TSTP Solution File: SYN158-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN158-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n026.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 19:25:43 EDT 2022
% Result : Unsatisfiable 0.15s 0.52s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of formulae : 67 ( 21 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 128 ( 64 ~; 58 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1000,plain,
$false,
inference(avatar_sat_refutation,[],[f481,f517,f710,f716,f875,f980,f999]) ).
fof(f999,plain,
~ spl0_33,
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f998,plain,
( $false
| ~ spl0_33 ),
inference(resolution,[],[f983,f14]) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f983,plain,
( ! [X5] : ~ p0(X5,a)
| ~ spl0_33 ),
inference(resolution,[],[f874,f374]) ).
fof(f374,plain,
~ r4(a),
inference(resolution,[],[f369,f352]) ).
fof(f352,axiom,
! [X11] :
( ~ r4(X11)
| n5(X11,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_314) ).
fof(f369,axiom,
~ n5(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f874,plain,
( ! [X3,X4] :
( r4(X4)
| ~ p0(X3,X4) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f873,plain,
( spl0_33
<=> ! [X4,X3] :
( r4(X4)
| ~ p0(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f980,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f979,plain,
( $false
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f629,f976]) ).
fof(f976,plain,
( ! [X5] : ~ q2(a,b,X5)
| ~ spl0_27 ),
inference(resolution,[],[f879,f15]) ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f879,plain,
( ! [X2,X4,X5] :
( ~ n0(X2,X4)
| ~ q2(X2,X4,X5) )
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f293,f817]) ).
fof(f817,plain,
( ! [X8,X9] : ~ q3(X8,X9)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f816,plain,
( spl0_27
<=> ! [X9,X8] : ~ q3(X8,X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f293,axiom,
! [X2,X4,X5] :
( q3(X4,X5)
| ~ q2(X2,X4,X5)
| ~ n0(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
fof(f629,plain,
q2(a,b,b),
inference(resolution,[],[f443,f32]) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f443,plain,
! [X7] :
( ~ k0(X7)
| q2(a,X7,X7) ),
inference(resolution,[],[f427,f215]) ).
fof(f215,axiom,
! [X8,X9] :
( ~ k0(X9)
| ~ p1(X8,X8,X8)
| q2(X8,X9,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_177) ).
fof(f427,plain,
p1(a,a,a),
inference(subsumption_resolution,[],[f126,f20]) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).
fof(f875,plain,
( spl0_27
| spl0_33
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f810,f705,f873,f816]) ).
fof(f705,plain,
( spl0_25
<=> ! [X10] : p2(X10,X10,X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f810,plain,
( ! [X2,X3,X4,X5] :
( r4(X4)
| ~ p0(X3,X4)
| ~ q3(X5,X2) )
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f336,f799]) ).
fof(f799,plain,
( ! [X20] : n3(X20)
| ~ spl0_25 ),
inference(resolution,[],[f706,f278]) ).
fof(f278,axiom,
! [X8,X9,X7] :
( n3(X7)
| ~ p2(X8,X9,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
fof(f706,plain,
( ! [X10] : p2(X10,X10,X10)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f336,axiom,
! [X2,X3,X4,X5] :
( ~ p0(X3,X4)
| r4(X4)
| ~ n3(X4)
| ~ q3(X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).
fof(f716,plain,
spl0_26,
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| spl0_26 ),
inference(subsumption_resolution,[],[f37,f714]) ).
fof(f714,plain,
( ! [X0] : ~ n0(X0,a)
| spl0_26 ),
inference(resolution,[],[f711,f39]) ).
fof(f39,axiom,
! [X2,X3] :
( k1(X2)
| ~ n0(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f711,plain,
( ~ k1(a)
| spl0_26 ),
inference(subsumption_resolution,[],[f591,f709]) ).
fof(f709,plain,
( ~ q1(a,a,a)
| spl0_26 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f708,plain,
( spl0_26
<=> q1(a,a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f591,plain,
( q1(a,a,a)
| ~ k1(a) ),
inference(subsumption_resolution,[],[f580,f36]) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(f580,plain,
( ~ q0(a,b)
| q1(a,a,a)
| ~ k1(a) ),
inference(resolution,[],[f465,f139]) ).
fof(f139,axiom,
! [X11] :
( ~ k1(X11)
| ~ q0(X11,b)
| ~ p1(b,b,X11)
| q1(X11,X11,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_101) ).
fof(f465,plain,
! [X1] : p1(b,X1,a),
inference(subsumption_resolution,[],[f458,f12]) ).
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f458,plain,
! [X1] :
( ~ m0(a,b,a)
| p1(b,X1,a) ),
inference(resolution,[],[f429,f120]) ).
fof(f120,axiom,
! [X2,X3,X10,X5] :
( ~ p1(X3,X5,X10)
| ~ m0(X3,X5,X10)
| p1(X5,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_082) ).
fof(f429,plain,
p1(a,b,a),
inference(subsumption_resolution,[],[f428,f427]) ).
fof(f428,plain,
( ~ p1(a,a,a)
| p1(a,b,a) ),
inference(subsumption_resolution,[],[f125,f9]) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f125,axiom,
( ~ r0(b)
| ~ p1(a,a,a)
| p1(a,b,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_087) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f710,plain,
( spl0_25
| ~ spl0_26
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f537,f476,f708,f705]) ).
fof(f476,plain,
( spl0_9
<=> p2(a,a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f537,plain,
( ! [X10] :
( ~ q1(a,a,a)
| p2(X10,X10,X10) )
| ~ spl0_9 ),
inference(resolution,[],[f477,f203]) ).
