%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO511+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:52:49 AM UTC 2026
% Result : Theorem 8.22s 1.94s
% Output : Refutation 8.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 15 unt; 1 def)
% Number of atoms : 155 ( 16 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 226 ( 112 ~; 102 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-5 aty)
% Number of variables : 89 ( 83 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f109,axiom,
! [X0,X1,X2,X3] :
( ~ s_m(X0,X1,X2)
| ~ s_m(X0,X3,X2)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_17) ).
fof(f146,axiom,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_22) ).
fof(f147,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X0,X1,X1,X2)
| ~ perp(X3,X2,X1,X2)
| ~ s_col(X1,X2,X4)
| ~ s_t(X0,X4,X3)
| ~ s_t(X2,X5,X3)
| ~ s_e(X1,X0,X2,X5)
| X6 != ip(X0,X4,X3,X2,X5)
| s_m(X1,X6,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_24a) ).
fof(f148,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X0,X1,X1,X2)
| ~ perp(X3,X2,X1,X2)
| ~ s_col(X1,X2,X4)
| ~ s_t(X0,X4,X3)
| ~ s_t(X2,X5,X3)
| ~ s_e(X1,X0,X2,X5)
| X6 != ip(X0,X4,X3,X2,X5)
| s_m(X0,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_24b) ).
fof(f149,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X0,X1,X1,X2)
| ~ perp(X3,X2,X1,X2)
| ~ s_col(X1,X2,X4)
| ~ s_t(X0,X4,X3)
| ~ s_t(X2,X5,X3)
| ~ s_e(X1,X0,X2,X5)
| s_m(X0,midpoint(X1,X2),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_24) ).
fof(f150,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X0,X1,X1,X2)
| ~ perp(X3,X2,X1,X2)
| ~ s_col(X1,X2,X4)
| ~ s_t(X0,X4,X3)
| ~ s_t(X2,X5,X3)
| ~ s_e(X1,X0,X2,X5)
| s_m(X0,midpoint(X1,X2),X5) ),
inference(negated_conjecture,[status(cth)],[f149]) ).
fof(f164,plain,
? [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X1,X2)
& perp(X3,X2,X1,X2)
& s_col(X1,X2,X4)
& s_t(X0,X4,X3)
& s_t(X2,X5,X3)
& s_e(X1,X0,X2,X5)
& ~ s_m(X0,midpoint(X1,X2),X5) ),
inference(ennf_transformation,[],[f150]) ).
fof(f165,plain,
( perp(sK0,sK1,sK1,sK2)
& perp(sK3,sK2,sK1,sK2)
& s_col(sK1,sK2,sK4)
& s_t(sK0,sK4,sK3)
& s_t(sK2,sK5,sK3)
& s_e(sK1,sK0,sK2,sK5)
& ~ s_m(sK0,midpoint(sK1,sK2),sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f164]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( ~ s_m(X0,X3,X2)
| ~ s_m(X0,X1,X2)
| X1 = X3 ),
inference(cnf_transformation,[],[f109]) ).
fof(f339,plain,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
inference(cnf_transformation,[],[f146]) ).
fof(f340,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ perp(X0,X1,X1,X2)
| ~ perp(X3,X2,X1,X2)
| ~ s_col(X1,X2,X4)
| ~ s_t(X0,X4,X3)
| ~ s_t(X2,X5,X3)
| ~ s_e(X1,X0,X2,X5)
| ip(X0,X4,X3,X2,X5) != X6
| s_m(X1,X6,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ perp(X0,X1,X1,X2)
| ~ perp(X3,X2,X1,X2)
| ~ s_col(X1,X2,X4)
| ~ s_t(X0,X4,X3)
| ~ s_t(X2,X5,X3)
| ~ s_e(X1,X0,X2,X5)
| ip(X0,X4,X3,X2,X5) != X6
| s_m(X0,X6,X5) ),
inference(cnf_transformation,[],[f148]) ).
fof(f342,plain,
~ s_m(sK0,midpoint(sK1,sK2),sK5),
inference(cnf_transformation,[],[f165]) ).
