%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP012+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:28:06 AM UTC 2026
% Result : Theorem 0.18s 9.60s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 22 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 21 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13827,axiom,
! [X0,X1] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))))) = s(tyop_2Einteger_2Eint,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__SUB__ADD2) ).
fof(f14068,axiom,
! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__LADD) ).
fof(f14072,conjecture,
! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
fof(f14073,negated_conjecture,
~ ! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) ),
inference(negated_conjecture,[status(cth)],[f14072]) ).
fof(f14163,plain,
? [X0,X1,X2] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1)))))
& p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))) ),
inference(ennf_transformation,[],[f14073]) ).
fof(f14487,plain,
! [X0,X1,X2] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))) ),
inference(ennf_transformation,[],[f14068]) ).
fof(f15317,plain,
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,sK90))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK90),s(tyop_2Einteger_2Eint,sK89)))))
& p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,sK89)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88,sK89,sK90]),skolemize(X0,sK88),skolemize(X1,sK89),skolemize(X2,sK90)],[f14163]) ).
fof(f17034,plain,
p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,sK89)))),
inference(cnf_transformation,[],[f15317]) ).
fof(f17035,plain,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,sK90))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK90),s(tyop_2Einteger_2Eint,sK89))))),
inference(cnf_transformation,[],[f15317]) ).
fof(f18049,plain,
! [X0,X1] : s(tyop_2Einteger_2Eint,X0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))))),
inference(cnf_transformation,[],[f13827]) ).
fof(f18064,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))))
| s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))))) ),
inference(cnf_transformation,[],[f14487]) ).
fof(f22746,plain,
! [X0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,X0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,sK89),s(tyop_2Einteger_2Eint,X0))))),
inference(resolution,[],[f18064,f17034]) ).
fof(f22894,plain,
! [X0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,X0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,sK89))))),
inference(superposition,[],[f22746,f18049]) ).
fof(f22918,plain,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,sK90))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK88),s(tyop_2Einteger_2Eint,sK90))),
inference(superposition,[],[f17035,f22894]) ).
fof(f22925,plain,
$false,
inference(trivial_inequality_removal,[],[f22918]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP012+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n007.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 11:56:49 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 23.34/7.15 % (1277030)Detected formulas, will run a generic FOF schedule.
% 23.34/7.15 % (1277179)dis-21_1_sil=8000:lcm=predicate:random_seed=3631475823:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2965 on theBenchmark for (2965ds/129Mi)
% 23.34/7.15 % (1277176)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=804976295:i=109:sd=1:ins=1:gsp=on:ss=axioms_2965 on theBenchmark for (2965ds/109Mi)
% 23.34/7.15 % (1277174)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=1608550922:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2965 on theBenchmark for (2965ds/134677Mi)
% 23.34/7.15 % (1277175)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=1519534862:i=141695:sd=1:nm=32:gsp=on:ss=included_2965 on theBenchmark for (2965ds/141695Mi)
% 23.34/7.15 % (1277173)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=3253195776:i=141193_2965 on theBenchmark for (2965ds/141193Mi)
% 23.34/7.15 % (1277178)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2311109119:s2a=on:i=139:gtg=position_2965 on theBenchmark for (2965ds/139Mi)
% 23.34/7.15 % (1277177)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1128138121:i=119:av=off:ss=axioms_2965 on theBenchmark for (2965ds/119Mi)
% 23.34/7.15 % (1277176)Instruction limit reached!
% 23.34/7.15 % (1277176)------------------------------
% 23.34/7.15 % (1277176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.34/7.15 % (1277176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.34/7.15 % (1277176)CaDiCaL version: 2.1.3
% 23.34/7.15 % (1277176)Termination reason: Instruction limit
% 23.34/7.15 % (1277176)Termination phase: SInE selection
% 23.34/7.15 % (1277176)Time elapsed: 0.074 s
% 23.34/7.15 % (1277176)Peak memory usage: 109 MB
% 23.34/7.15 % (1277176)Instructions burned: 110 (million)
% 23.34/7.15 % (1277179)Instruction limit reached!