fof(f203,axiom,
! [X2,X3,X10] :
( p2(X2,X2,X2)
| ~ q1(X3,X10,X3)
| ~ p2(X3,X3,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_165) ).
fof(f477,plain,
( p2(a,a,a)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f517,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| spl0_10 ),
inference(subsumption_resolution,[],[f480,f515]) ).
fof(f515,plain,
! [X2,X1] : p1(X1,X2,a),
inference(subsumption_resolution,[],[f504,f12]) ).
fof(f504,plain,
! [X2,X1] :
( ~ m0(a,X1,a)
| p1(X1,X2,a) ),
inference(resolution,[],[f445,f120]) ).
fof(f445,plain,
! [X1] : p1(a,X1,a),
inference(subsumption_resolution,[],[f434,f12]) ).
fof(f434,plain,
! [X1] :
( p1(a,X1,a)
| ~ m0(a,a,a) ),
inference(resolution,[],[f427,f120]) ).
fof(f480,plain,
( ~ p1(e,e,a)
| spl0_10 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f479,plain,
( spl0_10
<=> p1(e,e,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f481,plain,
( spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f210,f479,f476]) ).
fof(f210,axiom,
( ~ p1(e,e,a)
| p2(a,a,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_172) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SYN158-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 21:48:21 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.45 % (18488)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.46 % (18504)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.15/0.47 % (18505)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.47 % (18497)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.48 % (18489)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.48 % (18497)Instruction limit reached!
% 0.15/0.48 % (18497)------------------------------
% 0.15/0.48 % (18497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (18497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (18497)Termination reason: Unknown
% 0.15/0.48 % (18497)Termination phase: Finite model building preprocessing
% 0.15/0.48
% 0.15/0.48 % (18497)Memory used [KB]: 1918
% 0.15/0.48 % (18497)Time elapsed: 0.012 s
% 0.15/0.48 % (18497)Instructions burned: 7 (million)
% 0.15/0.48 % (18497)------------------------------
% 0.15/0.48 % (18497)------------------------------
% 0.15/0.48 % (18504)Refutation not found, incomplete strategy% (18504)------------------------------
% 0.15/0.48 % (18504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (18496)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.15/0.49 % (18489)Refutation not found, incomplete strategy% (18489)------------------------------
% 0.15/0.49 % (18489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (18489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (18489)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.49
% 0.15/0.49 % (18489)Memory used [KB]: 6140
% 0.15/0.49 % (18489)Time elapsed: 0.006 s
% 0.15/0.49 % (18489)Instructions burned: 2 (million)
% 0.15/0.49 % (18489)------------------------------
% 0.15/0.49 % (18489)------------------------------
% 0.15/0.49 % (18504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (18504)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.49
% 0.15/0.49 % (18504)Memory used [KB]: 6268
% 0.15/0.49 % (18504)Time elapsed: 0.119 s
% 0.15/0.49 % (18504)Instructions burned: 4 (million)
% 0.15/0.49 % (18504)------------------------------
% 0.15/0.49 % (18504)------------------------------
% 0.15/0.50 % (18483)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.15/0.50 % (18484)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.50 % (18490)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.50 % (18486)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.15/0.50 % (18485)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.15/0.50 % (18484)Instruction limit reached!
% 0.15/0.50 % (18484)------------------------------
% 0.15/0.50 % (18484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (18484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (18484)Termination reason: Unknown
% 0.15/0.50 % (18484)Termination phase: General splitting
% 0.15/0.50
% 0.15/0.50 % (18484)Memory used [KB]: 1791
% 0.15/0.50 % (18484)Time elapsed: 0.005 s
% 0.15/0.50 % (18484)Instructions burned: 4 (million)
% 0.15/0.50 % (18484)------------------------------
% 0.15/0.50 % (18484)------------------------------
% 0.15/0.50 % (18490)Instruction limit reached!
% 0.15/0.50 % (18490)------------------------------
% 0.15/0.50 % (18490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (18490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (18490)Termination reason: Unknown
% 0.15/0.50 % (18490)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (18490)Memory used [KB]: 1791
% 0.15/0.50 % (18490)Time elapsed: 0.005 s
% 0.15/0.50 % (18490)Instructions burned: 4 (million)
% 0.15/0.50 % (18490)------------------------------
% 0.15/0.50 % (18490)------------------------------
% 0.15/0.50 % (18486)Refutation not found, incomplete strategy% (18486)------------------------------
% 0.15/0.50 % (18486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (18485)Refutation not found, incomplete strategy% (18485)------------------------------
% 0.15/0.50 % (18485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (18505)First to succeed.
% 0.15/0.51 % (18500)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.15/0.51 % (18487)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.51 % (18486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (18486)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.51
% 0.15/0.51 % (18486)Memory used [KB]: 6140
% 0.15/0.51 % (18486)Time elapsed: 0.134 s
% 0.15/0.51 % (18486)Instructions burned: 3 (million)
% 0.15/0.51 % (18486)------------------------------
% 0.15/0.51 % (18486)------------------------------
% 0.15/0.52 % (18505)Refutation found. Thanks to Tanya!
% 0.15/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.52 % (18505)------------------------------
% 0.15/0.52 % (18505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (18505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (18505)Termination reason: Refutation
% 0.15/0.52
% 0.15/0.52 % (18505)Memory used [KB]: 6908
% 0.15/0.52 % (18505)Time elapsed: 0.086 s
% 0.15/0.52 % (18505)Instructions burned: 22 (million)
% 0.15/0.52 % (18505)------------------------------
% 0.15/0.52 % (18505)------------------------------
% 0.15/0.52 % (18481)Success in time 0.211 s
%------------------------------------------------------------------------------