TSTP Solution File: HEN009-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN009-6 : 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 : n020.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 16:24:39 EDT 2022
% Result : Unsatisfiable 2.21s 0.65s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 47 ( 29 unt; 0 def)
% Number of atoms : 66 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 20 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1773,plain,
$false,
inference(avatar_sat_refutation,[],[f124,f1719,f1766]) ).
fof(f1766,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f1765]) ).
fof(f1765,plain,
( $false
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1722]) ).
fof(f1722,plain,
( b != b
| ~ spl0_8 ),
inference(superposition,[],[f17,f123]) ).
fof(f123,plain,
( b = d
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl0_8
<=> b = d ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f17,axiom,
b != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_equals_d) ).
fof(f1719,plain,
spl0_7,
inference(avatar_split_clause,[],[f1717,f117]) ).
fof(f117,plain,
( spl0_7
<=> less_equal(b,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1717,plain,
less_equal(b,d),
inference(superposition,[],[f1700,f14]) ).
fof(f14,axiom,
divide(identity,a) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_a_is_b) ).
fof(f1700,plain,
! [X0] : less_equal(divide(X0,a),d),
inference(resolution,[],[f1695,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f1695,plain,
! [X9] : less_equal(divide(X9,d),a),
inference(trivial_inequality_removal,[],[f1682]) ).
fof(f1682,plain,
! [X9] :
( zero != zero
| less_equal(divide(X9,d),a) ),
inference(superposition,[],[f2,f1657]) ).
fof(f1657,plain,
! [X2] : zero = divide(divide(X2,d),a),
inference(resolution,[],[f1540,f652]) ).
fof(f652,plain,
! [X0] : less_equal(divide(X0,d),c),
inference(resolution,[],[f648,f11]) ).
fof(f648,plain,
! [X2] : less_equal(divide(X2,c),d),
inference(trivial_inequality_removal,[],[f637]) ).
fof(f637,plain,
! [X2] :
( less_equal(divide(X2,c),d)
| zero != zero ),
inference(superposition,[],[f2,f484]) ).
fof(f484,plain,
! [X1] : zero = divide(divide(X1,c),d),
inference(resolution,[],[f451,f77]) ).
fof(f77,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| X0 = X1
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f451,plain,
! [X17] : less_equal(divide(divide(X17,c),d),zero),
inference(forward_demodulation,[],[f450,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f450,plain,
! [X17] : less_equal(divide(divide(X17,c),d),divide(zero,c)),
inference(forward_demodulation,[],[f392,f8]) ).
fof(f8,axiom,
! [X0] : zero = divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everything_divide_id_is_zero) ).
fof(f392,plain,
! [X17] : less_equal(divide(divide(X17,c),d),divide(divide(X17,identity),c)),
inference(superposition,[],[f4,f16]) ).
fof(f16,axiom,
divide(identity,c) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_c_is_d) ).
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(f1540,plain,
! [X3] :
( ~ less_equal(X3,c)
| zero = divide(X3,a) ),
inference(resolution,[],[f179,f77]) ).
fof(f179,plain,
! [X2] :
( less_equal(divide(X2,a),zero)
| ~ less_equal(X2,c) ),
inference(superposition,[],[f12,f126]) ).
fof(f126,plain,
zero = divide(c,a),
inference(resolution,[],[f113,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(f113,plain,
less_equal(c,a),
inference(forward_demodulation,[],[f107,f15]) ).
fof(f15,axiom,
divide(identity,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_b_is_c) ).
fof(f107,plain,
less_equal(divide(identity,b),a),
inference(superposition,[],[f88,f14]) ).
fof(f88,plain,
! [X4,X5] : less_equal(divide(X4,divide(X4,X5)),X5),
inference(resolution,[],[f11,f45]) ).
fof(f45,plain,
! [X1] : less_equal(X1,X1),
inference(trivial_inequality_removal,[],[f39]) ).
fof(f39,plain,
! [X1] :
( less_equal(X1,X1)
| zero != zero ),
inference(superposition,[],[f2,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f12,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(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f124,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f114,f121,f117]) ).
fof(f114,plain,
( b = d
| ~ less_equal(b,d) ),
inference(resolution,[],[f111,f6]) ).
fof(f111,plain,
less_equal(d,b),
inference(forward_demodulation,[],[f108,f16]) ).
