%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO485+1 : TPTP v9.3.1. Released v7.0.0.
% 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 09:52:46 AM UTC 2026
% Result : Theorem 22.58s 5.19s
% Output : Refutation 22.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 28 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 6 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 40 ( 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2176,axiom,
! [X0] : s(fun(fun(X0,bool),fun(fun(X0,num),num)),nsum) = s(fun(fun(X0,bool),fun(fun(X0,num),num)),i(s(fun(fun(num,fun(num,num)),fun(fun(X0,bool),fun(fun(X0,num),num))),iterate),s(fun(num,fun(num,num)),p_))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ansum) ).
fof(f2179,axiom,
p(s(bool,i(s(fun(fun(num,fun(num,num)),bool),monoidal),s(fun(num,fun(num,num)),p_)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aMONOIDALu_ADD) ).
fof(f3676,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(X0,fun(X0,X0)),bool),monoidal),s(fun(X0,fun(X0,X0)),X2))))
=> ! [X3,X4,X5] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(fun(X1,X1),fun(fun(X1,bool),bool)),permutes),s(fun(X1,X1),X4))),s(fun(X1,bool),X5))))
=> s(X0,i(s(fun(fun(X1,X0),X0),i(s(fun(fun(X1,bool),fun(fun(X1,X0),X0)),i(s(fun(fun(X0,fun(X0,X0)),fun(fun(X1,bool),fun(fun(X1,X0),X0))),iterate),s(fun(X0,fun(X0,X0)),X2))),s(fun(X1,bool),X5))),s(fun(X1,X0),X3))) = s(X0,i(s(fun(fun(X1,X0),X0),i(s(fun(fun(X1,bool),fun(fun(X1,X0),X0)),i(s(fun(fun(X0,fun(X0,X0)),fun(fun(X1,bool),fun(fun(X1,X0),X0))),iterate),s(fun(X0,fun(X0,X0)),X2))),s(fun(X1,bool),X5))),s(fun(X1,X0),i(s(fun(fun(X1,X1),fun(X1,X0)),i(s(fun(fun(X1,X0),fun(fun(X1,X1),fun(X1,X0))),o),s(fun(X1,X0),X3))),s(fun(X1,X1),X4))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aITERATEu_PERMUTE) ).
fof(f3677,conjecture,
! [X0,X1,X2,X3] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X3))))
=> s(num,i(s(fun(fun(X0,num),num),i(s(fun(fun(X0,bool),fun(fun(X0,num),num)),nsum),s(fun(X0,bool),X3))),s(fun(X0,num),X1))) = s(num,i(s(fun(fun(X0,num),num),i(s(fun(fun(X0,bool),fun(fun(X0,num),num)),nsum),s(fun(X0,bool),X3))),s(fun(X0,num),i(s(fun(fun(X0,X0),fun(X0,num)),i(s(fun(fun(X0,num),fun(fun(X0,X0),fun(X0,num))),o),s(fun(X0,num),X1))),s(fun(X0,X0),X2))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNSUMu_PERMUTE) ).
fof(f3678,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X3))))
=> s(num,i(s(fun(fun(X0,num),num),i(s(fun(fun(X0,bool),fun(fun(X0,num),num)),nsum),s(fun(X0,bool),X3))),s(fun(X0,num),X1))) = s(num,i(s(fun(fun(X0,num),num),i(s(fun(fun(X0,bool),fun(fun(X0,num),num)),nsum),s(fun(X0,bool),X3))),s(fun(X0,num),i(s(fun(fun(X0,X0),fun(X0,num)),i(s(fun(fun(X0,num),fun(fun(X0,X0),fun(X0,num))),o),s(fun(X0,num),X1))),s(fun(X0,X0),X2))))) ),
inference(negated_conjecture,[status(cth)],[f3677]) ).
