%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV753-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:19:25 PM UTC 2026
% Result : Unsatisfiable 7.80s 1.99s
% Output : Refutation 9.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 95 ( 20 unt; 11 def)
% Number of atoms : 213 ( 86 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 199 ( 81 ~; 108 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 11 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 141 ( 0 sgn 141 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0,X1] :
( ~ hBOOL(hAPP(X0,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
fof(f55,axiom,
! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f450,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))
| ~ hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f472,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X0,X1))
| X2 = X1
| ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f473,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
| X1 = X2
| hBOOL(hAPP(X0,X1)) ),
inference(reorient_equations,[],[f472]) ).
fof(f497,axiom,
! [X2,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f613,axiom,
! [X2,X0,X1] : c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OAgent(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I19_J_0) ).
fof(f618,axiom,
! [X2,X3,X0,X1] :
( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
fof(f624,axiom,
! [X2,X3,X0,X1] : c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OMPair(X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I49_J_0) ).
fof(f687,definition,
sF5 = c_Message_Omsg_OCrypt(sF1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f688,plain,
c_Message_Omsg_OCrypt(sF1,sF4) = sF5,
inference(reorient_equations,[],[f687]) ).
fof(f762,plain,
! [X0,X1] : c_Message_Omsg_OMPair(X0,X1) != sF5,
inference(superposition,[],[f624,f688]) ).
fof(f823,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),c_Public_Okeymode_OSignature))
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2)) ),
inference(resolution,[],[f497,f39]) ).
fof(f830,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2))
| ~ hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)) ),
inference(resolution,[],[f823,f450]) ).
fof(f840,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
| hBOOL(hAPP(X1,X0))
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f473,f830]) ).
fof(f843,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2))
| c_Public_Okeymode_OEncryption = X2 ),
inference(resolution,[],[f840,f497]) ).
fof(f847,plain,
! [X0,X1] :
( hBOOL(hAPP(X1,X0))
| c_Public_Okeymode_OSignature = X0
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f843,f473]) ).
fof(f854,plain,
! [X0] :
( c_Public_Okeymode_OSignature = X0
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f847,f55]) ).
fof(f864,plain,
! [X0,X1] :
( X0 = X1
| c_Public_Okeymode_OEncryption = X1
| c_Public_Okeymode_OEncryption = X0 ),
inference(superposition,[],[f854,f854]) ).
fof(f1038,definition,
( spl16_25
<=> c_Public_Okeymode_OEncryption = sF5 ),
introduced(definition,[new_symbols(definition,[spl16_25])],[avatar_definition]) ).
fof(f1039,plain,
( c_Public_Okeymode_OEncryption != sF5
| spl16_25 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1040,plain,
( c_Public_Okeymode_OEncryption = sF5
| ~ spl16_25 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1167,definition,
( spl16_53
<=> ! [X2] : c_Public_Okeymode_OEncryption = c_Message_Omsg_OAgent(X2) ),
introduced(definition,[new_symbols(definition,[spl16_53])],[avatar_definition]) ).
fof(f1168,plain,
( ! [X2] : c_Public_Okeymode_OEncryption = c_Message_Omsg_OAgent(X2)
| ~ spl16_53 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f1216,definition,
( spl16_63
<=> ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Message_Omsg_OCrypt(X0,X1) ),
introduced(definition,[new_symbols(definition,[spl16_63])],[avatar_definition]) ).
fof(f1217,plain,
( ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Message_Omsg_OCrypt(X0,X1)
| ~ spl16_63 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1511,plain,
! [X2,X3,X0,X1,X4] :
( c_Message_Omsg_OMPair(X3,X4) != X0
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = c_Message_Omsg_OCrypt(X1,X2) ),
inference(superposition,[],[f624,f864]) ).
fof(f1525,plain,
! [X2,X3,X0,X1] :
( c_Message_Omsg_OCrypt(X1,X2) != X0
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = c_Message_Omsg_OAgent(X3) ),
inference(superposition,[],[f613,f864]) ).
fof(f1718,plain,
! [X2,X3,X0,X1] :
( c_Public_Okeymode_OEncryption != c_Message_Omsg_OAgent(X2)
| c_Message_Omsg_OCrypt(X0,X1) = X3
| c_Public_Okeymode_OEncryption = X3 ),
inference(superposition,[],[f613,f864]) ).
fof(f1719,plain,
! [X2,X3,X0,X1,X4] :
( c_Public_Okeymode_OEncryption != c_Message_Omsg_OCrypt(X2,X3)
| X0 = X2
| c_Message_Omsg_OCrypt(X0,X1) = X4
| c_Public_Okeymode_OEncryption = X4 ),
inference(superposition,[],[f618,f864]) ).
