TSTP Solution File: ARI608_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI608_1 : TPTP v8.1.0. Released v5.1.0.
% 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 : n012.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 15:48:42 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 83 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 83 ( 36 ~; 23 |; 14 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 83 ( 59 atm; 0 fun; 0 num; 24 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 24 ( 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
b: $int ).
tff(func_def_3,type,
c: $int ).
tff(func_def_8,type,
sF0: $int ).
tff(func_def_9,type,
sF1: $int ).
tff(f204,plain,
$false,
inference(avatar_sat_refutation,[],[f103,f176,f203]) ).
tff(f203,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f202]) ).
tff(f202,plain,
( $false
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f200,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f200,plain,
( $less(c,c)
| ~ spl2_1 ),
inference(resolution,[],[f199,f64]) ).
tff(f64,plain,
! [X3: $int] :
( ~ $less(X3,b)
| $less(X3,c) ),
inference(resolution,[],[f10,f20]) ).
tff(f20,plain,
$less(b,c),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( $less(f(c),f(a))
& ! [X0: $int,X1: $int] :
( $less(X0,X1)
| ~ $less(f(X0),f(X1)) )
& $less(b,c)
& ~ $less(b,a) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( $less(f(c),f(a))
& ~ $less(b,a)
& ! [X0: $int,X1: $int] :
( $less(X0,X1)
| ~ $less(f(X0),f(X1)) )
& $less(b,c) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( ~ $less(b,a)
& ! [X1: $int,X0: $int] :
( ~ $less(X0,X1)
=> ~ $less(f(X0),f(X1)) )
& $less(b,c) )
=> ~ $less(f(c),f(a)) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ! [X1: $int,X0: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) )
& $less(b,c)
& ~ $less(b,a) )
=> ~ $less(f(c),f(a)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
& $less(b,c)
& $lesseq(a,b) )
=> $lesseq(f(a),f(c)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
& $less(b,c)
& $lesseq(a,b) )
=> $lesseq(f(a),f(c)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_mon_implies_trans) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f199,plain,
( $less(c,b)
| ~ spl2_1 ),
inference(resolution,[],[f180,f50]) ).
tff(f50,plain,
$less(c,a),
inference(subsumption_resolution,[],[f49,f25]) ).
tff(f25,plain,
$less(sF0,sF1),
inference(definition_folding,[],[f22,f24,f23]) ).
tff(f23,plain,
f(c) = sF0,
introduced(function_definition,[]) ).
tff(f24,plain,
f(a) = sF1,
introduced(function_definition,[]) ).
tff(f22,plain,
$less(f(c),f(a)),
inference(cnf_transformation,[],[f18]) ).
tff(f49,plain,
( $less(c,a)
| ~ $less(sF0,sF1) ),
inference(superposition,[],[f44,f24]) ).
tff(f44,plain,
! [X0: $int] :
( ~ $less(sF0,f(X0))
| $less(c,X0) ),
inference(superposition,[],[f21,f23]) ).
tff(f21,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X0),f(X1))
| $less(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f180,plain,
( ! [X0: $int] :
( ~ $less(X0,a)
| $less(X0,b) )
| ~ spl2_1 ),
inference(resolution,[],[f97,f10]) ).
tff(f97,plain,
( $less(a,b)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f95]) ).
tff(f95,plain,
( spl2_1
<=> $less(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f176,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f175]) ).
tff(f175,plain,
( $false
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f174,f9]) ).
tff(f174,plain,
( $less(c,c)
| ~ spl2_2 ),
inference(resolution,[],[f105,f50]) ).
tff(f105,plain,
( ! [X3: $int] :
( ~ $less(X3,a)
| $less(X3,c) )
| ~ spl2_2 ),
inference(backward_demodulation,[],[f64,f101]) ).
tff(f101,plain,
( ( a = b )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f99,plain,
( spl2_2
<=> ( a = b ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f103,plain,
( spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f91,f95,f99]) ).
tff(f91,plain,
( $less(a,b)
| ( a = b ) ),
inference(resolution,[],[f11,f19]) ).
tff(f19,plain,
~ $less(b,a),
inference(cnf_transformation,[],[f18]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI608=1 : TPTP v8.1.0. Released v5.1.0.
