%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP012+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 11:34:57 AM UTC 2026
% Result : Theorem 24.69s 6.07s
% Output : Refutation 24.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 28 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 4 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 30 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0,X1] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).
fof(f40,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,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/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
fof(f41,axiom,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1))))) = 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,c_2Einteger_2Eint__neg_2E1(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,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
fof(f52,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/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
fof(f53,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)],[f52]) ).
fof(f66,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,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)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))) ),
inference(ennf_transformation,[],[f40]) ).
fof(f76,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,[],[f53]) ).
fof(f232,plain,
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK36),s(tyop_2Einteger_2Eint,sK38))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK36),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK38),s(tyop_2Einteger_2Eint,sK37)))))
& p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK36),s(tyop_2Einteger_2Eint,sK37)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37,sK38]),skolemize(X0,sK36),skolemize(X1,sK37),skolemize(X2,sK38)],[f76]) ).
fof(f339,plain,
! [X0,X1] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1))))),
inference(cnf_transformation,[],[f39]) ).
fof(f340,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,c_2Einteger_2Eint__add_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(cnf_transformation,[],[f66]) ).
fof(f342,plain,
! [X0,X1] : 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__neg_2E1(s(tyop_2Einteger_2Eint,X1))))),
inference(cnf_transformation,[],[f41]) ).
fof(f470,plain,
p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK36),s(tyop_2Einteger_2Eint,sK37)))),
inference(cnf_transformation,[],[f232]) ).
fof(f471,plain,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK36),s(tyop_2Einteger_2Eint,sK38))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK36),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK38),s(tyop_2Einteger_2Eint,sK37))))),
inference(cnf_transformation,[],[f232]) ).
fof(f661,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,X2),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1))))))) ),
inference(superposition,[],[f340,f342]) ).
fof(f662,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__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))) ),
inference(forward_demodulation,[],[f661,f339]) ).
fof(f1576,plain,
! [X0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK36),s(tyop_2Einteger_2Eint,X0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK36),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,sK37))))),
inference(resolution,[],[f662,f470]) ).
fof(f1799,plain,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK36),s(tyop_2Einteger_2Eint,sK38))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK36),s(tyop_2Einteger_2Eint,sK38))),
inference(superposition,[],[f471,f1576]) ).
fof(f1826,plain,
$false,
inference(trivial_inequality_removal,[],[f1799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP012+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n014.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 11:57:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.66/1.56 % (677851)Will run a generic schedule for satisfiability detection.
% 6.66/1.56 % (677860)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2616563132:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.66/1.56 % (677857)% WARNING: option uhcvi not known.
% 6.66/1.56 % (677856)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3203060103_2999 on theBenchmark for (2999ds/0Mi)
% 6.66/1.56 % (677857)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1966209245:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.66/1.56 % (677858)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=117418581:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.66/1.56 % (677861)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1399610209:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.66/1.56 % (677859)dis+10_1_sil=32000:sp=arity:random_seed=1870121927:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.66/1.56 % (677862)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1054428289:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.66/1.56 % (677860)Instruction limit reached!
% 6.66/1.56 % (677860)------------------------------
% 6.66/1.56 % (677860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.56 % (677860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.56 % (677860)CaDiCaL version: 2.1.3
% 6.66/1.56 % (677860)Termination reason: Instruction limit
% 6.66/1.56 % (677860)Termination phase: Saturation
% 6.66/1.56 % (677860)Time elapsed: 0.036 s
% 6.66/1.56 % (677860)Peak memory usage: 12 MB
% 6.66/1.56 % (677860)Instructions burned: 119 (million)
% 6.66/1.56 % (677870)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2582573607:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.66/1.56 % TRYING [1]
% 6.66/1.56 % TRYING [2]
% 6.66/1.56 % (677859)Instruction limit reached!
% 6.66/1.56 % (677859)------------------------------
% 6.66/1.56 % (677859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.56 % (677859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.56 % (677859)CaDiCaL version: 2.1.3
% 6.66/1.56 % (677859)Termination reason: Instruction limit
% 6.66/1.56 % (677859)Termination phase: Saturation
% 6.66/1.56 % (677859)Time elapsed: 0.060 s
% 6.66/1.56 % (677859)Peak memory usage: 12 MB
% 6.66/1.56 % (677859)Instructions burned: 104 (million)
% 6.66/1.56 % TRYING [1]
% 6.66/1.56 % TRYING [2]
% 6.66/1.56 % (677861)Instruction limit reached!
