%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO331+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:26 AM UTC 2026
% Result : Theorem 0.16s 0.54s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 101 ( 38 unt; 0 def)
% Number of atoms : 368 ( 190 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 404 ( 137 ~; 238 |; 24 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 129 ( 116 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1352,vd1353) = vf(vd1352,vd1354),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(384, 1360, 0)') ).
fof(f2,negated_conjecture,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(383, 1356, 0)') ).
fof(f4,axiom,
vd1353 != vd1354,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 9)') ).
fof(f5,axiom,
vd1352 != vd1354,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 8)') ).
fof(f6,axiom,
vd1352 != vd1353,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 7)') ).
fof(f7,axiom,
? [X0] :
( vd1354 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(383)))') ).
fof(f8,axiom,
? [X0] :
( vd1353 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(383)))') ).
fof(f9,axiom,
? [X0] :
( vd1352 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(383)))') ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( vangle(X0,X1,X2) = vangle(X0,X2,X1)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( vf(X0,X1) != vf(X0,X2)
=> ~ rless(vf(X0,X1),vf(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 1)') ).
fof(f22,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f30,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f60,axiom,
! [X0,X1,X2,X3] :
( ( X2 = X3
& rreal(X3)
& X0 = X1
& rreal(X1) )
=> ( rless(X0,X2)
| X0 = X2
| rless(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))') ).
fof(f128,plain,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(flattening,[],[f2]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ~ rless(vf(X0,X1),vf(X0,X2))
| vf(X0,X1) = vf(X0,X2)
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ~ rless(vf(X0,X1),vf(X0,X2))
| vf(X0,X1) = vf(X0,X2)
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f135]) ).
fof(f157,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f158,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f157]) ).
fof(f173,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f174,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f173]) ).
fof(f228,plain,
! [X0,X1,X2,X3] :
( rless(X0,X2)
| X0 = X2
| rless(X2,X0)
| X2 != X3
| ~ rreal(X3)
| X0 != X1
| ~ rreal(X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f229,plain,
! [X0,X1,X2,X3] :
( rless(X0,X2)
| X0 = X2
| rless(X2,X0)
| X2 != X3
| ~ rreal(X3)
| X0 != X1
| ~ rreal(X1) ),
inference(flattening,[],[f228]) ).
fof(f353,plain,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(cnf_transformation,[],[f128]) ).
fof(f354,plain,
vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
inference(cnf_transformation,[],[f3]) ).
fof(f355,plain,
vd1353 != vd1354,
inference(cnf_transformation,[],[f4]) ).
fof(f356,plain,
vd1352 != vd1354,
inference(cnf_transformation,[],[f5]) ).
fof(f357,plain,
vd1352 != vd1353,
inference(cnf_transformation,[],[f6]) ).
fof(f358,plain,
rpoint(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f359,plain,
vd1354 = sK0,
inference(cnf_transformation,[],[f7]) ).
fof(f360,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f361,plain,
vd1353 = sK1,
inference(cnf_transformation,[],[f8]) ).
fof(f362,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f9]) ).
fof(f363,plain,
vd1352 = sK2,
inference(cnf_transformation,[],[f9]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| X0 = X1
| X0 = X2
| X1 = X2
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| vf(X0,X1) = vf(X0,X2)
| ~ rless(vf(X0,X1),vf(X0,X2)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) = vf(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| rreal(sK6(X0,X1)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) = sK6(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f451,plain,
! [X2,X3,X0,X1] :
( ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| rless(X2,X0)
| X0 = X2
| rless(X0,X2) ),
inference(cnf_transformation,[],[f229]) ).
fof(f624,plain,
vf(sK2,sK1) != vf(sK2,sK0),
inference(definition_unfolding,[],[f353,f363,f361,f363,f359]) ).
fof(f625,plain,
vangle(sK2,sK1,sK0) = vangle(sK2,sK0,sK1),
inference(definition_unfolding,[],[f354,f363,f361,f359,f363,f359,f361]) ).
fof(f626,plain,
sK0 != sK1,
inference(definition_unfolding,[],[f355,f361,f359]) ).
fof(f627,plain,
sK0 != sK2,
inference(definition_unfolding,[],[f356,f363,f359]) ).
