)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (30183)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.50 % (30190)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.50 % (30184)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.50 % (30175)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (30170)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.51 % (30167)First to succeed.
% 0.21/0.51 % (30167)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (30167)------------------------------
% 0.21/0.51 % (30167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (30167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (30167)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (30167)Memory used [KB]: 5500
% 0.21/0.51 % (30167)Time elapsed: 0.110 s
% 0.21/0.51 % (30167)Instructions burned: 5 (million)
% 0.21/0.51 % (30167)------------------------------
% 0.21/0.51 % (30167)------------------------------
% 0.21/0.51 % (30162)Success in time 0.157 s
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