TSTP Solution File: COL092-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL092-1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n022.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 15:52:04 EDT 2022
% Result : Unsatisfiable 1.32s 0.53s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 53 ( 6 unt; 0 def)
% Number of atoms : 113 ( 17 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 112 ( 52 ~; 54 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f165,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f100,f105,f110,f132,f154,f162]) ).
fof(f162,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f161,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f157,f2]) ).
fof(f2,axiom,
! [X0,X1] : combK != comb_app(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_app) ).
fof(f157,plain,
( combK = comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r))
| ~ spl0_6 ),
inference(resolution,[],[f99,f50]) ).
fof(f50,axiom,
! [X0,X1,X7] :
( ~ ap_parcontractE_c3(X0,X1,X7)
| comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X7)),ap_parcontractE_sk1q(X0,X1,X7)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE11) ).
fof(f99,plain,
( ap_parcontractE_c3(combK,p,r)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl0_6
<=> ap_parcontractE_c3(combK,p,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f154,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f153,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f152,f149]) ).
fof(f149,plain,
( ~ member(r,comb)
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f144,f62]) ).
fof(f62,plain,
( ~ member(p,comb)
| spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_1
<=> member(p,comb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f144,plain,
( member(p,comb)
| ~ member(r,comb)
| ~ spl0_2 ),
inference(superposition,[],[f8,f65]) ).
fof(f65,plain,
( comb_app(combK,p) = r
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl0_2
<=> comb_app(combK,p) = r ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ member(comb_app(X0,X1),comb)
| member(X1,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_E2) ).
fof(f152,plain,
( member(r,comb)
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f151,f65]) ).
fof(f151,plain,
( member(comb_app(combK,p),comb)
| ~ spl0_4 ),
inference(resolution,[],[f91,f41]) ).
fof(f41,axiom,
! [X0,X1,X7] :
( ~ ap_parcontractE_c1(X0,X1,X7)
| member(comb_app(X0,X1),comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE2) ).
fof(f91,plain,
( ap_parcontractE_c1(combK,p,r)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_4
<=> ap_parcontractE_c1(combK,p,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f132,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f131,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f130,f114]) ).
fof(f114,plain,
( r != comb_app(combK,ap_parcontractE_sk2s(combK,p,r))
| ~ spl0_5 ),
inference(resolution,[],[f112,f55]) ).
fof(f55,axiom,
! [X9] :
( ~ member(pair(p,X9),parcontract)
| r != comb_app(combK,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_parcontractD_c1) ).
fof(f112,plain,
( member(pair(p,ap_parcontractE_sk2s(combK,p,r)),parcontract)
| ~ spl0_5 ),
inference(resolution,[],[f95,f52]) ).
fof(f52,axiom,
! [X0,X1,X7] :
( ~ ap_parcontractE_c4(X0,X1,X7)
| member(pair(X1,ap_parcontractE_sk2s(X0,X1,X7)),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE13) ).
fof(f95,plain,
( ap_parcontractE_c4(combK,p,r)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_5
<=> ap_parcontractE_c4(combK,p,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f130,plain,
( r = comb_app(combK,ap_parcontractE_sk2s(combK,p,r))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f111,f116]) ).
fof(f116,plain,
( combK = ap_parcontractE_sk2q(combK,p,r)
| ~ spl0_5 ),
inference(resolution,[],[f113,f37]) ).
fof(f37,axiom,
! [X7] :
( ~ member(pair(combK,X7),parcontract)
| combK = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_parcontractE2) ).
fof(f113,plain,
( member(pair(combK,ap_parcontractE_sk2q(combK,p,r)),parcontract)
| ~ spl0_5 ),
inference(resolution,[],[f95,f51]) ).
fof(f51,axiom,
! [X0,X1,X7] :
( ~ ap_parcontractE_c4(X0,X1,X7)
| member(pair(X0,ap_parcontractE_sk2q(X0,X1,X7)),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE12) ).
fof(f111,plain,
( r = comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r))
| ~ spl0_5 ),
inference(resolution,[],[f95,f53]) ).
fof(f53,axiom,
! [X0,X1,X7] :
( ~ ap_parcontractE_c4(X0,X1,X7)
| comb_app(ap_parcontractE_sk2q(X0,X1,X7),ap_parcontractE_sk2s(X0,X1,X7)) = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE14) ).
fof(f110,plain,
( spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f108,f89,f64]) ).
fof(f108,plain,
( comb_app(combK,p) = r
| ~ spl0_4 ),
inference(resolution,[],[f91,f42]) ).
fof(f42,axiom,
! [X0,X1,X7] :
( ~ ap_parcontractE_c1(X0,X1,X7)
| comb_app(X0,X1) = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE3) ).
fof(f105,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f104]) ).
fof(f104,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f103,f2]) ).
fof(f103,plain,
( combK = comb_app(combK,r)
| ~ spl0_3 ),
inference(resolution,[],[f87,f45]) ).
fof(f45,axiom,
! [X0,X1,X7] :
( ~ ap_parcontractE_c2(X0,X1,X7)
| comb_app(combK,X7) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE6) ).
fof(f87,plain,
( ap_parcontractE_c2(combK,p,r)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl0_3
<=> ap_parcontractE_c2(combK,p,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f100,plain,
( spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f75,f97,f93,f89,f85]) ).
fof(f75,plain,
( ap_parcontractE_c3(combK,p,r)
| ap_parcontractE_c4(combK,p,r)
| ap_parcontractE_c1(combK,p,r)
| ap_parcontractE_c2(combK,p,r) ),
inference(resolution,[],[f40,f54]) ).
