TSTP Solution File: GEO048-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO048-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n006.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 16:07:49 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 65 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 28 ~; 27 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-5 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f305,plain,
$false,
inference(avatar_sat_refutation,[],[f47,f300,f304]) ).
fof(f304,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f303,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f42,f283]) ).
fof(f283,plain,
between(w,v,u),
inference(subsumption_resolution,[],[f282,f30]) ).
fof(f30,plain,
! [X3,X4] : between(X3,X4,X4),
inference(superposition,[],[f4,f25]) ).
fof(f25,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f5,axiom,
! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f282,plain,
( between(w,v,u)
| ~ between(v,w,w) ),
inference(subsumption_resolution,[],[f280,f19]) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f280,plain,
( ~ between(u,v,w)
| between(w,v,u)
| ~ between(v,w,w) ),
inference(superposition,[],[f9,f277]) ).
fof(f277,plain,
v = inner_pasch(u,v,w,w,v),
inference(resolution,[],[f121,f30]) ).
fof(f121,plain,
! [X38] :
( ~ between(v,X38,w)
| v = inner_pasch(u,v,w,X38,v) ),
inference(resolution,[],[f28,f19]) ).
fof(f28,plain,
! [X2,X3,X0,X1] :
( ~ between(X3,X0,X2)
| ~ between(X0,X1,X2)
| inner_pasch(X3,X0,X2,X1,X0) = X0 ),
inference(resolution,[],[f8,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f8,axiom,
! [X3,X10,X0,X1,X5] :
( between(X3,inner_pasch(X10,X3,X5,X0,X1),X1)
| ~ between(X1,X0,X5)
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f9,axiom,
! [X3,X10,X0,X1,X5] :
( between(X0,inner_pasch(X10,X3,X5,X0,X1),X10)
| ~ between(X10,X3,X5)
| ~ between(X1,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f42,plain,
( ~ between(w,v,u)
| spl0_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_1
<=> between(w,v,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f300,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f299,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f298,f30]) ).
fof(f298,plain,
( ~ between(v1,w,w)
| spl0_2 ),
inference(subsumption_resolution,[],[f297,f20]) ).
fof(f20,axiom,
between(u1,v1,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w) ).
fof(f297,plain,
( ~ between(u1,v1,w)
| ~ between(v1,w,w)
| spl0_2 ),
inference(subsumption_resolution,[],[f295,f49]) ).
fof(f49,plain,
( ~ between(w,v1,u1)
| spl0_2 ),
inference(subsumption_resolution,[],[f48,f21]) ).
fof(f21,axiom,
between(u,x,u1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_between_u_and_u1) ).
fof(f48,plain,
( ~ between(u,x,u1)
| ~ between(w,v1,u1)
| spl0_2 ),
inference(resolution,[],[f46,f9]) ).
fof(f46,plain,
( ~ between(v1,inner_pasch(u,x,u1,v1,w),u)
| spl0_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl0_2
<=> between(v1,inner_pasch(u,x,u1,v1,w),u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f295,plain,
( ~ between(u1,v1,w)
| ~ between(v1,w,w)
| between(w,v1,u1) ),
inference(superposition,[],[f9,f284]) ).
fof(f284,plain,
v1 = inner_pasch(u1,v1,w,w,v1),
inference(resolution,[],[f122,f30]) ).
fof(f122,plain,
! [X39] :
( ~ between(v1,X39,w)
| v1 = inner_pasch(u1,v1,w,X39,v1) ),
inference(resolution,[],[f28,f20]) ).
fof(f47,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f37,f44,f40]) ).
fof(f37,plain,
( ~ between(v1,inner_pasch(u,x,u1,v1,w),u)
| ~ between(w,v,u) ),
inference(resolution,[],[f9,f23]) ).
fof(f23,axiom,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_conclusion2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO048-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % 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 : n006.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 21:01:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.47 % (17622)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.48 % (17614)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.48 % (17614)Instruction limit reached!
% 0.18/0.48 % (17614)------------------------------
% 0.18/0.48 % (17614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (17622)First to succeed.
% 0.18/0.49 % (17614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (17614)Termination reason: Unknown
% 0.18/0.49 % (17614)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (17614)Memory used [KB]: 1279
% 0.18/0.49 % (17614)Time elapsed: 0.003 s
% 0.18/0.49 % (17614)Instructions burned: 2 (million)
% 0.18/0.49 % (17614)------------------------------
% 0.18/0.49 % (17614)------------------------------
% 0.18/0.50 % (17622)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (17622)------------------------------
% 0.18/0.50 % (17622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (17622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (17622)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (17622)Memory used [KB]: 6140
% 0.18/0.50 % (17622)Time elapsed: 0.094 s
% 0.18/0.50 % (17622)Instructions burned: 27 (million)
% 0.18/0.50 % (17622)------------------------------
% 0.18/0.50 % (17622)------------------------------
% 0.18/0.50 % (17597)Success in time 0.155 s
%------------------------------------------------------------------------------