%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV881-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:19:42 PM UTC 2026
% Result : Unsatisfiable 12.25s 2.53s
% Output : Refutation 12.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 41 ( 30 unt; 0 def)
% Number of atoms : 60 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 11 con; 0-4 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,axiom,
! [X0] : c_Suc(X0) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).
fof(f44,axiom,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__add__commute_0) ).
fof(f398,axiom,
! [X0,X1] : c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__Suc__shift_0) ).
fof(f465,axiom,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__add__inverse_0) ).
fof(f471,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_nat)
| c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add__diff__inverse_0) ).
fof(f486,axiom,
! [X0] :
( ~ hBOOL(c_in(X0,v_U,tc_Com_Opname))
| v_wt(c_Option_Othe(c_Com_Obody(X0),tc_Com_Ocom)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I4_J_0) ).
fof(f529,axiom,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P,c_Set_Oinsert(hAPP(v_mgt__call,X1),X0,t_a)),c_Set_Oinsert(v_mgt(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(hAPP(v_mgt__call,X1),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I2_J_0) ).
fof(f589,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ hBOOL(c_in(X0,X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f638,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f645,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(X0,c_Set_Oimage(X2,X3,X4,X1),tc_fun(X1,tc_bool))
| c_Finite__Set_Ofinite(X0,X1)
| ~ c_Finite__Set_Ofinite(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__surj_0) ).
fof(f654,axiom,
! [X2,X0,X1] :
( c_Finite__Set_Ocard(c_Set_Oinsert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
| hBOOL(c_in(X0,X1,X2))
| ~ c_Finite__Set_Ofinite(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert__if_1) ).
fof(f688,axiom,
! [X0,X1] :
( ~ c_lessequals(X1,X0,tc_fun(t_a,tc_bool))
| hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).
fof(f701,axiom,
! [X2,X3,X0,X1,X4] :
( hBOOL(c_in(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4))
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageI_0) ).
fof(f703,negated_conjecture,
c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f704,negated_conjecture,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f705,negated_conjecture,
c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f706,negated_conjecture,
c_Finite__Set_Ocard(v_G,t_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f707,negated_conjecture,
hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f708,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f709,negated_conjecture,
! [X0,X1] :
( c_Finite__Set_Ocard(X0,t_a) != c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat)
| ~ c_lessequals(X0,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f796,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f398,f23,f23]) ).
fof(f823,plain,
! [X2,X0,X1] :
( hBOOL(c_in(X0,X1,X2))
| c_Finite__Set_Ocard(c_Set_Oinsert(X0,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(X1,X2),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(definition_unfolding,[],[f654,f23]) ).
fof(f830,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
inference(definition_unfolding,[],[f705,f23]) ).
fof(f831,plain,
c_Finite__Set_Ocard(v_G,t_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f706,f23]) ).
fof(f853,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(unit_resulting_resolution,[],[f688,f708]) ).
fof(f855,plain,
! [X0,X1] : hBOOL(c_in(hAPP(X0,v_x),c_Set_Oimage(X0,v_U,tc_Com_Opname,X1),X1)),
inference(unit_resulting_resolution,[],[f701,f707]) ).
fof(f862,plain,
c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
inference(unit_resulting_resolution,[],[f471,f830]) ).
fof(f863,plain,
c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) = c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(forward_demodulation,[],[f862,f796]) ).
fof(f864,plain,
c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) = c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),
inference(forward_demodulation,[],[f863,f44]) ).
fof(f865,plain,
c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) = c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(v_G,t_a),tc_nat),tc_nat),
inference(forward_demodulation,[],[f864,f831]) ).
fof(f866,plain,
c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(v_G,t_a),tc_nat),
inference(superposition,[],[f465,f865]) ).
fof(f869,plain,
~ hBOOL(hAPP(hAPP(v_P,c_Set_Oinsert(hAPP(v_mgt__call,v_x),v_G,t_a)),c_Set_Oinsert(v_mgt(c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(unit_resulting_resolution,[],[f529,f708]) ).
fof(f872,plain,
! [X0,X1] :
( c_Finite__Set_Ocard(X0,t_a) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(v_G,t_a),tc_nat)
| ~ c_lessequals(X0,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(X1) ),
inference(superposition,[],[f709,f866]) ).
fof(f876,plain,
~ hBOOL(c_in(hAPP(v_mgt__call,v_x),v_G,t_a)),
inference(unit_resulting_resolution,[],[f589,f853,f638]) ).
fof(f927,plain,
c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_x),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(unit_resulting_resolution,[],[f589,f704,f855]) ).
fof(f973,plain,
v_wt(c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom)),
inference(unit_resulting_resolution,[],[f486,f707]) ).
