TSTP Solution File: ARI581_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI581_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_uns --cores 0 -t %d %s
% Computer : n015.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 15:46:30 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 28 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 31 ( 15 ~; 7 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 84 ( 26 atm; 14 fun; 28 num; 16 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 12 !; 4 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f126,plain,
$false,
inference(evaluation,[],[f125]) ).
tff(f125,plain,
~ $less($sum(7,$uminus(5)),3),
inference(gaussian_variable_elimination,[],[f108]) ).
tff(f108,plain,
! [X2: $int] :
( ~ $less(X2,3)
| ( 7 != $sum(5,X2) ) ),
inference(constrained_resolution,[],[f22,f18]) ).
tff(f18,plain,
! [X1: $int] :
( ~ $less(7,$sum(sK0,X1))
| ~ $less(X1,3) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( $less(5,sK0)
& ! [X1: $int] :
( ~ $less(7,$sum(sK0,X1))
| ~ $less(X1,3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
( $less(5,X0)
& ! [X1: $int] :
( ~ $less(7,$sum(X0,X1))
| ~ $less(X1,3) ) )
=> ( $less(5,sK0)
& ! [X1: $int] :
( ~ $less(7,$sum(sK0,X1))
| ~ $less(X1,3) ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
( $less(5,X0)
& ! [X1: $int] :
( ~ $less(7,$sum(X0,X1))
| ~ $less(X1,3) ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( $less(5,X0)
=> ? [X1: $int] :
( $less(7,$sum(X0,X1))
& $less(X1,3) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( $less(5,X0)
=> ? [X1: $int] :
( $less(7,$sum(X0,X1))
& $less(X1,3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_2) ).
tff(f22,plain,
! [X2: $int] : $less($sum(5,X2),$sum(sK0,X2)),
inference(resolution,[],[f19,f11]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f19,plain,
$less(5,sK0),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI581=1 : TPTP v8.1.0. Released v5.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 16:00:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (11188)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.19/0.49 % (11188)Refutation not found, incomplete strategy% (11188)------------------------------
% 0.19/0.49 % (11188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (11188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (11188)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (11188)Memory used [KB]: 5373
% 0.19/0.49 % (11188)Time elapsed: 0.090 s
% 0.19/0.49 % (11188)Instructions burned: 1 (million)
% 0.19/0.49 % (11188)------------------------------
% 0.19/0.49 % (11188)------------------------------
% 0.19/0.49 % (11196)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/41Mi)
% 0.19/0.50 % (11172)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.19/0.51 % (11179)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.51 % (11179)Instruction limit reached!
% 0.19/0.51 % (11179)------------------------------
% 0.19/0.51 % (11179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11179)Termination reason: Unknown
% 0.19/0.51 % (11179)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (11179)Memory used [KB]: 5373
% 0.19/0.51 % (11179)Time elapsed: 0.003 s
% 0.19/0.51 % (11179)Instructions burned: 2 (million)
% 0.19/0.51 % (11179)------------------------------
% 0.19/0.51 % (11179)------------------------------
% 0.19/0.51 % (11186)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.51 % (11186)Instruction limit reached!
% 0.19/0.51 % (11186)------------------------------
% 0.19/0.51 % (11186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11186)Termination reason: Unknown
% 0.19/0.51 % (11186)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (11186)Memory used [KB]: 5373
% 0.19/0.51 % (11186)Time elapsed: 0.112 s
% 0.19/0.51 % (11186)Instructions burned: 2 (million)
% 0.19/0.51 % (11186)------------------------------
% 0.19/0.51 % (11186)------------------------------
% 0.19/0.51 % (11169)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.19/0.51 % (11194)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.19/0.51 % (11194)Refutation not found, incomplete strategy% (11194)------------------------------
% 0.19/0.51 % (11194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11194)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (11194)Memory used [KB]: 5373
% 0.19/0.51 % (11194)Time elapsed: 0.112 s
% 0.19/0.51 % (11194)Instructions burned: 1 (million)
% 0.19/0.51 % (11194)------------------------------
% 0.19/0.51 % (11194)------------------------------
% 0.19/0.51 % (11196)Instruction limit reached!
% 0.19/0.51 % (11196)------------------------------
% 0.19/0.51 % (11196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11196)Termination reason: Unknown
% 0.19/0.51 % (11196)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (11196)Memory used [KB]: 6012
% 0.19/0.51 % (11196)Time elapsed: 0.113 s
% 0.19/0.51 % (11196)Instructions burned: 41 (million)
% 0.19/0.51 % (11196)------------------------------
% 0.19/0.51 % (11196)------------------------------
% 0.19/0.52 % (11187)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.19/0.52 % (11193)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.19/0.52 % (11184)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/49Mi)
% 0.19/0.52 % (11195)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.19/0.53 % (11173)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.19/0.53 % (11192)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/42Mi)
% 0.19/0.53 % (11170)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.53 % (11170)Instruction limit reached!
% 0.19/0.53 % (11170)------------------------------
% 0.19/0.53 % (11170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11170)Termination reason: Unknown
% 0.19/0.53 % (11170)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (11170)Memory used [KB]: 5373
% 0.19/0.53 % (11170)Time elapsed: 0.002 s
% 0.19/0.53 % (11170)Instructions burned: 2 (million)
% 0.19/0.53 % (11170)------------------------------
% 0.19/0.53 % (11170)------------------------------
% 0.19/0.53 % (11171)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.53 % (11189)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.19/0.53 % (11176)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.53 % (11176)Instruction limit reached!
% 0.19/0.53 % (11176)------------------------------
% 0.19/0.53 % (11176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11176)Termination reason: Unknown
% 0.19/0.53 % (11176)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (11176)Memory used [KB]: 5373
% 0.19/0.53 % (11176)Time elapsed: 0.141 s
% 0.19/0.53 % (11176)Instructions burned: 2 (million)
% 0.19/0.53 % (11176)------------------------------
% 0.19/0.53 % (11176)------------------------------
% 0.19/0.53 % (11185)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.19/0.53 % (11185)Refutation not found, incomplete strategy% (11185)------------------------------
% 0.19/0.53 % (11185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11185)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (11185)Memory used [KB]: 5373
% 0.19/0.53 % (11185)Time elapsed: 0.141 s
% 0.19/0.53 % (11185)Instructions burned: 1 (million)
% 0.19/0.53 % (11185)------------------------------
% 0.19/0.53 % (11185)------------------------------
% 0.19/0.53 % (11174)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.19/0.53 % (11181)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.53 % (11167)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.19/0.54 % (11178)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.19/0.54 % (11169)Instruction limit reached!
% 0.19/0.54 % (11169)------------------------------
% 0.19/0.54 % (11169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11169)Termination reason: Unknown
% 0.19/0.54 % (11169)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (11169)Memory used [KB]: 5500
% 0.19/0.54 % (11169)Time elapsed: 0.146 s
% 0.19/0.54 % (11169)Instructions burned: 8 (million)
% 0.19/0.54 % (11169)------------------------------
% 0.19/0.54 % (11169)------------------------------
% 0.19/0.54 % (11181)First to succeed.
% 0.19/0.54 % (11168)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.19/0.54 % (11181)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 % (11181)------------------------------
% 0.19/0.54 % (11181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11181)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (11181)Memory used [KB]: 5500
% 0.19/0.54 % (11181)Time elapsed: 0.141 s
% 0.19/0.54 % (11181)Instructions burned: 3 (million)
% 0.19/0.54 % (11181)------------------------------
% 0.19/0.54 % (11181)------------------------------
% 0.19/0.54 % (11166)Success in time 0.187 s
%------------------------------------------------------------------------------