TSTP Solution File: HEN009-5 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN009-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n010.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 2.31s 0.69s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 19 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f509,plain,
$false,
inference(subsumption_resolution,[],[f508,f184]) ).
fof(f184,plain,
zero != divide(sF0,sF2),
inference(subsumption_resolution,[],[f181,f13]) ).
fof(f13,plain,
sF2 != sF0,
inference(definition_folding,[],[f9,f12,f11,f10,f10]) ).
fof(f10,plain,
divide(identity,a) = sF0,
introduced(function_definition,[]) ).
fof(f11,plain,
sF1 = divide(identity,sF0),
introduced(function_definition,[]) ).
fof(f12,plain,
sF2 = divide(identity,sF1),
introduced(function_definition,[]) ).
fof(f9,axiom,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f181,plain,
( sF2 = sF0
| zero != divide(sF0,sF2) ),
inference(trivial_inequality_removal,[],[f179]) ).
fof(f179,plain,
( sF2 = sF0
| zero != zero
| zero != divide(sF0,sF2) ),
inference(superposition,[],[f4,f172]) ).
fof(f172,plain,
zero = divide(sF2,sF0),
inference(forward_demodulation,[],[f155,f12]) ).
fof(f155,plain,
zero = divide(divide(identity,sF1),sF0),
inference(superposition,[],[f115,f11]) ).
fof(f115,plain,
! [X8,X7] : zero = divide(divide(X7,divide(X7,X8)),X8),
inference(trivial_inequality_removal,[],[f113]) ).
fof(f113,plain,
! [X8,X7] :
( zero = divide(divide(X7,divide(X7,X8)),X8)
| zero != zero ),
inference(superposition,[],[f7,f102]) ).
fof(f102,plain,
! [X12] : zero = divide(X12,X12),
inference(forward_demodulation,[],[f101,f83]) ).
fof(f83,plain,
! [X0,X1] : zero = divide(divide(X0,X0),X1),
inference(trivial_inequality_removal,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( zero = divide(divide(X0,X0),X1)
| zero != zero ),
inference(superposition,[],[f7,f1]) ).
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f101,plain,
! [X12,X13] : divide(X12,X12) = divide(divide(X12,X12),X13),
inference(trivial_inequality_removal,[],[f96]) ).
fof(f96,plain,
! [X12,X13] :
( zero != zero
| divide(X12,X12) = divide(divide(X12,X12),X13) ),
inference(superposition,[],[f26,f83]) ).
fof(f26,plain,
! [X2,X1] :
( zero != divide(X1,divide(X1,X2))
| divide(X1,X2) = X1 ),
inference(trivial_inequality_removal,[],[f21]) ).
fof(f21,plain,
! [X2,X1] :
( divide(X1,X2) = X1
| zero != zero
| zero != divide(X1,divide(X1,X2)) ),
inference(superposition,[],[f4,f1]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( zero != divide(divide(X0,X1),X2)
| zero = divide(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f4,axiom,
! [X0,X1] :
( zero != divide(X1,X0)
| X0 = X1
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divide_and_equal) ).
fof(f508,plain,
zero = divide(sF0,sF2),
inference(forward_demodulation,[],[f484,f12]) ).
fof(f484,plain,
zero = divide(sF0,divide(identity,sF1)),
inference(superposition,[],[f315,f10]) ).
fof(f315,plain,
! [X29] : zero = divide(divide(X29,a),divide(X29,sF1)),
inference(trivial_inequality_removal,[],[f304]) ).
fof(f304,plain,
! [X29] :
( zero != zero
| zero = divide(divide(X29,a),divide(X29,sF1)) ),
inference(superposition,[],[f8,f174]) ).
fof(f174,plain,
zero = divide(sF1,a),
inference(forward_demodulation,[],[f154,f11]) ).
fof(f154,plain,
zero = divide(divide(identity,sF0),a),
inference(superposition,[],[f115,f10]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( divide(X0,X1) != zero
| zero = divide(divide(X2,X1),divide(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HEN009-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.13 % 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 : n010.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 22:47:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.54 % (7201)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)
% 0.21/0.55 % (7178)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)
% 0.21/0.55 % (7193)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)
% 0.21/0.55 % (7194)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)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.56 TRYING [3]
% 0.21/0.56 % (7185)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 % (7186)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.57 TRYING [4]
% 0.21/0.57 % (7185)Instruction limit reached!
