%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP774+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 : 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 10:16:10 AM UTC 2026
% Result : Theorem 4.94s 1.63s
% Output : Refutation 6.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 71 ( 47 unt; 2 def)
% Number of atoms : 110 ( 66 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 70 ( 31 ~; 21 |; 13 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn 83 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : product(product(X2,X1),X0) = product(X2,product(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos01) ).
fof(f2,axiom,
! [X0] : product(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos02) ).
fof(f3,axiom,
! [X0,X1] :
( d(X0,X1)
<=> ( product(X0,product(X1,X0)) = X0
& product(X1,product(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos03) ).
fof(f4,conjecture,
! [X0,X1,X2,X3] :
( ( d(X0,X1)
& d(X2,X3) )
=> d(product(X0,X2),product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f5,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( d(X0,X1)
& d(X2,X3) )
=> d(product(X0,X2),product(X1,X3)) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
? [X0,X1,X2,X3] :
( ~ d(product(X0,X2),product(X1,X3))
& d(X0,X1)
& d(X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0,X1,X2,X3] :
( ~ d(product(X0,X2),product(X1,X3))
& d(X0,X1)
& d(X2,X3) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( ( d(X0,X1)
| product(X0,product(X1,X0)) != X0
| product(X1,product(X0,X1)) != X1 )
& ( ( product(X0,product(X1,X0)) = X0
& product(X1,product(X0,X1)) = X1 )
| ~ d(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0,X1] :
( ( d(X0,X1)
| product(X0,product(X1,X0)) != X0
| product(X1,product(X0,X1)) != X1 )
& ( ( product(X0,product(X1,X0)) = X0
& product(X1,product(X0,X1)) = X1 )
| ~ d(X0,X1) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( ~ d(product(sK0,sK2),product(sK1,sK3))
& d(sK0,sK1)
& d(sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f7]) ).
fof(f11,plain,
! [X2,X0,X1] : product(product(X2,X1),X0) = product(X2,product(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f13,plain,
! [X0,X1] :
( ~ d(X0,X1)
| product(X1,product(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
! [X0,X1] :
( ~ d(X0,X1)
| product(X0,product(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X0,X1] :
( d(X0,X1)
| product(X0,product(X1,X0)) != X0
| product(X1,product(X0,X1)) != X1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
d(sK2,sK3),
inference(cnf_transformation,[],[f10]) ).
fof(f17,plain,
d(sK0,sK1),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
~ d(product(sK0,sK2),product(sK1,sK3)),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
sK2 = product(sK2,product(sK3,sK2)),
inference(resolution,[],[f14,f16]) ).
fof(f20,plain,
sK0 = product(sK0,product(sK1,sK0)),
inference(resolution,[],[f14,f17]) ).
fof(f21,plain,
sK3 = product(sK3,product(sK2,sK3)),
inference(resolution,[],[f13,f16]) ).
fof(f22,plain,
sK1 = product(sK1,product(sK0,sK1)),
inference(resolution,[],[f13,f17]) ).
fof(f23,plain,
( product(sK0,sK2) != product(product(sK0,sK2),product(product(sK1,sK3),product(sK0,sK2)))
| product(sK1,sK3) != product(product(sK1,sK3),product(product(sK0,sK2),product(sK1,sK3))) ),
inference(resolution,[],[f15,f18]) ).
fof(f26,plain,
( product(sK0,sK2) != product(sK0,product(sK2,product(product(sK1,sK3),product(sK0,sK2))))
| product(sK1,sK3) != product(product(sK1,sK3),product(product(sK0,sK2),product(sK1,sK3))) ),
inference(forward_demodulation,[],[f23,f11]) ).
fof(f27,plain,
( product(sK0,sK2) != product(sK0,product(sK2,product(sK1,product(sK3,product(sK0,sK2)))))
| product(sK1,sK3) != product(product(sK1,sK3),product(product(sK0,sK2),product(sK1,sK3))) ),
inference(forward_demodulation,[],[f26,f11]) ).
fof(f28,plain,
( product(sK1,sK3) != product(sK1,product(sK3,product(product(sK0,sK2),product(sK1,sK3))))
| product(sK0,sK2) != product(sK0,product(sK2,product(sK1,product(sK3,product(sK0,sK2))))) ),
inference(forward_demodulation,[],[f27,f11]) ).
fof(f29,plain,
( product(sK1,sK3) != product(sK1,product(sK3,product(sK0,product(sK2,product(sK1,sK3)))))
| product(sK0,sK2) != product(sK0,product(sK2,product(sK1,product(sK3,product(sK0,sK2))))) ),
inference(forward_demodulation,[],[f28,f11]) ).
