TSTP Solution File: HEN004-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN004-1 : 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 : n028.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 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 22 unt; 0 def)
% Number of atoms : 66 ( 13 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 57 ( 29 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f577,plain,
$false,
inference(resolution,[],[f529,f10]) ).
fof(f10,axiom,
~ quotient(x,zero,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divde_zero_is_x) ).
fof(f529,plain,
! [X20] : quotient(X20,zero,X20),
inference(superposition,[],[f8,f490]) ).
fof(f490,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f469,f16]) ).
fof(f16,plain,
! [X2,X3] :
( ~ less_equal(X2,divide(X2,X3))
| divide(X2,X3) = X2 ),
inference(resolution,[],[f6,f12]) ).
fof(f12,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(resolution,[],[f3,f8]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divisor_existence) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f469,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(resolution,[],[f458,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f458,plain,
! [X4] : quotient(X4,divide(X4,zero),zero),
inference(superposition,[],[f8,f432]) ).
fof(f432,plain,
! [X7] : zero = divide(X7,divide(X7,zero)),
inference(resolution,[],[f406,f14]) ).
fof(f14,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f406,plain,
! [X6] : less_equal(divide(X6,divide(X6,zero)),zero),
inference(resolution,[],[f391,f2]) ).
fof(f391,plain,
! [X13] : quotient(divide(X13,divide(X13,zero)),zero,zero),
inference(superposition,[],[f8,f354]) ).
fof(f354,plain,
! [X7] : zero = divide(divide(X7,divide(X7,zero)),zero),
inference(resolution,[],[f337,f14]) ).
fof(f337,plain,
! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(resolution,[],[f223,f8]) ).
fof(f223,plain,
! [X16,X17] :
( ~ quotient(X16,divide(X16,zero),X17)
| less_equal(divide(X17,zero),zero) ),
inference(superposition,[],[f135,f203]) ).
fof(f203,plain,
! [X7] : zero = divide(X7,X7),
inference(resolution,[],[f188,f14]) ).
fof(f188,plain,
! [X6] : less_equal(divide(X6,X6),zero),
inference(resolution,[],[f177,f2]) ).
fof(f177,plain,
! [X9] : quotient(divide(X9,X9),zero,zero),
inference(superposition,[],[f8,f162]) ).
fof(f162,plain,
! [X7] : zero = divide(divide(X7,X7),zero),
inference(resolution,[],[f155,f14]) ).
fof(f155,plain,
! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
inference(resolution,[],[f150,f8]) ).
fof(f150,plain,
! [X0,X1] :
( ~ quotient(X0,X0,X1)
| less_equal(divide(X1,zero),zero) ),
inference(superposition,[],[f135,f37]) ).
fof(f37,plain,
! [X2,X3] : zero = divide(divide(X2,X3),X2),
inference(resolution,[],[f33,f12]) ).
fof(f33,plain,
! [X2,X3] :
( ~ less_equal(X2,X3)
| zero = divide(X2,X3) ),
inference(resolution,[],[f26,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ quotient(X1,X2,X0)
| divide(X1,X2) = X0 ),
inference(resolution,[],[f9,f8]) ).
fof(f9,axiom,
! [X2,X0,X1,X8] :
( ~ quotient(X0,X1,X8)
| X2 = X8
| ~ quotient(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_defined) ).
fof(f135,plain,
! [X2,X0,X1] :
( less_equal(divide(X2,zero),divide(divide(X0,zero),X1))
| ~ quotient(X0,X1,X2) ),
inference(resolution,[],[f87,f8]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X3,zero,X1)
| ~ quotient(X3,X2,X0)
| less_equal(divide(X0,zero),divide(X1,X2)) ),
inference(resolution,[],[f85,f8]) ).
fof(f85,plain,
! [X21,X18,X19,X17,X20] :
( ~ quotient(X18,X19,X20)
| less_equal(divide(X21,zero),X20)
| ~ quotient(X17,zero,X18)
| ~ quotient(X17,X19,X21) ),
inference(resolution,[],[f77,f20]) ).
fof(f20,plain,
! [X1] : quotient(zero,X1,zero),
inference(superposition,[],[f8,f18]) ).
fof(f18,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f14,f12]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ quotient(X4,X1,X6)
| ~ quotient(X3,X4,X0)
| ~ quotient(X0,X1,X2)
| less_equal(divide(X5,X6),X2)
| ~ quotient(X3,X1,X5) ),
inference(resolution,[],[f4,f8]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3)
| less_equal(X6,X7)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN004-1 : 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
% 0.13/0.34 % Computer : n028.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 23:04:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (7154)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)
% 0.19/0.50 % (7162)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)
% 0.19/0.50 % (7155)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (7174)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51 % (7171)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51 % (7157)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 % (7160)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (7173)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)
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 TRYING [4]
% 0.19/0.52 % (7156)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)
% 0.19/0.52 % (7153)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 % (7161)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (7163)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (7164)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (7159)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (7159)Instruction limit reached!
% 0.19/0.52 % (7159)------------------------------
% 0.19/0.52 % (7159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (7159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (7159)Termination reason: Unknown
% 0.19/0.52 % (7159)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (7159)Memory used [KB]: 5373
% 0.19/0.52 % (7159)Time elapsed: 0.123 s
% 0.19/0.52 % (7159)Instructions burned: 2 (million)
% 0.19/0.52 % (7159)------------------------------
% 0.19/0.52 % (7159)------------------------------
% 0.19/0.52 % (7165)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)
% 0.19/0.52 % (7154)First to succeed.
% 0.19/0.53 % (7152)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)
% 0.19/0.53 % (7176)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (7179)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (7152)Refutation not found, incomplete strategy% (7152)------------------------------
% 0.19/0.53 % (7152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (7152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (7152)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (7152)Memory used [KB]: 5373
% 0.19/0.53 % (7152)Time elapsed: 0.124 s
% 0.19/0.53 % (7152)------------------------------
% 0.19/0.53 % (7152)------------------------------
% 0.19/0.53 % (7170)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)
% 0.19/0.53 % (7158)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (7151)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)
% 0.19/0.53 % (7166)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (7181)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)
% 0.19/0.53 TRYING [5]
% 0.19/0.54 % (7168)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (7175)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (7172)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 TRYING [4]
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 TRYING [4]
% 0.19/0.54 % (7178)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (7155)Also succeeded, but the first one will report.
% 0.19/0.55 % (7154)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (7154)------------------------------
% 0.19/0.55 % (7154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (7154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (7154)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (7154)Memory used [KB]: 5628
% 0.19/0.55 % (7154)Time elapsed: 0.128 s
% 0.19/0.55 % (7154)Instructions burned: 18 (million)
% 0.19/0.55 % (7154)------------------------------
% 0.19/0.55 % (7154)------------------------------
% 0.19/0.55 % (7147)Success in time 0.194 s
%------------------------------------------------------------------------------