% 0.21/0.57 % (7185)------------------------------
% 0.21/0.57 % (7185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (7185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (7185)Termination reason: Unknown
% 0.21/0.57 % (7185)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (7185)Memory used [KB]: 5500
% 0.21/0.57 % (7185)Time elapsed: 0.097 s
% 0.21/0.57 % (7185)Instructions burned: 7 (million)
% 0.21/0.57 % (7185)------------------------------
% 0.21/0.57 % (7185)------------------------------
% 0.21/0.57 % (7184)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)
% 0.21/0.57 TRYING [1]
% 0.21/0.57 TRYING [2]
% 0.21/0.58 % (7186)Instruction limit reached!
% 0.21/0.58 % (7186)------------------------------
% 0.21/0.58 % (7186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (7183)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)
% 0.21/0.58 % (7189)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)
% 0.21/0.58 % (7186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (7186)Termination reason: Unknown
% 0.21/0.58 % (7186)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (7186)Memory used [KB]: 5373
% 0.21/0.58 % (7186)Time elapsed: 0.156 s
% 0.21/0.58 % (7186)Instructions burned: 2 (million)
% 0.21/0.58 % (7186)------------------------------
% 0.21/0.58 % (7186)------------------------------
% 0.21/0.59 % (7187)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)
% 0.21/0.59 % (7190)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.59 % (7200)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)
% 0.21/0.60 TRYING [3]
% 0.21/0.60 % (7188)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.60 % (7181)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)
% 1.80/0.60 TRYING [4]
% 1.80/0.61 % (7192)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)
% 1.80/0.61 % (7179)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)
% 1.80/0.61 % (7182)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.80/0.61 % (7202)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.80/0.61 % (7199)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.80/0.62 % (7180)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)
% 1.80/0.62 % (7205)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)
% 1.80/0.62 % (7207)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)
% 2.11/0.62 TRYING [5]
% 2.11/0.62 % (7195)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.11/0.62 % (7206)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.11/0.62 TRYING [1]
% 2.11/0.62 TRYING [2]
% 2.11/0.63 TRYING [3]
% 2.11/0.63 % (7191)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.11/0.63 % (7203)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.11/0.63 % (7198)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)
% 2.11/0.63 % (7204)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)
% 2.11/0.63 % (7197)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)
% 2.11/0.64 % (7196)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.31/0.65 TRYING [4]
% 2.31/0.68 % (7193)Instruction limit reached!
% 2.31/0.68 % (7193)------------------------------
% 2.31/0.68 % (7193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68 % (7184)Instruction limit reached!
% 2.31/0.68 % (7184)------------------------------
% 2.31/0.68 % (7184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68 % (7184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.68 % (7184)Termination reason: Unknown
% 2.31/0.68 % (7184)Termination phase: Finite model building SAT solving
% 2.31/0.68
% 2.31/0.68 % (7184)Memory used [KB]: 7291
% 2.31/0.68 % (7184)Time elapsed: 0.209 s
% 2.31/0.68 % (7184)Instructions burned: 52 (million)
% 2.31/0.68 % (7184)------------------------------
% 2.31/0.68 % (7184)------------------------------
% 2.31/0.68 % (7191)First to succeed.
% 2.31/0.69 % (7191)Refutation found. Thanks to Tanya!
% 2.31/0.69 % SZS status Unsatisfiable for theBenchmark
% 2.31/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.69 % (7191)------------------------------
% 2.31/0.69 % (7191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.69 % (7191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.69 % (7191)Termination reason: Refutation
% 2.31/0.69
% 2.31/0.69 % (7191)Memory used [KB]: 5628
% 2.31/0.69 % (7191)Time elapsed: 0.251 s
% 2.31/0.69 % (7191)Instructions burned: 18 (million)
% 2.31/0.69 % (7191)------------------------------
% 2.31/0.69 % (7191)------------------------------
% 2.31/0.69 % (7177)Success in time 0.335 s
%------------------------------------------------------------------------------