fof(f54,axiom,
member(pair(comb_app(combK,p),r),parcontract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_parcontractD_h1) ).
fof(f40,axiom,
! [X0,X1,X7] :
( ~ member(pair(comb_app(X0,X1),X7),parcontract)
| ap_parcontractE_c4(X0,X1,X7)
| ap_parcontractE_c1(X0,X1,X7)
| ap_parcontractE_c3(X0,X1,X7)
| ap_parcontractE_c2(X0,X1,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE1) ).
fof(f67,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f58,f64,f60]) ).
fof(f58,plain,
( comb_app(combK,p) != r
| ~ member(p,comb) ),
inference(resolution,[],[f32,f55]) ).
fof(f32,axiom,
! [X0] :
( member(pair(X0,X0),parcontract)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL092-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % 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 : n022.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 16:53:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.46 % (7303)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.47 % (7320)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.47 % (7303)Instruction limit reached!
% 0.18/0.47 % (7303)------------------------------
% 0.18/0.47 % (7303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (7303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (7303)Termination reason: Unknown
% 0.18/0.47 % (7303)Termination phase: Saturation
% 0.18/0.47
% 0.18/0.47 % (7303)Memory used [KB]: 5884
% 0.18/0.47 % (7303)Time elapsed: 0.074 s
% 0.18/0.47 % (7303)Instructions burned: 5 (million)
% 0.18/0.47 % (7303)------------------------------
% 0.18/0.47 % (7303)------------------------------
% 0.18/0.50 % (7320)Refutation not found, incomplete strategy% (7320)------------------------------
% 0.18/0.50 % (7320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (7320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (7320)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (7320)Memory used [KB]: 6140
% 0.18/0.50 % (7320)Time elapsed: 0.099 s
% 0.18/0.50 % (7320)Instructions burned: 26 (million)
% 0.18/0.50 % (7320)------------------------------
% 0.18/0.50 % (7320)------------------------------
% 0.18/0.51 % (7302)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.51 % (7312)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.51 % (7312)Refutation not found, incomplete strategy% (7312)------------------------------
% 0.18/0.51 % (7312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (7312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (7312)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (7312)Memory used [KB]: 5884
% 0.18/0.51 % (7312)Time elapsed: 0.120 s
% 0.18/0.51 % (7312)------------------------------
% 0.18/0.51 % (7312)------------------------------
% 0.18/0.51 % (7292)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)
% 1.32/0.52 % (7299)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)
% 1.32/0.52 % (7299)Instruction limit reached!
% 1.32/0.52 % (7299)------------------------------
% 1.32/0.52 % (7299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52 % (7299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52 % (7299)Termination reason: Unknown
% 1.32/0.52 % (7299)Termination phase: Saturation
% 1.32/0.52
% 1.32/0.52 % (7299)Memory used [KB]: 5884
% 1.32/0.52 % (7299)Time elapsed: 0.121 s
% 1.32/0.52 % (7299)Instructions burned: 4 (million)
% 1.32/0.52 % (7299)------------------------------
% 1.32/0.52 % (7299)------------------------------
% 1.32/0.52 % (7295)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)
% 1.32/0.52 % (7293)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)
% 1.32/0.52 % (7317)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.32/0.52 % (7294)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)
% 1.32/0.52 % (7293)Instruction limit reached!
% 1.32/0.52 % (7293)------------------------------
% 1.32/0.52 % (7293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52 % (7293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52 % (7293)Termination reason: Unknown
% 1.32/0.52 % (7293)Termination phase: Saturation
% 1.32/0.52
% 1.32/0.52 % (7293)Memory used [KB]: 5884
% 1.32/0.52 % (7293)Time elapsed: 0.135 s
% 1.32/0.52 % (7293)Instructions burned: 5 (million)
% 1.32/0.52 % (7293)------------------------------
% 1.32/0.52 % (7293)------------------------------
% 1.32/0.52 % (7316)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.32/0.52 % (7294)Refutation not found, incomplete strategy% (7294)------------------------------
% 1.32/0.52 % (7294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52 % (7294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52 % (7294)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.52
% 1.32/0.52 % (7294)Memory used [KB]: 5884
% 1.32/0.52 % (7294)Time elapsed: 0.135 s
% 1.32/0.52 % (7294)Instructions burned: 3 (million)
% 1.32/0.52 % (7294)------------------------------
% 1.32/0.52 % (7294)------------------------------
% 1.32/0.52 % (7300)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.53 % (7316)Refutation not found, incomplete strategy% (7316)------------------------------
% 1.32/0.53 % (7316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (7316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (7316)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.53
% 1.32/0.53 % (7316)Memory used [KB]: 5884
% 1.32/0.53 % (7316)Time elapsed: 0.135 s
% 1.32/0.53 % (7316)Instructions burned: 2 (million)
% 1.32/0.53 % (7316)------------------------------
% 1.32/0.53 % (7316)------------------------------
% 1.32/0.53 % (7302)First to succeed.
% 1.32/0.53 % (7301)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.32/0.53 % (7302)Refutation found. Thanks to Tanya!
% 1.32/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.32/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.53 % (7302)------------------------------
% 1.32/0.53 % (7302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (7302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (7302)Termination reason: Refutation
% 1.32/0.53
% 1.32/0.53 % (7302)Memory used [KB]: 6012
% 1.32/0.53 % (7302)Time elapsed: 0.128 s
% 1.32/0.53 % (7302)Instructions burned: 8 (million)
% 1.32/0.53 % (7302)------------------------------
% 1.32/0.53 % (7302)------------------------------
% 1.32/0.53 % (7290)Success in time 0.183 s
%------------------------------------------------------------------------------