% 23.34/7.15 % (1277179)------------------------------
% 23.34/7.15 % (1277179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.34/7.15 % (1277179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.34/7.15 % (1277179)CaDiCaL version: 2.1.3
% 23.34/7.15 % (1277179)Termination reason: Instruction limit
% 23.34/7.15 % (1277179)Termination phase: SInE selection
% 23.34/7.15 % (1277179)Time elapsed: 0.098 s
% 23.34/7.15 % (1277179)Peak memory usage: 109 MB
% 23.34/7.15 % (1277179)Instructions burned: 129 (million)
% 23.34/7.15 % (1277178)Instruction limit reached!
% 23.34/7.15 % (1277178)------------------------------
% 23.34/7.15 % (1277178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.34/7.15 % (1277178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.34/7.15 % (1277178)CaDiCaL version: 2.1.3
% 23.34/7.15 % (1277178)Termination reason: Instruction limit
% 23.34/7.15 % (1277178)Termination phase: Property scanning
% 23.34/7.15 % (1277178)Time elapsed: 0.102 s
% 23.34/7.15 % (1277178)Peak memory usage: 109 MB
% 23.34/7.15 % (1277178)Instructions burned: 140 (million)
% 23.34/7.15 % (1277177)Instruction limit reached!
% 23.34/7.15 % (1277177)------------------------------
% 23.34/7.15 % (1277177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.34/7.15 % (1277177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.34/7.15 % (1277177)CaDiCaL version: 2.1.3
% 23.34/7.15 % (1277177)Termination reason: Instruction limit
% 23.34/7.15 % (1277177)Termination phase: SInE selection
% 23.34/7.15 % (1277177)Time elapsed: 0.104 s
% 23.34/7.15 % (1277177)Peak memory usage: 109 MB
% 23.34/7.15 % (1277177)Instructions burned: 119 (million)
% 23.34/7.15 % (1277192)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2648614525:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/157Mi)
% 23.34/7.15 % (1277191)lrs+10_1_sil=8000:sp=occurrence:random_seed=2602894274:i=285:sd=3:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/285Mi)
% 23.34/7.15 % (1277192)Instruction limit reached!
% 23.34/7.15 % (1277192)------------------------------
% 23.34/7.15 % (1277192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.34/7.15 % (1277192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.34/7.15 % (1277192)CaDiCaL version: 2.1.3
% 23.34/7.15 % (1277192)Termination reason: Instruction limit
% 33.19/8.59 % (1277192)Termination phase: Property scanning
% 33.19/8.59 % (1277192)Time elapsed: 0.057 s
% 33.19/8.59 % (1277192)Peak memory usage: 109 MB
% 33.19/8.59 % (1277192)Instructions burned: 160 (million)
% 33.19/8.59 % (1277193)lrs+1011_1_sil=32000:sp=occurrence:random_seed=833881145:i=325:sd=1:ss=axioms:sgt=32_2961 on theBenchmark for (2961ds/325Mi)
% 33.19/8.59 % (1277195)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=4292184083:s2a=on:i=248:s2at=1.23:gtg=position_2961 on theBenchmark for (2961ds/248Mi)
% 33.19/8.59 % (1277191)Instruction limit reached!
% 33.19/8.59 % (1277191)------------------------------
% 33.19/8.59 % (1277191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.19/8.59 % (1277191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.19/8.59 % (1277191)CaDiCaL version: 2.1.3
% 33.19/8.59 % (1277191)Termination reason: Instruction limit
% 33.19/8.59 % (1277191)Termination phase: Property scanning
% 33.19/8.59 % (1277191)Time elapsed: 0.228 s
% 33.19/8.59 % (1277191)Peak memory usage: 112 MB
% 33.19/8.59 % (1277191)Instructions burned: 286 (million)
% 33.19/8.59 % (1277203)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2043962331:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2960 on theBenchmark for (2960ds/294Mi)
% 33.19/8.59 % (1277195)Instruction limit reached!
% 33.19/8.59 % (1277195)------------------------------
% 33.19/8.59 % (1277195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.19/8.59 % (1277195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.19/8.59 % (1277195)CaDiCaL version: 2.1.3
% 33.19/8.59 % (1277195)Termination reason: Instruction limit
% 33.19/8.59 % (1277195)Termination phase: Property scanning
% 33.19/8.59 % (1277195)Time elapsed: 0.171 s
% 33.19/8.59 % (1277195)Peak memory usage: 109 MB
% 33.19/8.59 % (1277195)Instructions burned: 248 (million)
% 33.19/8.59 % (1277203)Instruction limit reached!
