%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO275+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:52:19 AM UTC 2026
% Result : Theorem 3.99s 1.54s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 129 ( 37 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 164 ( 71 ~; 63 |; 27 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 57 ( 51 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ron(vd1081,X0)
& rcenter(vd1080,X0)
& rcircle(X0) )
=> X0 = vd1095 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(228), 1), imp(the(228)))') ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ron(vd1081,X0)
& rcenter(vd1080,X0)
& rcircle(X0) )
=> X0 = vd1095 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ron(vd1081,vd1095)
& rcenter(vd1080,vd1095)
& rcircle(vd1095) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))') ).
fof(f8,axiom,
? [X0] :
( vd1081 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(224)))') ).
fof(f9,axiom,
? [X0] :
( vd1080 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).
fof(f107,axiom,
! [X0,X1,X2,X3,X4] :
( ( vf(X2,X0) = vf(X2,X1)
& ron(X1,X4)
& ron(X0,X3)
& rcenter(X2,X4)
& rcenter(X2,X3)
& ? [X5] :
( X1 = X5
& rpoint(X5) )
& ? [X6] :
( X0 = X6
& rpoint(X6) ) )
=> X3 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f122,plain,
? [X0] :
( vd1095 != X0
& ron(vd1081,X0)
& rcenter(vd1080,X0)
& rcircle(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f123,plain,
? [X0] :
( vd1095 != X0
& ron(vd1081,X0)
& rcenter(vd1080,X0)
& rcircle(X0) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(flattening,[],[f124]) ).
fof(f260,plain,
( vd1095 != sK0
& ron(vd1081,sK0)
& rcenter(vd1080,sK0)
& rcircle(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f123]) ).
fof(f261,plain,
( vd1081 = sK1
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f8]) ).
fof(f262,plain,
( vd1080 = sK2
& rpoint(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f9]) ).
fof(f316,plain,
rcenter(vd1080,sK0),
inference(cnf_transformation,[],[f260]) ).
fof(f317,plain,
ron(vd1081,sK0),
inference(cnf_transformation,[],[f260]) ).
fof(f318,plain,
vd1095 != sK0,
inference(cnf_transformation,[],[f260]) ).
fof(f320,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f261]) ).
fof(f321,plain,
vd1081 = sK1,
inference(cnf_transformation,[],[f261]) ).
fof(f324,plain,
vd1080 = sK2,
inference(cnf_transformation,[],[f262]) ).
fof(f325,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| X1 != X5
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(cnf_transformation,[],[f125]) ).
fof(f347,plain,
rcenter(vd1080,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f348,plain,
ron(vd1081,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f499,plain,
ron(sK1,sK0),
inference(definition_unfolding,[],[f317,f321]) ).
fof(f500,plain,
rcenter(sK2,sK0),
inference(definition_unfolding,[],[f316,f324]) ).
fof(f503,plain,
ron(sK1,vd1095),
inference(definition_unfolding,[],[f348,f321]) ).
fof(f504,plain,
rcenter(sK2,vd1095),
inference(definition_unfolding,[],[f347,f324]) ).
fof(f508,plain,
! [X2,X3,X0,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X5)
| ~ ron(X5,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f325]) ).
fof(f509,plain,
! [X2,X3,X6,X4,X5] :
( vf(X2,X5) != vf(X2,X6)
| X3 = X4
| ~ ron(X5,X4)
| ~ ron(X6,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f508]) ).
fof(f2137,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ ron(X2,X1)
| ~ ron(X2,X0)
| ~ rcenter(X3,X1)
| ~ rcenter(X3,X0)
| ~ rpoint(X2)
| ~ rpoint(X2) ),
inference(equality_resolution,[],[f509]) ).
fof(f2138,plain,
! [X2,X3,X0,X1] :
( ~ rcenter(X3,X1)
| ~ ron(X2,X1)
| ~ ron(X2,X0)
| X0 = X1
| ~ rcenter(X3,X0)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2137]) ).
fof(f2175,plain,
! [X0,X1] :
( ~ rcenter(sK2,X1)
| ~ ron(X0,X1)
| sK0 = X1
| ~ ron(X0,sK0)
| ~ rpoint(X0) ),
inference(resolution,[],[f2138,f500]) ).
