%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO489+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 : 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 09:52:47 AM UTC 2026
% Result : Theorem 23.96s 5.39s
% Output : Refutation 23.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 25 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-2 aty)
% Number of variables : 18 ( 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2406,axiom,
s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ))) = s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDIMINDEXu_1) ).
fof(f3708,axiom,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(X0,X0),bool),permutation),s(fun(X0,X0),X1))))
=> s(bool,i(s(fun(fun(X0,X0),bool),evenperm),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1))))) = s(bool,i(s(fun(fun(X0,X0),bool),evenperm),s(fun(X0,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEVENPERMu_INVERSE) ).
fof(f3721,axiom,
! [X0,X1] : s(real,i(s(fun(fun(X0,X0),real),sign),s(fun(X0,X0),X1))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,i(s(fun(fun(X0,X0),bool),evenperm),s(fun(X0,X0),X1))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',asign) ).
fof(f3724,conjecture,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(X0,X0),bool),permutation),s(fun(X0,X0),X1))))
=> s(real,i(s(fun(fun(X0,X0),real),sign),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1))))) = s(real,i(s(fun(fun(X0,X0),real),sign),s(fun(X0,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSIGNu_INVERSE) ).
fof(f3725,negated_conjecture,
~ ! [X0,X1] :
( p(s(bool,i(s(fun(fun(X0,X0),bool),permutation),s(fun(X0,X0),X1))))
=> s(real,i(s(fun(fun(X0,X0),real),sign),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1))))) = s(real,i(s(fun(fun(X0,X0),real),sign),s(fun(X0,X0),X1))) ),
inference(negated_conjecture,[status(cth)],[f3724]) ).
fof(f4225,plain,
! [X0,X1] :
( s(bool,i(s(fun(fun(X0,X0),bool),evenperm),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1))))) = s(bool,i(s(fun(fun(X0,X0),bool),evenperm),s(fun(X0,X0),X1)))
| ~ p(s(bool,i(s(fun(fun(X0,X0),bool),permutation),s(fun(X0,X0),X1)))) ),
inference(ennf_transformation,[],[f3708]) ).
fof(f4240,plain,
? [X0,X1] :
( s(real,i(s(fun(fun(X0,X0),real),sign),s(fun(X0,X0),X1))) != s(real,i(s(fun(fun(X0,X0),real),sign),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1)))))
& p(s(bool,i(s(fun(fun(X0,X0),bool),permutation),s(fun(X0,X0),X1)))) ),
inference(ennf_transformation,[],[f3725]) ).
fof(f5940,plain,
( s(real,i(s(fun(fun(sK140,sK140),real),sign),s(fun(sK140,sK140),sK141))) != s(real,i(s(fun(fun(sK140,sK140),real),sign),s(fun(sK140,sK140),i(s(fun(fun(sK140,sK140),fun(sK140,sK140)),inverse),s(fun(sK140,sK140),sK141)))))
& p(s(bool,i(s(fun(fun(sK140,sK140),bool),permutation),s(fun(sK140,sK140),sK141)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK140,sK141]),skolemize(X0,sK140),skolemize(X1,sK141)],[f4240]) ).
fof(f8272,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X0,X0),bool),permutation),s(fun(X0,X0),X1))))
| s(bool,i(s(fun(fun(X0,X0),bool),evenperm),s(fun(X0,X0),X1))) = s(bool,i(s(fun(fun(X0,X0),bool),evenperm),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1))))) ),
inference(cnf_transformation,[],[f4225]) ).
fof(f8312,plain,
! [X0,X1] : s(real,i(s(fun(fun(X0,X0),real),sign),s(fun(X0,X0),X1))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,i(s(fun(fun(X0,X0),bool),evenperm),s(fun(X0,X0),X1))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),
inference(cnf_transformation,[],[f3721]) ).
fof(f8315,plain,
p(s(bool,i(s(fun(fun(sK140,sK140),bool),permutation),s(fun(sK140,sK140),sK141)))),
inference(cnf_transformation,[],[f5940]) ).