fof(f1824,plain,
! [X0] :
( c_Public_Okeymode_OEncryption = sF5
| c_Message_Omsg_OCrypt(sF1,sF4) = X0
| c_Public_Okeymode_OEncryption = X0 ),
inference(superposition,[],[f688,f864]) ).
fof(f1841,plain,
! [X2,X0,X1] :
( c_Public_Okeymode_OEncryption != sF5
| c_Message_Omsg_OMPair(X0,X1) = X2
| c_Public_Okeymode_OEncryption = X2 ),
inference(superposition,[],[f762,f864]) ).
fof(f1919,plain,
( ! [X2,X0,X1] :
( c_Message_Omsg_OMPair(X0,X1) = X2
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl16_25 ),
inference(forward_subsumption_resolution,[],[f1841,f1040]) ).
fof(f2079,plain,
( ! [X2,X0,X1,X4] :
( X0 = X2
| c_Message_Omsg_OCrypt(X0,X1) = X4
| c_Public_Okeymode_OEncryption = X4 )
| ~ spl16_63 ),
inference(forward_subsumption_resolution,[],[f1719,f1217]) ).
fof(f2251,definition,
( spl16_139
<=> ! [X1] : c_Public_Okeymode_OEncryption = X1 ),
introduced(definition,[new_symbols(definition,[spl16_139])],[avatar_definition]) ).
fof(f2252,plain,
( ! [X1] : c_Public_Okeymode_OEncryption = X1
| ~ spl16_139 ),
inference(avatar_component_clause,[],[f2251]) ).
fof(f2311,definition,
( spl16_145
<=> ! [X2] : c_Public_Okeymode_OEncryption != c_Message_Omsg_OAgent(X2) ),
introduced(definition,[new_symbols(definition,[spl16_145])],[avatar_definition]) ).
fof(f2312,plain,
( ! [X2] : c_Public_Okeymode_OEncryption != c_Message_Omsg_OAgent(X2)
| ~ spl16_145 ),
inference(avatar_component_clause,[],[f2311]) ).
fof(f2403,plain,
( ! [X2,X0,X4] :
( c_Public_Okeymode_OEncryption = X4
| X0 = X2
| c_Public_Okeymode_OEncryption = X4 )
| ~ spl16_63 ),
inference(forward_demodulation,[],[f2079,f1217]) ).
fof(f2404,plain,
( ! [X2,X0,X4] :
( c_Public_Okeymode_OEncryption = X4
| X0 = X2 )
| ~ spl16_63 ),
inference(duplicate_literal_removal,[],[f2403]) ).
fof(f2546,definition,
( spl16_164
<=> ! [X1,X3] : X1 = X3 ),
introduced(definition,[new_symbols(definition,[spl16_164])],[avatar_definition]) ).
fof(f2547,plain,
( ! [X3,X1] : X1 = X3
| ~ spl16_164 ),
inference(avatar_component_clause,[],[f2546]) ).
fof(f2622,plain,
( spl16_164
| spl16_139
| ~ spl16_63 ),
inference(avatar_split_clause,[],[f2404,f1216,f2251,f2546]) ).
fof(f2773,definition,
( spl16_179
<=> ! [X4,X2,X3] :
( c_Message_Omsg_OMPair(X2,X3) = X4
| c_Public_Okeymode_OEncryption = X4 ) ),
introduced(definition,[new_symbols(definition,[spl16_179])],[avatar_definition]) ).
fof(f2774,plain,
( ! [X2,X3,X4] :
( c_Message_Omsg_OMPair(X2,X3) = X4
| c_Public_Okeymode_OEncryption = X4 )
| ~ spl16_179 ),
inference(avatar_component_clause,[],[f2773]) ).
fof(f2777,definition,
( spl16_180
<=> ! [X4,X0,X1] :
( c_Message_Omsg_OCrypt(X0,X1) = X4
| c_Public_Okeymode_OEncryption = X4 ) ),
introduced(definition,[new_symbols(definition,[spl16_180])],[avatar_definition]) ).
fof(f2778,plain,
( ! [X0,X1,X4] :
( c_Message_Omsg_OCrypt(X0,X1) = X4
| c_Public_Okeymode_OEncryption = X4 )
| ~ spl16_180 ),
inference(avatar_component_clause,[],[f2777]) ).
fof(f2789,plain,
( spl16_180
| spl16_145 ),
inference(avatar_split_clause,[],[f1718,f2311,f2777]) ).
fof(f2792,definition,
( spl16_181
<=> ! [X2,X0,X1] :
( c_Message_Omsg_OCrypt(X1,X2) != X0
| c_Public_Okeymode_OEncryption = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_181])],[avatar_definition]) ).
fof(f2793,plain,
( ! [X2,X0,X1] :
( c_Message_Omsg_OCrypt(X1,X2) != X0
| c_Public_Okeymode_OEncryption = X0 )
| ~ spl16_181 ),
inference(avatar_component_clause,[],[f2792]) ).
