TSTP Solution File: ARI342_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI342_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n013.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 15:47:58 EDT 2022
% Result : Theorem 1.50s 0.54s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 11 unt; 1 typ; 0 def)
% Number of atoms : 17 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 50 ( 12 atm; 12 fun; 10 num; 16 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 14 !; 2 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sF0: $rat > $rat ).
tff(f281,plain,
$false,
inference(evaluation,[],[f274]) ).
tff(f274,plain,
~ $less(-13/2,0/1),
inference(resolution,[],[f269,f17]) ).
tff(f17,plain,
! [X0: $rat] : ~ $less(sF0(X0),-13/2),
inference(definition_folding,[],[f15,f16]) ).
tff(f16,plain,
! [X0: $rat] : ( $sum(X0,X0) = sF0(X0) ),
introduced(function_definition,[]) ).
tff(f15,plain,
! [X0: $rat] : ~ $less($sum(X0,X0),-13/2),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: $rat] : ~ $less($sum(X0,X0),-13/2),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $less($sum(X0,X0),-13/2),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $rat] : $less($sum(X0,X0),-13/2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_8) ).
tff(f269,plain,
! [X12: $rat] :
( $less(sF0(X12),X12)
| ~ $less(X12,0/1) ),
inference(superposition,[],[f134,f25]) ).
tff(f25,plain,
! [X5: $rat] : ( $sum(0/1,X5) = X5 ),
inference(superposition,[],[f3,f5]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f134,plain,
! [X0: $rat,X1: $rat] :
( $less(sF0(X0),$sum(X1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f11,f16]) ).
tff(f11,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI342=1 : TPTP v8.1.0. Released v5.0.0.
% 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
% 0.14/0.33 % Computer : n013.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 29 15:31:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.49 % (24260)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)
% 0.19/0.49 % (24258)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.50 % (24268)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.50 % (24266)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)
% 0.19/0.50 % (24268)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.50 % (24268)Terminated due to inappropriate strategy.
% 0.19/0.50 % (24268)------------------------------
% 0.19/0.50 % (24268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (24268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (24268)Termination reason: Inappropriate
% 0.19/0.50
% 0.19/0.50 % (24268)Memory used [KB]: 895
% 0.19/0.50 % (24268)Time elapsed: 0.003 s
% 0.19/0.50 % (24268)Instructions burned: 1 (million)
% 0.19/0.50 % (24268)------------------------------
% 0.19/0.50 % (24268)------------------------------
% 0.19/0.51 % (24273)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)
% 0.19/0.51 % (24276)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.37/0.51 % (24279)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.37/0.52 % (24258)Instruction limit reached!
% 1.37/0.52 % (24258)------------------------------
% 1.37/0.52 % (24258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.52 % (24258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.52 % (24258)Termination reason: Unknown
% 1.37/0.52 % (24258)Termination phase: Saturation
% 1.37/0.52
% 1.37/0.52 % (24258)Memory used [KB]: 5500
% 1.37/0.52 % (24258)Time elapsed: 0.115 s
% 1.37/0.52 % (24258)Instructions burned: 7 (million)
% 1.37/0.52 % (24258)------------------------------
% 1.37/0.52 % (24258)------------------------------
% 1.37/0.52 % (24252)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)
% 1.37/0.52 % (24265)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)
% 1.37/0.52 % (24255)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.37/0.52 % (24274)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)
% 1.37/0.52 % (24278)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)
% 1.37/0.52 % (24253)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)
% 1.37/0.52 % (24256)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)
% 1.37/0.52 % (24254)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)
% 1.37/0.52 % (24276)First to succeed.
% 1.37/0.52 % (24251)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)
% 1.37/0.52 % (24251)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.37/0.52 % (24251)Terminated due to inappropriate strategy.
% 1.37/0.52 % (24251)------------------------------
% 1.37/0.52 % (24251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.52 % (24251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.52 % (24251)Termination reason: Inappropriate
% 1.37/0.52
% 1.37/0.52 % (24251)Memory used [KB]: 895
% 1.37/0.52 % (24251)Time elapsed: 0.001 s
% 1.37/0.52 % (24251)------------------------------
% 1.37/0.52 % (24251)------------------------------
% 1.37/0.52 % (24271)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)
% 1.37/0.53 % (24259)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.37/0.53 % (24259)Instruction limit reached!
% 1.37/0.53 % (24259)------------------------------
% 1.37/0.53 % (24259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53 % (24259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53 % (24259)Termination reason: Unknown
% 1.37/0.53 % (24259)Termination phase: Preprocessing 3
% 1.37/0.53
% 1.37/0.53 % (24259)Memory used [KB]: 895
% 1.37/0.53 % (24259)Time elapsed: 0.002 s
% 1.37/0.53 % (24259)Instructions burned: 2 (million)
% 1.37/0.53 % (24259)------------------------------
% 1.37/0.53 % (24259)------------------------------
% 1.37/0.53 % (24269)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.50/0.53 % (24272)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.50/0.53 % (24263)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.50/0.53 % (24257)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)
% 1.50/0.53 % (24267)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)
% 1.50/0.53 % (24270)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)
% 1.50/0.53 % (24261)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.50/0.53 % (24264)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.50/0.54 % (24262)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)
% 1.50/0.54 % (24277)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)
% 1.50/0.54 % (24276)Refutation found. Thanks to Tanya!
% 1.50/0.54 % SZS status Theorem for theBenchmark
% 1.50/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.54 % (24276)------------------------------
% 1.50/0.54 % (24276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54 % (24276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54 % (24276)Termination reason: Refutation
% 1.50/0.54
% 1.50/0.54 % (24276)Memory used [KB]: 5500
% 1.50/0.54 % (24276)Time elapsed: 0.123 s
% 1.50/0.54 % (24276)Instructions burned: 12 (million)
% 1.50/0.54 % (24276)------------------------------
% 1.50/0.54 % (24276)------------------------------
% 1.50/0.54 % (24250)Success in time 0.194 s
%------------------------------------------------------------------------------