fof(f1118,plain,
c_Finite__Set_Ofinite(v_G,t_a),
inference(unit_resulting_resolution,[],[f645,f703,f704]) ).
fof(f2025,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(v_G,t_a),tc_nat) != c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_x),v_G,t_a),t_a),
inference(unit_resulting_resolution,[],[f872,f927,f869,f973]) ).
fof(f5630,plain,
c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_x),v_G,t_a),t_a),
inference(unit_resulting_resolution,[],[f823,f1118,f876]) ).
fof(f5632,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(v_G,t_a),tc_nat) = c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_x),v_G,t_a),t_a),
inference(forward_demodulation,[],[f5630,f44]) ).
fof(f5633,plain,
$false,
inference(forward_subsumption_resolution,[],[f5632,f2025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV881-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 12:49:55 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.16/2.14 % (3360765)Input is clausal, will run a generic CNF schedule.
% 10.16/2.14 % (3360774)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3827785928:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.16/2.14 % (3360772)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=88031673:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.16/2.14 % (3360776)dis-21_1_sil=8000:lcm=predicate:random_seed=2326940339:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.16/2.14 % (3360773)lrs+10_1_sil=8000:sp=occurrence:random_seed=3895591886:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.16/2.14 % (3360775)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1780809962:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.16/2.14 % (3360770)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=1645612586:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.16/2.14 % (3360771)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2767546280:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.16/2.14 % (3360774)Instruction limit reached!
% 10.16/2.14 % (3360774)------------------------------
% 10.16/2.14 % (3360774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.14 % (3360774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.14 % (3360774)CaDiCaL version: 2.1.3
% 10.16/2.14 % (3360774)Termination reason: Instruction limit
% 10.16/2.14 % (3360774)Termination phase: Saturation
% 10.16/2.14 % (3360774)Time elapsed: 0.043 s
% 10.16/2.14 % (3360774)Peak memory usage: 89 MB
% 10.16/2.14 % (3360774)Instructions burned: 116 (million)
% 10.16/2.14 % (3360776)Instruction limit reached!
% 10.16/2.14 % (3360776)------------------------------
% 10.16/2.14 % (3360776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.14 % (3360776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.14 % (3360776)CaDiCaL version: 2.1.3
% 10.16/2.14 % (3360776)Termination reason: Instruction limit
% 10.16/2.14 % (3360776)Termination phase: Saturation
% 10.16/2.14 % (3360776)Time elapsed: 0.067 s
% 10.16/2.14 % (3360776)Peak memory usage: 89 MB
% 10.16/2.14 % (3360776)Instructions burned: 117 (million)
% 10.16/2.14 % (3360773)Instruction limit reached!
% 10.16/2.14 % (3360773)------------------------------
% 10.16/2.14 % (3360773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.14 % (3360773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.14 % (3360773)CaDiCaL version: 2.1.3
% 10.16/2.14 % (3360773)Termination reason: Instruction limit
% 10.16/2.14 % (3360773)Termination phase: Saturation
% 10.16/2.14 % (3360773)Time elapsed: 0.073 s
% 10.16/2.14 % (3360773)Peak memory usage: 89 MB
% 10.16/2.14 % (3360773)Instructions burned: 108 (million)
% 10.16/2.14 % (3360784)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1605100910:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.16/2.14 % (3360775)Instruction limit reached!
% 10.16/2.14 % (3360775)------------------------------
% 10.16/2.14 % (3360775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.14 % (3360775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.14 % (3360775)CaDiCaL version: 2.1.3
% 10.16/2.14 % (3360775)Termination reason: Instruction limit
% 10.16/2.14 % (3360775)Termination phase: Saturation
% 10.16/2.14 % (3360775)Time elapsed: 0.122 s
% 10.16/2.14 % (3360775)Peak memory usage: 90 MB
% 10.16/2.14 % (3360775)Instructions burned: 180 (million)
% 10.16/2.14 % (3360784)Instruction limit reached!
% 10.16/2.14 % (3360784)------------------------------
% 10.16/2.14 % (3360784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.14 % (3360784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.14 % (3360784)CaDiCaL version: 2.1.3
% 10.16/2.14 % (3360784)Termination reason: Instruction limit
% 10.16/2.14 % (3360784)Termination phase: Saturation
% 10.16/2.14 % (3360784)Time elapsed: 0.047 s
% 10.16/2.14 % (3360784)Peak memory usage: 90 MB
% 10.16/2.14 % (3360784)Instructions burned: 144 (million)
% 10.16/2.14 % (3360785)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=541377155:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.35/2.34 % (3360786)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=173923111:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.35/2.34 % (3360789)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4285842166:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 11.35/2.34 % (3360788)lrs+10_64_to=lpo:sil=8000:random_seed=3018526869:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.35/2.34 % (3360785)Instruction limit reached!