% 6.66/1.56 % (677861)------------------------------
% 6.66/1.56 % (677861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.56 % (677861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.56 % (677861)CaDiCaL version: 2.1.3
% 6.66/1.56 % (677861)Termination reason: Instruction limit
% 6.66/1.56 % (677861)Termination phase: Saturation
% 6.66/1.56 % (677861)Time elapsed: 0.072 s
% 6.66/1.56 % (677861)Peak memory usage: 12 MB
% 6.66/1.56 % (677861)Instructions burned: 134 (million)
% 6.66/1.56 % (677872)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1624187113:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.66/1.56 % TRYING [3]
% 6.66/1.56 % TRYING [3]
% 6.66/1.56 % (677873)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1664472694:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.66/1.56 % (677862)Instruction limit reached!
% 6.66/1.56 % (677862)------------------------------
% 6.66/1.56 % (677862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.56 % (677862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.56 % (677862)CaDiCaL version: 2.1.3
% 6.66/1.56 % (677862)Termination reason: Instruction limit
% 6.66/1.56 % (677862)Termination phase: Saturation
% 6.66/1.56 % (677862)Time elapsed: 0.092 s
% 6.66/1.56 % (677862)Peak memory usage: 13 MB
% 6.66/1.56 % (677862)Instructions burned: 160 (million)
% 6.66/1.56 % (677876)ott-21_1_sil=16000:fs=off:random_seed=2749797896:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.66/1.56 % (677872)Instruction limit reached!
% 6.66/1.56 % (677872)------------------------------
% 6.66/1.56 % (677872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.56 % (677872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.37/5.88 % (677872)CaDiCaL version: 2.1.3
% 37.37/5.88 % (677872)Termination reason: Instruction limit
% 37.37/5.88 % (677872)Termination phase: Saturation
% 37.37/5.88 % (677872)Time elapsed: 0.077 s
% 37.37/5.88 % (677872)Peak memory usage: 13 MB
% 37.37/5.88 % (677872)Instructions burned: 132 (million)
% 37.37/5.88 % (677878)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3956904000:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 37.37/5.88 % (677876)Instruction limit reached!
% 37.37/5.88 % (677876)------------------------------
% 37.37/5.88 % (677876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.37/5.88 % (677876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.37/5.88 % (677876)CaDiCaL version: 2.1.3
% 37.37/5.88 % (677876)Termination reason: Instruction limit
% 37.37/5.88 % (677876)Termination phase: Saturation
% 37.37/5.88 % (677876)Time elapsed: 0.089 s
% 37.37/5.88 % (677876)Peak memory usage: 13 MB
% 37.37/5.88 % (677876)Instructions burned: 182 (million)
% 37.37/5.88 % (677880)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3202391935:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 37.37/5.88 % (677870)Instruction limit reached!
% 37.37/5.88 % (677870)------------------------------
% 37.37/5.88 % (677870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.37/5.88 % (677870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.37/5.88 % (677870)CaDiCaL version: 2.1.3
% 37.37/5.88 % (677870)Termination reason: Instruction limit
% 37.37/5.88 % (677870)Termination phase: Finite model building SAT solving
% 37.37/5.88 % (677870)Time elapsed: 0.198 s
% 37.37/5.88 % (677870)Peak memory usage: 33 MB
% 37.37/5.88 % (677870)Instructions burned: 716 (million)
% 37.37/5.88 % (677882)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4026444389:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 37.37/5.88 % TRYING [1]
% 37.37/5.88 % TRYING [2]
% 37.37/5.88 % TRYING [3]
% 37.37/5.88 % (677873)Instruction limit reached!