fof(f31,definition,
( spl4_1
<=> product(sK0,sK2) = product(sK0,product(sK2,product(sK1,product(sK3,product(sK0,sK2))))) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f32,plain,
( product(sK0,sK2) != product(sK0,product(sK2,product(sK1,product(sK3,product(sK0,sK2)))))
| spl4_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f34,definition,
( spl4_2
<=> product(sK1,sK3) = product(sK1,product(sK3,product(sK0,product(sK2,product(sK1,sK3))))) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f35,plain,
( product(sK1,sK3) != product(sK1,product(sK3,product(sK0,product(sK2,product(sK1,sK3)))))
| spl4_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f36,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f29,f34,f31]) ).
fof(f37,plain,
! [X0] : product(sK0,product(product(sK1,sK0),X0)) = product(sK0,X0),
inference(superposition,[],[f11,f20]) ).
fof(f38,plain,
! [X0] : product(sK1,product(product(sK0,sK1),X0)) = product(sK1,X0),
inference(superposition,[],[f11,f22]) ).
fof(f39,plain,
! [X0] : product(sK2,product(product(sK3,sK2),X0)) = product(sK2,X0),
inference(superposition,[],[f11,f19]) ).
fof(f40,plain,
! [X0] : product(sK3,product(product(sK2,sK3),X0)) = product(sK3,X0),
inference(superposition,[],[f11,f21]) ).
fof(f43,plain,
! [X0] : product(sK3,X0) = product(sK3,product(sK2,product(sK3,X0))),
inference(forward_demodulation,[],[f40,f11]) ).
fof(f44,plain,
! [X0] : product(sK2,X0) = product(sK2,product(sK3,product(sK2,X0))),
inference(forward_demodulation,[],[f39,f11]) ).
fof(f45,plain,
! [X0] : product(sK1,X0) = product(sK1,product(sK0,product(sK1,X0))),
inference(forward_demodulation,[],[f38,f11]) ).
fof(f46,plain,
! [X0] : product(sK0,X0) = product(sK0,product(sK1,product(sK0,X0))),
inference(forward_demodulation,[],[f37,f11]) ).
fof(f50,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X1,product(X0,X1))),
inference(superposition,[],[f11,f12]) ).
fof(f114,plain,
! [X2,X0,X1] : product(X2,product(X0,X1)) = product(X2,product(X0,product(X1,product(X2,product(X0,X1))))),
inference(superposition,[],[f50,f11]) ).
fof(f182,plain,
! [X2,X3,X0,X1] : product(X2,product(X3,product(X0,X1))) = product(X2,product(X3,product(X0,product(X1,product(X2,product(X3,product(X0,X1))))))),
inference(superposition,[],[f114,f11]) ).
fof(f198,plain,
! [X2,X3,X0,X1] : product(product(X0,product(X1,X2)),X3) = product(X0,product(product(X1,product(X2,product(X0,product(X1,X2)))),X3)),
inference(superposition,[],[f11,f114]) ).
fof(f217,plain,
! [X2,X3,X0,X1] : product(product(X0,product(X1,X2)),X3) = product(X0,product(X1,product(product(X2,product(X0,product(X1,X2))),X3))),
inference(forward_demodulation,[],[f198,f11]) ).
fof(f249,plain,
! [X2,X3,X0,X1] : product(product(X0,product(X1,X2)),X3) = product(X0,product(X1,product(X2,product(product(X0,product(X1,X2)),X3)))),
inference(forward_demodulation,[],[f217,f11]) ).
fof(f264,plain,
! [X2,X3,X0,X1] : product(X0,product(product(X1,X2),X3)) = product(X0,product(X1,product(X2,product(X0,product(product(X1,X2),X3))))),
inference(forward_demodulation,[],[f249,f11]) ).
fof(f272,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(X0,product(X1,product(X2,product(X0,product(X1,product(X2,X3)))))),
inference(forward_demodulation,[],[f264,f11]) ).
fof(f1787,plain,
! [X0,X1] : product(X1,product(sK0,X0)) = product(X1,product(sK0,product(sK1,product(X1,product(sK0,X0))))),
inference(superposition,[],[f272,f46]) ).
fof(f1791,plain,
! [X0,X1] : product(X1,product(sK1,X0)) = product(X1,product(sK1,product(sK0,product(X1,product(sK1,X0))))),
inference(superposition,[],[f272,f45]) ).
fof(f1794,plain,
! [X0] : product(X0,sK2) = product(X0,product(sK2,product(sK3,product(X0,sK2)))),
inference(superposition,[],[f272,f19]) ).
fof(f1795,plain,
! [X0,X1] : product(X1,product(sK2,X0)) = product(X1,product(sK2,product(sK3,product(X1,product(sK2,X0))))),
inference(superposition,[],[f272,f44]) ).
fof(f1798,plain,
! [X0] : product(X0,sK3) = product(X0,product(sK3,product(sK2,product(X0,sK3)))),
inference(superposition,[],[f272,f21]) ).
