TSTP Solution File: GEO058-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO058-2 : 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 : n031.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 11:13:41 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 21 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(trivial_inequality_removal,[],[f57]) ).
fof(f57,plain,
v != v,
inference(superposition,[],[f21,f52]) ).
fof(f52,plain,
v = u,
inference(resolution,[],[f43,f28]) ).
fof(f28,plain,
! [X2,X1] : equidistant(X1,X1,X2,X2),
inference(superposition,[],[f5,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/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(f43,plain,
! [X0] :
( ~ equidistant(v,v,X0,X0)
| v = u ),
inference(resolution,[],[f37,f35]) ).
fof(f35,plain,
equidistant(v,v,u,v),
inference(superposition,[],[f24,f20]) ).
fof(f20,axiom,
v = reflection(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_equals_reflection) ).
fof(f24,plain,
! [X0,X1] : equidistant(X1,reflection(X0,X1),X0,X1),
inference(superposition,[],[f5,f19]) ).
fof(f19,axiom,
! [X3,X10] : reflection(X10,X3) = extension(X10,X3,X10,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflection) ).
fof(f37,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X1,X3,X4)
| ~ equidistant(X0,X1,X2,X2)
| X3 = X4 ),
inference(resolution,[],[f2,f3]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f21,axiom,
v != u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_u_equals_v) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO058-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 06:24:28 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (29164)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (29168)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 % (29167)WARNING: value z3 for option sas not known
% 0.14/0.36 % (29165)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (29169)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)
% 0.14/0.36 % (29170)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)
% 0.14/0.36 % (29166)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (29171)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)
% 0.14/0.36 % (29167)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)
% 0.14/0.36 TRYING [3]
% 0.14/0.37 % (29170)First to succeed.
% 0.14/0.37 % (29171)Also succeeded, but the first one will report.
% 0.14/0.37 % (29167)Also succeeded, but the first one will report.
% 0.14/0.37 % (29170)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (29170)------------------------------
% 0.14/0.37 % (29170)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (29170)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (29170)Memory used [KB]: 813
% 0.14/0.37 % (29170)Time elapsed: 0.005 s
% 0.14/0.37 % (29170)Instructions burned: 5 (million)
% 0.14/0.37 % (29170)------------------------------
% 0.14/0.37 % (29170)------------------------------
% 0.14/0.37 % (29164)Success in time 0.021 s
%------------------------------------------------------------------------------