%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW277+1 : TPTP v9.3.1. Released v5.2.0.
% 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 01:30:00 PM UTC 2026
% Result : Theorem 5.89s 1.73s
% Output : Refutation 7.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 15 unt; 2 def)
% Number of atoms : 64 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 22 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 21 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_s____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096) ).
fof(f921,axiom,
! [X0,X1,X2] :
( class_Divides_Osemiring__div(X2)
=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__mult__div__cancel) ).
fof(f1140,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(f1177,axiom,
! [X0] :
( class_Fields_Ofield(X0)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Divides_Osemiring__div) ).
fof(f1208,axiom,
( ? [X0] : v_s____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0)
=> v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1209,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1210,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[status(cth)],[f1209]) ).
fof(f1211,plain,
~ v_thesis____,
inference(flattening,[],[f1210]) ).
fof(f1234,plain,
( v_thesis____
| ! [X0] : v_s____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0) ),
inference(ennf_transformation,[],[f1208]) ).
fof(f1753,plain,
! [X0] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(ennf_transformation,[],[f1177]) ).
fof(f1932,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| ~ class_Divides_Osemiring__div(X2) ),
inference(ennf_transformation,[],[f921]) ).
fof(f1933,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| ~ class_Divides_Osemiring__div(X2) ),
inference(flattening,[],[f1932]) ).
fof(f2208,plain,
! [X0] :
( v_thesis____
| v_s____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0) ),
inference(cnf_transformation,[],[f1234]) ).
fof(f2209,plain,
~ v_thesis____,
inference(cnf_transformation,[],[f1211]) ).
fof(f2469,plain,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_s____)),
inference(cnf_transformation,[],[f5]) ).
fof(f2472,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1140]) ).
fof(f3036,plain,
! [X0] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(cnf_transformation,[],[f1753]) ).
fof(f3242,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| ~ class_Divides_Osemiring__div(X2) ),
inference(cnf_transformation,[],[f1933]) ).
fof(f3590,plain,
! [X0] : v_s____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0),
inference(forward_subsumption_resolution,[],[f2208,f2209]) ).
fof(f3602,plain,
! [X0] :
( v_s____ != X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0))
| ~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[],[f3590,f3242]) ).
fof(f3604,definition,
( spl30_1
<=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f3606,plain,
( ~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| spl30_1 ),
inference(avatar_component_clause,[],[f3604]) ).
fof(f3608,definition,
( spl30_2
<=> ! [X0] :
( v_s____ != X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f3609,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0))
| v_s____ != X0 )
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f3608]) ).
fof(f3610,plain,
( ~ spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f3602,f3608,f3604]) ).
fof(f3647,plain,
( ~ class_Fields_Ofield(tc_Complex_Ocomplex)
| spl30_1 ),
inference(resolution,[],[f3606,f3036]) ).
fof(f3648,plain,
( $false
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f3647,f2472]) ).
fof(f3649,plain,
spl30_1,
inference(avatar_contradiction_clause,[],[f3648]) ).
fof(f4089,plain,
( v_s____ != v_s____
| ~ spl30_2 ),
inference(resolution,[],[f3609,f2469]) ).
fof(f4126,plain,
( $false
| ~ spl30_2 ),
inference(trivial_inequality_removal,[],[f4089]) ).
fof(f4127,plain,
~ spl30_2,
inference(avatar_contradiction_clause,[],[f4126]) ).
cnf(s1,plain,
( ~ spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f3610]) ).
cnf(s10,plain,
spl30_1,
inference(sat_conversion,[],[f3649]) ).
cnf(s17,plain,
~ spl30_2,
inference(sat_conversion,[],[f4127]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s1,s17,s10]) ).
fof(f4257,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW277+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n007.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 13:27:25 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 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
% 5.89/1.73 % (2390474)Detected formulas, will run a generic FOF schedule.
% 5.89/1.73 % (2390483)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3050349405:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.89/1.73 % (2390483)Instruction limit reached!
