%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW288+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 01:39:46 PM UTC 2026
% Result : Theorem 15.07s 2.55s
% Output : Refutation 15.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 20 unt; 2 def)
% Number of atoms : 55 ( 30 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 42 ( 19 ~; 15 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
( ( class_Int_Oring__char__0(t_a)
& class_Rings_Oidom(t_a) )
=> v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096p_A_061_A_091_058poly_Ap_A_I0_058_058_Ha_J_058_093_096) ).
fof(f41,axiom,
! [X0,X1,X2] :
( class_Groups_Ozero(X2)
=> ( ( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
=> c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X0,X1)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
=> c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X0,X1)) = c_Nat_OSuc(c_Polynomial_Odegree(X2,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_degree__pCons__eq__if) ).
fof(f1012,axiom,
! [X0] :
( class_Int_Oring__char__0(X0)
=> class_Groups_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clrel_Int_Oring__char__0__Groups_Ozero) ).
fof(f1216,conjecture,
c_Polynomial_Odegree(t_a,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1217,negated_conjecture,
c_Polynomial_Odegree(t_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(negated_conjecture,[status(cth)],[f1216]) ).
fof(f1218,axiom,
class_Int_Oring__char__0(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0) ).
fof(f1219,axiom,
class_Rings_Oidom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_1) ).
fof(f1221,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Polynomial_Odegree(t_a,v_p),
inference(flattening,[],[f1217]) ).
fof(f1365,plain,
( v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ class_Int_Oring__char__0(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(ennf_transformation,[],[f14]) ).
fof(f1366,plain,
( v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ class_Int_Oring__char__0(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(flattening,[],[f1365]) ).
fof(f1398,plain,
! [X0,X1,X2] :
( ( ( c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X0,X1)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X1 )
& ( c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X0,X1)) = c_Nat_OSuc(c_Polynomial_Odegree(X2,X1))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 ) )
| ~ class_Groups_Ozero(X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f2344,plain,
! [X0] :
( class_Groups_Ozero(X0)
| ~ class_Int_Oring__char__0(X0) ),
inference(ennf_transformation,[],[f1012]) ).
fof(f2753,plain,
( v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ class_Int_Oring__char__0(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(cnf_transformation,[],[f1366]) ).
fof(f2796,plain,
! [X2,X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X0,X1))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X1
| ~ class_Groups_Ozero(X2) ),
inference(cnf_transformation,[],[f1398]) ).
fof(f3955,plain,
! [X0] :
( ~ class_Int_Oring__char__0(X0)
| class_Groups_Ozero(X0) ),
inference(cnf_transformation,[],[f2344]) ).
fof(f4159,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Polynomial_Odegree(t_a,v_p),
inference(cnf_transformation,[],[f1221]) ).
fof(f4160,plain,
class_Int_Oring__char__0(t_a),
inference(cnf_transformation,[],[f1218]) ).
fof(f4161,plain,
class_Rings_Oidom(t_a),
inference(cnf_transformation,[],[f1219]) ).
fof(f4326,plain,
! [X2,X0] :
( ~ class_Groups_Ozero(X2)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)))) ),
inference(equality_resolution,[],[f2796]) ).
fof(f4501,definition,
sF13 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f4502,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF13,
inference(reorient_equations,[],[f4501]) ).
fof(f4503,definition,
sF14 = c_Polynomial_Odegree(t_a,v_p),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f4504,plain,
c_Polynomial_Odegree(t_a,v_p) = sF14,
inference(reorient_equations,[],[f4503]) ).
fof(f4505,plain,
sF13 != sF14,
inference(definition_folding,[],[f4159,f4504,f4502]) ).
fof(f4562,plain,
( v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ class_Rings_Oidom(t_a) ),
inference(forward_subsumption_resolution,[],[f2753,f4160]) ).
fof(f4590,plain,
v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(forward_subsumption_resolution,[],[f4562,f4161]) ).
fof(f4641,plain,
class_Groups_Ozero(t_a),
inference(resolution,[],[f3955,f4160]) ).