fof(f628,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f357,f363,f361]) ).
fof(f641,plain,
! [X2,X3,X1,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| X1 = X5
| X2 = X5
| X1 = X2
| vangle(X5,X1,X2) != vangle(X5,X2,X1)
| vf(X5,X1) = vf(X5,X2)
| ~ rless(vf(X5,X1),vf(X5,X2)) ),
inference(equality_resolution,[],[f365]) ).
fof(f642,plain,
! [X2,X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| X2 != X3
| X4 = X5
| X2 = X5
| X2 = X4
| vangle(X5,X4,X2) != vangle(X5,X2,X4)
| vf(X5,X2) = vf(X5,X4)
| ~ rless(vf(X5,X4),vf(X5,X2)) ),
inference(equality_resolution,[],[f641]) ).
fof(f643,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| X4 = X5
| X3 = X5
| X3 = X4
| vangle(X5,X3,X4) != vangle(X5,X4,X3)
| vf(X5,X3) = vf(X5,X4)
| ~ rless(vf(X5,X4),vf(X5,X3)) ),
inference(equality_resolution,[],[f642]) ).
fof(f753,plain,
! [X2,X3,X1] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| X1 != X2
| vf(X1,X3) = vf(X3,X1) ),
inference(equality_resolution,[],[f387]) ).
fof(f754,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X2,X3) = vf(X3,X2) ),
inference(equality_resolution,[],[f753]) ).
fof(f795,plain,
! [X2,X3,X1] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| X1 != X2
| vf(X3,X1) = sK6(X3,X1) ),
inference(equality_resolution,[],[f401]) ).
fof(f796,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = sK6(X3,X2) ),
inference(equality_resolution,[],[f795]) ).
fof(f797,plain,
! [X2,X3,X1] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| X1 != X2
| rreal(sK6(X3,X1)) ),
inference(equality_resolution,[],[f400]) ).
fof(f798,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| rreal(sK6(X3,X2)) ),
inference(equality_resolution,[],[f797]) ).
fof(f921,plain,
! [X2,X3,X1] :
( ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| rless(X2,X1)
| X1 = X2
| rless(X1,X2) ),
inference(equality_resolution,[],[f451]) ).
fof(f922,plain,
! [X3,X1] :
( ~ rreal(X1)
| ~ rreal(X3)
| rless(X3,X1)
| X1 = X3
| rless(X1,X3) ),
inference(equality_resolution,[],[f921]) ).
fof(f1835,plain,
~ rpoint(sK0),
inference(consistent_polarity_flipping,[],[f358]) ).
fof(f1836,plain,
~ rpoint(sK1),
inference(consistent_polarity_flipping,[],[f360]) ).
fof(f1837,plain,
~ rpoint(sK2),
inference(consistent_polarity_flipping,[],[f362]) ).
fof(f1839,plain,
! [X3,X4,X5] :
( vangle(X5,X3,X4) != vangle(X5,X4,X3)
| rpoint(X4)
| rpoint(X3)
| X4 = X5
| X3 = X5
| X3 = X4
| rpoint(X5)
| vf(X5,X3) = vf(X5,X4)
| rless(vf(X5,X4),vf(X5,X3)) ),
inference(consistent_polarity_flipping,[],[f643]) ).
fof(f1861,plain,
! [X2,X3] :
( rpoint(X3)
| rpoint(X2)
| vf(X2,X3) = vf(X3,X2) ),
inference(consistent_polarity_flipping,[],[f754]) ).
fof(f1874,plain,
! [X2,X3] :
( rpoint(X3)
| rpoint(X2)
| vf(X3,X2) = sK6(X3,X2) ),
inference(consistent_polarity_flipping,[],[f796]) ).
fof(f1875,plain,
! [X2,X3] :
( rreal(sK6(X3,X2))
| rpoint(X2)
| rpoint(X3) ),
inference(consistent_polarity_flipping,[],[f798]) ).
fof(f1912,plain,
! [X3,X1] :
( ~ rless(X1,X3)
| ~ rreal(X3)
| ~ rless(X3,X1)
| X1 = X3
| ~ rreal(X1) ),
inference(consistent_polarity_flipping,[],[f922]) ).