fof(f4117,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( s(X0,i(s(fun(fun(X1,X0),X0),i(s(fun(fun(X1,bool),fun(fun(X1,X0),X0)),i(s(fun(fun(X0,fun(X0,X0)),fun(fun(X1,bool),fun(fun(X1,X0),X0))),iterate),s(fun(X0,fun(X0,X0)),X2))),s(fun(X1,bool),X5))),s(fun(X1,X0),X3))) = s(X0,i(s(fun(fun(X1,X0),X0),i(s(fun(fun(X1,bool),fun(fun(X1,X0),X0)),i(s(fun(fun(X0,fun(X0,X0)),fun(fun(X1,bool),fun(fun(X1,X0),X0))),iterate),s(fun(X0,fun(X0,X0)),X2))),s(fun(X1,bool),X5))),s(fun(X1,X0),i(s(fun(fun(X1,X1),fun(X1,X0)),i(s(fun(fun(X1,X0),fun(fun(X1,X1),fun(X1,X0))),o),s(fun(X1,X0),X3))),s(fun(X1,X1),X4)))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(fun(X1,X1),fun(fun(X1,bool),bool)),permutes),s(fun(X1,X1),X4))),s(fun(X1,bool),X5)))) )
| ~ p(s(bool,i(s(fun(fun(X0,fun(X0,X0)),bool),monoidal),s(fun(X0,fun(X0,X0)),X2)))) ),
inference(ennf_transformation,[],[f3676]) ).
fof(f4118,plain,
? [X0,X1,X2,X3] :
( s(num,i(s(fun(fun(X0,num),num),i(s(fun(fun(X0,bool),fun(fun(X0,num),num)),nsum),s(fun(X0,bool),X3))),s(fun(X0,num),X1))) != s(num,i(s(fun(fun(X0,num),num),i(s(fun(fun(X0,bool),fun(fun(X0,num),num)),nsum),s(fun(X0,bool),X3))),s(fun(X0,num),i(s(fun(fun(X0,X0),fun(X0,num)),i(s(fun(fun(X0,num),fun(fun(X0,X0),fun(X0,num))),o),s(fun(X0,num),X1))),s(fun(X0,X0),X2)))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X3)))) ),
inference(ennf_transformation,[],[f3678]) ).
fof(f5510,plain,
( s(num,i(s(fun(fun(sK91,num),num),i(s(fun(fun(sK91,bool),fun(fun(sK91,num),num)),nsum),s(fun(sK91,bool),sK94))),s(fun(sK91,num),sK92))) != s(num,i(s(fun(fun(sK91,num),num),i(s(fun(fun(sK91,bool),fun(fun(sK91,num),num)),nsum),s(fun(sK91,bool),sK94))),s(fun(sK91,num),i(s(fun(fun(sK91,sK91),fun(sK91,num)),i(s(fun(fun(sK91,num),fun(fun(sK91,sK91),fun(sK91,num))),o),s(fun(sK91,num),sK92))),s(fun(sK91,sK91),sK93)))))
& p(s(bool,i(s(fun(fun(sK91,bool),bool),i(s(fun(fun(sK91,sK91),fun(fun(sK91,bool),bool)),permutes),s(fun(sK91,sK91),sK93))),s(fun(sK91,bool),sK94)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91,sK92,sK93,sK94]),skolemize(X0,sK91),skolemize(X1,sK92),skolemize(X2,sK93),skolemize(X3,sK94)],[f4118]) ).
fof(f7569,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(bool,i(s(fun(fun(X0,fun(X0,X0)),bool),monoidal),s(fun(X0,fun(X0,X0)),X2))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(fun(X1,X1),fun(fun(X1,bool),bool)),permutes),s(fun(X1,X1),X4))),s(fun(X1,bool),X5))))
| s(X0,i(s(fun(fun(X1,X0),X0),i(s(fun(fun(X1,bool),fun(fun(X1,X0),X0)),i(s(fun(fun(X0,fun(X0,X0)),fun(fun(X1,bool),fun(fun(X1,X0),X0))),iterate),s(fun(X0,fun(X0,X0)),X2))),s(fun(X1,bool),X5))),s(fun(X1,X0),X3))) = s(X0,i(s(fun(fun(X1,X0),X0),i(s(fun(fun(X1,bool),fun(fun(X1,X0),X0)),i(s(fun(fun(X0,fun(X0,X0)),fun(fun(X1,bool),fun(fun(X1,X0),X0))),iterate),s(fun(X0,fun(X0,X0)),X2))),s(fun(X1,bool),X5))),s(fun(X1,X0),i(s(fun(fun(X1,X1),fun(X1,X0)),i(s(fun(fun(X1,X0),fun(fun(X1,X1),fun(X1,X0))),o),s(fun(X1,X0),X3))),s(fun(X1,X1),X4))))) ),
inference(cnf_transformation,[],[f4117]) ).