% 37.37/5.88 % (677873)------------------------------
% 37.37/5.88 % (677873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.37/5.88 % (677873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.37/5.88 % (677873)CaDiCaL version: 2.1.3
% 37.37/5.88 % (677873)Termination reason: Instruction limit
% 37.37/5.88 % (677873)Termination phase: Saturation
% 37.37/5.88 % (677873)Time elapsed: 0.330 s
% 37.37/5.88 % (677873)Peak memory usage: 14 MB
% 37.37/5.88 % (677873)Instructions burned: 686 (million)
% 37.37/5.88 % (677884)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4182885429:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 37.37/5.88 % (677878)Instruction limit reached!
% 37.37/5.88 % (677878)------------------------------
% 37.37/5.88 % (677878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.37/5.88 % (677878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.37/5.88 % (677878)CaDiCaL version: 2.1.3
% 37.37/5.88 % (677878)Termination reason: Instruction limit
% 37.37/5.88 % (677878)Termination phase: Saturation
% 37.37/5.88 % (677878)Time elapsed: 0.269 s
% 37.37/5.88 % (677878)Peak memory usage: 13 MB
% 37.37/5.88 % (677878)Instructions burned: 478 (million)
% 37.37/5.88 % (677886)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2990179569:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 37.37/5.88 % TRYING [4]
% 37.37/5.88 % (677882)Instruction limit reached!
% 37.37/5.88 % (677882)------------------------------
% 37.37/5.88 % (677882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.37/5.88 % (677882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.37/5.88 % (677882)CaDiCaL version: 2.1.3
% 37.37/5.88 % (677882)Termination reason: Instruction limit
% 37.37/5.88 % (677882)Termination phase: Saturation
% 37.37/5.88 % (677882)Time elapsed: 0.338 s
% 37.37/5.88 % (677882)Peak memory usage: 17 MB
% 37.37/5.88 % (677882)Instructions burned: 1182 (million)
% 37.37/5.88 % (677880)Instruction limit reached!
% 37.37/5.88 % (677880)------------------------------
% 37.37/5.88 % (677880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.37/5.88 % (677880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.37/5.88 % (677880)CaDiCaL version: 2.1.3
% 37.37/5.88 % (677880)Termination reason: Instruction limit
% 37.37/5.88 % (677880)Termination phase: Finite model building SAT solving
% 37.37/5.88 % (677880)Time elapsed: 0.371 s
% 24.69/6.06 % (677880)Peak memory usage: 31 MB
% 24.69/6.06 % (677880)Instructions burned: 867 (million)
% 24.69/6.06 % (677888)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2281094384:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 24.69/6.06 % (677889)fmb+10_1_sil=64000:random_seed=1891097026:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 24.69/6.06 % TRYING [1]
% 24.69/6.06 % TRYING [2]
% 24.69/6.06 % TRYING [3]
% 24.69/6.06 % (677886)Instruction limit reached!
% 24.69/6.06 % (677886)------------------------------
% 24.69/6.06 % (677886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.06 % (677886)CaDiCaL version: 2.1.3
% 24.69/6.06 % (677886)Termination reason: Instruction limit
% 24.69/6.06 % (677886)Termination phase: Saturation
% 24.69/6.06 % (677886)Time elapsed: 0.335 s
% 24.69/6.06 % (677886)Peak memory usage: 15 MB
% 24.69/6.06 % (677886)Instructions burned: 692 (million)
% 24.69/6.06 % (677892)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=643193544:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 24.69/6.06 % (677888)Instruction limit reached!
% 24.69/6.06 % (677888)------------------------------
% 24.69/6.06 % (677888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.06 % (677888)CaDiCaL version: 2.1.3
% 24.69/6.06 % (677888)Termination reason: Instruction limit
% 24.69/6.06 % (677888)Termination phase: Saturation
% 24.69/6.06 % (677888)Time elapsed: 0.256 s
% 24.69/6.06 % (677888)Peak memory usage: 17 MB
% 24.69/6.06 % (677888)Instructions burned: 882 (million)
% 24.69/6.06 % (677884)Instruction limit reached!