fof(f8316,plain,
s(real,i(s(fun(fun(sK140,sK140),real),sign),s(fun(sK140,sK140),sK141))) != s(real,i(s(fun(fun(sK140,sK140),real),sign),s(fun(sK140,sK140),i(s(fun(fun(sK140,sK140),fun(sK140,sK140)),inverse),s(fun(sK140,sK140),sK141))))),
inference(cnf_transformation,[],[f5940]) ).
fof(f11988,plain,
s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))) = s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ))),
inference(cnf_transformation,[],[f2406]) ).
fof(f14167,plain,
! [X0,X1] : s(real,i(s(fun(fun(X0,X0),real),sign),s(fun(X0,X0),X1))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,i(s(fun(fun(X0,X0),bool),evenperm),s(fun(X0,X0),X1))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ))))))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ))))))))),
inference(forward_demodulation,[],[f8312,f11988]) ).
fof(f15223,plain,
s(bool,i(s(fun(fun(sK140,sK140),bool),evenperm),s(fun(sK140,sK140),sK141))) = s(bool,i(s(fun(fun(sK140,sK140),bool),evenperm),s(fun(sK140,sK140),i(s(fun(fun(sK140,sK140),fun(sK140,sK140)),inverse),s(fun(sK140,sK140),sK141))))),
inference(resolution,[],[f8272,f8315]) ).
fof(f15226,plain,
s(real,i(s(fun(fun(sK140,sK140),real),sign),s(fun(sK140,sK140),i(s(fun(fun(sK140,sK140),fun(sK140,sK140)),inverse),s(fun(sK140,sK140),sK141))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,i(s(fun(fun(sK140,sK140),bool),evenperm),s(fun(sK140,sK140),sK141))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ))))))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ))))))))),
inference(superposition,[],[f14167,f15223]) ).
fof(f15227,plain,
s(real,i(s(fun(fun(sK140,sK140),real),sign),s(fun(sK140,sK140),sK141))) = s(real,i(s(fun(fun(sK140,sK140),real),sign),s(fun(sK140,sK140),i(s(fun(fun(sK140,sK140),fun(sK140,sK140)),inverse),s(fun(sK140,sK140),sK141))))),
inference(forward_demodulation,[],[f15226,f14167]) ).
fof(f15228,plain,
$false,
inference(forward_subsumption_resolution,[],[f15227,f8316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO489+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 08:22:24 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 12.63/3.79 % (920452)Detected formulas, will run a generic FOF schedule.
% 12.63/3.79 % (920458)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=1863813373:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 12.63/3.79 % (920457)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=3978639759:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 12.63/3.79 % (920461)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2922987013:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 12.63/3.79 % (920459)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=1100376935:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 12.63/3.79 % (920462)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=612450449:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 12.63/3.79 % (920460)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2407859929:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 12.63/3.79 % (920463)dis-21_1_sil=8000:lcm=predicate:random_seed=3347511057:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 12.63/3.79 % (920462)Instruction limit reached!
% 12.63/3.79 % (920462)------------------------------
% 12.63/3.79 % (920462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.63/3.79 % (920462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/3.79 % (920462)CaDiCaL version: 2.1.3
% 12.63/3.79 % (920462)Termination reason: Instruction limit
% 12.63/3.79 % (920462)Termination phase: Property scanning
% 12.63/3.79 % (920462)Time elapsed: 0.048 s
% 12.63/3.79 % (920462)Peak memory usage: 90 MB
% 12.63/3.79 % (920462)Instructions burned: 140 (million)
% 12.63/3.79 % (920460)Instruction limit reached!
