TSTP Solution File: GEO042-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO042-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 11:13:21 EDT 2024
% Result : Unsatisfiable 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 46 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 26 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f216,plain,
$false,
inference(resolution,[],[f215,f25]) ).
fof(f25,plain,
! [X0,X1] : between(X0,X1,X1),
inference(superposition,[],[f4,f23]) ).
fof(f23,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(f215,plain,
~ between(v,u,u),
inference(resolution,[],[f214,f20]) ).
fof(f20,axiom,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f214,plain,
( ~ between(v,w,x)
| ~ between(v,u,u) ),
inference(resolution,[],[f213,f19]) ).
fof(f19,axiom,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f213,plain,
( ~ between(u,v,x)
| ~ between(v,w,x)
| ~ between(v,u,u) ),
inference(resolution,[],[f206,f64]) ).
fof(f64,plain,
( between(w,v,u)
| ~ between(v,w,x)
| ~ between(u,v,x) ),
inference(superposition,[],[f9,f60]) ).
fof(f60,plain,
v = inner_pasch(u,v,x,w,v),
inference(resolution,[],[f51,f20]) ).
fof(f51,plain,
! [X0] :
( ~ between(v,X0,x)
| v = inner_pasch(u,v,x,X0,v) ),
inference(resolution,[],[f45,f19]) ).
fof(f45,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(X1,X0,X5)
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f206,plain,
( ~ between(w,v,u)
| ~ between(v,u,u) ),
inference(resolution,[],[f193,f21]) ).
fof(f21,axiom,
~ between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).
fof(f193,plain,
( between(u,v,w)
| ~ between(v,u,u)
| ~ between(w,v,u) ),
inference(superposition,[],[f9,f192]) ).
fof(f192,plain,
v = inner_pasch(w,v,u,u,v),
inference(resolution,[],[f191,f20]) ).
fof(f191,plain,
( ~ between(v,w,x)
| v = inner_pasch(w,v,u,u,v) ),
inference(resolution,[],[f97,f19]) ).
fof(f97,plain,
( ~ between(u,v,x)
| ~ between(v,w,x)
| v = inner_pasch(w,v,u,u,v) ),
inference(resolution,[],[f64,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ between(X2,X0,X1)
| inner_pasch(X2,X0,X1,X1,X0) = X0 ),
inference(resolution,[],[f45,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO042-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:36:28 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (15031)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (15034)WARNING: value z3 for option sas not known
% 0.15/0.38 % (15032)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (15036)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (15033)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (15037)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (15035)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (15034)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (15038)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.40 % (15037)First to succeed.
% 0.15/0.40 % (15037)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (15037)------------------------------
% 0.15/0.40 % (15037)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (15037)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (15037)Memory used [KB]: 980
% 0.15/0.40 % (15037)Time elapsed: 0.016 s
% 0.15/0.40 % (15037)Instructions burned: 22 (million)
% 0.15/0.40 % (15037)------------------------------
% 0.15/0.40 % (15037)------------------------------
% 0.15/0.40 % (15031)Success in time 0.033 s
%------------------------------------------------------------------------------