TSTP Solution File: SEU096+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU096+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n014.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 18:31:55 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 13 unt; 3 typ; 0 def)
% Number of atoms : 115 ( 9 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 125 ( 47 ~; 36 |; 30 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 30 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_21,type,
sQ29_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_22,type,
sQ30_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_23,type,
sQ31_eqProxy: ( $real * $real ) > $o ).
fof(f602,plain,
$false,
inference(subsumption_resolution,[],[f601,f393]) ).
fof(f393,plain,
finite(relation_inverse_image(sK22,sK23)),
inference(literal_reordering,[],[f296]) ).
fof(f296,plain,
finite(relation_inverse_image(sK22,sK23)),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ~ finite(sK23)
& function(sK22)
& subset(sK23,relation_rng(sK22))
& relation(sK22)
& finite(relation_inverse_image(sK22,sK23)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f104,f176]) ).
fof(f176,plain,
( ? [X0,X1] :
( ~ finite(X1)
& function(X0)
& subset(X1,relation_rng(X0))
& relation(X0)
& finite(relation_inverse_image(X0,X1)) )
=> ( ~ finite(sK23)
& function(sK22)
& subset(sK23,relation_rng(sK22))
& relation(sK22)
& finite(relation_inverse_image(sK22,sK23)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0,X1] :
( ~ finite(X1)
& function(X0)
& subset(X1,relation_rng(X0))
& relation(X0)
& finite(relation_inverse_image(X0,X1)) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
? [X1,X0] :
( ~ finite(X1)
& subset(X1,relation_rng(X0))
& finite(relation_inverse_image(X0,X1))
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
~ ! [X1,X0] :
( ( function(X0)
& relation(X0) )
=> ( ( subset(X1,relation_rng(X0))
& finite(relation_inverse_image(X0,X1)) )
=> finite(X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( ( subset(X0,relation_rng(X1))
& finite(relation_inverse_image(X1,X0)) )
=> finite(X0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( ( subset(X0,relation_rng(X1))
& finite(relation_inverse_image(X1,X0)) )
=> finite(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_finset_1) ).
fof(f601,plain,
~ finite(relation_inverse_image(sK22,sK23)),
inference(subsumption_resolution,[],[f600,f389]) ).
fof(f389,plain,
relation(sK22),
inference(literal_reordering,[],[f297]) ).
fof(f297,plain,
relation(sK22),
inference(cnf_transformation,[],[f177]) ).
fof(f600,plain,
( ~ relation(sK22)
| ~ finite(relation_inverse_image(sK22,sK23)) ),
inference(subsumption_resolution,[],[f599,f335]) ).
fof(f335,plain,
~ finite(sK23),
inference(literal_reordering,[],[f300]) ).
fof(f300,plain,
~ finite(sK23),
inference(cnf_transformation,[],[f177]) ).
fof(f599,plain,
( finite(sK23)
| ~ finite(relation_inverse_image(sK22,sK23))
| ~ relation(sK22) ),
inference(subsumption_resolution,[],[f598,f337]) ).
fof(f337,plain,
function(sK22),
inference(literal_reordering,[],[f299]) ).
fof(f299,plain,
function(sK22),
inference(cnf_transformation,[],[f177]) ).
fof(f598,plain,
( ~ function(sK22)
| ~ finite(relation_inverse_image(sK22,sK23))
| ~ relation(sK22)
| finite(sK23) ),
inference(superposition,[],[f321,f594]) ).
fof(f594,plain,
sK23 = relation_image(sK22,relation_inverse_image(sK22,sK23)),
inference(subsumption_resolution,[],[f593,f389]) ).
fof(f593,plain,
( sK23 = relation_image(sK22,relation_inverse_image(sK22,sK23))
| ~ relation(sK22) ),
inference(subsumption_resolution,[],[f589,f337]) ).
fof(f589,plain,
( ~ function(sK22)
| sK23 = relation_image(sK22,relation_inverse_image(sK22,sK23))
| ~ relation(sK22) ),
inference(resolution,[],[f372,f394]) ).
fof(f394,plain,
subset(sK23,relation_rng(sK22)),
inference(literal_reordering,[],[f298]) ).
