TSTP Solution File: GEO040-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO040-2 : 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 : n032.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 11:13:20 EDT 2024
% Result : Unsatisfiable 0.14s 0.33s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 28 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f145,plain,
$false,
inference(trivial_inequality_removal,[],[f144]) ).
fof(f144,plain,
u != u,
inference(superposition,[],[f21,f110]) ).
fof(f110,plain,
u = v,
inference(resolution,[],[f105,f19]) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f105,plain,
( ~ between(u,v,w)
| u = v ),
inference(resolution,[],[f101,f20]) ).
fof(f20,axiom,
between(v,u,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_between_v_and_w) ).
fof(f101,plain,
( ~ between(v,u,w)
| ~ between(u,v,w)
| u = v ),
inference(resolution,[],[f64,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f64,plain,
( between(v,u,v)
| ~ between(u,v,w)
| ~ between(v,u,w) ),
inference(superposition,[],[f9,f60]) ).
fof(f60,plain,
u = inner_pasch(v,u,w,v,u),
inference(resolution,[],[f52,f19]) ).
fof(f52,plain,
! [X0] :
( ~ between(u,X0,w)
| u = inner_pasch(v,u,w,X0,u) ),
inference(resolution,[],[f45,f20]) ).
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(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(f21,axiom,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_u_is_v) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO040-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 05:46:06 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (21428)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (21429)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.32 % (21431)WARNING: value z3 for option sas not known
% 0.14/0.32 % (21434)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)
% 0.14/0.32 % (21430)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.32 % (21433)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)
% 0.14/0.32 % (21431)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)
% 0.14/0.32 % (21435)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)
% 0.14/0.32 % (21432)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.33 % (21434)First to succeed.
% 0.14/0.33 TRYING [1]
% 0.14/0.33 % (21434)Refutation found. Thanks to Tanya!
% 0.14/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.33 % (21434)------------------------------
% 0.14/0.33 % (21434)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.33 % (21434)Termination reason: Refutation
% 0.14/0.33
% 0.14/0.33 % (21434)Memory used [KB]: 889
% 0.14/0.33 % (21434)Time elapsed: 0.008 s
% 0.14/0.33 % (21434)Instructions burned: 11 (million)
% 0.14/0.33 % (21434)------------------------------
% 0.14/0.33 % (21434)------------------------------
% 0.14/0.33 % (21428)Success in time 0.021 s
%------------------------------------------------------------------------------