% 12.63/3.79 % (920460)------------------------------
% 12.63/3.79 % (920460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.63/3.79 % (920460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/3.79 % (920460)CaDiCaL version: 2.1.3
% 12.63/3.79 % (920460)Termination reason: Instruction limit
% 12.63/3.79 % (920460)Termination phase: Property scanning
% 12.63/3.79 % (920460)Time elapsed: 0.057 s
% 12.63/3.79 % (920460)Peak memory usage: 92 MB
% 12.63/3.79 % (920460)Instructions burned: 111 (million)
% 12.63/3.79 % (920463)Instruction limit reached!
% 12.63/3.79 % (920463)------------------------------
% 12.63/3.79 % (920463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.63/3.79 % (920463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/3.79 % (920463)CaDiCaL version: 2.1.3
% 12.63/3.79 % (920463)Termination reason: Instruction limit
% 12.63/3.79 % (920463)Termination phase: SInE selection
% 12.63/3.79 % (920463)Time elapsed: 0.058 s
% 12.63/3.79 % (920463)Peak memory usage: 90 MB
% 12.63/3.79 % (920463)Instructions burned: 129 (million)
% 12.63/3.79 % (920461)Instruction limit reached!
% 12.63/3.79 % (920461)------------------------------
% 12.63/3.79 % (920461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.63/3.79 % (920461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/3.79 % (920461)CaDiCaL version: 2.1.3
% 12.63/3.79 % (920461)Termination reason: Instruction limit
% 12.63/3.79 % (920461)Termination phase: Preprocessing 1
% 12.63/3.79 % (920461)Time elapsed: 0.061 s
% 12.63/3.79 % (920461)Peak memory usage: 91 MB
% 12.63/3.79 % (920461)Instructions burned: 119 (million)
% 12.63/3.79 % (920471)lrs+10_1_sil=8000:sp=occurrence:random_seed=929792452:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 12.63/3.79 % (920474)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=1195961561:s2a=on:i=248:s2at=1.23:gtg=position_2985 on theBenchmark for (2985ds/248Mi)
% 12.63/3.79 % (920473)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3334467592:i=325:sd=1:ss=axioms:sgt=32_2985 on theBenchmark for (2985ds/325Mi)
% 12.63/3.79 % (920472)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4020613559:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/157Mi)
% 12.63/3.79 % (920472)Instruction limit reached!
% 12.63/3.79 % (920472)------------------------------
% 19.60/4.75 % (920472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.60/4.75 % (920472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.60/4.75 % (920472)CaDiCaL version: 2.1.3
% 19.60/4.75 % (920472)Termination reason: Instruction limit
% 19.60/4.75 % (920472)Termination phase: Property scanning
% 19.60/4.75 % (920472)Time elapsed: 0.054 s
% 19.60/4.75 % (920472)Peak memory usage: 90 MB
% 19.60/4.75 % (920472)Instructions burned: 160 (million)
% 19.60/4.75 % (920474)Instruction limit reached!
% 19.60/4.75 % (920474)------------------------------
% 19.60/4.75 % (920474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.60/4.75 % (920474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.60/4.75 % (920474)CaDiCaL version: 2.1.3
% 19.60/4.75 % (920474)Termination reason: Instruction limit
% 19.60/4.75 % (920474)Termination phase: Property scanning
% 19.60/4.75 % (920474)Time elapsed: 0.085 s
% 19.60/4.75 % (920474)Peak memory usage: 90 MB
% 19.60/4.75 % (920474)Instructions burned: 248 (million)
% 19.60/4.75 % (920471)Instruction limit reached!
% 19.60/4.75 % (920471)------------------------------
% 19.60/4.75 % (920471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.60/4.75 % (920471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.60/4.75 % (920471)CaDiCaL version: 2.1.3
% 19.60/4.75 % (920471)Termination reason: Instruction limit
% 19.60/4.75 % (920471)Termination phase: Preprocessing 3
% 19.60/4.75 % (920471)Time elapsed: 0.146 s
% 19.60/4.75 % (920471)Peak memory usage: 98 MB
% 19.60/4.75 % (920471)Instructions burned: 285 (million)
% 19.60/4.75 % (920473)Instruction limit reached!