fof(f2154,plain,
! [X0] :
( rpoint(X0)
| vf(X0,sK0) = vf(sK0,X0) ),
inference(resolution,[],[f1861,f1835]) ).
fof(f2155,plain,
! [X0] :
( rpoint(X0)
| vf(X0,sK1) = vf(sK1,X0) ),
inference(resolution,[],[f1861,f1836]) ).
fof(f2167,plain,
! [X0] :
( rpoint(X0)
| vf(sK0,X0) = sK6(sK0,X0) ),
inference(resolution,[],[f1874,f1835]) ).
fof(f2168,plain,
! [X0] :
( rpoint(X0)
| vf(sK1,X0) = sK6(sK1,X0) ),
inference(resolution,[],[f1874,f1836]) ).
fof(f2393,plain,
vf(sK2,sK0) = vf(sK0,sK2),
inference(resolution,[],[f2154,f1837]) ).
fof(f2403,plain,
vf(sK2,sK1) = vf(sK1,sK2),
inference(resolution,[],[f2155,f1837]) ).
fof(f2616,plain,
vf(sK0,sK2) = sK6(sK0,sK2),
inference(resolution,[],[f2167,f1837]) ).
fof(f2621,plain,
vf(sK2,sK0) = sK6(sK0,sK2),
inference(forward_demodulation,[],[f2616,f2393]) ).
fof(f2644,plain,
( rreal(vf(sK2,sK0))
| rpoint(sK2)
| rpoint(sK0) ),
inference(superposition,[],[f1875,f2621]) ).
fof(f2645,plain,
( rreal(vf(sK2,sK0))
| rpoint(sK0) ),
inference(forward_subsumption_resolution,[],[f2644,f1837]) ).
fof(f2646,plain,
rreal(vf(sK2,sK0)),
inference(forward_subsumption_resolution,[],[f2645,f1835]) ).
fof(f2661,plain,
vf(sK1,sK2) = sK6(sK1,sK2),
inference(resolution,[],[f2168,f1837]) ).
fof(f2666,plain,
vf(sK2,sK1) = sK6(sK1,sK2),
inference(forward_demodulation,[],[f2661,f2403]) ).
fof(f2744,plain,
( rreal(vf(sK2,sK1))
| rpoint(sK2)
| rpoint(sK1) ),
inference(superposition,[],[f1875,f2666]) ).
fof(f2745,plain,
( rreal(vf(sK2,sK1))
| rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f2744,f1837]) ).
fof(f2746,plain,
rreal(vf(sK2,sK1)),
inference(forward_subsumption_resolution,[],[f2745,f1836]) ).
fof(f3231,plain,
( vangle(sK2,sK0,sK1) != vangle(sK2,sK0,sK1)
| rpoint(sK0)
| rpoint(sK1)
| sK0 = sK2
| sK1 = sK2
| sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK0),vf(sK2,sK1)) ),
inference(superposition,[],[f1839,f625]) ).
fof(f3232,plain,
( vangle(sK2,sK0,sK1) != vangle(sK2,sK0,sK1)
| rpoint(sK1)
| rpoint(sK0)
| sK1 = sK2
| sK0 = sK2
| sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK1),vf(sK2,sK0)) ),
inference(superposition,[],[f1839,f625]) ).
fof(f3235,plain,
( rpoint(sK1)
| rpoint(sK0)
| sK1 = sK2
| sK0 = sK2
| sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK1),vf(sK2,sK0)) ),
inference(trivial_inequality_removal,[],[f3232]) ).
fof(f3236,plain,
( rpoint(sK0)
| rpoint(sK1)
| sK0 = sK2
| sK1 = sK2
| sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK0),vf(sK2,sK1)) ),
inference(trivial_inequality_removal,[],[f3231]) ).
fof(f3237,plain,
( rpoint(sK0)
| sK1 = sK2
| sK0 = sK2
| sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK1),vf(sK2,sK0)) ),
inference(forward_subsumption_resolution,[],[f3235,f1836]) ).
fof(f3238,plain,
( rpoint(sK1)
| sK0 = sK2
| sK1 = sK2
| sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK0),vf(sK2,sK1)) ),
inference(forward_subsumption_resolution,[],[f3236,f1835]) ).