fof(f343,plain,
s_e(sK1,sK0,sK2,sK5),
inference(cnf_transformation,[],[f165]) ).
fof(f344,plain,
s_t(sK2,sK5,sK3),
inference(cnf_transformation,[],[f165]) ).
fof(f345,plain,
s_t(sK0,sK4,sK3),
inference(cnf_transformation,[],[f165]) ).
fof(f346,plain,
s_col(sK1,sK2,sK4),
inference(cnf_transformation,[],[f165]) ).
fof(f347,plain,
perp(sK3,sK2,sK1,sK2),
inference(cnf_transformation,[],[f165]) ).
fof(f348,plain,
perp(sK0,sK1,sK1,sK2),
inference(cnf_transformation,[],[f165]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X3,X2,X1,X2)
| ~ perp(X0,X1,X1,X2)
| ~ s_col(X1,X2,X4)
| ~ s_t(X0,X4,X3)
| ~ s_t(X2,X5,X3)
| ~ s_e(X1,X0,X2,X5)
| s_m(X1,ip(X0,X4,X3,X2,X5),X2) ),
inference(equality_resolution,[],[f340]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X3,X2,X1,X2)
| ~ perp(X0,X1,X1,X2)
| ~ s_col(X1,X2,X4)
| ~ s_t(X0,X4,X3)
| ~ s_t(X2,X5,X3)
| ~ s_e(X1,X0,X2,X5)
| s_m(X0,ip(X0,X4,X3,X2,X5),X5) ),
inference(equality_resolution,[],[f341]) ).
fof(f429,definition,
sF6 = midpoint(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f430,plain,
midpoint(sK1,sK2) = sF6,
inference(reorient_equations,[],[f429]) ).
fof(f431,plain,
~ s_m(sK0,sF6,sK5),
inference(definition_folding,[],[f342,f430]) ).
fof(f435,plain,
! [X2,X0,X1] :
( s_m(sK1,ip(X0,X1,sK3,sK2,X2),sK2)
| ~ s_col(sK1,sK2,X1)
| ~ s_t(X0,X1,sK3)
| ~ s_t(sK2,X2,sK3)
| ~ s_e(sK1,X0,sK2,X2)
| ~ perp(X0,sK1,sK1,sK2) ),
inference(resolution,[],[f423,f347]) ).
fof(f436,plain,
! [X2,X0,X1] :
( s_m(X0,ip(X0,X1,sK3,sK2,X2),X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_t(X0,X1,sK3)
| ~ s_t(sK2,X2,sK3)
| ~ s_e(sK1,X0,sK2,X2)
| ~ perp(X0,sK1,sK1,sK2) ),
inference(resolution,[],[f424,f347]) ).
fof(f569,plain,
! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| midpoint(X0,X2) = X1 ),
inference(resolution,[],[f288,f339]) ).
fof(f580,plain,
! [X2,X0,X1] :
( midpoint(sK1,sK2) = ip(X0,X1,sK3,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_t(X0,X1,sK3)
| ~ s_t(sK2,X2,sK3)
| ~ s_e(sK1,X0,sK2,X2)
| ~ perp(X0,sK1,sK1,sK2) ),
inference(resolution,[],[f569,f435]) ).
fof(f583,plain,
! [X2,X0,X1] :
( ~ perp(X0,sK1,sK1,sK2)
| ~ s_col(sK1,sK2,X1)
| ~ s_t(X0,X1,sK3)
| ~ s_t(sK2,X2,sK3)
| ~ s_e(sK1,X0,sK2,X2)
| sF6 = ip(X0,X1,sK3,sK2,X2) ),
inference(forward_demodulation,[],[f580,f430]) ).
fof(f592,plain,
! [X0,X1] :
( ~ s_e(sK1,sK0,sK2,X1)
| ~ s_t(sK0,X0,sK3)
| ~ s_t(sK2,X1,sK3)
| ~ s_col(sK1,sK2,X0)
| sF6 = ip(sK0,X0,sK3,sK2,X1) ),
inference(resolution,[],[f583,f348]) ).