fof(f10267,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
inference(resolution,[],[f4326,f4641]) ).
fof(f10278,plain,
! [X0] : sF13 = c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
inference(forward_demodulation,[],[f10267,f4502]) ).
fof(f12452,plain,
c_Polynomial_Odegree(t_a,v_p) = sF13,
inference(superposition,[],[f10278,f4590]) ).
fof(f12504,plain,
sF13 = sF14,
inference(superposition,[],[f4504,f12452]) ).
fof(f12507,plain,
$false,
inference(forward_subsumption_resolution,[],[f12504,f4505]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW288+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n020.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 13:31:19 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 9.23/1.79 % (162214)Will run a generic schedule for satisfiability detection.
% 9.23/1.79 % (162224)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3220720548:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.23/1.79 % (162220)% WARNING: option uhcvi not known.
% 9.23/1.79 % (162219)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=201113279_2999 on theBenchmark for (2999ds/0Mi)
% 9.23/1.79 % (162220)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1391326827:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.23/1.79 % (162221)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1358934679:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.23/1.79 % (162222)dis+10_1_sil=32000:sp=arity:random_seed=947245235:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.23/1.79 % (162223)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2845042759:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.23/1.79 % (162225)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=807849946:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.23/1.79 % (162224)Instruction limit reached!
% 9.23/1.79 % (162224)------------------------------
% 9.23/1.79 % (162224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.23/1.79 % (162224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/1.79 % (162224)CaDiCaL version: 2.1.3
% 9.23/1.79 % (162224)Termination reason: Instruction limit
% 9.23/1.79 % (162224)Termination phase: Saturation
% 9.23/1.79 % (162224)Time elapsed: 0.037 s
% 9.23/1.79 % (162224)Peak memory usage: 15 MB
% 9.23/1.79 % (162224)Instructions burned: 132 (million)
% 9.23/1.79 % (162233)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3867182521:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 9.23/1.79 % (162222)Instruction limit reached!
% 9.23/1.79 % (162222)------------------------------
% 9.23/1.79 % (162222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.23/1.79 % (162222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/1.79 % (162222)CaDiCaL version: 2.1.3
% 9.23/1.79 % (162222)Termination reason: Instruction limit
% 9.23/1.79 % (162222)Termination phase: Saturation
% 9.23/1.79 % (162222)Time elapsed: 0.055 s
% 9.23/1.79 % (162222)Peak memory usage: 14 MB
% 9.23/1.79 % (162222)Instructions burned: 104 (million)
% 9.23/1.79 % (162223)Instruction limit reached!
% 9.23/1.79 % (162223)------------------------------
% 9.23/1.79 % (162223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.23/1.79 % (162223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/1.79 % (162223)CaDiCaL version: 2.1.3
% 9.23/1.79 % (162223)Termination reason: Instruction limit
% 9.23/1.79 % (162223)Termination phase: Saturation
% 9.23/1.79 % (162223)Time elapsed: 0.058 s
% 9.23/1.79 % (162223)Peak memory usage: 14 MB
% 9.23/1.79 % (162223)Instructions burned: 116 (million)
% 9.23/1.79 % (162235)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3999729540:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 9.23/1.79 % (162236)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=2768725070:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 9.23/1.79 % (162225)Instruction limit reached!
% 9.23/1.79 % (162225)------------------------------
% 9.23/1.79 % (162225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.23/1.79 % (162225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/1.79 % (162225)CaDiCaL version: 2.1.3
% 9.23/1.79 % (162225)Termination reason: Instruction limit
% 9.23/1.79 % (162225)Termination phase: Saturation
% 9.23/1.79 % (162225)Time elapsed: 0.094 s
% 9.23/1.79 % (162225)Peak memory usage: 15 MB
% 9.23/1.79 % (162225)Instructions burned: 159 (million)
% 9.23/1.79 % (162239)ott-21_1_sil=16000:fs=off:random_seed=731199819:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 9.23/1.79 % (162235)Instruction limit reached!
