%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO300+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 : n014.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 0.37s 0.49s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 20 unt; 1 def)
% Number of atoms : 160 ( 69 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 196 ( 75 ~; 54 |; 65 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 52 ( 0 sgn 35 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1185,vd1201) = vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(331, 1260, 0)') ).
fof(f2,negated_conjecture,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rR(vd1187,vd1185,vd1201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(330, 1259, 0)') ).
fof(f6,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(f8,axiom,
? [X0] :
( vd1201 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f9,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(f163,plain,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(flattening,[],[f2]) ).
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(ennf_transformation,[],[f6]) ).
fof(f169,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,[],[f168]) ).
fof(f170,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,[],[f9]) ).
fof(f385,plain,
( vd1201 = sK1
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f8]) ).
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 = sK2
& rpoint(sK2)
& vd1186 = sK3
& rpoint(sK3)
& vd1185 = sK4
& rpoint(sK4)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = sK5
& rpoint(sK5)
& vd1179 = sK6
& rpoint(sK6)
& vd1178 = sK7
& rpoint(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6),skolemize(X6,sK7)],[f170]) ).
fof(f461,plain,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(cnf_transformation,[],[f163]) ).
fof(f462,plain,
rR(vd1187,vd1185,vd1201),
inference(cnf_transformation,[],[f3]) ).
fof(f465,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,[],[f169]) ).
fof(f467,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f385]) ).
fof(f468,plain,
vd1201 = sK1,
inference(cnf_transformation,[],[f385]) ).
fof(f478,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f386]) ).
fof(f479,plain,
vd1185 = sK4,
inference(cnf_transformation,[],[f386]) ).
fof(f482,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f386]) ).
fof(f483,plain,
vd1187 = sK2,
inference(cnf_transformation,[],[f386]) ).
fof(f766,plain,
vf(sK4,sK1) != vplus(vf(sK4,sK2),vf(sK2,sK1)),
inference(definition_unfolding,[],[f461,f479,f468,f479,f483,f483,f468]) ).
fof(f767,plain,
rR(sK2,sK4,sK1),
inference(definition_unfolding,[],[f462,f483,f479,f468]) ).
fof(f826,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,[],[f465]) ).
fof(f827,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,[],[f826]) ).
fof(f828,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,[],[f827]) ).
fof(f1608,definition,
( spl55_19
<=> rR(sK2,sK4,sK1) ),
introduced(definition,[new_symbols(definition,[spl55_19])],[avatar_definition]) ).
fof(f1610,plain,
( rR(sK2,sK4,sK1)
| ~ spl55_19 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f1617,plain,
spl55_19,
inference(avatar_split_clause,[],[f767,f1608]) ).
fof(f2896,plain,
( vf(sK4,sK1) = vplus(vf(sK4,sK2),vf(sK2,sK1))
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK4)
| ~ spl55_19 ),
inference(resolution,[],[f828,f1610]) ).
fof(f2899,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK4)
| ~ spl55_19 ),
inference(forward_subsumption_resolution,[],[f2896,f766]) ).
fof(f2901,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK4)
| ~ spl55_19 ),
inference(forward_subsumption_resolution,[],[f2899,f467]) ).
fof(f2903,plain,
( ~ rpoint(sK4)
| ~ spl55_19 ),
inference(forward_subsumption_resolution,[],[f2901,f482]) ).
fof(f2904,plain,
( $false
| ~ spl55_19 ),
inference(forward_subsumption_resolution,[],[f2903,f478]) ).
fof(f2905,plain,
~ spl55_19,
inference(avatar_contradiction_clause,[],[f2904]) ).
cnf(s25,plain,
spl55_19,
inference(sat_conversion,[],[f1617]) ).
cnf(s44,plain,
~ spl55_19,
inference(sat_conversion,[],[f2905]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s25,s44]) ).
fof(f2906,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO300+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 08:01:01 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 0.37/0.49 % (485752)Will run a generic schedule for satisfiability detection.
% 0.37/0.49 % (485763)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2408826484:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.49 % (485757)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2564746509_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.49 % (485758)% WARNING: option uhcvi not known.
% 0.37/0.49 % (485760)dis+10_1_sil=32000:sp=arity:random_seed=1594857200:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.49 % (485759)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=948578806:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.49 % (485761)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2827317228:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.49 % (485762)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1964431654:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.49 % (485758)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1840374869:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.49 % Detected minimum model sizes of [3]
% 0.37/0.49 % Detected maximum model sizes of [max]
% 0.37/0.49 % (485757)Cannot represent all propositional literals internally
% 0.37/0.49 % (485757)Refutation not found, incomplete strategy
% 0.37/0.49 % (485757)------------------------------
% 0.37/0.49 % (485757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.49 % (485757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.49 % (485757)CaDiCaL version: 2.1.3
% 0.37/0.49 % (485757)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.49 % (485757)Time elapsed: 0.036 s
% 0.37/0.49 % (485757)Peak memory usage: 12 MB
% 0.37/0.49 % (485757)Instructions burned: 73 (million)
% 0.37/0.49 % (485757)------------------------------
% 0.37/0.49 % (485757)------------------------------
% 0.37/0.49 % (485763)Instruction limit reached!
% 0.37/0.49 % (485763)------------------------------
% 0.37/0.49 % (485763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.49 % (485763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.49 % (485763)CaDiCaL version: 2.1.3
% 0.37/0.49 % (485763)Termination reason: Instruction limit
% 0.37/0.49 % (485763)Termination phase: Saturation
% 0.37/0.49 % (485763)Time elapsed: 0.050 s
% 0.37/0.49 % (485763)Peak memory usage: 15 MB
% 0.37/0.49 % (485763)Instructions burned: 159 (million)
% 0.37/0.49 % (485760) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-485752-485760"...
% 0.37/0.49 % (485760)...printing done.
% 0.37/0.49 % (485760)Refutation found. Thanks to Tanya!
% 0.37/0.49 % SZS status Theorem for theBenchmark
% 0.37/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.49 % (485760)------------------------------
% 0.37/0.49 % (485760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.49 % (485760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.49 % (485760)CaDiCaL version: 2.1.3
% 0.37/0.49 % (485760)Termination reason: Refutation
% 0.37/0.49 % (485760)Time elapsed: 0.050 s
% 0.37/0.49 % (485760)Peak memory usage: 14 MB
% 0.37/0.49 % (485760)Instructions burned: 86 (million)
% 0.37/0.49 % (485752)Success in time 0.092 s
% 0.37/0.49 % Vampire exiting
%------------------------------------------------------------------------------