fof(f108,plain,
less_equal(divide(identity,c),b),
inference(superposition,[],[f88,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HEN009-6 : 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_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.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 22:56:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.46/0.55 % (29593)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)
% 1.46/0.56 % (29602)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)
% 1.46/0.56 % (29592)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)
% 1.71/0.57 % (29613)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)
% 1.71/0.59 % (29591)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)
% 1.71/0.59 TRYING [1]
% 1.71/0.59 TRYING [2]
% 1.71/0.59 % (29614)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)
% 1.71/0.59 TRYING [3]
% 1.71/0.59 % (29597)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)
% 1.71/0.59 TRYING [1]
% 1.71/0.59 TRYING [2]
% 1.71/0.59 % (29606)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)
% 1.71/0.59 % (29596)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)
% 1.71/0.59 TRYING [3]
% 1.71/0.60 % (29592)Refutation not found, incomplete strategy% (29592)------------------------------
% 1.71/0.60 % (29592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (29592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (29592)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.60
% 1.71/0.60 % (29592)Memory used [KB]: 5628
% 1.71/0.60 % (29592)Time elapsed: 0.179 s
% 1.71/0.60 % (29592)Instructions burned: 14 (million)
% 1.71/0.60 % (29592)------------------------------
% 1.71/0.60 % (29592)------------------------------
% 1.71/0.60 % (29619)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.71/0.60 % (29601)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.71/0.60 % (29612)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.71/0.60 % (29595)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.71/0.60 % (29594)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)
% 1.71/0.60 % (29599)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.71/0.60 % (29599)Instruction limit reached!
% 1.71/0.60 % (29599)------------------------------
% 1.71/0.60 % (29599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (29599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (29599)Termination reason: Unknown
% 1.71/0.60 % (29599)Termination phase: Saturation
% 1.71/0.60
% 1.71/0.60 % (29599)Memory used [KB]: 895
% 1.71/0.60 % (29599)Time elapsed: 0.002 s
% 1.71/0.60 % (29599)Instructions burned: 2 (million)
% 1.71/0.60 % (29599)------------------------------
% 1.71/0.60 % (29599)------------------------------
% 1.71/0.61 % (29611)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)
% 1.71/0.61 % (29617)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)
% 1.71/0.61 TRYING [4]
% 1.71/0.61 % (29616)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.71/0.61 % (29615)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.71/0.61 % (29618)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)
% 1.71/0.62 % (29609)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.71/0.62 % (29600)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)
% 1.71/0.62 TRYING [4]
% 1.71/0.62 % (29604)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.71/0.62 % (29603)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.71/0.63 % (29607)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.71/0.63 % (29608)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.71/0.63 TRYING [1]
% 1.71/0.63 % (29610)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)
% 1.71/0.63 TRYING [2]
% 1.71/0.63 TRYING [3]
% 1.71/0.63 % (29620)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)
% 1.71/0.63 % (29598)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.71/0.63 % (29605)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)
% 1.71/0.64 % (29593)Instruction limit reached!
% 1.71/0.64 % (29593)------------------------------
% 1.71/0.64 % (29593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.64 % (29593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.64 % (29593)Termination reason: Unknown
% 1.71/0.64 % (29593)Termination phase: Saturation
% 1.71/0.64
% 1.71/0.64 % (29593)Memory used [KB]: 1407
% 1.71/0.64 % (29593)Time elapsed: 0.216 s
% 1.71/0.64 % (29593)Instructions burned: 37 (million)
% 1.71/0.64 % (29593)------------------------------
% 1.71/0.64 % (29593)------------------------------
% 1.71/0.64 % (29602)First to succeed.
% 2.21/0.65 % (29602)Refutation found. Thanks to Tanya!
% 2.21/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.21/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.65 % (29602)------------------------------
% 2.21/0.65 % (29602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (29602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (29602)Termination reason: Refutation
% 2.21/0.65
% 2.21/0.65 % (29602)Memory used [KB]: 6140
% 2.21/0.65 % (29602)Time elapsed: 0.218 s
% 2.21/0.65 % (29602)Instructions burned: 38 (million)
% 2.21/0.65 % (29602)------------------------------
% 2.21/0.65 % (29602)------------------------------
% 2.21/0.65 % (29590)Success in time 0.293 s
%------------------------------------------------------------------------------