fof(f7570,plain,
p(s(bool,i(s(fun(fun(sK91,bool),bool),i(s(fun(fun(sK91,sK91),fun(fun(sK91,bool),bool)),permutes),s(fun(sK91,sK91),sK93))),s(fun(sK91,bool),sK94)))),
inference(cnf_transformation,[],[f5510]) ).
fof(f7571,plain,
s(num,i(s(fun(fun(sK91,num),num),i(s(fun(fun(sK91,bool),fun(fun(sK91,num),num)),nsum),s(fun(sK91,bool),sK94))),s(fun(sK91,num),sK92))) != s(num,i(s(fun(fun(sK91,num),num),i(s(fun(fun(sK91,bool),fun(fun(sK91,num),num)),nsum),s(fun(sK91,bool),sK94))),s(fun(sK91,num),i(s(fun(fun(sK91,sK91),fun(sK91,num)),i(s(fun(fun(sK91,num),fun(fun(sK91,sK91),fun(sK91,num))),o),s(fun(sK91,num),sK92))),s(fun(sK91,sK91),sK93))))),
inference(cnf_transformation,[],[f5510]) ).
fof(f8950,plain,
p(s(bool,i(s(fun(fun(num,fun(num,num)),bool),monoidal),s(fun(num,fun(num,num)),p_)))),
inference(cnf_transformation,[],[f2179]) ).
fof(f8953,plain,
! [X0] : s(fun(fun(X0,bool),fun(fun(X0,num),num)),nsum) = s(fun(fun(X0,bool),fun(fun(X0,num),num)),i(s(fun(fun(num,fun(num,num)),fun(fun(X0,bool),fun(fun(X0,num),num))),iterate),s(fun(num,fun(num,num)),p_))),
inference(cnf_transformation,[],[f2176]) ).
fof(f14479,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2))))
| s(num,i(s(fun(fun(X0,num),num),i(s(fun(fun(X0,bool),fun(fun(X0,num),num)),i(s(fun(fun(num,fun(num,num)),fun(fun(X0,bool),fun(fun(X0,num),num))),iterate),s(fun(num,fun(num,num)),p_))),s(fun(X0,bool),X2))),s(fun(X0,num),X3))) = s(num,i(s(fun(fun(X0,num),num),i(s(fun(fun(X0,bool),fun(fun(X0,num),num)),i(s(fun(fun(num,fun(num,num)),fun(fun(X0,bool),fun(fun(X0,num),num))),iterate),s(fun(num,fun(num,num)),p_))),s(fun(X0,bool),X2))),s(fun(X0,num),i(s(fun(fun(X0,X0),fun(X0,num)),i(s(fun(fun(X0,num),fun(fun(X0,X0),fun(X0,num))),o),s(fun(X0,num),X3))),s(fun(X0,X0),X1))))) ),
inference(resolution,[],[f8950,f7569]) ).
fof(f14480,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2))))
| s(num,i(s(fun(fun(X0,num),num),i(s(fun(fun(X0,bool),fun(fun(X0,num),num)),nsum),s(fun(X0,bool),X2))),s(fun(X0,num),X3))) = s(num,i(s(fun(fun(X0,num),num),i(s(fun(fun(X0,bool),fun(fun(X0,num),num)),nsum),s(fun(X0,bool),X2))),s(fun(X0,num),i(s(fun(fun(X0,X0),fun(X0,num)),i(s(fun(fun(X0,num),fun(fun(X0,X0),fun(X0,num))),o),s(fun(X0,num),X3))),s(fun(X0,X0),X1))))) ),
inference(forward_demodulation,[],[f14479,f8953]) ).
fof(f14481,plain,
$false,
inference(unit_resulting_resolution,[],[f14480,f7570,f7571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO485+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n014.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 08:16:32 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 12.69/3.76 % (500626)Detected formulas, will run a generic FOF schedule.