% 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
% 0.13/0.34 % Computer : n012.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 15:50:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (23198)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.49 % (23210)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.50 % (23202)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.50 % (23207)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 (3000ds/498Mi)
% 0.19/0.50 % (23197)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.51 % (23199)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 (3000ds/68Mi)
% 0.19/0.51 % (23186)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.51 % (23191)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (23191)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (23191)Terminated due to inappropriate strategy.
% 0.19/0.51 % (23191)------------------------------
% 0.19/0.51 % (23191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (23191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23191)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (23191)Memory used [KB]: 895
% 0.19/0.51 % (23191)Time elapsed: 0.004 s
% 0.19/0.51 % (23191)Instructions burned: 2 (million)
% 0.19/0.51 % (23191)------------------------------
% 0.19/0.51 % (23191)------------------------------
% 0.19/0.51 % (23202)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (23202)Terminated due to inappropriate strategy.
% 0.19/0.51 % (23202)------------------------------
% 0.19/0.51 % (23202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (23202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23202)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (23202)Memory used [KB]: 895
% 0.19/0.51 % (23202)Time elapsed: 0.003 s
% 0.19/0.51 % (23202)Instructions burned: 1 (million)
% 0.19/0.51 % (23202)------------------------------
% 0.19/0.51 % (23202)------------------------------
% 0.19/0.52 % (23203)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.52 % (23185)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 (3000ds/191324Mi)
% 0.19/0.52 % (23185)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.52 % (23185)Terminated due to inappropriate strategy.
% 0.19/0.52 % (23185)------------------------------
% 0.19/0.52 % (23185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23185)Termination reason: Inappropriate
% 0.19/0.52
% 0.19/0.52 % (23185)Memory used [KB]: 895
% 0.19/0.52 % (23185)Time elapsed: 0.001 s
% 0.19/0.52 % (23185)------------------------------
% 0.19/0.52 % (23185)------------------------------
% 0.19/0.52 % (23187)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 (3000ds/37Mi)
% 0.19/0.52 % (23208)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 (3000ds/467Mi)
% 0.19/0.52 % (23203)First to succeed.
% 0.19/0.52 % (23190)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 (3000ds/48Mi)
% 0.19/0.52 % (23193)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.52 % (23189)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (23193)Instruction limit reached!
% 0.19/0.52 % (23193)------------------------------
% 0.19/0.52 % (23193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23193)Termination reason: Unknown
% 0.19/0.52 % (23193)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (23193)Memory used [KB]: 5373
% 0.19/0.52 % (23193)Time elapsed: 0.131 s
% 0.19/0.52 % (23193)Instructions burned: 3 (million)
% 0.19/0.52 % (23193)------------------------------
% 0.19/0.52 % (23193)------------------------------
% 0.19/0.52 % (23188)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (23196)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.53 % (23195)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.53 % (23212)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 (3000ds/177Mi)
% 0.19/0.53 % (23214)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 (3000ds/355Mi)
% 0.19/0.53 % (23211)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 (3000ds/68Mi)
% 0.19/0.53 % (23213)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.53 % (23204)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 (3000ds/100Mi)
% 0.19/0.53 % (23206)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.53 % (23209)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.53 % (23201)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 (3000ds/99Mi)
% 0.19/0.54 % (23192)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.54 % (23194)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 (3000ds/51Mi)
% 0.19/0.54 % (23205)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 (3000ds/176Mi)
% 0.19/0.54 % (23203)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (23203)------------------------------
% 0.19/0.54 % (23203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23203)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (23203)Memory used [KB]: 5500
% 0.19/0.54 % (23203)Time elapsed: 0.127 s
% 0.19/0.54 % (23203)Instructions burned: 10 (million)
% 0.19/0.54 % (23203)------------------------------
% 0.19/0.54 % (23203)------------------------------
% 0.19/0.54 % (23184)Success in time 0.19 s
%------------------------------------------------------------------------------