fof(f3239,plain,
( sK1 = sK2
| sK0 = sK2
| sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK1),vf(sK2,sK0)) ),
inference(forward_subsumption_resolution,[],[f3237,f1835]) ).
fof(f3240,plain,
( sK0 = sK2
| sK1 = sK2
| sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK0),vf(sK2,sK1)) ),
inference(forward_subsumption_resolution,[],[f3238,f1836]) ).
fof(f3241,plain,
( sK0 = sK2
| sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK1),vf(sK2,sK0)) ),
inference(forward_subsumption_resolution,[],[f3239,f628]) ).
fof(f3242,plain,
( sK1 = sK2
| sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK0),vf(sK2,sK1)) ),
inference(forward_subsumption_resolution,[],[f3240,f627]) ).
fof(f3243,plain,
( sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK1),vf(sK2,sK0)) ),
inference(forward_subsumption_resolution,[],[f3241,f627]) ).
fof(f3244,plain,
( sK0 = sK1
| rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK0),vf(sK2,sK1)) ),
inference(forward_subsumption_resolution,[],[f3242,f628]) ).
fof(f3245,plain,
( rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK1),vf(sK2,sK0)) ),
inference(forward_subsumption_resolution,[],[f3243,f626]) ).
fof(f3246,plain,
( rpoint(sK2)
| vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK0),vf(sK2,sK1)) ),
inference(forward_subsumption_resolution,[],[f3244,f626]) ).
fof(f3247,plain,
( vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK1),vf(sK2,sK0)) ),
inference(forward_subsumption_resolution,[],[f3245,f1837]) ).
fof(f3248,plain,
( vf(sK2,sK1) = vf(sK2,sK0)
| rless(vf(sK2,sK0),vf(sK2,sK1)) ),
inference(forward_subsumption_resolution,[],[f3246,f1837]) ).
fof(f3249,plain,
rless(vf(sK2,sK1),vf(sK2,sK0)),
inference(forward_subsumption_resolution,[],[f3247,f624]) ).
fof(f3250,plain,
rless(vf(sK2,sK0),vf(sK2,sK1)),
inference(forward_subsumption_resolution,[],[f3248,f624]) ).
fof(f3259,plain,
( ~ rreal(vf(sK2,sK1))
| ~ rless(vf(sK2,sK1),vf(sK2,sK0))
| vf(sK2,sK1) = vf(sK2,sK0)
| ~ rreal(vf(sK2,sK0)) ),
inference(resolution,[],[f3250,f1912]) ).
fof(f3260,plain,
( ~ rless(vf(sK2,sK1),vf(sK2,sK0))
| vf(sK2,sK1) = vf(sK2,sK0)
| ~ rreal(vf(sK2,sK0)) ),
inference(forward_subsumption_resolution,[],[f3259,f2746]) ).
fof(f3262,plain,
( vf(sK2,sK1) = vf(sK2,sK0)
| ~ rreal(vf(sK2,sK0)) ),
inference(forward_subsumption_resolution,[],[f3260,f3249]) ).
fof(f3264,plain,
~ rreal(vf(sK2,sK0)),
inference(forward_subsumption_resolution,[],[f3262,f624]) ).
fof(f3265,plain,
$false,
inference(forward_subsumption_resolution,[],[f3264,f2646]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO331+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 08:07:35 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.54 % (3081585)Will run a generic schedule for satisfiability detection.
% 0.16/0.54 % (3081593)dis+10_1_sil=32000:sp=arity:random_seed=1687397537:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.54 % (3081591)% WARNING: option uhcvi not known.
% 0.16/0.54 % (3081592)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1974986475:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.54 % (3081590)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=822607018_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.54 % (3081591)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1329594722:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.54 % (3081594)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3639539394:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.54 % (3081595)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3813369841:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.54 % (3081596)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3656474126:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.54 % (3081593)Instruction limit reached!
