%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO299+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 : n008.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 09:54:23 AM UTC 2026
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 25 unt; 2 def)
% Number of atoms : 187 ( 78 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 223 ( 88 ~; 65 |; 67 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 53 ( 0 sgn 35 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1185,vd1187) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(324, 1255, 0)') ).
fof(f2,negated_conjecture,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rR(vd1201,vd1185,vd1187),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(323, 1254, 0)') ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f22,axiom,
? [X0] :
( vd1201 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f23,axiom,
? [X0] :
( vd1199 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof(f26,axiom,
( ~ ? [X0] :
( ron(vd1187,X0)
& ron(vd1186,X0)
& ron(vd1185,X0)
& rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f68,axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).
fof(f162,plain,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(flattening,[],[f2]) ).
fof(f167,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f168,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f167]) ).
fof(f175,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f384,plain,
( vd1201 = sK1
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f22]) ).
fof(f385,plain,
( vd1199 = sK2
& rpoint(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f23]) ).
fof(f386,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = sK3
& rpoint(sK3)
& vd1186 = sK4
& rpoint(sK4)
& vd1185 = sK5
& rpoint(sK5)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = sK6
& rpoint(sK6)
& vd1179 = sK7
& rpoint(sK7)
& vd1178 = sK8
& rpoint(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6),skolemize(X5,sK7),skolemize(X6,sK8)],[f175]) ).
fof(f460,plain,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(cnf_transformation,[],[f162]) ).
fof(f461,plain,
rR(vd1201,vd1185,vd1187),
inference(cnf_transformation,[],[f3]) ).
fof(f466,plain,
! [X2,X3,X0,X1,X4,X5] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f168]) ).
fof(f480,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f384]) ).
fof(f481,plain,
vd1201 = sK1,
inference(cnf_transformation,[],[f384]) ).
fof(f482,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f385]) ).
fof(f483,plain,
vd1199 = sK2,
inference(cnf_transformation,[],[f385]) ).
fof(f496,plain,
vd1185 = sK5,
inference(cnf_transformation,[],[f386]) ).
fof(f499,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f386]) ).
fof(f500,plain,
vd1187 = sK3,
inference(cnf_transformation,[],[f386]) ).
fof(f558,plain,
vd1185 = vd1199,
inference(cnf_transformation,[],[f68]) ).
fof(f765,plain,
vf(sK5,sK3) != vplus(vf(sK5,sK1),vf(sK1,sK3)),
inference(definition_unfolding,[],[f460,f496,f500,f496,f481,f481,f500]) ).
fof(f766,plain,
rR(sK1,sK5,sK3),
inference(definition_unfolding,[],[f461,f481,f496,f500]) ).
fof(f816,plain,
sK2 = sK5,
inference(definition_unfolding,[],[f558,f496,f483]) ).
fof(f824,plain,
! [X3,X0,X1,X4,X5] :
( vplus(vf(X0,X1),vf(X1,X3)) = vf(X0,X3)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f466]) ).
fof(f825,plain,
! [X3,X0,X4,X5] :
( vf(X0,X3) = vplus(vf(X0,X4),vf(X4,X3))
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f824]) ).
fof(f826,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| vf(X5,X3) = vplus(vf(X5,X4),vf(X4,X3))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f825]) ).
fof(f1573,definition,
( spl55_13
<=> sK2 = sK5 ),
introduced(definition,[new_symbols(definition,[spl55_13])],[avatar_definition]) ).
fof(f1575,plain,
( sK2 = sK5
| ~ spl55_13 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f1608,definition,
( spl55_20
<=> rR(sK1,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl55_20])],[avatar_definition]) ).
fof(f1610,plain,
( rR(sK1,sK5,sK3)
| ~ spl55_20 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f1612,plain,
spl55_20,
inference(avatar_split_clause,[],[f766,f1608]) ).
fof(f1621,plain,
spl55_13,
inference(avatar_split_clause,[],[f816,f1573]) ).