% 5.89/1.73 % (2390483)------------------------------
% 5.89/1.73 % (2390483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.73 % (2390483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.73 % (2390483)CaDiCaL version: 2.1.3
% 5.89/1.73 % (2390483)Termination reason: Instruction limit
% 5.89/1.73 % (2390483)Termination phase: Saturation
% 5.89/1.73 % (2390483)Time elapsed: 0.039 s
% 5.89/1.73 % (2390483)Peak memory usage: 89 MB
% 5.89/1.73 % (2390483)Instructions burned: 121 (million)
% 5.89/1.73 % (2390481)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=2523901982:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.89/1.73 % (2390482)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1552013996:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.89/1.73 % (2390480)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=2056158189:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.89/1.73 % (2390485)dis-21_1_sil=8000:lcm=predicate:random_seed=2152267560:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.89/1.73 % (2390479)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=317457797:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.89/1.73 % (2390484)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=425664022:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.89/1.73 % (2390482)Refutation not found, incomplete strategy
% 5.89/1.73 % (2390482)------------------------------
% 5.89/1.73 % (2390482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.73 % (2390482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.73 % (2390482)CaDiCaL version: 2.1.3
% 5.89/1.73 % (2390482)Termination reason: Refutation not found, incomplete strategy
% 5.89/1.73 % (2390482)Time elapsed: 0.009 s
% 5.89/1.73 % (2390482)Peak memory usage: 89 MB
% 5.89/1.73 % (2390482)Instructions burned: 13 (million)
% 5.89/1.73 % (2390485)Instruction limit reached!
% 5.89/1.73 % (2390485)------------------------------
% 5.89/1.73 % (2390485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.73 % (2390485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.73 % (2390485)CaDiCaL version: 2.1.3
% 5.89/1.73 % (2390485)Termination reason: Instruction limit
% 5.89/1.73 % (2390485)Termination phase: Saturation
% 5.89/1.73 % (2390485)Time elapsed: 0.067 s
% 5.89/1.73 % (2390485)Peak memory usage: 91 MB
% 5.89/1.73 % (2390485)Instructions burned: 129 (million)
% 5.89/1.73 % (2390484)Instruction limit reached!
% 5.89/1.73 % (2390484)------------------------------
% 5.89/1.73 % (2390484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.73 % (2390484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.73 % (2390484)CaDiCaL version: 2.1.3
% 5.89/1.73 % (2390484)Termination reason: Instruction limit
% 5.89/1.73 % (2390484)Termination phase: Saturation
% 5.89/1.73 % (2390484)Time elapsed: 0.080 s
% 5.89/1.73 % (2390484)Peak memory usage: 91 MB
% 5.89/1.73 % (2390484)Instructions burned: 139 (million)
% 5.89/1.73 % (2390487)lrs+10_1_sil=8000:sp=occurrence:random_seed=4211675906:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.89/1.73 % (2390487)Instruction limit reached!
% 5.89/1.73 % (2390487)------------------------------
% 5.89/1.73 % (2390487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.73 % (2390487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.73 % (2390487)CaDiCaL version: 2.1.3
% 5.89/1.73 % (2390487)Termination reason: Instruction limit
% 5.89/1.73 % (2390487)Termination phase: Saturation
% 5.89/1.73 % (2390487)Time elapsed: 0.099 s
% 5.89/1.73 % (2390487)Peak memory usage: 92 MB
% 5.89/1.73 % (2390487)Instructions burned: 285 (million)
% 5.89/1.73 % (2390494)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1790563135:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.89/1.73 % (2390494)Refutation not found, incomplete strategy
% 5.89/1.73 % (2390494)------------------------------
% 5.89/1.73 % (2390494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.73 % (2390494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.73 % (2390494)CaDiCaL version: 2.1.3
% 5.89/1.73 % (2390494)Termination reason: Refutation not found, incomplete strategy
% 5.89/1.73 % (2390494)Time elapsed: 0.010 s
% 5.89/1.73 % (2390494)Peak memory usage: 89 MB
% 5.89/1.73 % (2390494)Instructions burned: 18 (million)
% 5.89/1.73 % (2390495)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4039552036:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 5.89/1.73 % (2390482)------------------------------
% 5.89/1.73 % (2390482)------------------------------
% 5.89/1.73 % (2390497)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=3331436380:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.89/1.73 % (2390497)Instruction limit reached!