% 12.69/3.76 % (500632)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=3706031133:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 12.69/3.76 % (500636)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1946772483:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 12.69/3.76 % (500634)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=731092569:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 12.69/3.76 % (500633)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=3902450871:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 12.69/3.76 % (500637)dis-21_1_sil=8000:lcm=predicate:random_seed=3354554251: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)
% 12.69/3.76 % (500635)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2419808272:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 12.69/3.76 % (500631)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=2759039672:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 12.69/3.76 % (500636)Instruction limit reached!
% 12.69/3.76 % (500636)------------------------------
% 12.69/3.76 % (500636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.69/3.76 % (500636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.69/3.76 % (500636)CaDiCaL version: 2.1.3
% 12.69/3.76 % (500636)Termination reason: Instruction limit
% 12.69/3.76 % (500636)Termination phase: Property scanning
% 12.69/3.76 % (500636)Time elapsed: 0.049 s
% 12.69/3.76 % (500636)Peak memory usage: 90 MB
% 12.69/3.76 % (500636)Instructions burned: 140 (million)
% 12.69/3.76 % (500634)Instruction limit reached!
% 12.69/3.76 % (500634)------------------------------
% 12.69/3.76 % (500634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.69/3.76 % (500634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.69/3.76 % (500634)CaDiCaL version: 2.1.3
% 12.69/3.76 % (500634)Termination reason: Instruction limit
% 12.69/3.76 % (500634)Termination phase: Preprocessing 3
% 12.69/3.76 % (500634)Time elapsed: 0.057 s
% 12.69/3.76 % (500634)Peak memory usage: 92 MB
% 12.69/3.76 % (500634)Instructions burned: 110 (million)
% 12.69/3.76 % (500637)Instruction limit reached!
% 12.69/3.76 % (500637)------------------------------
% 12.69/3.76 % (500637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.69/3.76 % (500637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.69/3.76 % (500637)CaDiCaL version: 2.1.3
% 12.69/3.76 % (500637)Termination reason: Instruction limit
% 12.69/3.76 % (500637)Termination phase: SInE selection
% 12.69/3.76 % (500637)Time elapsed: 0.058 s
% 12.69/3.76 % (500637)Peak memory usage: 90 MB
% 12.69/3.76 % (500637)Instructions burned: 130 (million)
% 12.69/3.76 % (500635)Instruction limit reached!
% 12.69/3.76 % (500635)------------------------------
% 12.69/3.76 % (500635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.69/3.76 % (500635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.69/3.76 % (500635)CaDiCaL version: 2.1.3
% 12.69/3.76 % (500635)Termination reason: Instruction limit
% 12.69/3.76 % (500635)Termination phase: Preprocessing 1
% 12.69/3.76 % (500635)Time elapsed: 0.062 s
% 12.69/3.76 % (500635)Peak memory usage: 91 MB
% 12.69/3.76 % (500635)Instructions burned: 119 (million)
% 12.69/3.76 % (500645)lrs+10_1_sil=8000:sp=occurrence:random_seed=1398360698:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 12.69/3.76 % (500646)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2937647299:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 12.69/3.76 % (500648)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=734076227:s2a=on:i=248:s2at=1.23:gtg=position_2985 on theBenchmark for (2985ds/248Mi)
% 12.69/3.76 % (500647)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3231618855:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 12.69/3.76 % (500646)Instruction limit reached!
% 12.69/3.76 % (500646)------------------------------
% 19.67/4.79 % (500646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.67/4.79 % (500646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.67/4.79 % (500646)CaDiCaL version: 2.1.3
% 19.67/4.79 % (500646)Termination reason: Instruction limit
% 19.67/4.79 % (500646)Termination phase: Property scanning
% 19.67/4.79 % (500646)Time elapsed: 0.054 s
% 19.67/4.79 % (500646)Peak memory usage: 90 MB
% 19.67/4.79 % (500646)Instructions burned: 157 (million)
% 19.67/4.79 % (500648)Instruction limit reached!