% 24.69/6.06 % (677884)------------------------------
% 24.69/6.06 % (677884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.06 % (677884)CaDiCaL version: 2.1.3
% 24.69/6.06 % (677884)Termination reason: Instruction limit
% 24.69/6.06 % (677884)Termination phase: Finite model building constraint generation
% 24.69/6.06 % (677884)Time elapsed: 0.416 s
% 24.69/6.06 % (677884)Peak memory usage: 104 MB
% 24.69/6.06 % (677884)Instructions burned: 891 (million)
% 24.69/6.06 % (677894)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3413085476:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 24.69/6.06 % (677892)Cannot represent all propositional literals internally
% 24.69/6.06 % (677892)Refutation not found, incomplete strategy
% 24.69/6.06 % (677892)------------------------------
% 24.69/6.06 % (677892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.06 % (677892)CaDiCaL version: 2.1.3
% 24.69/6.06 % (677892)Termination reason: Refutation not found, incomplete strategy
% 24.69/6.06 % (677892)Time elapsed: 0.053 s
% 24.69/6.06 % (677892)Peak memory usage: 12 MB
% 24.69/6.06 % (677892)Instructions burned: 112 (million)
% 24.69/6.06 % (677892)------------------------------
% 24.69/6.06 % (677892)------------------------------
% 24.69/6.06 % (677896)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1854028240:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 24.69/6.06 % (677897)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2314067427:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 24.69/6.06 % TRYING [8]
% 24.69/6.06 % (677894)Instruction limit reached!
% 24.69/6.06 % (677894)------------------------------
% 24.69/6.06 % (677894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.06 % (677894)CaDiCaL version: 2.1.3
% 24.69/6.06 % (677894)Termination reason: Instruction limit
% 24.69/6.06 % (677894)Termination phase: Finite model building constraint generation
% 24.69/6.06 % (677894)Time elapsed: 0.189 s
% 24.69/6.06 % (677894)Peak memory usage: 76 MB
% 24.69/6.06 % (677894)Instructions burned: 921 (million)
% 24.69/6.06 % (677900)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1920057633:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 24.69/6.06 % (677900)Cannot represent all propositional literals internally
% 24.69/6.06 % (677900)Refutation not found, incomplete strategy
% 24.69/6.06 % (677900)------------------------------
% 24.69/6.06 % (677900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.06 % (677900)CaDiCaL version: 2.1.3
% 24.69/6.06 % (677900)Termination reason: Refutation not found, incomplete strategy
% 24.69/6.06 % (677900)Time elapsed: 0.028 s
% 24.69/6.06 % (677900)Peak memory usage: 12 MB
% 24.69/6.06 % (677900)Instructions burned: 112 (million)
% 24.69/6.06 % (677900)------------------------------
% 24.69/6.06 % (677900)------------------------------
% 24.69/6.06 % (677902)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=944053834:fmbsr=2.30978:i=2174_2988 on theBenchmark for (2988ds/2174Mi)
% 24.69/6.06 % TRYING [16]
% 24.69/6.06 % TRYING [4]
% 24.69/6.06 % (677902)Instruction limit reached!
% 24.69/6.06 % (677902)------------------------------
% 24.69/6.06 % (677902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.06 % (677902)CaDiCaL version: 2.1.3
% 24.69/6.06 % (677902)Termination reason: Instruction limit
% 24.69/6.06 % (677902)Termination phase: Finite model building constraint generation
% 24.69/6.06 % (677902)Time elapsed: 0.417 s
% 24.69/6.06 % (677902)Peak memory usage: 128 MB
% 24.69/6.06 % (677902)Instructions burned: 2179 (million)
% 24.69/6.06 % (677904)ott-2_1_sil=16000:newcnf=on:random_seed=4185043237:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2984 on theBenchmark for (2984ds/869Mi)
% 24.69/6.06 % (677897)Instruction limit reached!
% 24.69/6.06 % (677897)------------------------------
% 24.69/6.06 % (677897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.06 % (677897)CaDiCaL version: 2.1.3
% 24.69/6.06 % (677897)Termination reason: Instruction limit
% 24.69/6.06 % (677897)Termination phase: Saturation
% 24.69/6.06 % (677897)Time elapsed: 0.817 s
% 24.69/6.06 % (677897)Peak memory usage: 27 MB
% 24.69/6.06 % (677897)Instructions burned: 1473 (million)
% 24.69/6.06 % (677906)ott+10_1_sil=32000:tgt=ground:random_seed=3219478698:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 24.69/6.06 % (677904)Instruction limit reached!