% 19.60/4.75 % (920473)------------------------------
% 19.60/4.75 % (920473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.60/4.75 % (920473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.60/4.75 % (920473)CaDiCaL version: 2.1.3
% 19.60/4.75 % (920473)Termination reason: Instruction limit
% 19.60/4.75 % (920473)Termination phase: Saturation
% 19.60/4.75 % (920473)Time elapsed: 0.174 s
% 19.60/4.75 % (920473)Peak memory usage: 97 MB
% 19.60/4.75 % (920473)Instructions burned: 326 (million)
% 19.60/4.75 % (920479)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2561217733:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2983 on theBenchmark for (2983ds/294Mi)
% 19.60/4.75 % (920480)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2380825485:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 19.60/4.75 % (920481)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3610013165:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 19.60/4.75 % (920482)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3211405833:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 19.60/4.75 % (920479)Instruction limit reached!
% 19.60/4.75 % (920479)------------------------------
% 19.60/4.75 % (920479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.60/4.75 % (920479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.60/4.75 % (920479)CaDiCaL version: 2.1.3
% 19.60/4.75 % (920479)Termination reason: Instruction limit
% 19.60/4.75 % (920479)Termination phase: Preprocessing 3
% 19.60/4.75 % (920479)Time elapsed: 0.146 s
% 19.60/4.75 % (920479)Peak memory usage: 96 MB
% 19.60/4.75 % (920479)Instructions burned: 295 (million)
% 19.60/4.75 % (920481)Instruction limit reached!
% 19.60/4.75 % (920481)------------------------------
% 19.60/4.75 % (920481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.60/4.75 % (920481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.60/4.75 % (920481)CaDiCaL version: 2.1.3
% 19.60/4.75 % (920481)Termination reason: Instruction limit
% 19.60/4.75 % (920481)Termination phase: Preprocessing 1
% 19.60/4.75 % (920481)Time elapsed: 0.059 s
% 19.60/4.75 % (920481)Peak memory usage: 91 MB
% 19.60/4.75 % (920481)Instructions burned: 113 (million)
% 19.60/4.75 % (920482)Instruction limit reached!
% 19.60/4.75 % (920482)------------------------------
% 19.60/4.75 % (920482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.60/4.75 % (920482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.60/4.75 % (920482)CaDiCaL version: 2.1.3
% 19.60/4.75 % (920482)Termination reason: Instruction limit
% 19.60/4.75 % (920482)Termination phase: Naming
% 19.60/4.75 % (920482)Time elapsed: 0.072 s
% 19.60/4.75 % (920482)Peak memory usage: 94 MB
% 23.47/5.20 % (920482)Instructions burned: 128 (million)
% 23.47/5.20 % (920487)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=680928288:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2980 on theBenchmark for (2980ds/114Mi)
% 23.47/5.20 % (920488)lrs+10_1_sil=8000:sp=occurrence:random_seed=1763631957:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 23.47/5.20 % (920487)Instruction limit reached!
% 23.47/5.20 % (920487)------------------------------
% 23.47/5.20 % (920487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.47/5.20 % (920487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/5.20 % (920487)CaDiCaL version: 2.1.3
% 23.47/5.20 % (920487)Termination reason: Instruction limit
% 23.47/5.20 % (920487)Termination phase: Property scanning
% 23.47/5.20 % (920487)Time elapsed: 0.040 s
% 23.47/5.20 % (920487)Peak memory usage: 91 MB
% 23.47/5.20 % (920487)Instructions burned: 114 (million)
% 23.47/5.20 % (920489)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=725880744:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 23.47/5.20 % (920492)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3698446204:i=5202:ss=axioms:sgt=16_2978 on theBenchmark for (2978ds/5202Mi)
% 23.47/5.20 % (920489)Instruction limit reached!