% 33.19/8.59 % (1277203)------------------------------
% 33.19/8.59 % (1277203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.19/8.59 % (1277203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.19/8.59 % (1277203)CaDiCaL version: 2.1.3
% 33.19/8.59 % (1277203)Termination reason: Instruction limit
% 33.19/8.59 % (1277203)Termination phase: Preprocessing 1
% 33.19/8.59 % (1277203)Time elapsed: 0.140 s
% 33.19/8.59 % (1277203)Peak memory usage: 109 MB
% 33.19/8.59 % (1277203)Instructions burned: 294 (million)
% 33.19/8.59 % (1277193)Instruction limit reached!
% 33.19/8.59 % (1277193)------------------------------
% 33.19/8.59 % (1277193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.19/8.59 % (1277193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.19/8.59 % (1277193)CaDiCaL version: 2.1.3
% 33.19/8.59 % (1277193)Termination reason: Instruction limit
% 33.19/8.59 % (1277193)Termination phase: Saturation
% 33.19/8.59 % (1277193)Time elapsed: 0.304 s
% 33.19/8.59 % (1277193)Peak memory usage: 114 MB
% 33.19/8.59 % (1277193)Instructions burned: 325 (million)
% 33.19/8.59 % (1277208)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2304610408:i=2350_2958 on theBenchmark for (2958ds/2350Mi)
% 33.19/8.59 % (1277210)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=594945288:cts=off:i=113:fsr=off:ss=included:sgt=4_2957 on theBenchmark for (2957ds/113Mi)
% 33.19/8.59 % (1277211)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1549772592:i=127:av=off:fsr=off:sup=off_2956 on theBenchmark for (2956ds/127Mi)
% 33.19/8.59 % (1277210)Instruction limit reached!
% 33.19/8.59 % (1277210)------------------------------
% 33.19/8.59 % (1277210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.19/8.59 % (1277210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.19/8.59 % (1277210)CaDiCaL version: 2.1.3
% 33.19/8.59 % (1277210)Termination reason: Instruction limit
% 33.19/8.59 % (1277210)Termination phase: SInE selection
% 33.19/8.59 % (1277210)Time elapsed: 0.056 s
% 33.19/8.59 % (1277210)Peak memory usage: 108 MB
% 33.19/8.59 % (1277210)Instructions burned: 114 (million)
% 33.19/8.59 % (1277211)Instruction limit reached!
% 33.19/8.59 % (1277211)------------------------------
% 33.19/8.59 % (1277211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.19/8.59 % (1277211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.19/8.59 % (1277211)CaDiCaL version: 2.1.3
% 35.58/9.25 % (1277211)Termination reason: Instruction limit
% 35.58/9.25 % (1277211)Termination phase: Preprocessing 1
% 35.58/9.25 % (1277211)Time elapsed: 0.093 s
% 35.58/9.25 % (1277211)Peak memory usage: 110 MB
% 35.58/9.25 % (1277211)Instructions burned: 129 (million)
% 35.58/9.25 % (1277214)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2375605360:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2956 on theBenchmark for (2956ds/114Mi)
% 35.58/9.25 % (1277214)Instruction limit reached!
% 35.58/9.25 % (1277214)------------------------------
% 35.58/9.25 % (1277214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.58/9.25 % (1277214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/9.25 % (1277214)CaDiCaL version: 2.1.3
% 35.58/9.25 % (1277214)Termination reason: Instruction limit
% 35.58/9.25 % (1277214)Termination phase: Property scanning
% 35.58/9.25 % (1277214)Time elapsed: 0.090 s
% 35.58/9.25 % (1277214)Peak memory usage: 109 MB
% 35.58/9.25 % (1277214)Instructions burned: 115 (million)
% 35.58/9.25 % (1277220)lrs+10_1_sil=8000:sp=occurrence:random_seed=2950601819:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2954 on theBenchmark for (2954ds/907Mi)
% 35.58/9.25 % (1277221)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3858139399:i=437:sd=1:aac=none:ss=included_2953 on theBenchmark for (2953ds/437Mi)
% 35.58/9.25 % (1277225)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3985799050:i=5202:ss=axioms:sgt=16_2952 on theBenchmark for (2952ds/5202Mi)
% 35.58/9.25 % (1277220)Instruction limit reached!