% 11.35/2.34 % (3360785)------------------------------
% 11.35/2.34 % (3360785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.34 % (3360785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.34 % (3360785)CaDiCaL version: 2.1.3
% 11.35/2.34 % (3360785)Termination reason: Instruction limit
% 11.35/2.34 % (3360785)Termination phase: Saturation
% 11.35/2.34 % (3360785)Time elapsed: 0.107 s
% 11.35/2.34 % (3360785)Peak memory usage: 90 MB
% 11.35/2.34 % (3360785)Instructions burned: 190 (million)
% 11.35/2.34 % (3360789)Instruction limit reached!
% 11.35/2.34 % (3360789)------------------------------
% 11.35/2.34 % (3360789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.34 % (3360789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.34 % (3360789)CaDiCaL version: 2.1.3
% 11.35/2.34 % (3360789)Termination reason: Instruction limit
% 11.35/2.34 % (3360789)Termination phase: Saturation
% 11.35/2.34 % (3360789)Time elapsed: 0.072 s
% 11.35/2.34 % (3360789)Peak memory usage: 90 MB
% 11.35/2.34 % (3360789)Instructions burned: 196 (million)
% 11.35/2.34 % (3360788)Instruction limit reached!
% 11.35/2.34 % (3360788)------------------------------
% 11.35/2.34 % (3360788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.34 % (3360788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.34 % (3360788)CaDiCaL version: 2.1.3
% 11.35/2.34 % (3360788)Termination reason: Instruction limit
% 11.35/2.34 % (3360788)Termination phase: Saturation
% 11.35/2.34 % (3360788)Time elapsed: 0.083 s
% 11.35/2.34 % (3360788)Peak memory usage: 89 MB
% 11.35/2.34 % (3360788)Instructions burned: 127 (million)
% 11.35/2.34 % (3360786)Instruction limit reached!
% 11.35/2.34 % (3360786)------------------------------
% 11.35/2.34 % (3360786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.34 % (3360786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.34 % (3360786)CaDiCaL version: 2.1.3
% 11.35/2.34 % (3360786)Termination reason: Instruction limit
% 11.35/2.34 % (3360786)Termination phase: Saturation
% 11.35/2.34 % (3360786)Time elapsed: 0.133 s
% 11.35/2.34 % (3360786)Peak memory usage: 90 MB
% 11.35/2.34 % (3360786)Instructions burned: 220 (million)
% 11.35/2.34 % (3360795)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3907122559:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.35/2.34 % (3360794)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2130225689:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.35/2.34 % (3360796)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1546856316:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.35/2.34 % (3360797)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2103995646:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 11.35/2.34 % (3360794)Instruction limit reached!
% 11.35/2.34 % (3360794)------------------------------
% 11.35/2.34 % (3360794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.34 % (3360794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.34 % (3360794)CaDiCaL version: 2.1.3
% 11.35/2.34 % (3360794)Termination reason: Instruction limit
% 11.35/2.34 % (3360794)Termination phase: Saturation
% 11.35/2.34 % (3360794)Time elapsed: 0.105 s
% 11.35/2.34 % (3360794)Peak memory usage: 90 MB
% 11.35/2.34 % (3360794)Instructions burned: 157 (million)
% 11.35/2.34 % (3360796)Instruction limit reached!
% 11.35/2.34 % (3360796)------------------------------
% 11.35/2.34 % (3360796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.34 % (3360796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.34 % (3360796)CaDiCaL version: 2.1.3
% 11.35/2.34 % (3360796)Termination reason: Instruction limit
% 11.35/2.34 % (3360796)Termination phase: Saturation
% 11.35/2.34 % (3360796)Time elapsed: 0.058 s
% 11.35/2.34 % (3360796)Peak memory usage: 88 MB
% 11.35/2.34 % (3360796)Instructions burned: 106 (million)
% 11.35/2.34 % (3360797)Instruction limit reached!
% 11.35/2.34 % (3360797)------------------------------
% 11.35/2.34 % (3360797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.34 % (3360797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.34 % (3360797)CaDiCaL version: 2.1.3
% 11.35/2.34 % (3360797)Termination reason: Instruction limit
% 11.35/2.34 % (3360797)Termination phase: Saturation
% 11.35/2.34 % (3360797)Time elapsed: 0.069 s
% 11.35/2.34 % (3360797)Peak memory usage: 90 MB
% 11.35/2.34 % (3360797)Instructions burned: 108 (million)
% 11.35/2.34 % (3360802)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3830761410:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.35/2.34 % (3360803)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2266924591:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.35/2.34 % (3360804)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=354770820:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 11.35/2.34 % (3360804)Instruction limit reached!