% 23.47/5.20 % (920489)------------------------------
% 23.47/5.20 % (920489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.47/5.20 % (920489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/5.20 % (920489)CaDiCaL version: 2.1.3
% 23.47/5.20 % (920489)Termination reason: Instruction limit
% 23.47/5.20 % (920489)Termination phase: Property scanning
% 23.47/5.20 % (920489)Time elapsed: 0.193 s
% 23.47/5.20 % (920489)Peak memory usage: 96 MB
% 23.47/5.20 % (920489)Instructions burned: 438 (million)
% 23.47/5.20 % (920488)Instruction limit reached!
% 23.47/5.20 % (920488)------------------------------
% 23.47/5.20 % (920488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.47/5.20 % (920488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/5.20 % (920488)CaDiCaL version: 2.1.3
% 23.47/5.20 % (920488)Termination reason: Instruction limit
% 23.47/5.20 % (920488)Termination phase: Property scanning
% 23.47/5.20 % (920488)Time elapsed: 0.395 s
% 23.47/5.20 % (920488)Peak memory usage: 102 MB
% 23.47/5.20 % (920488)Instructions burned: 907 (million)
% 23.47/5.20 % (920495)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2729963553:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 23.47/5.20 % (920495)Instruction limit reached!
% 23.47/5.20 % (920495)------------------------------
% 23.47/5.20 % (920495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.47/5.20 % (920495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/5.20 % (920495)CaDiCaL version: 2.1.3
% 23.47/5.20 % (920495)Termination reason: Instruction limit
% 23.47/5.20 % (920495)Termination phase: Preprocessing 1
% 23.47/5.20 % (920495)Time elapsed: 0.076 s
% 23.47/5.20 % (920495)Peak memory usage: 91 MB
% 23.47/5.20 % (920495)Instructions burned: 134 (million)
% 23.47/5.20 % (920496)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2951406146:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 23.47/5.20 % (920480)Instruction limit reached!
% 23.47/5.20 % (920480)------------------------------
% 23.47/5.20 % (920480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.47/5.20 % (920480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/5.20 % (920480)CaDiCaL version: 2.1.3
% 23.47/5.20 % (920480)Termination reason: Instruction limit
% 23.47/5.20 % (920480)Termination phase: Twee Goal Transformation
% 23.47/5.20 % (920480)Time elapsed: 0.903 s
% 23.47/5.20 % (920480)Peak memory usage: 107 MB
% 23.47/5.20 % (920480)Instructions burned: 2351 (million)
% 23.47/5.20 % (920498)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=489163963:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 23.47/5.20 % (920500)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=30528885:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 23.47/5.20 % (920500)Instruction limit reached!
% 23.47/5.20 % (920500)------------------------------
% 23.96/5.39 % (920500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.96/5.39 % (920500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.96/5.39 % (920500)CaDiCaL version: 2.1.3
% 23.96/5.39 % (920500)Termination reason: Instruction limit
% 23.96/5.39 % (920500)Termination phase: Property scanning
% 23.96/5.39 % (920500)Time elapsed: 0.044 s
% 23.96/5.39 % (920500)Peak memory usage: 91 MB
% 23.96/5.39 % (920500)Instructions burned: 126 (million)
% 23.96/5.39 % (920496)Instruction limit reached!
% 23.96/5.39 % (920496)------------------------------
% 23.96/5.39 % (920496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.96/5.39 % (920496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.96/5.39 % (920496)CaDiCaL version: 2.1.3
% 23.96/5.39 % (920496)Termination reason: Instruction limit
% 23.96/5.39 % (920496)Termination phase: Preprocessing 3
% 23.96/5.39 % (920496)Time elapsed: 0.301 s
% 23.96/5.39 % (920496)Peak memory usage: 102 MB
% 23.96/5.39 % (920496)Instructions burned: 593 (million)
% 23.96/5.39 % (920503)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3218018290:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 23.96/5.39 % (920503)Instruction limit reached!