% 19.67/4.79 % (500648)------------------------------
% 19.67/4.79 % (500648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.67/4.79 % (500648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.67/4.79 % (500648)CaDiCaL version: 2.1.3
% 19.67/4.79 % (500648)Termination reason: Instruction limit
% 19.67/4.79 % (500648)Termination phase: Property scanning
% 19.67/4.79 % (500648)Time elapsed: 0.085 s
% 19.67/4.79 % (500648)Peak memory usage: 90 MB
% 19.67/4.79 % (500648)Instructions burned: 250 (million)
% 19.67/4.79 % (500645)Instruction limit reached!
% 19.67/4.79 % (500645)------------------------------
% 19.67/4.79 % (500645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.67/4.79 % (500645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.67/4.79 % (500645)CaDiCaL version: 2.1.3
% 19.67/4.79 % (500645)Termination reason: Instruction limit
% 19.67/4.79 % (500645)Termination phase: Preprocessing 3
% 19.67/4.79 % (500645)Time elapsed: 0.147 s
% 19.67/4.79 % (500645)Peak memory usage: 98 MB
% 19.67/4.79 % (500645)Instructions burned: 286 (million)
% 19.67/4.79 % (500647)Instruction limit reached!
% 19.67/4.79 % (500647)------------------------------
% 19.67/4.79 % (500647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.67/4.79 % (500647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.67/4.79 % (500647)CaDiCaL version: 2.1.3
% 19.67/4.79 % (500647)Termination reason: Instruction limit
% 19.67/4.79 % (500647)Termination phase: Saturation
% 19.67/4.79 % (500647)Time elapsed: 0.153 s
% 19.67/4.79 % (500647)Peak memory usage: 96 MB
% 19.67/4.79 % (500647)Instructions burned: 327 (million)
% 19.67/4.79 % (500653)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1776487676:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2983 on theBenchmark for (2983ds/294Mi)
% 19.67/4.79 % (500656)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2300531982:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 19.67/4.79 % (500657)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3537262875:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 19.67/4.79 % (500658)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3916505903:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 19.67/4.79 % (500657)Instruction limit reached!
% 19.67/4.79 % (500657)------------------------------
% 19.67/4.79 % (500657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.67/4.79 % (500657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.67/4.79 % (500657)CaDiCaL version: 2.1.3
% 19.67/4.79 % (500657)Termination reason: Instruction limit
% 19.67/4.79 % (500657)Termination phase: Preprocessing 1
% 19.67/4.79 % (500657)Time elapsed: 0.062 s
% 19.67/4.79 % (500657)Peak memory usage: 91 MB
% 19.67/4.79 % (500657)Instructions burned: 114 (million)
% 19.67/4.79 % (500653)Instruction limit reached!
% 19.67/4.79 % (500653)------------------------------
% 19.67/4.79 % (500653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.67/4.79 % (500653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.67/4.79 % (500653)CaDiCaL version: 2.1.3
% 19.67/4.79 % (500653)Termination reason: Instruction limit
% 19.67/4.79 % (500653)Termination phase: Preprocessing 3
% 19.67/4.79 % (500653)Time elapsed: 0.150 s
% 19.67/4.79 % (500653)Peak memory usage: 95 MB
% 19.67/4.79 % (500653)Instructions burned: 295 (million)
% 19.67/4.79 % (500658)Instruction limit reached!
% 19.67/4.79 % (500658)------------------------------
% 19.67/4.79 % (500658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.67/4.79 % (500658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.67/4.79 % (500658)CaDiCaL version: 2.1.3
% 19.67/4.79 % (500658)Termination reason: Instruction limit
% 19.67/4.79 % (500658)Termination phase: Naming
% 19.67/4.79 % (500658)Time elapsed: 0.073 s
% 19.67/4.79 % (500658)Peak memory usage: 94 MB
% 20.98/4.99 % (500658)Instructions burned: 128 (million)
% 20.98/4.99 % (500663)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2817156693:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2980 on theBenchmark for (2980ds/114Mi)
% 20.98/4.99 % (500664)lrs+10_1_sil=8000:sp=occurrence:random_seed=2401644989:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 20.98/4.99 % (500663)Instruction limit reached!