fof(f593,plain,
! [X0] :
( ~ s_t(sK0,X0,sK3)
| ~ s_t(sK2,sK5,sK3)
| ~ s_col(sK1,sK2,X0)
| sF6 = ip(sK0,X0,sK3,sK2,sK5) ),
inference(resolution,[],[f592,f343]) ).
fof(f594,plain,
! [X0] :
( ~ s_col(sK1,sK2,X0)
| ~ s_t(sK0,X0,sK3)
| sF6 = ip(sK0,X0,sK3,sK2,sK5) ),
inference(forward_subsumption_resolution,[],[f593,f344]) ).
fof(f595,plain,
( ~ s_t(sK0,sK4,sK3)
| sF6 = ip(sK0,sK4,sK3,sK2,sK5) ),
inference(resolution,[],[f594,f346]) ).
fof(f610,plain,
sF6 = ip(sK0,sK4,sK3,sK2,sK5),
inference(forward_subsumption_resolution,[],[f595,f345]) ).
fof(f612,plain,
( s_m(sK0,sF6,sK5)
| ~ s_col(sK1,sK2,sK4)
| ~ s_t(sK0,sK4,sK3)
| ~ s_t(sK2,sK5,sK3)
| ~ s_e(sK1,sK0,sK2,sK5)
| ~ perp(sK0,sK1,sK1,sK2) ),
inference(superposition,[],[f436,f610]) ).
fof(f617,plain,
( ~ s_col(sK1,sK2,sK4)
| ~ s_t(sK0,sK4,sK3)
| ~ s_t(sK2,sK5,sK3)
| ~ s_e(sK1,sK0,sK2,sK5)
| ~ perp(sK0,sK1,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f612,f431]) ).
fof(f620,plain,
( ~ s_t(sK0,sK4,sK3)
| ~ s_t(sK2,sK5,sK3)
| ~ s_e(sK1,sK0,sK2,sK5)
| ~ perp(sK0,sK1,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f617,f346]) ).
fof(f621,plain,
( ~ s_t(sK2,sK5,sK3)
| ~ s_e(sK1,sK0,sK2,sK5)
| ~ perp(sK0,sK1,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f620,f345]) ).
fof(f622,plain,
( ~ s_e(sK1,sK0,sK2,sK5)
| ~ perp(sK0,sK1,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f621,f344]) ).
fof(f623,plain,
~ perp(sK0,sK1,sK1,sK2),
inference(forward_subsumption_resolution,[],[f622,f343]) ).
fof(f624,plain,
$false,
inference(forward_subsumption_resolution,[],[f623,f348]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO511+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n006.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 08:23:25 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.52/1.75 % (2684681)Detected formulas, will run a generic FOF schedule.
% 6.52/1.75 % (2684690)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2093669140:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.52/1.75 % (2684687)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=1153281092:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.52/1.75 % (2684688)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=2409413541:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.52/1.75 % (2684686)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=3671252386:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.52/1.75 % (2684691)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=291319962:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.52/1.75 % (2684689)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2960163428:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.52/1.75 % (2684692)dis-21_1_sil=8000:lcm=predicate:random_seed=3892499882: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)
% 6.52/1.75 % (2684689)Instruction limit reached!
% 6.52/1.75 % (2684689)------------------------------
% 6.52/1.75 % (2684689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (2684689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (2684689)CaDiCaL version: 2.1.3
% 6.52/1.75 % (2684689)Termination reason: Instruction limit
% 6.52/1.75 % (2684689)Termination phase: Saturation
% 6.52/1.75 % (2684689)Time elapsed: 0.068 s
% 6.52/1.75 % (2684689)Peak memory usage: 89 MB
% 6.52/1.75 % (2684689)Instructions burned: 110 (million)
% 6.52/1.75 % (2684690)Instruction limit reached!