fof(f298,plain,
subset(sK23,relation_rng(sK22)),
inference(cnf_transformation,[],[f177]) ).
fof(f372,plain,
! [X0,X1] :
( ~ subset(X1,relation_rng(X0))
| ~ relation(X0)
| relation_image(X0,relation_inverse_image(X0,X1)) = X1
| ~ function(X0) ),
inference(literal_reordering,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( ~ relation(X0)
| relation_image(X0,relation_inverse_image(X0,X1)) = X1
| ~ function(X0)
| ~ subset(X1,relation_rng(X0)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ~ subset(X1,relation_rng(X0))
| relation_image(X0,relation_inverse_image(X0,X1)) = X1 ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( relation_image(X0,relation_inverse_image(X0,X1)) = X1
| ~ subset(X1,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( subset(X1,relation_rng(X0))
=> relation_image(X0,relation_inverse_image(X0,X1)) = X1 ) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( subset(X0,relation_rng(X1))
=> relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t147_funct_1) ).
fof(f321,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(literal_reordering,[],[f306]) ).
fof(f306,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ function(X1)
| ~ finite(X0)
| finite(relation_image(X1,X0)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ~ function(X1)
| finite(relation_image(X1,X0))
| ~ relation(X1)
| ~ finite(X0) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X1,X0] :
( ~ function(X0)
| finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ finite(X1) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ function(X0)
| ~ finite(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( function(X0)
& finite(X1)
& relation(X0) )
=> finite(relation_image(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU096+1 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:39:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (3118)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 (2999ds/68Mi)
% 0.20/0.51 % (3094)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 (2999ds/37Mi)
% 0.20/0.51 % (3103)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (3092)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 (2999ds/191324Mi)
% 0.20/0.52 % (3114)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 (2999ds/498Mi)
% 0.20/0.52 % (3106)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 (2999ds/68Mi)
% 0.20/0.52 % (3105)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (3101)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 (2999ds/51Mi)
% 0.20/0.52 % (3093)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (3116)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (3098)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (3118)First to succeed.
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (3107)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 (2999ds/75Mi)
% 0.20/0.53 % (3110)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (3099)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (3096)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (3093)Refutation not found, incomplete strategy% (3093)------------------------------
% 0.20/0.53 % (3093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (3093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (3093)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (3093)Memory used [KB]: 5628
% 0.20/0.53 % (3093)Time elapsed: 0.124 s
% 0.20/0.53 % (3093)Instructions burned: 5 (million)
% 0.20/0.53 % (3093)------------------------------
% 0.20/0.53 % (3093)------------------------------
% 0.20/0.53 % (3115)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 (2999ds/467Mi)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (3104)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (3108)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 (2999ds/99Mi)
% 0.20/0.53 % (3102)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (3097)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 (2999ds/48Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.54 TRYING [4]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (3099)Instruction limit reached!
% 0.20/0.54 % (3099)------------------------------
% 0.20/0.54 % (3099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (3099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (3099)Termination reason: Unknown
% 0.20/0.54 % (3099)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (3121)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 (2999ds/355Mi)
% 0.20/0.54 % (3099)Memory used [KB]: 5628
% 0.20/0.54 % (3099)Time elapsed: 0.141 s
% 0.20/0.54 % (3099)Instructions burned: 7 (million)
% 0.20/0.54 % (3099)------------------------------
% 0.20/0.54 % (3099)------------------------------
% 0.20/0.54 % (3119)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 (2999ds/177Mi)
% 0.20/0.54 % (3113)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (3109)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (3095)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (3120)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 TRYING [5]
% 0.20/0.54 % (3100)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (3118)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (3118)------------------------------
% 0.20/0.55 % (3118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (3118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (3118)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (3118)Memory used [KB]: 6012
% 0.20/0.55 % (3118)Time elapsed: 0.013 s
% 0.20/0.55 % (3118)Instructions burned: 11 (million)
% 0.20/0.55 % (3118)------------------------------
% 0.20/0.55 % (3118)------------------------------
% 0.20/0.55 % (3091)Success in time 0.196 s
%------------------------------------------------------------------------------