% 9.23/1.79 % (162235)------------------------------
% 9.23/1.79 % (162235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.23/1.79 % (162235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/1.79 % (162235)CaDiCaL version: 2.1.3
% 9.23/1.79 % (162235)Termination reason: Instruction limit
% 15.07/2.54 % (162235)Termination phase: Saturation
% 15.07/2.54 % (162235)Time elapsed: 0.065 s
% 15.07/2.54 % (162235)Peak memory usage: 14 MB
% 15.07/2.54 % (162235)Instructions burned: 133 (million)
% 15.07/2.54 % (162241)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2332719009:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 15.07/2.54 % TRYING [1]
% 15.07/2.54 % TRYING [2]
% 15.07/2.54 % (162239)Instruction limit reached!
% 15.07/2.54 % (162239)------------------------------
% 15.07/2.54 % (162239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.54 % (162239)CaDiCaL version: 2.1.3
% 15.07/2.54 % (162239)Termination reason: Instruction limit
% 15.07/2.54 % (162239)Termination phase: Saturation
% 15.07/2.54 % (162239)Time elapsed: 0.091 s
% 15.07/2.54 % (162239)Peak memory usage: 14 MB
% 15.07/2.54 % (162239)Instructions burned: 181 (million)
% 15.07/2.54 % (162233)Instruction limit reached!
% 15.07/2.54 % (162233)------------------------------
% 15.07/2.54 % (162233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162243)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2521317492:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.07/2.54 % (162233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.54 % (162233)CaDiCaL version: 2.1.3
% 15.07/2.54 % (162233)Termination reason: Instruction limit
% 15.07/2.54 % (162233)Termination phase: Finite model building constraint generation
% 15.07/2.54 % (162233)Time elapsed: 0.184 s
% 15.07/2.54 % (162233)Peak memory usage: 37 MB
% 15.07/2.54 % (162233)Instructions burned: 715 (million)
% 15.07/2.54 % (162245)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3401200721:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 15.07/2.54 % TRYING [1]
% 15.07/2.54 % TRYING [2]
% 15.07/2.54 % (162236)Instruction limit reached!
% 15.07/2.54 % (162236)------------------------------
% 15.07/2.54 % (162236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.54 % (162236)CaDiCaL version: 2.1.3
% 15.07/2.54 % (162236)Termination reason: Instruction limit
% 15.07/2.54 % (162236)Termination phase: Saturation
% 15.07/2.54 % (162236)Time elapsed: 0.371 s
% 15.07/2.54 % (162236)Peak memory usage: 21 MB
% 15.07/2.54 % (162236)Instructions burned: 684 (million)
% 15.07/2.54 % (162241)Instruction limit reached!
% 15.07/2.54 % (162241)------------------------------
% 15.07/2.54 % (162241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.54 % (162241)CaDiCaL version: 2.1.3
% 15.07/2.54 % (162241)Termination reason: Instruction limit
% 15.07/2.54 % (162241)Termination phase: Saturation
% 15.07/2.54 % (162241)Time elapsed: 0.297 s
% 15.07/2.54 % (162241)Peak memory usage: 16 MB
% 15.07/2.54 % (162241)Instructions burned: 478 (million)
% 15.07/2.54 % TRYING [3]
% 15.07/2.54 % (162247)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=442911390:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 15.07/2.54 % (162248)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=1105027753:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 15.07/2.54 % TRYING [1]
% 15.07/2.54 % TRYING [2]
% 15.07/2.54 % (162245)Instruction limit reached!
% 15.07/2.54 % (162245)------------------------------
% 15.07/2.54 % (162245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.54 % (162245)CaDiCaL version: 2.1.3
% 15.07/2.54 % (162245)Termination reason: Instruction limit
% 15.07/2.54 % (162245)Termination phase: Saturation
% 15.07/2.54 % (162245)Time elapsed: 0.385 s
% 15.07/2.54 % (162245)Peak memory usage: 21 MB
% 15.07/2.54 % (162245)Instructions burned: 1180 (million)
% 15.07/2.54 % (162243)Instruction limit reached!