% 6.52/1.75 % (2684690)------------------------------
% 6.52/1.75 % (2684690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (2684690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (2684690)CaDiCaL version: 2.1.3
% 6.52/1.75 % (2684690)Termination reason: Instruction limit
% 6.52/1.75 % (2684690)Termination phase: Saturation
% 6.52/1.75 % (2684690)Time elapsed: 0.070 s
% 6.52/1.75 % (2684690)Peak memory usage: 88 MB
% 6.52/1.75 % (2684690)Instructions burned: 120 (million)
% 6.52/1.75 % (2684692)Instruction limit reached!
% 6.52/1.75 % (2684692)------------------------------
% 6.52/1.75 % (2684692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (2684692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (2684692)CaDiCaL version: 2.1.3
% 6.52/1.75 % (2684692)Termination reason: Instruction limit
% 6.52/1.75 % (2684692)Termination phase: Saturation
% 6.52/1.75 % (2684692)Time elapsed: 0.073 s
% 6.52/1.75 % (2684692)Peak memory usage: 89 MB
% 6.52/1.75 % (2684692)Instructions burned: 129 (million)
% 6.52/1.75 % (2684691)Instruction limit reached!
% 6.52/1.75 % (2684691)------------------------------
% 6.52/1.75 % (2684691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (2684691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (2684691)CaDiCaL version: 2.1.3
% 6.52/1.75 % (2684691)Termination reason: Instruction limit
% 6.52/1.75 % (2684691)Termination phase: Saturation
% 6.52/1.75 % (2684691)Time elapsed: 0.090 s
% 6.52/1.75 % (2684691)Peak memory usage: 90 MB
% 6.52/1.75 % (2684691)Instructions burned: 139 (million)
% 6.52/1.75 % (2684702)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2905106673:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.52/1.75 % (2684701)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1934014958:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.52/1.75 % (2684700)lrs+10_1_sil=8000:sp=occurrence:random_seed=2806869356:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.52/1.75 % (2684703)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=3938694808:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.52/1.75 % (2684701)Instruction limit reached!
% 6.52/1.75 % (2684701)------------------------------
% 6.52/1.75 % (2684701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (2684701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (2684701)CaDiCaL version: 2.1.3
% 6.52/1.75 % (2684701)Termination reason: Instruction limit
% 6.52/1.75 % (2684701)Termination phase: Saturation
% 6.52/1.75 % (2684701)Time elapsed: 0.078 s
% 6.52/1.75 % (2684701)Peak memory usage: 89 MB
% 6.52/1.75 % (2684701)Instructions burned: 158 (million)
% 6.52/1.75 % (2684703)Instruction limit reached!
% 6.52/1.75 % (2684703)------------------------------
% 6.52/1.75 % (2684703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (2684703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (2684703)CaDiCaL version: 2.1.3
% 6.52/1.75 % (2684703)Termination reason: Instruction limit
% 6.52/1.75 % (2684703)Termination phase: Saturation
% 6.52/1.75 % (2684703)Time elapsed: 0.066 s
% 6.52/1.75 % (2684703)Peak memory usage: 89 MB
% 6.52/1.75 % (2684703)Instructions burned: 250 (million)
% 6.52/1.75 % (2684700)Instruction limit reached!
% 6.52/1.75 % (2684700)------------------------------
% 6.52/1.75 % (2684700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (2684700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (2684700)CaDiCaL version: 2.1.3
% 6.52/1.75 % (2684700)Termination reason: Instruction limit
% 6.52/1.75 % (2684700)Termination phase: Saturation
% 6.52/1.75 % (2684700)Time elapsed: 0.182 s
% 6.52/1.75 % (2684700)Peak memory usage: 91 MB
% 6.52/1.75 % (2684700)Instructions burned: 286 (million)
% 6.52/1.75 % (2684702)Instruction limit reached!
% 6.52/1.75 % (2684702)------------------------------
% 6.52/1.75 % (2684702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (2684702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (2684702)CaDiCaL version: 2.1.3
% 6.52/1.75 % (2684702)Termination reason: Instruction limit
% 6.52/1.75 % (2684702)Termination phase: Saturation
% 6.52/1.75 % (2684702)Time elapsed: 0.198 s
% 6.52/1.75 % (2684702)Peak memory usage: 91 MB
% 6.52/1.75 % (2684702)Instructions burned: 325 (million)
% 6.52/1.75 % (2684709)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=686410193:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.52/1.75 % (2684708)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1084253110:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.52/1.75 % (2684710)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3437565008:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.52/1.75 % (2684711)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2383105645:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.52/1.75 % (2684708)Instruction limit reached!