% 0.16/0.54 % (3081593)------------------------------
% 0.16/0.54 % (3081593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54 % (3081593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54 % (3081593)CaDiCaL version: 2.1.3
% 0.16/0.54 % (3081593)Termination reason: Instruction limit
% 0.16/0.54 % (3081593)Termination phase: Saturation
% 0.16/0.54 % (3081593)Time elapsed: 0.032 s
% 0.16/0.54 % (3081593)Peak memory usage: 13 MB
% 0.16/0.54 % (3081593)Instructions burned: 106 (million)
% 0.16/0.54 % (3081604)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3770902244:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.54 % Detected minimum model sizes of [3]
% 0.16/0.54 % Detected maximum model sizes of [max]
% 0.16/0.54 % (3081590)Cannot represent all propositional literals internally
% 0.16/0.54 % (3081590)Refutation not found, incomplete strategy
% 0.16/0.54 % (3081590)------------------------------
% 0.16/0.54 % (3081590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54 % (3081590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54 % (3081590)CaDiCaL version: 2.1.3
% 0.16/0.54 % (3081590)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.54 % (3081590)Time elapsed: 0.046 s
% 0.16/0.54 % (3081590)Peak memory usage: 12 MB
% 0.16/0.54 % (3081590)Instructions burned: 95 (million)
% 0.16/0.54 % (3081590)------------------------------
% 0.16/0.54 % (3081590)------------------------------
% 0.16/0.54 % Detected minimum model sizes of [3]
% 0.16/0.54 % Detected maximum model sizes of [max]
% 0.16/0.54 % (3081604)Cannot represent all propositional literals internally
% 0.16/0.54 % (3081604)Refutation not found, incomplete strategy
% 0.16/0.54 % (3081604)------------------------------
% 0.16/0.54 % (3081604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54 % (3081604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54 % (3081604)CaDiCaL version: 2.1.3
% 0.16/0.54 % (3081604)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.54 % (3081604)Time elapsed: 0.016 s
% 0.16/0.54 % (3081604)Peak memory usage: 12 MB
% 0.16/0.54 % (3081604)Instructions burned: 61 (million)
% 0.16/0.54 % (3081604)------------------------------
% 0.16/0.54 % (3081604)------------------------------
% 0.16/0.54 % (3081594)Instruction limit reached!
% 0.16/0.54 % (3081594)------------------------------
% 0.16/0.54 % (3081594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54 % (3081594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54 % (3081594)CaDiCaL version: 2.1.3
% 0.16/0.54 % (3081594)Termination reason: Instruction limit
% 0.16/0.54 % (3081594)Termination phase: Saturation
% 0.16/0.54 % (3081594)Time elapsed: 0.058 s
% 0.16/0.54 % (3081594)Peak memory usage: 13 MB
% 0.16/0.54 % (3081594)Instructions burned: 117 (million)
% 0.16/0.54 % (3081595)Instruction limit reached!
% 0.16/0.54 % (3081595)------------------------------
% 0.16/0.54 % (3081595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54 % (3081595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54 % (3081595)CaDiCaL version: 2.1.3
% 0.16/0.54 % (3081595)Termination reason: Instruction limit
% 0.16/0.54 % (3081595)Termination phase: Saturation
% 0.16/0.54 % (3081595)Time elapsed: 0.061 s
% 0.16/0.54 % (3081595)Peak memory usage: 13 MB
% 0.16/0.54 % (3081595)Instructions burned: 131 (million)
% 0.16/0.54 % (3081607)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2038621406:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.16/0.54 % (3081606)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3578680055:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.54 % (3081591) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3081585-3081591"...
% 0.16/0.54 % (3081591)...printing done.
% 0.16/0.54 % (3081591)Refutation found. Thanks to Tanya!
% 0.16/0.54 % SZS status Theorem for theBenchmark
% 0.16/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.55 % (3081591)------------------------------
% 0.16/0.55 % (3081591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.55 % (3081591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.55 % (3081591)CaDiCaL version: 2.1.3
% 0.16/0.55 % (3081591)Termination reason: Refutation
% 0.16/0.55 % (3081591)Time elapsed: 0.075 s
% 0.16/0.55 % (3081591)Peak memory usage: 14 MB
% 0.16/0.55 % (3081591)Instructions burned: 132 (million)
% 0.16/0.55 % (3081585)Success in time 0.117 s
% 0.16/0.55 % Vampire exiting
%------------------------------------------------------------------------------