%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV822-1 : 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 : n003.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 01:19:35 PM UTC 2026
% Result : Unsatisfiable 3.80s 1.26s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 62 ( 14 unt; 6 def)
% Number of atoms : 145 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 159 ( 76 ~; 77 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-4 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f652,axiom,
! [X0,X1] :
( ~ c_lessequals(X1,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__less__Suc__eq_0) ).
fof(f749,axiom,
! [X0] : ~ c_lessequals(c_Suc(X0),X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__le__n_0) ).
fof(f753,axiom,
! [X0] : c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc__eq_2) ).
fof(f768,axiom,
! [X2,X3,X0,X1] :
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X0),tc_Com_Ocom),X1,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X0,X2,X1,X3),X3)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X0),X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I6_J_1) ).
fof(f789,axiom,
! [X0,X1] :
( c_lessequals(c_Suc(X0),X1,tc_nat)
| c_lessequals(X1,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq__eq_0) ).
fof(f790,axiom,
! [X2,X3,X0,X1] :
( ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X0),tc_Com_Ocom),X1,X2,X3)
| c_Natural_Oevaln(c_Com_Ocom_OBODY(X0),X1,c_Suc(X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OBody_0) ).
fof(f798,axiom,
! [X2,X3,X0,X1] :
( X0 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X0,X2,X3))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I6_J_0) ).
fof(f799,plain,
! [X2,X3,X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X0,X3)
| c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X0,X2,X3)) = X0 ),
inference(reorient_equations,[],[f798]) ).
fof(f812,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f816,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb)
| c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_n,v_xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f820,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb))
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f821,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP(hAPP(v_Q,X0),X1))
| ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),X2,v_n,X1)
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
| hBOOL(hAPP(hAPP(v_Q,X3),X4))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X5,c_Suc(v_n),X4)
| ~ hBOOL(hAPP(hAPP(v_P,X3),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f849,plain,
~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb)),
inference(duplicate_literal_removal,[],[f820]) ).
fof(f850,plain,
hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(duplicate_literal_removal,[],[f812]) ).
fof(f853,definition,
( spl0_1
<=> ! [X4,X5,X3] :
( hBOOL(hAPP(hAPP(v_Q,X3),X4))
| ~ hBOOL(hAPP(hAPP(v_P,X3),X5))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X5,c_Suc(v_n),X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f854,plain,
( ! [X3,X4,X5] :
( hBOOL(hAPP(hAPP(v_Q,X3),X4))
| ~ hBOOL(hAPP(hAPP(v_P,X3),X5))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X5,c_Suc(v_n),X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f856,definition,
( spl0_2
<=> ! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(v_Q,X0),X1))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
| ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),X2,v_n,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),X2,v_n,X1)
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
| hBOOL(hAPP(hAPP(v_Q,X0),X1)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f858,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f821,f856,f853]) ).
fof(f860,definition,
( spl0_3
<=> hBOOL(hAPP(hAPP(v_Q,v_x),v_xb)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f862,plain,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb))
| spl0_3 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f864,definition,
( spl0_4
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f866,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f869,definition,
( spl0_5
<=> hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f871,plain,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f874,definition,
( spl0_6
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_n,v_xb) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f876,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_n,v_xb)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f878,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f816,f864,f874]) ).
fof(f882,plain,
spl0_5,
inference(avatar_split_clause,[],[f850,f869]) ).
fof(f883,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f849,f860]) ).
fof(f1284,plain,
( c_Suc(v_n) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb))
| ~ spl0_4 ),
inference(resolution,[],[f799,f866]) ).
fof(f1298,plain,
( ~ c_lessequals(c_Suc(v_n),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat)
| ~ spl0_4 ),
inference(superposition,[],[f749,f1284]) ).
fof(f1347,plain,
( c_lessequals(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),v_n,tc_nat)
| ~ spl0_4 ),
inference(resolution,[],[f1298,f789]) ).
fof(f1359,plain,
( ~ c_HOL_Oord__class_Oless(v_n,c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb)),tc_nat)
| v_n = c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb)
| ~ spl0_4 ),
inference(resolution,[],[f1347,f652]) ).
fof(f1360,plain,
( ~ c_HOL_Oord__class_Oless(v_n,c_Suc(v_n),tc_nat)
| v_n = c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1359,f1284]) ).
fof(f1361,plain,
( v_n = c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1360,f753]) ).
fof(f1462,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_n,v_xb)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb)
| ~ spl0_4 ),
inference(superposition,[],[f768,f1361]) ).
fof(f1463,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_n,v_xb)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1462,f866]) ).
fof(f1464,plain,
( spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1463,f864,f874]) ).
fof(f1465,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(v_Q,X0),v_xb))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa)) )
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f876,f857]) ).
fof(f1466,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb)
| ~ spl0_6 ),
inference(resolution,[],[f876,f790]) ).
fof(f1467,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| ~ spl0_2
| spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f1465,f862]) ).
fof(f1468,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1467,f871]) ).
fof(f1469,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1468]) ).
fof(f1471,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,v_x),X0))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X0,c_Suc(v_n),v_xb) )
| ~ spl0_1
| spl0_3 ),
inference(resolution,[],[f854,f862]) ).
fof(f1472,plain,
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb)
| ~ spl0_1
| spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f1471,f871]) ).