% 15.07/2.54 % (162243)------------------------------
% 15.07/2.54 % (162243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.54 % (162243)CaDiCaL version: 2.1.3
% 15.07/2.54 % (162243)Termination reason: Instruction limit
% 15.07/2.54 % (162243)Termination phase: Finite model building constraint generation
% 15.07/2.54 % (162243)Time elapsed: 0.407 s
% 15.07/2.54 % (162243)Peak memory usage: 34 MB
% 15.07/2.54 % (162243)Instructions burned: 865 (million)
% 15.07/2.54 % (162251)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=811552605:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 15.07/2.54 % (162252)fmb+10_1_sil=64000:random_seed=3230811606:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 15.07/2.54 % (162251)Instruction limit reached!
% 15.07/2.54 % (162251)------------------------------
% 15.07/2.54 % (162251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.54 % (162251)CaDiCaL version: 2.1.3
% 15.07/2.54 % (162251)Termination reason: Instruction limit
% 15.07/2.54 % (162251)Termination phase: Saturation
% 15.07/2.54 % (162251)Time elapsed: 0.249 s
% 15.07/2.54 % (162251)Peak memory usage: 21 MB
% 15.07/2.54 % (162251)Instructions burned: 881 (million)
% 15.07/2.54 % (162255)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2834948175:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 15.07/2.54 % (162248)Instruction limit reached!
% 15.07/2.54 % (162248)------------------------------
% 15.07/2.54 % (162248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.54 % (162248)CaDiCaL version: 2.1.3
% 15.07/2.54 % (162248)Termination reason: Instruction limit
% 15.07/2.54 % (162248)Termination phase: Saturation
% 15.07/2.54 % (162248)Time elapsed: 0.428 s
% 15.07/2.54 % (162248)Peak memory usage: 20 MB
% 15.07/2.54 % (162248)Instructions burned: 692 (million)
% 15.07/2.54 % (162247)Instruction limit reached!
% 15.07/2.54 % (162247)------------------------------
% 15.07/2.54 % (162247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.54 % (162247)CaDiCaL version: 2.1.3
% 15.07/2.54 % (162247)Termination reason: Instruction limit
% 15.07/2.54 % (162247)Termination phase: Finite model building constraint generation
% 15.07/2.54 % (162247)Time elapsed: 0.440 s
% 15.07/2.54 % (162247)Peak memory usage: 67 MB
% 15.07/2.54 % (162247)Instructions burned: 893 (million)
% 15.07/2.54 % TRYING [1]
% 15.07/2.54 % (162257)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3341266162:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 15.07/2.54 % (162258)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3717214808:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 15.07/2.54 % TRYING [2]
% 15.07/2.54 % (162255)Cannot represent all propositional literals internally
% 15.07/2.54 % (162255)Refutation not found, incomplete strategy
% 15.07/2.54 % (162255)------------------------------
% 15.07/2.54 % (162255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.54 % (162255)CaDiCaL version: 2.1.3
% 15.07/2.54 % (162255)Termination reason: Refutation not found, incomplete strategy
% 15.07/2.54 % (162255)Time elapsed: 0.143 s
% 15.07/2.54 % (162255)Peak memory usage: 21 MB
% 15.07/2.54 % (162255)Instructions burned: 546 (million)
% 15.07/2.54 % (162255)------------------------------
% 15.07/2.54 % (162255)------------------------------
% 15.07/2.54 % (162261)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2704891029:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 15.07/2.54 % TRYING [8]
% 15.07/2.54 % (162257)Instruction limit reached!
% 15.07/2.54 % (162257)------------------------------
% 15.07/2.54 % (162257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.54 % (162257)CaDiCaL version: 2.1.3
% 15.07/2.54 % (162257)Termination reason: Instruction limit
% 15.07/2.54 % (162257)Termination phase: Finite model building constraint generation
% 15.07/2.54 % (162257)Time elapsed: 0.396 s
% 15.07/2.54 % (162257)Peak memory usage: 46 MB
% 15.07/2.54 % (162257)Instructions burned: 922 (million)
% 15.07/2.54 % (162263)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=712157324:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 15.07/2.54 % (162261)Instruction limit reached!
