TSTP Solution File: NUM891_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM891_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 : n008.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 18:07:07 EDT 2022
% Result : Theorem 1.52s 0.55s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 111 ( 39 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 113 ( 48 ~; 53 |; 4 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 107 ( 23 atm; 28 fun; 35 num; 21 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 18 !; 3 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f232,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f30,f208,f219,f223,f226,f231]) ).
tff(f231,plain,
( spl1_2
| spl1_3
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f228]) ).
tff(f228,plain,
( $false
| spl1_2
| spl1_3
| spl1_4 ),
inference(unit_resulting_resolution,[],[f27,f202,f207,f10]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f207,plain,
( ~ $less(sK0,0)
| spl1_4 ),
inference(avatar_component_clause,[],[f205]) ).
tff(f205,plain,
( spl1_4
<=> $less(sK0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f202,plain,
( ~ $less(0,sK0)
| spl1_3 ),
inference(avatar_component_clause,[],[f201]) ).
tff(f201,plain,
( spl1_3
<=> $less(0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f27,plain,
( ( 0 != sK0 )
| spl1_2 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f26,plain,
( spl1_2
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f226,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_contradiction_clause,[],[f225]) ).
tff(f225,plain,
( $false
| spl1_1
| ~ spl1_2 ),
inference(evaluation,[],[f224]) ).
tff(f224,plain,
( ( 0 != $uminus(0) )
| spl1_1
| ~ spl1_2 ),
inference(backward_demodulation,[],[f23,f28]) ).
tff(f28,plain,
( ( 0 = sK0 )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f23,plain,
( ( $uminus(sK0) != sK0 )
| spl1_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f22,plain,
( spl1_1
<=> ( $uminus(sK0) = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f223,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f221]) ).
tff(f221,plain,
( $false
| ~ spl1_3
| ~ spl1_4 ),
inference(unit_resulting_resolution,[],[f8,f203,f206,f9]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f206,plain,
( $less(sK0,0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f205]) ).
tff(f203,plain,
( $less(0,sK0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f201]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f219,plain,
( spl1_4
| ~ spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f218,f201,f22,f205]) ).
tff(f218,plain,
( $less(sK0,0)
| ~ spl1_1
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f213,f203]) ).
tff(f213,plain,
( $less(sK0,0)
| ~ $less(0,sK0)
| ~ spl1_1 ),
inference(superposition,[],[f169,f37]) ).
tff(f37,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f5,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f169,plain,
( ! [X17: $int] :
( $less($sum(X17,sK0),0)
| ~ $less(X17,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f32]) ).
tff(f32,plain,
( ( 0 = $sum(sK0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f7,f24]) ).
tff(f24,plain,
( ( $uminus(sK0) = sK0 )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f208,plain,
( spl1_3
| ~ spl1_4
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f196,f22,f205,f201]) ).
tff(f196,plain,
( ~ $less(sK0,0)
| $less(0,sK0)
| ~ spl1_1 ),
inference(superposition,[],[f161,f37]) ).
tff(f161,plain,
( ! [X17: $int] :
( $less(0,$sum(X17,sK0))
| ~ $less(sK0,X17) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f32]) ).
tff(f30,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f20,f26,f22]) ).
tff(f20,plain,
( ( 0 != sK0 )
| ( $uminus(sK0) != sK0 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( ( $uminus(sK0) != sK0 )
| ( 0 != sK0 ) )
& ( ( $uminus(sK0) = sK0 )
| ( 0 = sK0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
( ( ( $uminus(X0) != X0 )
| ( 0 != X0 ) )
& ( ( $uminus(X0) = X0 )
| ( 0 = X0 ) ) )
=> ( ( ( $uminus(sK0) != sK0 )
| ( 0 != sK0 ) )
& ( ( $uminus(sK0) = sK0 )
| ( 0 = sK0 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
( ( ( $uminus(X0) != X0 )
| ( 0 != X0 ) )
& ( ( $uminus(X0) = X0 )
| ( 0 = X0 ) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
( ( 0 = X0 )
<~> ( $uminus(X0) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( 0 = X0 )
<=> ( $uminus(X0) = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( 0 = X0 )
<=> ( $uminus(X0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uminus_equal) ).
tff(f29,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f19,f26,f22]) ).
tff(f19,plain,
( ( 0 = sK0 )
| ( $uminus(sK0) = sK0 ) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM891=1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.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 : Tue Aug 30 09:15:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (19231)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.46 % (19231)Instruction limit reached!