fof(f1475,plain,
( spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1466,f874,f864]) ).
fof(f1476,plain,
( ~ spl0_4
| ~ spl0_1
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1472,f869,f860,f853,f864]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f858]) ).
cnf(s5,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f878]) ).
cnf(s9,plain,
spl0_5,
inference(sat_conversion,[],[f882]) ).
cnf(s10,plain,
~ spl0_3,
inference(sat_conversion,[],[f883]) ).
cnf(s11,plain,
( ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f1464]) ).
cnf(s12,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f1469]) ).
cnf(s14,plain,
( spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s15,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s16,plain,
spl0_6,
inference(rat,[],[s5,s11]) ).
cnf(s17,plain,
spl0_4,
inference(rat,[],[s14,s16]) ).
cnf(s18,plain,
~ spl0_2,
inference(rat,[],[s12,s9,s10,s16]) ).
cnf(s19,plain,
~ spl0_1,
inference(rat,[],[s15,s9,s10,s17]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s1,s18,s19]) ).
fof(f1477,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV822-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n003.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 12:41:27 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.24 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
% 3.41/1.16 % (1556812)Input is clausal, will run a generic CNF schedule.
% 3.41/1.16 % (1556821)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3056983690:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.41/1.16 % (1556822)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2001259182:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.41/1.16 % (1556817)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=97897054:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.41/1.16 % (1556819)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=79153229:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.41/1.16 % (1556820)lrs+10_1_sil=8000:sp=occurrence:random_seed=1840027314:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.41/1.16 % (1556818)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3665548390:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.41/1.16 % (1556823)dis-21_1_sil=8000:lcm=predicate:random_seed=266737835: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)
% 3.41/1.16 % (1556821)Instruction limit reached!
% 3.41/1.16 % (1556821)------------------------------
% 3.41/1.16 % (1556821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.16 % (1556821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.16 % (1556821)CaDiCaL version: 2.1.3
% 3.41/1.16 % (1556821)Termination reason: Instruction limit
% 3.41/1.16 % (1556821)Termination phase: Saturation
% 3.41/1.16 % (1556821)Time elapsed: 0.041 s
% 3.41/1.16 % (1556821)Peak memory usage: 89 MB
% 3.41/1.16 % (1556821)Instructions burned: 116 (million)
% 3.41/1.16 % (1556822)First to succeed.
% 3.41/1.16 % (1556822)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1556812"
% 3.41/1.16 % (1556823)Instruction limit reached!
% 3.41/1.16 % (1556823)------------------------------
% 3.41/1.16 % (1556823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.16 % (1556823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.16 % (1556823)CaDiCaL version: 2.1.3
% 3.41/1.16 % (1556823)Termination reason: Instruction limit
% 3.41/1.16 % (1556823)Termination phase: Saturation
% 3.41/1.16 % (1556823)Time elapsed: 0.067 s
% 3.41/1.16 % (1556823)Peak memory usage: 89 MB
% 3.41/1.16 % (1556823)Instructions burned: 118 (million)
% 3.41/1.16 % (1556820)Instruction limit reached!
% 3.41/1.16 % (1556820)------------------------------
% 3.41/1.16 % (1556820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.16 % (1556820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.16 % (1556820)CaDiCaL version: 2.1.3
% 3.41/1.16 % (1556820)Termination reason: Instruction limit
% 3.41/1.16 % (1556820)Termination phase: Saturation
% 3.41/1.16 % (1556820)Time elapsed: 0.071 s
% 3.41/1.16 % (1556820)Peak memory usage: 89 MB
% 3.41/1.16 % (1556820)Instructions burned: 108 (million)
% 3.41/1.16 % (1556831)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=1042982285:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.41/1.16 % (1556831)Instruction limit reached!
% 3.41/1.16 % (1556831)------------------------------
% 3.41/1.16 % (1556831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.16 % (1556831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.16 % (1556831)CaDiCaL version: 2.1.3
% 3.41/1.16 % (1556831)Termination reason: Instruction limit
% 3.41/1.16 % (1556831)Termination phase: Saturation
% 3.41/1.16 % (1556831)Time elapsed: 0.030 s
% 3.41/1.16 % (1556831)Peak memory usage: 88 MB
% 3.41/1.16 % (1556831)Instructions burned: 148 (million)
% 3.41/1.16 % (1556832)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2557623863: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)
% 3.41/1.16 % (1556833)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=217398550:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.41/1.16 % (1556835)lrs+10_64_to=lpo:sil=8000:random_seed=3162103901:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.80/1.26 % (1556822)Refutation found. Thanks to Tanya!
% 3.80/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.80/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.80/1.26 % (1556822)------------------------------
% 3.80/1.26 % (1556822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.26 % (1556822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.26 % (1556822)CaDiCaL version: 2.1.3
% 3.80/1.26 % (1556822)Termination reason: Refutation
% 3.80/1.26 % (1556822)Time elapsed: 0.032 s
% 3.80/1.26 % (1556822)Peak memory usage: 90 MB
% 3.80/1.26 % (1556822)Instructions burned: 48 (million)
% 3.80/1.26 % (1556822)------------------------------
% 3.80/1.26 % (1556822)------------------------------
% 3.80/1.26 % (1556812)Success in time 0.485 s
% 3.80/1.26 % Vampire exiting
%------------------------------------------------------------------------------