TSTP Solution File: GEO048-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n024.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 16:11:39 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 54 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 35 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-5 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(resolution,[],[f123,f19]) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f123,plain,
~ between(u,v,w),
inference(resolution,[],[f122,f21]) ).
fof(f21,axiom,
between(u,x,u1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_between_u_and_u1) ).
fof(f122,plain,
( ~ between(u,x,u1)
| ~ between(u,v,w) ),
inference(resolution,[],[f121,f27]) ).
fof(f27,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/sandbox/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/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f121,plain,
( ~ between(v,w,w)
| ~ between(u,x,u1)
| ~ between(u,v,w) ),
inference(resolution,[],[f120,f69]) ).
fof(f69,plain,
( between(w,v,u)
| ~ between(v,w,w)
| ~ between(u,v,w) ),
inference(superposition,[],[f9,f66]) ).
fof(f66,plain,
v = inner_pasch(u,v,w,w,v),
inference(resolution,[],[f55,f27]) ).
fof(f55,plain,
! [X20] :
( ~ between(v,X20,w)
| v = inner_pasch(u,v,w,X20,v) ),
inference(resolution,[],[f47,f19]) ).
fof(f47,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/sandbox/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/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f9,axiom,
! [X3,X10,X0,X1,X5] :
( between(X0,inner_pasch(X10,X3,X5,X0,X1),X10)
| ~ between(X1,X0,X5)
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f120,plain,
( ~ between(w,v,u)
| ~ between(u,x,u1) ),
inference(resolution,[],[f119,f20]) ).
fof(f20,axiom,
between(u1,v1,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w) ).
fof(f119,plain,
( ~ between(u1,v1,w)
| ~ between(w,v,u)
| ~ between(u,x,u1) ),
inference(resolution,[],[f115,f27]) ).
fof(f115,plain,
( ~ between(v1,w,w)
| ~ between(u1,v1,w)
| ~ between(u,x,u1)
| ~ between(w,v,u) ),
inference(resolution,[],[f76,f50]) ).
fof(f50,plain,
( ~ between(w,v1,u1)
| ~ between(w,v,u)
| ~ between(u,x,u1) ),
inference(resolution,[],[f49,f9]) ).
fof(f49,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/sandbox/benchmark/theBenchmark.p',prove_conclusion2) ).
fof(f76,plain,
( between(w,v1,u1)
| ~ between(u1,v1,w)
| ~ between(v1,w,w) ),
inference(superposition,[],[f9,f71]) ).
fof(f71,plain,
v1 = inner_pasch(u1,v1,w,w,v1),
inference(resolution,[],[f56,f27]) ).
fof(f56,plain,
! [X21] :
( ~ between(v1,X21,w)
| v1 = inner_pasch(u1,v1,w,X21,v1) ),
inference(resolution,[],[f47,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO048-2 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.12/0.33 % Computer : n024.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 21:04:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 % (22650)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)
% 0.19/0.44 % (22664)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)
% 0.19/0.44 % (22656)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)
% 0.19/0.45 % (22650)First to succeed.
% 0.19/0.46 % (22650)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (22650)------------------------------
% 0.19/0.46 % (22650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (22650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (22650)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (22650)Memory used [KB]: 1023
% 0.19/0.46 % (22650)Time elapsed: 0.055 s
% 0.19/0.46 % (22650)Instructions burned: 8 (million)
% 0.19/0.46 % (22650)------------------------------
% 0.19/0.46 % (22650)------------------------------
% 0.19/0.46 % (22638)Success in time 0.118 s
%------------------------------------------------------------------------------