% 0.18/0.46 % (19231)------------------------------
% 0.18/0.46 % (19231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (19247)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)
% 0.18/0.46 % (19239)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)
% 0.18/0.46 % (19231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46 % (19231)Termination reason: Unknown
% 0.18/0.46 % (19231)Termination phase: Saturation
% 0.18/0.46
% 0.18/0.46 % (19231)Memory used [KB]: 5500
% 0.18/0.46 % (19231)Time elapsed: 0.090 s
% 0.18/0.46 % (19231)Instructions burned: 7 (million)
% 0.18/0.46 % (19231)------------------------------
% 0.18/0.46 % (19231)------------------------------
% 0.18/0.47 % (19248)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.18/0.47 % (19229)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)
% 0.18/0.49 % (19245)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.18/0.49 % (19237)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.18/0.49 % (19232)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.49 % (19224)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)
% 0.18/0.50 % (19232)Instruction limit reached!
% 0.18/0.50 % (19232)------------------------------
% 0.18/0.50 % (19232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (19232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (19232)Termination reason: Unknown
% 0.18/0.50 % (19232)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (19232)Memory used [KB]: 5373
% 0.18/0.50 % (19232)Time elapsed: 0.003 s
% 0.18/0.50 % (19232)Instructions burned: 2 (million)
% 0.18/0.50 % (19232)------------------------------
% 0.18/0.50 % (19232)------------------------------
% 0.18/0.50 % (19224)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.50 % (19224)Terminated due to inappropriate strategy.
% 0.18/0.50 % (19224)------------------------------
% 0.18/0.50 % (19224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (19224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (19224)Termination reason: Inappropriate
% 0.18/0.50
% 0.18/0.50 % (19224)Memory used [KB]: 895
% 0.18/0.50 % (19224)Time elapsed: 0.003 s
% 0.18/0.50 % (19224)Instructions burned: 1 (million)
% 0.18/0.50 % (19224)------------------------------
% 0.18/0.50 % (19224)------------------------------
% 0.18/0.51 % (19249)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.18/0.51 % (19246)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)
% 0.18/0.52 % (19226)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)
% 0.18/0.52 % (19234)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.52 % (19252)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.18/0.52 % (19227)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)
% 0.18/0.52 % (19228)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.52 % (19225)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)
% 0.18/0.52 % (19240)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)
% 0.18/0.52 % (19235)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)
% 0.18/0.52 % (19233)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)
% 0.18/0.52 % (19244)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)
% 1.45/0.52 % (19230)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)
% 1.45/0.53 % (19253)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)
% 1.45/0.53 % (19251)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)
% 1.45/0.53 % (19236)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.45/0.53 % (19238)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)
% 1.45/0.53 % (19250)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)
% 1.45/0.53 % (19241)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.45/0.54 % (19243)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)
% 1.45/0.54 % (19242)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.52/0.55 % (19230)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.52/0.55 % (19230)Terminated due to inappropriate strategy.
% 1.52/0.55 % (19230)------------------------------
% 1.52/0.55 % (19230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (19230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (19230)Termination reason: Inappropriate
% 1.52/0.55
% 1.52/0.55 % (19230)Memory used [KB]: 895
% 1.52/0.55 % (19230)Time elapsed: 0.002 s
% 1.52/0.55 % (19230)Instructions burned: 1 (million)
% 1.52/0.55 % (19230)------------------------------
% 1.52/0.55 % (19230)------------------------------
% 1.52/0.55 % (19225)First to succeed.
% 1.52/0.55 % (19229)Instruction limit reached!
% 1.52/0.55 % (19229)------------------------------
% 1.52/0.55 % (19229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (19229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (19229)Termination reason: Unknown
% 1.52/0.55 % (19229)Termination phase: Saturation
% 1.52/0.55
% 1.52/0.55 % (19229)Memory used [KB]: 5884
% 1.52/0.55 % (19229)Time elapsed: 0.158 s
% 1.52/0.55 % (19229)Instructions burned: 48 (million)
% 1.52/0.55 % (19229)------------------------------
% 1.52/0.55 % (19229)------------------------------
% 1.52/0.55 % (19241)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.52/0.55 % (19241)Terminated due to inappropriate strategy.
% 1.52/0.55 % (19241)------------------------------
% 1.52/0.55 % (19241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (19241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (19241)Termination reason: Inappropriate
% 1.52/0.55
% 1.52/0.55 % (19241)Memory used [KB]: 895
% 1.52/0.55 % (19241)Time elapsed: 0.003 s
% 1.52/0.55 % (19241)Instructions burned: 1 (million)
% 1.52/0.55 % (19241)------------------------------
% 1.52/0.55 % (19241)------------------------------
% 1.52/0.55 % (19225)Refutation found. Thanks to Tanya!
% 1.52/0.55 % SZS status Theorem for theBenchmark
% 1.52/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.56 % (19225)------------------------------
% 1.52/0.56 % (19225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (19225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (19225)Termination reason: Refutation
% 1.52/0.56
% 1.52/0.56 % (19225)Memory used [KB]: 5628
% 1.52/0.56 % (19225)Time elapsed: 0.162 s
% 1.52/0.56 % (19225)Instructions burned: 12 (million)
% 1.52/0.56 % (19225)------------------------------
% 1.52/0.56 % (19225)------------------------------
% 1.52/0.56 % (19223)Success in time 0.207 s
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