% 23.96/5.39 % (920503)------------------------------
% 23.96/5.39 % (920503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.96/5.39 % (920503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.96/5.39 % (920503)CaDiCaL version: 2.1.3
% 23.96/5.39 % (920503)Termination reason: Instruction limit
% 23.96/5.39 % (920503)Termination phase: Property scanning
% 23.96/5.39 % (920503)Time elapsed: 0.048 s
% 23.96/5.39 % (920503)Peak memory usage: 91 MB
% 23.96/5.39 % (920503)Instructions burned: 136 (million)
% 23.96/5.39 % (920504)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3419938282:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/141Mi)
% 23.96/5.39 % (920504)Instruction limit reached!
% 23.96/5.39 % (920504)------------------------------
% 23.96/5.39 % (920504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.96/5.39 % (920504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.96/5.39 % (920504)CaDiCaL version: 2.1.3
% 23.96/5.39 % (920504)Termination reason: Instruction limit
% 23.96/5.39 % (920504)Termination phase: Saturation
% 23.96/5.39 % (920504)Time elapsed: 0.072 s
% 23.96/5.39 % (920504)Peak memory usage: 94 MB
% 23.96/5.39 % (920504)Instructions burned: 142 (million)
% 23.96/5.39 % (920506)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1379503010:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2968 on theBenchmark for (2968ds/431Mi)
% 23.96/5.39 % (920506)Refutation not found, incomplete strategy
% 23.96/5.39 % (920506)------------------------------
% 23.96/5.39 % (920506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.96/5.39 % (920506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.96/5.39 % (920506)CaDiCaL version: 2.1.3
% 23.96/5.39 % (920506)Termination reason: Refutation not found, incomplete strategy
% 23.96/5.39 % (920506)Time elapsed: 0.076 s
% 23.96/5.39 % (920506)Peak memory usage: 96 MB
% 23.96/5.39 % (920506)Instructions burned: 144 (million)
% 23.96/5.39 % (920508)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1378989974:i=6060:aac=none:ins=25_2967 on theBenchmark for (2967ds/6060Mi)
% 23.96/5.39 % (920506)------------------------------
% 23.96/5.39 % (920506)------------------------------
% 23.96/5.39 % (920511)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1987810992:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2963 on theBenchmark for (2963ds/150Mi)
% 23.96/5.39 % (920511)Instruction limit reached!
% 23.96/5.39 % (920511)------------------------------
% 23.96/5.39 % (920511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.96/5.39 % (920511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.96/5.39 % (920511)CaDiCaL version: 2.1.3
% 23.96/5.39 % (920511)Termination reason: Instruction limit
% 23.96/5.39 % (920511)Termination phase: Preprocessing 1
% 23.96/5.39 % (920511)Time elapsed: 0.084 s
% 23.96/5.39 % (920511)Peak memory usage: 91 MB
% 23.96/5.39 % (920511)Instructions burned: 152 (million)
% 23.96/5.39 % (920513)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3596624775:i=14155:bd=all_2961 on theBenchmark for (2961ds/14155Mi)
% 23.96/5.39 % (920458)First to succeed.
% 23.96/5.39 % (920458)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-920452"
% 23.96/5.39 % (920458)Refutation found. Thanks to Tanya!
% 23.96/5.39 % SZS status Theorem for theBenchmark
% 23.96/5.39 % SZS output start Proof for theBenchmark
% See solution above
% 23.96/5.39 % (920458)------------------------------
% 23.96/5.39 % (920458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.96/5.39 % (920458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.96/5.39 % (920458)CaDiCaL version: 2.1.3
% 23.96/5.39 % (920458)Termination reason: Refutation
% 23.96/5.39 % (920458)Time elapsed: 2.815 s
% 23.96/5.39 % (920458)Peak memory usage: 317 MB
% 23.96/5.39 % (920458)Instructions burned: 9609 (million)
% 23.96/5.39 % (920458)------------------------------
% 23.96/5.39 % (920458)------------------------------
% 23.96/5.39 % (920452)Success in time 4.324 s
% 23.96/5.39 % Vampire exiting
%------------------------------------------------------------------------------