% 24.69/6.06 % (677904)------------------------------
% 24.69/6.06 % (677904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.06 % (677904)CaDiCaL version: 2.1.3
% 24.69/6.06 % (677904)Termination reason: Instruction limit
% 24.69/6.06 % (677904)Termination phase: Saturation
% 24.69/6.06 % (677904)Time elapsed: 0.248 s
% 24.69/6.06 % (677904)Peak memory usage: 16 MB
% 24.69/6.06 % (677904)Instructions burned: 873 (million)
% 24.69/6.06 % (677908)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1728173531:i=54282_2981 on theBenchmark for (2981ds/54282Mi)
% 24.69/6.06 % TRYING [1]
% 24.69/6.06 % TRYING [2]
% 24.69/6.06 % TRYING [3]
% 24.69/6.06 % TRYING [4]
% 24.69/6.06 % (677896)Instruction limit reached!
% 24.69/6.06 % (677896)------------------------------
% 24.69/6.06 % (677896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.06 % (677896)CaDiCaL version: 2.1.3
% 24.69/6.06 % (677896)Termination reason: Instruction limit
% 24.69/6.06 % (677896)Termination phase: Saturation
% 24.69/6.06 % (677896)Time elapsed: 2.639 s
% 24.69/6.06 % (677896)Peak memory usage: 26 MB
% 24.69/6.06 % (677896)Instructions burned: 5131 (million)
% 24.69/6.06 % (677911)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4008487188:i=3512:aac=none_2964 on theBenchmark for (2964ds/3512Mi)
% 24.69/6.06 % (677906)Instruction limit reached!
% 24.69/6.06 % (677906)------------------------------
% 24.69/6.06 % (677906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.06 % (677906)CaDiCaL version: 2.1.3
% 24.69/6.06 % (677906)Termination reason: Instruction limit
% 24.69/6.06 % (677906)Termination phase: Saturation
% 24.69/6.06 % (677906)Time elapsed: 2.882 s
% 24.69/6.06 % (677906)Peak memory usage: 35 MB
% 24.69/6.06 % (677906)Instructions burned: 5114 (million)
% 24.69/6.06 % (677913)dis+21_1_sil=32000:sas=cadical:random_seed=2270735267:i=3773:amm=off_2953 on theBenchmark for (2953ds/3773Mi)
% 24.69/6.06 % (677911)Instruction limit reached!
% 24.69/6.06 % (677911)------------------------------
% 24.69/6.06 % (677911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.06 % (677911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.07 % (677911)CaDiCaL version: 2.1.3
% 24.69/6.07 % (677911)Termination reason: Instruction limit
% 24.69/6.07 % (677911)Termination phase: Saturation
% 24.69/6.07 % (677911)Time elapsed: 1.862 s
% 24.69/6.07 % (677911)Peak memory usage: 22 MB
% 24.69/6.07 % (677911)Instructions burned: 3513 (million)
% 24.69/6.07 % (677915)ott+11_1_sil=16000:gs=on:random_seed=3103055506:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2945 on theBenchmark for (2945ds/2251Mi)
% 24.69/6.07 % (677915) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-677851-677915"...
% 24.69/6.07 % (677915)...printing done.
% 24.69/6.07 % (677915)Refutation found. Thanks to Tanya!
% 24.69/6.07 % SZS status Theorem for theBenchmark
% 24.69/6.07 % SZS output start Proof for theBenchmark
% See solution above
% 24.69/6.07 % (677915)------------------------------
% 24.69/6.07 % (677915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.69/6.07 % (677915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.69/6.07 % (677915)CaDiCaL version: 2.1.3
% 24.69/6.07 % (677915)Termination reason: Refutation
% 24.69/6.07 % (677915)Time elapsed: 0.128 s
% 24.69/6.07 % (677915)Peak memory usage: 13 MB
% 24.69/6.07 % (677915)Instructions burned: 237 (million)
% 24.69/6.07 % (677851)Success in time 5.636 s
% 24.69/6.07 % Vampire exiting
%------------------------------------------------------------------------------