% 5.89/1.73 % (2390497)------------------------------
% 5.89/1.73 % (2390497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.73 % (2390497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.73 % (2390497)CaDiCaL version: 2.1.3
% 5.89/1.73 % (2390497)Termination reason: Instruction limit
% 5.89/1.73 % (2390497)Termination phase: Saturation
% 5.89/1.73 % (2390497)Time elapsed: 0.065 s
% 5.89/1.73 % (2390497)Peak memory usage: 92 MB
% 5.89/1.73 % (2390497)Instructions burned: 250 (million)
% 5.89/1.73 % (2390495)Instruction limit reached!
% 5.89/1.73 % (2390495)------------------------------
% 5.89/1.73 % (2390495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.73 % (2390495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.73 % (2390495)CaDiCaL version: 2.1.3
% 5.89/1.73 % (2390495)Termination reason: Instruction limit
% 5.89/1.73 % (2390495)Termination phase: Saturation
% 5.89/1.73 % (2390495)Time elapsed: 0.176 s
% 5.89/1.73 % (2390495)Peak memory usage: 91 MB
% 5.89/1.73 % (2390495)Instructions burned: 326 (million)
% 5.89/1.73 % (2390500)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1824546571:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.89/1.73 % (2390494)------------------------------
% 5.89/1.73 % (2390494)------------------------------
% 5.89/1.73 % (2390500)First to succeed.
% 5.89/1.73 % (2390500)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2390474"
% 5.89/1.73 % (2390502)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2852605607:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.89/1.73 % (2390503)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2934370359:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.89/1.73 % (2390503)Instruction limit reached!
% 5.89/1.73 % (2390503)------------------------------
% 5.89/1.73 % (2390503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.73 % (2390503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.73 % (2390503)CaDiCaL version: 2.1.3
% 5.89/1.73 % (2390503)Termination reason: Instruction limit
% 5.89/1.73 % (2390503)Termination phase: Saturation
% 5.89/1.73 % (2390503)Time elapsed: 0.059 s
% 5.89/1.73 % (2390503)Peak memory usage: 90 MB
% 5.89/1.73 % (2390503)Instructions burned: 115 (million)
% 5.89/1.73 % (2390505)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=210875785:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 5.89/1.73 % (2390505)Refutation not found, incomplete strategy
% 5.89/1.73 % (2390505)------------------------------
% 5.89/1.73 % (2390505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.73 % (2390505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.73 % (2390505)CaDiCaL version: 2.1.3
% 5.89/1.73 % (2390505)Termination reason: Refutation not found, incomplete strategy
% 5.89/1.73 % (2390505)Time elapsed: 0.062 s
% 5.89/1.73 % (2390505)Peak memory usage: 90 MB
% 5.89/1.73 % (2390505)Instructions burned: 125 (million)
% 5.89/1.73 % (2390500)Refutation found. Thanks to Tanya!
% 5.89/1.73 % SZS status Theorem for theBenchmark
% 5.89/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 7.43/1.93 % (2390500)------------------------------
% 7.43/1.93 % (2390500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.43/1.93 % (2390500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.93 % (2390500)CaDiCaL version: 2.1.3
% 7.43/1.93 % (2390500)Termination reason: Refutation
% 7.43/1.93 % (2390500)Time elapsed: 0.069 s
% 7.43/1.93 % (2390500)Peak memory usage: 92 MB
% 7.43/1.93 % (2390500)Instructions burned: 121 (million)
% 7.43/1.93 % (2390500)------------------------------
% 7.43/1.93 % (2390500)------------------------------
% 7.43/1.93 % (2390474)Success in time 0.994 s
% 7.43/1.93 % Vampire exiting
%------------------------------------------------------------------------------