% 20.98/4.99 % (500663)------------------------------
% 20.98/4.99 % (500663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/4.99 % (500663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/4.99 % (500663)CaDiCaL version: 2.1.3
% 20.98/4.99 % (500663)Termination reason: Instruction limit
% 20.98/4.99 % (500663)Termination phase: Property scanning
% 20.98/4.99 % (500663)Time elapsed: 0.040 s
% 20.98/4.99 % (500663)Peak memory usage: 91 MB
% 20.98/4.99 % (500663)Instructions burned: 116 (million)
% 20.98/4.99 % (500665)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2062171057:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 20.98/4.99 % (500668)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2341909859:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 20.98/4.99 % (500665)Instruction limit reached!
% 20.98/4.99 % (500665)------------------------------
% 20.98/4.99 % (500665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/4.99 % (500665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/4.99 % (500665)CaDiCaL version: 2.1.3
% 20.98/4.99 % (500665)Termination reason: Instruction limit
% 20.98/4.99 % (500665)Termination phase: Saturation
% 20.98/4.99 % (500665)Time elapsed: 0.195 s
% 20.98/4.99 % (500665)Peak memory usage: 98 MB
% 20.98/4.99 % (500665)Instructions burned: 439 (million)
% 20.98/4.99 % (500664)Instruction limit reached!
% 20.98/4.99 % (500664)------------------------------
% 20.98/4.99 % (500664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/4.99 % (500664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/4.99 % (500664)CaDiCaL version: 2.1.3
% 20.98/4.99 % (500664)Termination reason: Instruction limit
% 20.98/4.99 % (500664)Termination phase: Property scanning
% 20.98/4.99 % (500664)Time elapsed: 0.393 s
% 20.98/4.99 % (500664)Peak memory usage: 101 MB
% 20.98/4.99 % (500664)Instructions burned: 908 (million)
% 20.98/4.99 % (500671)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3508883013:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 20.98/4.99 % (500671)Instruction limit reached!
% 20.98/4.99 % (500671)------------------------------
% 20.98/4.99 % (500671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/4.99 % (500671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/4.99 % (500671)CaDiCaL version: 2.1.3
% 20.98/4.99 % (500671)Termination reason: Instruction limit
% 20.98/4.99 % (500671)Termination phase: Preprocessing 2
% 20.98/4.99 % (500671)Time elapsed: 0.078 s
% 20.98/4.99 % (500671)Peak memory usage: 92 MB
% 20.98/4.99 % (500671)Instructions burned: 134 (million)
% 20.98/4.99 % (500672)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1734638430:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 20.98/4.99 % (500656)Instruction limit reached!
% 20.98/4.99 % (500656)------------------------------
% 20.98/4.99 % (500656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/4.99 % (500656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/4.99 % (500656)CaDiCaL version: 2.1.3
% 20.98/4.99 % (500656)Termination reason: Instruction limit
% 20.98/4.99 % (500656)Termination phase: Twee Goal Transformation
% 20.98/4.99 % (500656)Time elapsed: 0.895 s
% 20.98/4.99 % (500656)Peak memory usage: 107 MB
% 20.98/4.99 % (500656)Instructions burned: 2353 (million)
% 20.98/4.99 % (500674)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2293748793:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 20.98/4.99 % (500676)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=127020264:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 20.98/4.99 % (500676)Instruction limit reached!
% 20.98/4.99 % (500676)------------------------------
% 20.98/4.99 % (500676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/4.99 % (500676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/4.99 % (500676)CaDiCaL version: 2.1.3
% 20.98/4.99 % (500676)Termination reason: Instruction limit
% 20.98/4.99 % (500676)Termination phase: Property scanning
% 20.98/4.99 % (500676)Time elapsed: 0.045 s
% 20.98/4.99 % (500676)Peak memory usage: 90 MB
% 20.98/4.99 % (500676)Instructions burned: 128 (million)
% 20.98/4.99 % (500672)Instruction limit reached!