fof(f1626,plain,
( vf(sK2,sK3) != vplus(vf(sK2,sK1),vf(sK1,sK3))
| ~ spl55_13 ),
inference(superposition,[],[f765,f1575]) ).
fof(f1630,plain,
( rR(sK1,sK2,sK3)
| ~ spl55_13
| ~ spl55_20 ),
inference(forward_demodulation,[],[f1610,f1575]) ).
fof(f2921,plain,
( vf(sK2,sK3) = vplus(vf(sK2,sK1),vf(sK1,sK3))
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl55_13
| ~ spl55_20 ),
inference(resolution,[],[f826,f1630]) ).
fof(f2924,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl55_13
| ~ spl55_20 ),
inference(forward_subsumption_resolution,[],[f2921,f1626]) ).
fof(f2926,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl55_13
| ~ spl55_20 ),
inference(forward_subsumption_resolution,[],[f2924,f499]) ).
fof(f2928,plain,
( ~ rpoint(sK2)
| ~ spl55_13
| ~ spl55_20 ),
inference(forward_subsumption_resolution,[],[f2926,f480]) ).
fof(f2929,plain,
( $false
| ~ spl55_13
| ~ spl55_20 ),
inference(forward_subsumption_resolution,[],[f2928,f482]) ).
fof(f2930,plain,
( ~ spl55_13
| ~ spl55_20 ),
inference(avatar_contradiction_clause,[],[f2929]) ).
cnf(s22,plain,
spl55_20,
inference(sat_conversion,[],[f1612]) ).
cnf(s28,plain,
spl55_13,
inference(sat_conversion,[],[f1621]) ).
cnf(s47,plain,
( ~ spl55_13
| ~ spl55_20 ),
inference(sat_conversion,[],[f2930]) ).
cnf(s55,plain,
~ spl55_20,
inference(rat,[],[s47,s28]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s22,s55]) ).
fof(f2931,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO299+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:02:09 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.18/0.52 % (904262)Will run a generic schedule for satisfiability detection.
% 0.18/0.52 % (904269)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3640291030:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.52 % (904268)% WARNING: option uhcvi not known.
% 0.18/0.52 % (904268)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2239263287:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.52 % (904267)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=822244235_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.52 % (904270)dis+10_1_sil=32000:sp=arity:random_seed=1493310435:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.52 % (904271)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=227136632:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.52 % (904273)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1735970544:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.52 % (904272)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1938999621:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.52 % Detected minimum model sizes of [3]
% 0.18/0.52 % Detected maximum model sizes of [max]
% 0.18/0.52 % (904267)Cannot represent all propositional literals internally
% 0.18/0.52 % (904267)Refutation not found, incomplete strategy
% 0.18/0.52 % (904267)------------------------------
% 0.18/0.52 % (904267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.52 % (904267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.52 % (904267)CaDiCaL version: 2.1.3
% 0.18/0.52 % (904267)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52 % (904267)Time elapsed: 0.036 s
% 0.18/0.52 % (904267)Peak memory usage: 12 MB
% 0.18/0.52 % (904267)Instructions burned: 74 (million)
% 0.18/0.52 % (904267)------------------------------
% 0.18/0.52 % (904267)------------------------------
% 0.18/0.52 % (904270) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-904262-904270"...
% 0.18/0.52 % (904270)...printing done.
% 0.18/0.52 % (904270)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (904270)------------------------------
% 0.18/0.52 % (904270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.52 % (904270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.52 % (904270)CaDiCaL version: 2.1.3
% 0.18/0.52 % (904270)Termination reason: Refutation
% 0.18/0.52 % (904270)Time elapsed: 0.049 s
% 0.18/0.52 % (904270)Peak memory usage: 14 MB
% 0.18/0.52 % (904270)Instructions burned: 87 (million)
% 0.18/0.52 % (904262)Success in time 0.097 s
% 0.18/0.52 % Vampire exiting
%------------------------------------------------------------------------------