TSTP Solution File: COL091-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL091-1 : 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 : n025.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 1.33s 0.54s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 66 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 30 ~; 30 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f94,f101,f107]) ).
fof(f107,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f106,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f104,f2]) ).
fof(f2,axiom,
! [X0,X1] : combK != comb_app(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_app) ).
fof(f104,plain,
( combK = comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r))
| ~ spl0_1 ),
inference(resolution,[],[f54,f23]) ).
fof(f23,axiom,
! [X0,X1,X7] :
( ~ ap_contractE_c2(X0,X1,X7)
| comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X7)),ap_contractE_sk1q(X0,X1,X7)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE9) ).
fof(f54,plain,
( ap_contractE_c2(combK,p,r)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_1
<=> ap_contractE_c2(combK,p,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f101,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f97,f2]) ).
fof(f97,plain,
( combK = comb_app(combK,r)
| ~ spl0_3 ),
inference(resolution,[],[f62,f18]) ).
fof(f18,axiom,
! [X0,X1,X7] :
( ~ ap_contractE_c1(X0,X1,X7)
| comb_app(combK,X7) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE4) ).
fof(f62,plain,
( ap_contractE_c1(combK,p,r)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_3
<=> ap_contractE_c1(combK,p,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f94,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f93]) ).
fof(f93,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f78,f58]) ).
fof(f58,plain,
( ap_contractE_c4(combK,p,r)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl0_2
<=> ap_contractE_c4(combK,p,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f78,plain,
( ~ ap_contractE_c4(combK,p,r)
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f66]) ).
fof(f66,plain,
( ~ ap_contractE_c4(combK,p,r)
| r != r
| ~ spl0_2 ),
inference(superposition,[],[f45,f64]) ).
fof(f64,plain,
( r = comb_app(combK,ap_contractE_sk3q(combK,p,r))
| ~ spl0_2 ),
inference(resolution,[],[f58,f29]) ).
fof(f29,axiom,
! [X0,X1,X7] :
( ~ ap_contractE_c4(X0,X1,X7)
| comb_app(X0,ap_contractE_sk3q(X0,X1,X7)) = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE15) ).
fof(f45,plain,
! [X4,X5] :
( r != comb_app(combK,ap_contractE_sk3q(X4,p,X5))
| ~ ap_contractE_c4(X4,p,X5) ),
inference(resolution,[],[f27,f33]) ).
fof(f33,axiom,
! [X1] :
( ~ member(pair(p,X1),contract)
| r != comb_app(combK,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_contractD_c1) ).
fof(f27,axiom,
! [X0,X1,X7] :
( member(pair(X1,ap_contractE_sk3q(X0,X1,X7)),contract)
| ~ ap_contractE_c4(X0,X1,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE13) ).
fof(f63,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f50,f60,f56,f52]) ).
fof(f50,plain,
( ap_contractE_c1(combK,p,r)
| ap_contractE_c4(combK,p,r)
| ap_contractE_c2(combK,p,r) ),
inference(subsumption_resolution,[],[f46,f40]) ).
fof(f40,plain,
! [X0,X1] : ~ ap_contractE_c3(combK,X0,X1),
inference(resolution,[],[f24,f30]) ).
fof(f30,axiom,
! [X7] : ~ member(pair(combK,X7),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_contractE) ).
fof(f24,axiom,
! [X0,X1,X7] :
( member(pair(X0,ap_contractE_sk2q(X0,X1,X7)),contract)
| ~ ap_contractE_c3(X0,X1,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE10) ).
fof(f46,plain,
( ap_contractE_c2(combK,p,r)
| ap_contractE_c3(combK,p,r)
| ap_contractE_c1(combK,p,r)
| ap_contractE_c4(combK,p,r) ),
inference(resolution,[],[f15,f32]) ).
fof(f32,axiom,
member(pair(comb_app(combK,p),r),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_contractD_h1) ).
fof(f15,axiom,
! [X0,X1,X7] :
( ~ member(pair(comb_app(X0,X1),X7),contract)
| ap_contractE_c2(X0,X1,X7)
| ap_contractE_c3(X0,X1,X7)
| ap_contractE_c4(X0,X1,X7)
| ap_contractE_c1(X0,X1,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COL091-1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 29 17:01:14 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.51 % (3895)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)
% 0.21/0.51 % (3887)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.52 % (3877)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)
% 0.21/0.52 % (3895)Refutation not found, incomplete strategy% (3895)------------------------------
% 0.21/0.52 % (3895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (3871)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)
% 0.21/0.53 % (3873)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)
% 1.33/0.53 % (3883)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.33/0.53 % (3895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (3895)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.53
% 1.33/0.53 % (3895)Memory used [KB]: 5884
% 1.33/0.53 % (3895)Time elapsed: 0.107 s
% 1.33/0.53 % (3895)Instructions burned: 2 (million)
% 1.33/0.53 % (3895)------------------------------
% 1.33/0.53 % (3895)------------------------------
% 1.33/0.53 % (3884)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)
% 1.33/0.53 % (3898)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.33/0.53 % (3887)First to succeed.
% 1.33/0.53 % (3896)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)
% 1.33/0.53 % (3898)Refutation not found, incomplete strategy% (3898)------------------------------
% 1.33/0.53 % (3898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (3898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (3898)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.53
% 1.33/0.53 % (3898)Memory used [KB]: 5884
% 1.33/0.53 % (3898)Time elapsed: 0.132 s
% 1.33/0.53 % (3898)------------------------------
% 1.33/0.53 % (3898)------------------------------
% 1.33/0.54 % (3897)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.33/0.54 % (3887)Refutation found. Thanks to Tanya!
% 1.33/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.33/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.54 % (3887)------------------------------
% 1.33/0.54 % (3887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (3887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (3887)Termination reason: Refutation
% 1.33/0.54
% 1.33/0.54 % (3887)Memory used [KB]: 5884
% 1.33/0.54 % (3887)Time elapsed: 0.108 s
% 1.33/0.54 % (3887)Instructions burned: 4 (million)
% 1.33/0.54 % (3887)------------------------------
% 1.33/0.54 % (3887)------------------------------
% 1.33/0.54 % (3869)Success in time 0.176 s
%------------------------------------------------------------------------------