% 6.52/1.75 % (2684708)------------------------------
% 6.52/1.75 % (2684708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (2684708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (2684708)CaDiCaL version: 2.1.3
% 6.52/1.75 % (2684708)Termination reason: Instruction limit
% 6.52/1.75 % (2684708)Termination phase: Saturation
% 6.52/1.75 % (2684708)Time elapsed: 0.161 s
% 6.52/1.75 % (2684708)Peak memory usage: 89 MB
% 6.52/1.75 % (2684708)Instructions burned: 295 (million)
% 6.52/1.75 % (2684710)Instruction limit reached!
% 6.52/1.75 % (2684710)------------------------------
% 6.52/1.75 % (2684710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (2684710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (2684710)CaDiCaL version: 2.1.3
% 6.52/1.75 % (2684710)Termination reason: Instruction limit
% 6.52/1.75 % (2684710)Termination phase: Saturation
% 6.52/1.75 % (2684710)Time elapsed: 0.066 s
% 6.52/1.75 % (2684710)Peak memory usage: 90 MB
% 6.52/1.75 % (2684710)Instructions burned: 114 (million)
% 6.52/1.75 % (2684711)Instruction limit reached!
% 6.52/1.75 % (2684711)------------------------------
% 6.52/1.75 % (2684711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (2684711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (2684711)CaDiCaL version: 2.1.3
% 6.52/1.75 % (2684711)Termination reason: Instruction limit
% 6.52/1.75 % (2684711)Termination phase: Saturation
% 8.22/1.94 % (2684711)Time elapsed: 0.066 s
% 8.22/1.94 % (2684711)Peak memory usage: 89 MB
% 8.22/1.94 % (2684711)Instructions burned: 127 (million)
% 8.22/1.94 % (2684686)First to succeed.
% 8.22/1.94 % (2684686)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2684681"
% 8.22/1.94 % (2684716)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=962072792:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.22/1.94 % (2684687)Also succeeded, but the first one will report.
% 8.22/1.94 % (2684717)lrs+10_1_sil=8000:sp=occurrence:random_seed=3079314881:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.22/1.94 % (2684718)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1175260169:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.22/1.94 % (2684716)Instruction limit reached!
% 8.22/1.94 % (2684716)------------------------------
% 8.22/1.94 % (2684716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/1.94 % (2684716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.94 % (2684716)CaDiCaL version: 2.1.3
% 8.22/1.94 % (2684716)Termination reason: Instruction limit
% 8.22/1.94 % (2684716)Termination phase: Saturation
% 8.22/1.94 % (2684716)Time elapsed: 0.057 s
% 8.22/1.94 % (2684716)Peak memory usage: 89 MB
% 8.22/1.94 % (2684716)Instructions burned: 114 (million)
% 8.22/1.94 % (2684686)Refutation found. Thanks to Tanya!
% 8.22/1.94 % SZS status Theorem for theBenchmark
% 8.22/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 8.22/1.94 % (2684686)------------------------------
% 8.22/1.94 % (2684686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/1.94 % (2684686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.94 % (2684686)CaDiCaL version: 2.1.3
% 8.22/1.94 % (2684686)Termination reason: Refutation
% 8.22/1.94 % (2684686)Time elapsed: 0.683 s
% 8.22/1.94 % (2684686)Peak memory usage: 130 MB
% 8.22/1.94 % (2684686)Instructions burned: 1036 (million)
% 8.22/1.94 % (2684686)------------------------------
% 8.22/1.94 % (2684686)------------------------------
% 8.22/1.94 % (2684681)Success in time 1.118 s
% 8.22/1.94 % Vampire exiting
%------------------------------------------------------------------------------