TSTP Solution File: ARI610_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI610_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 : n007.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 1.54s 0.57s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 7 unt; 3 typ; 0 def)
% Number of atoms : 44 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 16 ~; 10 |; 9 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 102 ( 42 atm; 24 fun; 13 num; 23 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
b: $int ).
tff(f169,plain,
$false,
inference(subsumption_resolution,[],[f168,f22]) ).
tff(f22,plain,
$less(b,a),
inference(resolution,[],[f19,f20]) ).
tff(f20,plain,
$less(f(b),f(a)),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( $less(f($sum(a,$uminus(b))),f(0))
& $less(f(b),f(a))
& ! [X0: $int,X1: $int] :
( ~ $less(f(X0),f(X1))
| $less(X0,X1) ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
( $less(f($sum(a,$uminus(b))),f(0))
& $less(f(b),f(a))
& ! [X1: $int,X0: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( $less(f($sum(a,$uminus(b))),f(0))
& $less(f(b),f(a))
& ! [X1: $int,X0: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ( $less(f(b),f(a))
& ! [X1: $int,X0: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) ) )
=> ~ $less(f($sum(a,$uminus(b))),f(0)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( $less(f(b),f(a))
& ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) ) )
=> $lesseq(f(0),f($sum(a,$uminus(b)))) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( $less(f(b),f(a))
& ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) ) )
=> $lesseq(f(0),f($sum(a,$uminus(b)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_mon_implies_f_a_b_2) ).
tff(f19,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X0),f(X1))
| $less(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f168,plain,
~ $less(b,a),
inference(evaluation,[],[f160]) ).
tff(f160,plain,
( $less(0,0)
| ~ $less(b,a) ),
inference(superposition,[],[f148,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f148,plain,
! [X2: $int] :
( $less($sum(X2,$uminus(b)),0)
| ~ $less(X2,a) ),
inference(resolution,[],[f73,f12]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f73,plain,
! [X10: $int] :
( ~ $less(X10,$sum(a,$uminus(b)))
| $less(X10,0) ),
inference(resolution,[],[f10,f23]) ).
tff(f23,plain,
$less($sum(a,$uminus(b)),0),
inference(resolution,[],[f21,f19]) ).
tff(f21,plain,
$less(f($sum(a,$uminus(b))),f(0)),
inference(cnf_transformation,[],[f18]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI610=1 : TPTP v8.1.0. Released v5.1.0.
% 0.03/0.13 % 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 : n007.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 15:36:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (9547)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.50 % (9563)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.50 % (9557)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 % (9549)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)
% 0.19/0.50 % (9555)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)
% 0.19/0.51 % (9546)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)
% 0.19/0.51 % (9541)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 % (9541)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (9541)Terminated due to inappropriate strategy.
% 0.19/0.51 % (9541)------------------------------
% 0.19/0.51 % (9541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9541)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (9541)Memory used [KB]: 895
% 0.19/0.51 % (9541)Time elapsed: 0.002 s
% 0.19/0.51 % (9541)------------------------------
% 0.19/0.51 % (9541)------------------------------
% 0.19/0.52 % (9538)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 % (9535)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 % (9535)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.52 % (9535)Terminated due to inappropriate strategy.
% 0.19/0.52 % (9535)------------------------------
% 0.19/0.52 % (9535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9535)Termination reason: Inappropriate
% 0.19/0.52
% 0.19/0.52 % (9535)Memory used [KB]: 895
% 0.19/0.52 % (9535)Time elapsed: 0.001 s
% 0.19/0.52 % (9535)------------------------------
% 0.19/0.52 % (9535)------------------------------
% 0.19/0.52 % (9536)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)
% 0.19/0.53 % (9537)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)
% 0.19/0.53 % (9540)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)
% 0.19/0.53 % (9539)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.53 % (9560)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.53 % (9548)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.53 % (9544)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)
% 0.19/0.53 % (9562)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 % (9550)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 (3000ds/75Mi)
% 0.19/0.53 % (9545)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.54 % (9552)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.54 % (9552)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.54 % (9552)Terminated due to inappropriate strategy.
% 0.19/0.54 % (9552)------------------------------
% 0.19/0.54 % (9552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9552)Termination reason: Inappropriate
% 0.19/0.54
% 0.19/0.54 % (9552)Memory used [KB]: 895
% 0.19/0.54 % (9552)Time elapsed: 0.001 s
% 0.19/0.54 % (9552)------------------------------
% 0.19/0.54 % (9552)------------------------------
% 0.19/0.54 % (9542)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 % (9564)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)
% 0.19/0.54 % (9559)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.54 % (9561)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)
% 0.19/0.54 % (9554)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)
% 0.19/0.55 % (9554)First to succeed.
% 0.19/0.55 % (9553)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.55 % (9558)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)
% 0.19/0.55 % (9556)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.55 % (9551)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)
% 0.19/0.55 % (9543)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.55 % (9543)Instruction limit reached!
% 0.19/0.55 % (9543)------------------------------
% 0.19/0.55 % (9543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (9543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (9543)Termination reason: Unknown
% 0.19/0.55 % (9543)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (9543)Memory used [KB]: 5373
% 0.19/0.55 % (9543)Time elapsed: 0.161 s
% 0.19/0.55 % (9543)Instructions burned: 2 (million)
% 0.19/0.55 % (9543)------------------------------
% 0.19/0.55 % (9543)------------------------------
% 0.19/0.56 % (9542)Instruction limit reached!
% 0.19/0.56 % (9542)------------------------------
% 0.19/0.56 % (9542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (9542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (9542)Termination reason: Unknown
% 0.19/0.56 % (9542)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (9542)Memory used [KB]: 5500
% 0.19/0.56 % (9542)Time elapsed: 0.155 s
% 0.19/0.56 % (9542)Instructions burned: 8 (million)
% 0.19/0.56 % (9542)------------------------------
% 0.19/0.56 % (9542)------------------------------
% 1.54/0.57 % (9554)Refutation found. Thanks to Tanya!
% 1.54/0.57 % SZS status Theorem for theBenchmark
% 1.54/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.57 % (9554)------------------------------
% 1.54/0.57 % (9554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (9554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (9554)Termination reason: Refutation
% 1.54/0.57
% 1.54/0.57 % (9554)Memory used [KB]: 1023
% 1.54/0.57 % (9554)Time elapsed: 0.156 s
% 1.54/0.57 % (9554)Instructions burned: 8 (million)
% 1.54/0.57 % (9554)------------------------------
% 1.54/0.57 % (9554)------------------------------
% 1.54/0.57 % (9533)Success in time 0.216 s
%------------------------------------------------------------------------------