% 20.98/4.99 % (500672)------------------------------
% 20.98/4.99 % (500672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/4.99 % (500672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/4.99 % (500672)CaDiCaL version: 2.1.3
% 20.98/4.99 % (500672)Termination reason: Instruction limit
% 20.98/4.99 % (500672)Termination phase: Preprocessing 3
% 20.98/4.99 % (500672)Time elapsed: 0.298 s
% 20.98/4.99 % (500672)Peak memory usage: 102 MB
% 20.98/4.99 % (500672)Instructions burned: 594 (million)
% 20.98/4.99 % (500679)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2752360763:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 20.98/4.99 % (500680)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2675734608:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/141Mi)
% 20.98/4.99 % (500679)Instruction limit reached!
% 20.98/4.99 % (500679)------------------------------
% 20.98/4.99 % (500679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/4.99 % (500679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/4.99 % (500679)CaDiCaL version: 2.1.3
% 20.98/4.99 % (500679)Termination reason: Instruction limit
% 20.98/4.99 % (500679)Termination phase: Property scanning
% 20.98/4.99 % (500679)Time elapsed: 0.047 s
% 20.98/4.99 % (500679)Peak memory usage: 91 MB
% 20.98/4.99 % (500679)Instructions burned: 135 (million)
% 20.98/4.99 % (500680)Instruction limit reached!
% 20.98/4.99 % (500680)------------------------------
% 20.98/4.99 % (500680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/4.99 % (500680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/4.99 % (500680)CaDiCaL version: 2.1.3
% 20.98/4.99 % (500680)Termination reason: Instruction limit
% 20.98/4.99 % (500680)Termination phase: Property scanning
% 20.98/4.99 % (500680)Time elapsed: 0.073 s
% 20.98/4.99 % (500680)Peak memory usage: 93 MB
% 20.98/4.99 % (500680)Instructions burned: 143 (million)
% 20.98/4.99 % (500683)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=852770340:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2968 on theBenchmark for (2968ds/431Mi)
% 20.98/4.99 % (500684)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=1662414557:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 20.98/4.99 % (500683)Refutation not found, incomplete strategy
% 20.98/4.99 % (500683)------------------------------
% 20.98/4.99 % (500683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/4.99 % (500683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/4.99 % (500683)CaDiCaL version: 2.1.3
% 20.98/4.99 % (500683)Termination reason: Refutation not found, incomplete strategy
% 20.98/4.99 % (500683)Time elapsed: 0.144 s
% 20.98/4.99 % (500683)Peak memory usage: 97 MB
% 20.98/4.99 % (500683)Instructions burned: 301 (million)
% 20.98/4.99 % (500683)------------------------------
% 20.98/4.99 % (500683)------------------------------
% 20.98/4.99 % (500687)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=1015150686:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2963 on theBenchmark for (2963ds/150Mi)
% 20.98/4.99 % (500632)First to succeed.
% 20.98/4.99 % (500632)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-500626"
% 20.98/4.99 % (500687)Instruction limit reached!
% 20.98/4.99 % (500687)------------------------------
% 20.98/4.99 % (500687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/4.99 % (500687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/4.99 % (500687)CaDiCaL version: 2.1.3
% 20.98/4.99 % (500687)Termination reason: Instruction limit
% 20.98/4.99 % (500687)Termination phase: Preprocessing 1
% 22.58/5.19 % (500687)Time elapsed: 0.083 s
% 22.58/5.19 % (500687)Peak memory usage: 92 MB
% 22.58/5.19 % (500687)Instructions burned: 150 (million)
% 22.58/5.19 % (500632)Refutation found. Thanks to Tanya!
% 22.58/5.19 % SZS status Theorem for theBenchmark
% 22.58/5.19 % SZS output start Proof for theBenchmark
% See solution above
% 22.58/5.19 % (500632)------------------------------
% 22.58/5.19 % (500632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.58/5.19 % (500632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/5.19 % (500632)CaDiCaL version: 2.1.3
% 22.58/5.19 % (500632)Termination reason: Refutation
% 22.58/5.19 % (500632)Time elapsed: 2.614 s
% 22.58/5.19 % (500632)Peak memory usage: 317 MB
% 22.58/5.19 % (500632)Instructions burned: 8868 (million)
% 22.58/5.19 % (500632)------------------------------
% 22.58/5.19 % (500632)------------------------------
% 22.58/5.19 % (500626)Success in time 4.12 s
% 22.58/5.19 % Vampire exiting
%------------------------------------------------------------------------------