fof(f1799,plain,
! [X0,X1] : product(X1,product(sK3,X0)) = product(X1,product(sK3,product(sK2,product(X1,product(sK3,X0))))),
inference(superposition,[],[f272,f43]) ).
fof(f2684,plain,
! [X0,X1] : product(X0,product(sK0,product(sK1,product(X0,product(sK0,X1))))) = product(X0,product(sK0,product(X1,product(sK1,product(X0,product(sK0,X1)))))),
inference(superposition,[],[f1787,f182]) ).
fof(f2758,plain,
! [X0,X1] : product(X0,product(sK0,X1)) = product(X0,product(sK0,product(X1,product(sK1,product(X0,product(sK0,X1)))))),
inference(forward_demodulation,[],[f2684,f1787]) ).
fof(f2859,plain,
! [X0,X1] : product(X0,product(sK1,product(sK0,product(X0,product(sK1,X1))))) = product(X0,product(sK1,product(X1,product(sK0,product(X0,product(sK1,X1)))))),
inference(superposition,[],[f1791,f182]) ).
fof(f2934,plain,
! [X0,X1] : product(X0,product(sK1,X1)) = product(X0,product(sK1,product(X1,product(sK0,product(X0,product(sK1,X1)))))),
inference(forward_demodulation,[],[f2859,f1791]) ).
fof(f4726,plain,
product(sK0,product(sK2,product(sK1,product(sK3,product(sK0,sK2))))) = product(sK0,product(sK2,product(sK3,product(sK0,sK2)))),
inference(superposition,[],[f1795,f2758]) ).
fof(f4735,plain,
product(sK0,sK2) = product(sK0,product(sK2,product(sK1,product(sK3,product(sK0,sK2))))),
inference(forward_demodulation,[],[f4726,f1794]) ).
fof(f4824,plain,
( $false
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f4735,f32]) ).
fof(f4825,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f4824]) ).
fof(f5360,plain,
product(sK1,product(sK3,product(sK0,product(sK2,product(sK1,sK3))))) = product(sK1,product(sK3,product(sK2,product(sK1,sK3)))),
inference(superposition,[],[f1799,f2934]) ).
fof(f5377,plain,
product(sK1,sK3) = product(sK1,product(sK3,product(sK0,product(sK2,product(sK1,sK3))))),
inference(forward_demodulation,[],[f5360,f1798]) ).
fof(f5471,plain,
( $false
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f5377,f35]) ).
fof(f5472,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f5471]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f36]) ).
cnf(s2,plain,
spl4_1,
inference(sat_conversion,[],[f4825]) ).
cnf(s3,plain,
spl4_2,
inference(sat_conversion,[],[f5472]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f5705,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP774+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:43:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 4.94/1.63 % (610202)Detected formulas, will run a generic FOF schedule.
% 4.94/1.63 % (610208)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=966944203:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.94/1.63 % (610213)dis-21_1_sil=8000:lcm=predicate:random_seed=1071438902: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)
% 4.94/1.63 % (610207)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=4135823146:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.94/1.63 % (610211)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3107276142:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.94/1.63 % (610210)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2022615796:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.94/1.63 % (610212)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=153851646:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.94/1.63 % (610209)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=4166640621:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.94/1.63 % (610210)Refutation not found, incomplete strategy
% 4.94/1.63 % (610210)------------------------------
% 4.94/1.63 % (610210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (610210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (610210)CaDiCaL version: 2.1.3
% 4.94/1.63 % (610210)Termination reason: Refutation not found, incomplete strategy
% 4.94/1.63 % (610210)Time elapsed: 0.001 s
% 4.94/1.63 % (610210)Peak memory usage: 88 MB
% 4.94/1.63 % (610213)Refutation not found, incomplete strategy
% 4.94/1.63 % (610213)------------------------------
% 4.94/1.63 % (610213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (610213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (610213)CaDiCaL version: 2.1.3
% 4.94/1.63 % (610213)Termination reason: Refutation not found, incomplete strategy
% 4.94/1.63 % (610213)Time elapsed: 0.001 s
% 4.94/1.63 % (610213)Peak memory usage: 88 MB
% 4.94/1.63 % (610211)Instruction limit reached!
% 4.94/1.63 % (610211)------------------------------
% 4.94/1.63 % (610211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (610211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (610211)CaDiCaL version: 2.1.3
% 4.94/1.63 % (610211)Termination reason: Instruction limit
% 4.94/1.63 % (610211)Termination phase: Saturation
% 4.94/1.63 % (610211)Time elapsed: 0.062 s
% 4.94/1.63 % (610211)Peak memory usage: 88 MB
% 4.94/1.63 % (610211)Instructions burned: 120 (million)
% 4.94/1.63 % (610212)Instruction limit reached!