% 15.07/2.54 % (162261)------------------------------
% 15.07/2.54 % (162261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.54 % (162261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.55 % (162261)CaDiCaL version: 2.1.3
% 15.07/2.55 % (162261)Termination reason: Instruction limit
% 15.07/2.55 % (162261)Termination phase: Saturation
% 15.07/2.55 % (162261)Time elapsed: 0.411 s
% 15.07/2.55 % (162261)Peak memory usage: 31 MB
% 15.07/2.55 % (162261)Instructions burned: 1475 (million)
% 15.07/2.55 % (162265)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=562943330:fmbsr=2.30978:i=2174_2984 on theBenchmark for (2984ds/2174Mi)
% 15.07/2.55 % TRYING [4]
% 15.07/2.55 % (162263)Cannot represent all propositional literals internally
% 15.07/2.55 % (162263)Refutation not found, incomplete strategy
% 15.07/2.55 % (162263)------------------------------
% 15.07/2.55 % (162263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.55 % (162263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.55 % (162263)CaDiCaL version: 2.1.3
% 15.07/2.55 % (162263)Termination reason: Refutation not found, incomplete strategy
% 15.07/2.55 % (162263)Time elapsed: 0.286 s
% 15.07/2.55 % (162263)Peak memory usage: 22 MB
% 15.07/2.55 % (162263)Instructions burned: 579 (million)
% 15.07/2.55 % (162263)------------------------------
% 15.07/2.55 % (162263)------------------------------
% 15.07/2.55 % (162267)ott-2_1_sil=16000:newcnf=on:random_seed=3232944432:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2982 on theBenchmark for (2982ds/869Mi)
% 15.07/2.55 % TRYING [3]
% 15.07/2.55 % (162265)Instruction limit reached!
% 15.07/2.55 % (162265)------------------------------
% 15.07/2.55 % (162265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.55 % (162265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.55 % (162265)CaDiCaL version: 2.1.3
% 15.07/2.55 % (162265)Termination reason: Instruction limit
% 15.07/2.55 % (162265)Termination phase: Finite model building preprocessing
% 15.07/2.55 % (162265)Time elapsed: 0.567 s
% 15.07/2.55 % (162265)Peak memory usage: 37 MB
% 15.07/2.55 % (162265)Instructions burned: 2176 (million)
% 15.07/2.55 % (162269)ott+10_1_sil=32000:tgt=ground:random_seed=3003800121:i=5114:av=off_2978 on theBenchmark for (2978ds/5114Mi)
% 15.07/2.55 % (162267)Instruction limit reached!
% 15.07/2.55 % (162267)------------------------------
% 15.07/2.55 % (162267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.55 % (162267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.55 % (162267)CaDiCaL version: 2.1.3
% 15.07/2.55 % (162267)Termination reason: Instruction limit
% 15.07/2.55 % (162267)Termination phase: Saturation
% 15.07/2.55 % (162267)Time elapsed: 0.516 s
% 15.07/2.55 % (162267)Peak memory usage: 19 MB
% 15.07/2.55 % (162267)Instructions burned: 869 (million)
% 15.07/2.55 % (162269) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-162214-162269"...
% 15.07/2.55 % (162269)...printing done.
% 15.07/2.55 % (162269)Refutation found. Thanks to Tanya!
% 15.07/2.55 % SZS status Theorem for theBenchmark
% 15.07/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 15.07/2.55 % (162269)------------------------------
% 15.07/2.55 % (162269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.55 % (162269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.55 % (162269)CaDiCaL version: 2.1.3
% 15.07/2.55 % (162269)Termination reason: Refutation
% 15.07/2.55 % (162269)Time elapsed: 0.124 s
% 15.07/2.55 % (162269)Peak memory usage: 16 MB
% 15.07/2.55 % (162269)Instructions burned: 385 (million)
% 15.07/2.55 % (162214)Success in time 2.304 s
% 15.07/2.55 % Vampire exiting
%------------------------------------------------------------------------------