fof(f2182,plain,
! [X0] :
( ~ ron(X0,vd1095)
| vd1095 = sK0
| ~ ron(X0,sK0)
| ~ rpoint(X0) ),
inference(resolution,[],[f2175,f504]) ).
fof(f2186,plain,
! [X0] :
( ~ ron(X0,sK0)
| ~ ron(X0,vd1095)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2182,f318]) ).
fof(f2271,plain,
( ~ ron(sK1,vd1095)
| ~ rpoint(sK1) ),
inference(resolution,[],[f2186,f499]) ).
fof(f2318,plain,
~ rpoint(sK1),
inference(forward_subsumption_resolution,[],[f2271,f503]) ).
fof(f2321,plain,
$false,
inference(forward_subsumption_resolution,[],[f2318,f320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO275+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 08:01:30 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.99/1.54 % (1330490)Detected formulas, will run a generic FOF schedule.
% 3.99/1.54 % (1330498)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4151949704:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.99/1.54 % (1330498)Refutation not found, incomplete strategy
% 3.99/1.54 % (1330498)------------------------------
% 3.99/1.54 % (1330498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.54 % (1330498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.54 % (1330498)CaDiCaL version: 2.1.3
% 3.99/1.54 % (1330498)Termination reason: Refutation not found, incomplete strategy
% 3.99/1.54 % (1330498)Time elapsed: 0.002 s
% 3.99/1.54 % (1330498)Peak memory usage: 88 MB
% 3.99/1.54 % (1330498)Instructions burned: 3 (million)
% 3.99/1.54 % (1330496)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2134814040:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.99/1.54 % (1330497)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2441686496:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.99/1.54 % (1330500)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=462913188:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.99/1.54 % (1330495)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3565792539:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.99/1.54 % (1330499)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1218859163:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.99/1.54 % (1330501)dis-21_1_sil=8000:lcm=predicate:random_seed=1916505875:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.99/1.54 % (1330499)First to succeed.
% 3.99/1.54 % (1330499)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1330490"
% 3.99/1.54 % (1330500)Also succeeded, but the first one will report.
% 3.99/1.54 % (1330501)Instruction limit reached!
% 3.99/1.54 % (1330501)------------------------------
% 3.99/1.54 % (1330501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.54 % (1330501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.54 % (1330501)CaDiCaL version: 2.1.3
% 3.99/1.54 % (1330501)Termination reason: Instruction limit
% 3.99/1.54 % (1330501)Termination phase: Saturation
% 3.99/1.54 % (1330501)Time elapsed: 0.073 s
% 3.99/1.54 % (1330501)Peak memory usage: 91 MB
% 3.99/1.54 % (1330501)Instructions burned: 130 (million)
% 3.99/1.54 % (1330498)------------------------------
% 3.99/1.54 % (1330498)------------------------------
% 3.99/1.54 % (1330509)lrs+10_1_sil=8000:sp=occurrence:random_seed=3804572602:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.99/1.54 % (1330510)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4215381009:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.99/1.54 % (1330510)Also succeeded, but the first one will report.
% 3.99/1.54 % (1330499)Refutation found. Thanks to Tanya!
% 3.99/1.54 % SZS status Theorem for theBenchmark
% 3.99/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 3.99/1.54 % (1330499)------------------------------
% 3.99/1.54 % (1330499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.54 % (1330499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.54 % (1330499)CaDiCaL version: 2.1.3
% 3.99/1.54 % (1330499)Termination reason: Refutation
% 3.99/1.54 % (1330499)Time elapsed: 0.044 s
% 3.99/1.54 % (1330499)Peak memory usage: 89 MB
% 3.99/1.54 % (1330499)Instructions burned: 80 (million)
% 3.99/1.54 % (1330499)------------------------------
% 3.99/1.54 % (1330499)------------------------------
% 3.99/1.54 % (1330490)Success in time 0.486 s
% 3.99/1.54 % Vampire exiting
%------------------------------------------------------------------------------