% 4.94/1.63 % (610212)------------------------------
% 4.94/1.63 % (610212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (610212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (610212)CaDiCaL version: 2.1.3
% 4.94/1.63 % (610212)Termination reason: Instruction limit
% 4.94/1.63 % (610212)Termination phase: Saturation
% 4.94/1.63 % (610212)Time elapsed: 0.078 s
% 4.94/1.63 % (610212)Peak memory usage: 90 MB
% 4.94/1.63 % (610212)Instructions burned: 140 (million)
% 4.94/1.63 % (610222)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4293385422:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.94/1.63 % (610221)lrs+10_1_sil=8000:sp=occurrence:random_seed=585147883:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.94/1.63 % (610213)------------------------------
% 4.94/1.63 % (610213)------------------------------
% 4.94/1.63 % (610210)------------------------------
% 4.94/1.63 % (610210)------------------------------
% 4.94/1.63 % (610222)Instruction limit reached!
% 4.94/1.63 % (610222)------------------------------
% 4.94/1.63 % (610222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (610222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (610222)CaDiCaL version: 2.1.3
% 4.94/1.63 % (610222)Termination reason: Instruction limit
% 4.94/1.63 % (610222)Termination phase: Saturation
% 4.94/1.63 % (610222)Time elapsed: 0.088 s
% 4.94/1.63 % (610222)Peak memory usage: 89 MB
% 4.94/1.63 % (610222)Instructions burned: 158 (million)
% 4.94/1.63 % (610221)Instruction limit reached!
% 4.94/1.63 % (610221)------------------------------
% 4.94/1.63 % (610221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (610221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (610221)CaDiCaL version: 2.1.3
% 4.94/1.63 % (610221)Termination reason: Instruction limit
% 4.94/1.63 % (610221)Termination phase: Saturation
% 4.94/1.63 % (610221)Time elapsed: 0.160 s
% 4.94/1.63 % (610221)Peak memory usage: 90 MB
% 4.94/1.63 % (610221)Instructions burned: 286 (million)
% 4.94/1.63 % (610226)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4033923435:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.94/1.63 % (610225)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3995909742:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.94/1.63 % (610208)First to succeed.
% 4.94/1.63 % (610208)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-610202"
% 4.94/1.63 % (610227)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1293826874:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.94/1.63 % (610227)Refutation not found, incomplete strategy
% 4.94/1.63 % (610227)------------------------------
% 4.94/1.63 % (610227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (610227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (610227)CaDiCaL version: 2.1.3
% 4.94/1.63 % (610227)Termination reason: Refutation not found, incomplete strategy
% 4.94/1.63 % (610227)Time elapsed: 0.001 s
% 4.94/1.63 % (610227)Peak memory usage: 88 MB
% 4.94/1.63 % (610228)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1030936987:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.94/1.63 % (610226)Instruction limit reached!
% 4.94/1.63 % (610226)------------------------------
% 4.94/1.63 % (610226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (610226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (610226)CaDiCaL version: 2.1.3
% 4.94/1.63 % (610226)Termination reason: Instruction limit
% 4.94/1.63 % (610226)Termination phase: Saturation
% 4.94/1.63 % (610226)Time elapsed: 0.154 s
% 4.94/1.63 % (610226)Peak memory usage: 92 MB
% 4.94/1.63 % (610226)Instructions burned: 249 (million)
% 4.94/1.63 % (610225)Instruction limit reached!
% 4.94/1.63 % (610225)------------------------------
% 4.94/1.63 % (610225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (610225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (610225)CaDiCaL version: 2.1.3
% 4.94/1.63 % (610225)Termination reason: Instruction limit
% 4.94/1.63 % (610225)Termination phase: Saturation
% 4.94/1.63 % (610225)Time elapsed: 0.178 s
% 4.94/1.63 % (610225)Peak memory usage: 90 MB
% 4.94/1.63 % (610225)Instructions burned: 326 (million)
% 4.94/1.63 % (610208)Refutation found. Thanks to Tanya!
% 4.94/1.63 % SZS status Theorem for theBenchmark
% 4.94/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 6.07/1.83 % (610208)------------------------------
% 6.07/1.83 % (610208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.83 % (610208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.83 % (610208)CaDiCaL version: 2.1.3
% 6.07/1.83 % (610208)Termination reason: Refutation
% 6.07/1.83 % (610208)Time elapsed: 0.487 s
% 6.07/1.83 % (610208)Peak memory usage: 133 MB
% 6.07/1.83 % (610208)Instructions burned: 1333 (million)
% 6.07/1.83 % (610208)------------------------------
% 6.07/1.83 % (610208)------------------------------
% 6.07/1.83 % (610202)Success in time 0.773 s
% 6.07/1.83 % Vampire exiting
%------------------------------------------------------------------------------