TSTP Solution File: HEN004-4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN004-4 : 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_sat --cores 0 -t %d %s
% Computer : n022.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 16:24:34 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 56 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 23 ~; 19 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f193,plain,
$false,
inference(avatar_sat_refutation,[],[f143,f174,f177,f189]) ).
fof(f189,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| ~ spl1_4 ),
inference(trivial_inequality_removal,[],[f179]) ).
fof(f179,plain,
( a != a
| ~ spl1_4 ),
inference(superposition,[],[f13,f63]) ).
fof(f63,plain,
( a = sF0
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl1_4
<=> a = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f13,plain,
a != sF0,
inference(definition_folding,[],[f11,f12]) ).
fof(f12,plain,
divide(a,zero) = sF0,
introduced(function_definition,[]) ).
fof(f11,axiom,
a != divide(a,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).
fof(f177,plain,
( ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f75,f61,f57]) ).
fof(f57,plain,
( spl1_3
<=> less_equal(a,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f75,plain,
( a = sF0
| ~ less_equal(a,sF0) ),
inference(superposition,[],[f53,f12]) ).
fof(f53,plain,
! [X2,X3] :
( ~ less_equal(X2,divide(X2,X3))
| divide(X2,X3) = X2 ),
inference(resolution,[],[f6,f3]) ).
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(f174,plain,
( spl1_3
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f172,f135,f57]) ).
fof(f135,plain,
( spl1_5
<=> zero = divide(divide(a,sF0),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f172,plain,
( less_equal(a,sF0)
| ~ spl1_5 ),
inference(trivial_inequality_removal,[],[f165]) ).
fof(f165,plain,
( less_equal(a,sF0)
| zero != zero
| ~ spl1_5 ),
inference(superposition,[],[f2,f158]) ).
fof(f158,plain,
( zero = divide(a,sF0)
| ~ spl1_5 ),
inference(resolution,[],[f154,f54]) ).
fof(f54,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(f154,plain,
( less_equal(divide(a,sF0),zero)
| ~ spl1_5 ),
inference(trivial_inequality_removal,[],[f147]) ).
fof(f147,plain,
( zero != zero
| less_equal(divide(a,sF0),zero)
| ~ spl1_5 ),
inference(superposition,[],[f2,f137]) ).
fof(f137,plain,
( zero = divide(divide(a,sF0),zero)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f143,plain,
spl1_5,
inference(avatar_split_clause,[],[f131,f135]) ).
fof(f131,plain,
zero = divide(divide(a,sF0),zero),
inference(resolution,[],[f126,f54]) ).
fof(f126,plain,
less_equal(divide(divide(a,sF0),zero),zero),
inference(superposition,[],[f106,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f106,plain,
! [X9] : less_equal(divide(divide(a,X9),zero),divide(sF0,X9)),
inference(forward_demodulation,[],[f97,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f97,plain,
! [X9] : less_equal(divide(divide(a,X9),divide(zero,X9)),divide(sF0,X9)),
inference(superposition,[],[f4,f12]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN004-4 : 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_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.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 22:58:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (7573)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 % (7565)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50 % (7557)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 TRYING [4]
% 0.19/0.51 % (7558)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (7552)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (7554)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)
% 0.19/0.52 % (7551)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (7553)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (7554)First to succeed.
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (7580)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52 % (7555)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (7562)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 TRYING [4]
% 0.19/0.53 % (7561)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (7556)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)
% 0.19/0.53 % (7563)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (7562)Also succeeded, but the first one will report.
% 0.19/0.53 % (7554)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (7554)------------------------------
% 0.19/0.53 % (7554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (7554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (7554)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (7554)Memory used [KB]: 5500
% 0.19/0.53 % (7554)Time elapsed: 0.121 s
% 0.19/0.53 % (7554)Instructions burned: 4 (million)
% 0.19/0.53 % (7554)------------------------------
% 0.19/0.53 % (7554)------------------------------
% 0.19/0.53 % (7550)Success in time 0.183 s
%------------------------------------------------------------------------------