% 35.58/9.25 % (1277220)------------------------------
% 35.58/9.25 % (1277220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.58/9.25 % (1277220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/9.25 % (1277220)CaDiCaL version: 2.1.3
% 35.58/9.25 % (1277220)Termination reason: Instruction limit
% 35.58/9.25 % (1277220)Termination phase: Saturation
% 35.58/9.25 % (1277220)Time elapsed: 0.406 s
% 35.58/9.25 % (1277220)Peak memory usage: 120 MB
% 35.58/9.25 % (1277220)Instructions burned: 908 (million)
% 35.58/9.25 % (1277221)Instruction limit reached!
% 35.58/9.25 % (1277221)------------------------------
% 35.58/9.25 % (1277221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.58/9.25 % (1277221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/9.25 % (1277221)CaDiCaL version: 2.1.3
% 35.58/9.25 % (1277221)Termination reason: Instruction limit
% 35.58/9.25 % (1277221)Termination phase: Property scanning
% 35.58/9.25 % (1277221)Time elapsed: 0.386 s
% 35.58/9.25 % (1277221)Peak memory usage: 115 MB
% 35.58/9.25 % (1277221)Instructions burned: 438 (million)
% 35.58/9.25 % (1277229)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1897657901:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2948 on theBenchmark for (2948ds/134Mi)
% 35.58/9.25 % (1277229)Instruction limit reached!
% 35.58/9.25 % (1277229)------------------------------
% 35.58/9.25 % (1277229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.58/9.25 % (1277229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/9.25 % (1277229)CaDiCaL version: 2.1.3
% 35.58/9.25 % (1277229)Termination reason: Instruction limit
% 35.58/9.25 % (1277229)Termination phase: SInE selection
% 35.58/9.25 % (1277229)Time elapsed: 0.064 s
% 35.58/9.25 % (1277229)Peak memory usage: 109 MB
% 35.58/9.25 % (1277229)Instructions burned: 135 (million)
% 35.58/9.25 % (1277230)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2214647432:st=8:i=592:sd=3:ep=RST:ss=axioms_2947 on theBenchmark for (2947ds/592Mi)
% 35.58/9.25 % (1277234)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4194932396:st=3:i=13193:sd=3:ss=axioms_2945 on theBenchmark for (2945ds/13193Mi)
% 35.58/9.25 % (1277230)Instruction limit reached!
% 35.58/9.25 % (1277230)------------------------------
% 35.58/9.25 % (1277230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.58/9.25 % (1277230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/9.25 % (1277230)CaDiCaL version: 2.1.3
% 35.58/9.25 % (1277230)Termination reason: Instruction limit
% 35.58/9.25 % (1277230)Termination phase: Preprocessing 3
% 35.58/9.25 % (1277230)Time elapsed: 0.529 s
% 35.58/9.25 % (1277230)Peak memory usage: 117 MB
% 35.58/9.25 % (1277230)Instructions burned: 592 (million)
% 35.58/9.25 % (1277208)Instruction limit reached!
% 35.58/9.25 % (1277208)------------------------------
% 35.58/9.25 % (1277208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/9.60 % (1277208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/9.60 % (1277208)CaDiCaL version: 2.1.3
% 0.18/9.60 % (1277208)Termination reason: Instruction limit
% 0.18/9.60 % (1277208)Termination phase: Preprocessing 3
% 0.18/9.60 % (1277208)Time elapsed: 1.847 s
% 0.18/9.60 % (1277208)Peak memory usage: 151 MB
% 0.18/9.60 % (1277208)Instructions burned: 2352 (million)
% 0.18/9.60 % (1277237)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=3688596999:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2939 on theBenchmark for (2939ds/125Mi)
% 0.18/9.60 % (1277237)Instruction limit reached!
% 0.18/9.60 % (1277237)------------------------------
% 0.18/9.60 % (1277237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/9.60 % (1277237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/9.60 % (1277237)CaDiCaL version: 2.1.3
% 0.18/9.60 % (1277237)Termination reason: Instruction limit
% 0.18/9.60 % (1277237)Termination phase: Property scanning
% 0.18/9.60 % (1277237)Time elapsed: 0.099 s
% 0.18/9.60 % (1277237)Peak memory usage: 109 MB
% 0.18/9.60 % (1277237)Instructions burned: 126 (million)
% 0.18/9.60 % (1277238)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2060270800:i=134:gtgl=5:slsql=off:gtg=exists_sym_2937 on theBenchmark for (2937ds/134Mi)
% 0.18/9.60 % (1277240)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1932837310:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2935 on theBenchmark for (2935ds/141Mi)
% 0.18/9.60 % (1277238)Instruction limit reached!
