TSTP Solution File: HEN008-4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN008-4 : 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 : n014.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 16:24:38 EDT 2022
% Result : Unsatisfiable 1.56s 0.57s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 20 ( 16 unt; 0 def)
% Number of atoms : 25 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f521,plain,
$false,
inference(subsumption_resolution,[],[f516,f34]) ).
fof(f34,plain,
zero != divide(sF0,sF1),
inference(resolution,[],[f2,f19]) ).
fof(f19,plain,
~ less_equal(sF0,sF1),
inference(definition_folding,[],[f16,f18,f17]) ).
fof(f17,plain,
divide(a,c) = sF0,
introduced(function_definition,[]) ).
fof(f18,plain,
divide(b,c) = sF1,
introduced(function_definition,[]) ).
fof(f16,axiom,
~ less_equal(divide(a,c),divide(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divide_c_LE_b_divide_c) ).
fof(f2,axiom,
! [X0,X1] :
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f516,plain,
zero = divide(sF0,sF1),
inference(resolution,[],[f480,f39]) ).
fof(f39,plain,
! [X5] :
( ~ less_equal(X5,zero)
| zero = X5 ),
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(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f480,plain,
less_equal(divide(sF0,sF1),zero),
inference(forward_demodulation,[],[f479,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f479,plain,
less_equal(divide(sF0,sF1),divide(zero,c)),
inference(forward_demodulation,[],[f469,f29]) ).
fof(f29,plain,
zero = divide(a,b),
inference(resolution,[],[f1,f15]) ).
fof(f15,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f469,plain,
less_equal(divide(sF0,sF1),divide(divide(a,b),c)),
inference(superposition,[],[f85,f18]) ).
fof(f85,plain,
! [X7] : less_equal(divide(sF0,divide(X7,c)),divide(divide(a,X7),c)),
inference(superposition,[],[f4,f17]) ).
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
% 0.08/0.13 % Problem : HEN008-4 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % 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 : n014.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 22:55:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (21737)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (21752)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)
% 0.20/0.52 % (21729)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (21725)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)
% 0.20/0.53 TRYING [1]
% 1.31/0.53 TRYING [2]
% 1.31/0.53 TRYING [3]
% 1.31/0.53 % (21740)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)
% 1.31/0.53 % (21727)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)
% 1.31/0.53 % (21728)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)
% 1.31/0.53 % (21730)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)
% 1.31/0.53 % (21732)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.31/0.53 % (21733)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.31/0.54 % (21750)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.31/0.54 % (21738)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.31/0.54 % (21747)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)
% 1.31/0.54 % (21754)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)
% 1.31/0.54 % (21739)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)
% 1.31/0.54 % (21751)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)
% 1.31/0.54 % (21748)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)
% 1.31/0.54 % (21736)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)
% 1.31/0.54 % (21732)Instruction limit reached!
% 1.31/0.54 % (21732)------------------------------
% 1.31/0.54 % (21732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54 % (21726)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)
% 1.31/0.54 % (21742)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.31/0.55 TRYING [1]
% 1.31/0.55 TRYING [2]
% 1.31/0.55 % (21732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.55 % (21732)Termination reason: Unknown
% 1.31/0.55 % (21732)Termination phase: Saturation
% 1.31/0.55
% 1.31/0.55 % (21732)Memory used [KB]: 5500
% 1.31/0.55 % (21732)Time elapsed: 0.131 s
% 1.31/0.55 % (21732)Instructions burned: 7 (million)
% 1.31/0.55 % (21732)------------------------------
% 1.31/0.55 % (21732)------------------------------
% 1.31/0.55 % (21753)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.31/0.55 % (21743)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.31/0.55 % (21746)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.31/0.55 % (21735)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.55 TRYING [4]
% 1.56/0.55 % (21745)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)
% 1.56/0.55 % (21731)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)
% 1.56/0.55 TRYING [1]
% 1.56/0.55 TRYING [2]
% 1.56/0.56 TRYING [3]
% 1.56/0.56 % (21733)Instruction limit reached!
% 1.56/0.56 % (21733)------------------------------
% 1.56/0.56 % (21733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (21733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (21733)Termination reason: Unknown
% 1.56/0.56 % (21733)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (21733)Memory used [KB]: 5373
% 1.56/0.56 % (21733)Time elapsed: 0.125 s
% 1.56/0.56 % (21733)Instructions burned: 2 (million)
% 1.56/0.56 % (21733)------------------------------
% 1.56/0.56 % (21733)------------------------------
% 1.56/0.56 TRYING [4]
% 1.56/0.56 % (21734)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)
% 1.56/0.56 % (21744)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)
% 1.56/0.56 % (21740)First to succeed.
% 1.56/0.56 % (21749)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.56/0.56 % (21729)Also succeeded, but the first one will report.
% 1.56/0.57 % (21740)Refutation found. Thanks to Tanya!
% 1.56/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.57 % (21740)------------------------------
% 1.56/0.57 % (21740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57 % (21740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (21740)Termination reason: Refutation
% 1.56/0.57
% 1.56/0.57 % (21740)Memory used [KB]: 1279
% 1.56/0.57 % (21740)Time elapsed: 0.140 s
% 1.56/0.57 % (21740)Instructions burned: 20 (million)
% 1.56/0.57 % (21740)------------------------------
% 1.56/0.57 % (21740)------------------------------
% 1.56/0.57 % (21724)Success in time 0.209 s
%------------------------------------------------------------------------------