% 11.35/2.34 % (3360804)------------------------------
% 11.35/2.34 % (3360804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.34 % (3360804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.34 % (3360804)CaDiCaL version: 2.1.3
% 11.35/2.34 % (3360804)Termination reason: Instruction limit
% 11.35/2.34 % (3360804)Termination phase: Saturation
% 11.35/2.34 % (3360804)Time elapsed: 0.073 s
% 11.35/2.34 % (3360804)Peak memory usage: 89 MB
% 11.35/2.34 % (3360804)Instructions burned: 134 (million)
% 11.35/2.34 % (3360802)Instruction limit reached!
% 11.35/2.34 % (3360802)------------------------------
% 11.35/2.34 % (3360802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.34 % (3360802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.34 % (3360802)CaDiCaL version: 2.1.3
% 11.35/2.34 % (3360802)Termination reason: Instruction limit
% 11.35/2.34 % (3360802)Termination phase: Saturation
% 11.35/2.34 % (3360802)Time elapsed: 0.151 s
% 11.35/2.34 % (3360802)Peak memory usage: 90 MB
% 11.35/2.34 % (3360802)Instructions burned: 243 (million)
% 11.35/2.34 % (3360808)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4246059079:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 11.35/2.34 % (3360809)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3335597341:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 11.35/2.34 % (3360809)Instruction limit reached!
% 11.35/2.34 % (3360809)------------------------------
% 11.35/2.34 % (3360809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.34 % (3360809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.34 % (3360809)CaDiCaL version: 2.1.3
% 11.35/2.34 % (3360809)Termination reason: Instruction limit
% 11.35/2.34 % (3360809)Termination phase: Saturation
% 11.35/2.34 % (3360809)Time elapsed: 0.121 s
% 11.35/2.34 % (3360809)Peak memory usage: 90 MB
% 11.35/2.34 % (3360809)Instructions burned: 191 (million)
% 11.35/2.34 % (3360771)First to succeed.
% 11.35/2.34 % (3360771)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3360765"
% 11.35/2.34 % (3360808)Instruction limit reached!
% 11.35/2.34 % (3360808)------------------------------
% 11.35/2.34 % (3360808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.34 % (3360808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.34 % (3360808)CaDiCaL version: 2.1.3
% 11.35/2.34 % (3360808)Termination reason: Instruction limit
% 11.35/2.34 % (3360808)Termination phase: Saturation
% 11.35/2.34 % (3360808)Time elapsed: 0.323 s
% 11.35/2.34 % (3360808)Peak memory usage: 93 MB
% 11.35/2.34 % (3360808)Instructions burned: 500 (million)
% 11.35/2.34 % (3360812)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2101426114:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 12.25/2.53 % (3360814)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2883445011:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 12.25/2.53 % (3360812)Instruction limit reached!
% 12.25/2.53 % (3360812)------------------------------
% 12.25/2.53 % (3360812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.25/2.53 % (3360812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.25/2.53 % (3360812)CaDiCaL version: 2.1.3
% 12.25/2.53 % (3360812)Termination reason: Instruction limit
% 12.25/2.53 % (3360812)Termination phase: Saturation
% 12.25/2.53 % (3360812)Time elapsed: 0.158 s
% 12.25/2.53 % (3360812)Peak memory usage: 91 MB
% 12.25/2.53 % (3360812)Instructions burned: 264 (million)
% 12.25/2.53 % (3360771)Refutation found. Thanks to Tanya!
% 12.25/2.53 % SZS status Unsatisfiable for theBenchmark
% 12.25/2.53 % SZS output start Proof for theBenchmark
% See solution above
% 12.25/2.53 % (3360771)------------------------------
% 12.25/2.53 % (3360771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.25/2.53 % (3360771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.25/2.53 % (3360771)CaDiCaL version: 2.1.3
% 12.25/2.53 % (3360771)Termination reason: Refutation
% 12.25/2.53 % (3360771)Time elapsed: 1.211 s
% 12.25/2.53 % (3360771)Peak memory usage: 136 MB
% 12.25/2.53 % (3360771)Instructions burned: 1856 (million)
% 12.25/2.53 % (3360771)------------------------------
% 12.25/2.53 % (3360771)------------------------------
% 12.25/2.53 % (3360765)Success in time 1.663 s
% 12.25/2.53 % Vampire exiting
%------------------------------------------------------------------------------