% 0.18/9.60 % (1277238)------------------------------
% 0.18/9.60 % (1277238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/9.60 % (1277238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/9.60 % (1277238)CaDiCaL version: 2.1.3
% 0.18/9.60 % (1277238)Termination reason: Instruction limit
% 0.18/9.60 % (1277238)Termination phase: Property scanning
% 0.18/9.60 % (1277238)Time elapsed: 0.105 s
% 0.18/9.60 % (1277238)Peak memory usage: 109 MB
% 0.18/9.60 % (1277238)Instructions burned: 134 (million)
% 0.18/9.60 % (1277240)Instruction limit reached!
% 0.18/9.60 % (1277240)------------------------------
% 0.18/9.60 % (1277240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/9.60 % (1277240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/9.60 % (1277240)CaDiCaL version: 2.1.3
% 0.18/9.60 % (1277240)Termination reason: Instruction limit
% 0.18/9.60 % (1277240)Termination phase: SInE selection
% 0.18/9.60 % (1277240)Time elapsed: 0.123 s
% 0.18/9.60 % (1277240)Peak memory usage: 109 MB
% 0.18/9.60 % (1277240)Instructions burned: 142 (million)
% 0.18/9.60 % (1277243)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3677010426:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2933 on theBenchmark for (2933ds/431Mi)
% 0.18/9.60 % (1277246)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=798798143:i=6060:aac=none:ins=25_2932 on theBenchmark for (2932ds/6060Mi)
% 0.18/9.60 % (1277243)Instruction limit reached!
% 0.18/9.60 % (1277243)------------------------------
% 0.18/9.60 % (1277243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/9.60 % (1277243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/9.60 % (1277243)CaDiCaL version: 2.1.3
% 0.18/9.60 % (1277243)Termination reason: Instruction limit
% 0.18/9.60 % (1277243)Termination phase: Saturation
% 0.18/9.60 % (1277243)Time elapsed: 0.391 s
% 0.18/9.60 % (1277243)Peak memory usage: 115 MB
% 0.18/9.60 % (1277243)Instructions burned: 431 (million)
% 0.18/9.60 % (1277249)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=1911882569:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2926 on theBenchmark for (2926ds/150Mi)
% 0.18/9.60 % (1277249)Instruction limit reached!
% 0.18/9.60 % (1277249)------------------------------
% 0.18/9.60 % (1277249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/9.60 % (1277249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/9.60 % (1277249)CaDiCaL version: 2.1.3
% 0.18/9.60 % (1277249)Termination reason: Instruction limit
% 0.18/9.60 % (1277249)Termination phase: SInE selection
% 0.18/9.60 % (1277249)Time elapsed: 0.127 s
% 0.18/9.60 % (1277249)Peak memory usage: 109 MB
% 0.18/9.60 % (1277249)Instructions burned: 151 (million)
% 0.18/9.60 % (1277251)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3043588319:i=14155:bd=all_2922 on theBenchmark for (2922ds/14155Mi)
% 0.18/9.60 % (1277234)First to succeed.
% 0.18/9.60 % (1277234)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1277030"
% 0.18/9.60 % (1277234)Refutation found. Thanks to Tanya!
% 0.18/9.60 % SZS status Theorem for theBenchmark
% 0.18/9.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/9.60 % (1277234)------------------------------
% 0.18/9.60 % (1277234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/9.60 % (1277234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/9.60 % (1277234)CaDiCaL version: 2.1.3
% 0.18/9.60 % (1277234)Termination reason: Refutation
% 0.18/9.60 % (1277234)Time elapsed: 2.336 s
% 0.18/9.60 % (1277234)Peak memory usage: 239 MB
% 0.18/9.60 % (1277234)Instructions burned: 4598 (million)
% 0.18/9.60 % (1277234)------------------------------
% 0.18/9.60 % (1277234)------------------------------
% 0.18/9.60 % (1277030)Success in time 8.374 s
% 0.18/9.60 % Vampire exiting
%------------------------------------------------------------------------------