fof(f2799,definition,
( spl16_182
<=> ! [X4,X0,X3] :
( c_Message_Omsg_OMPair(X3,X4) != X0
| c_Public_Okeymode_OEncryption = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_182])],[avatar_definition]) ).
fof(f2800,plain,
( ! [X3,X0,X4] :
( c_Message_Omsg_OMPair(X3,X4) != X0
| c_Public_Okeymode_OEncryption = X0 )
| ~ spl16_182 ),
inference(avatar_component_clause,[],[f2799]) ).
fof(f2810,plain,
( spl16_53
| spl16_181 ),
inference(avatar_split_clause,[],[f1525,f2792,f1167]) ).
fof(f2814,plain,
( spl16_63
| spl16_182 ),
inference(avatar_split_clause,[],[f1511,f2799,f1216]) ).
fof(f2819,plain,
( spl16_179
| ~ spl16_25 ),
inference(avatar_split_clause,[],[f1919,f1038,f2773]) ).
fof(f3215,plain,
( $false
| ~ spl16_53
| ~ spl16_145 ),
inference(forward_subsumption_resolution,[],[f2312,f1168]) ).
fof(f3216,plain,
( ~ spl16_53
| ~ spl16_145 ),
inference(avatar_contradiction_clause,[],[f3215]) ).
fof(f3279,plain,
( ! [X0,X1] : X0 = X1
| ~ spl16_139 ),
inference(superposition,[],[f2252,f2252]) ).
fof(f3453,plain,
( spl16_164
| ~ spl16_139 ),
inference(avatar_split_clause,[],[f3279,f2251,f2546]) ).
fof(f3687,plain,
( ! [X0] : hBOOL(X0)
| ~ spl16_164 ),
inference(superposition,[],[f497,f2547]) ).
fof(f3690,plain,
( ! [X2,X3,X0,X1] :
( ~ hBOOL(X0)
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2),X3)) )
| ~ spl16_164 ),
inference(superposition,[],[f823,f2547]) ).
fof(f3702,plain,
( ! [X2,X0] : ~ hBOOL(hAPP(X0,X2))
| ~ spl16_164 ),
inference(superposition,[],[f55,f2547]) ).
fof(f3818,plain,
( ! [X0] : ~ hBOOL(X0)
| ~ spl16_164 ),
inference(forward_subsumption_resolution,[],[f3690,f3702]) ).
fof(f3845,plain,
( $false
| ~ spl16_164 ),
inference(forward_subsumption_resolution,[],[f3818,f3687]) ).
fof(f3846,plain,
~ spl16_164,
inference(avatar_contradiction_clause,[],[f3845]) ).
fof(f3912,plain,
( ! [X0] :
( c_Public_Okeymode_OEncryption = sF5
| c_Public_Okeymode_OEncryption = X0 )
| ~ spl16_181 ),
inference(forward_subsumption_resolution,[],[f1824,f2793]) ).
fof(f3974,plain,
( ! [X4] : c_Public_Okeymode_OEncryption = X4
| ~ spl16_179
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f2774,f2800]) ).
fof(f4118,plain,
( ! [X0] : c_Public_Okeymode_OEncryption = X0
| spl16_25
| ~ spl16_181 ),
inference(forward_subsumption_resolution,[],[f3912,f1039]) ).
fof(f4156,plain,
( spl16_139
| ~ spl16_179
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f3974,f2799,f2773,f2251]) ).
fof(f4217,plain,
( spl16_139
| spl16_25
| ~ spl16_181 ),
inference(avatar_split_clause,[],[f4118,f2792,f1038,f2251]) ).
fof(f5253,plain,
( ! [X3,X0,X1,X4] :
( c_Message_Omsg_OCrypt(X3,X4) != X0
| X1 = X3
| c_Public_Okeymode_OEncryption = X0 )
| ~ spl16_180 ),
inference(superposition,[],[f618,f2778]) ).
fof(f5353,plain,
( ! [X3,X0,X1] :
( X1 = X3
| c_Public_Okeymode_OEncryption = X0 )
| ~ spl16_180 ),
inference(forward_subsumption_resolution,[],[f5253,f2778]) ).
fof(f5371,plain,
( spl16_139
| spl16_164
| ~ spl16_180 ),
inference(avatar_split_clause,[],[f5353,f2777,f2546,f2251]) ).
cnf(s199,plain,
( ~ spl16_63
| spl16_139
| spl16_164 ),
inference(sat_conversion,[],[f2622]) ).
cnf(s281,plain,
( spl16_145
| spl16_180 ),
inference(sat_conversion,[],[f2789]) ).
cnf(s286,plain,
( spl16_53
| spl16_181 ),
inference(sat_conversion,[],[f2810]) ).
cnf(s288,plain,
( spl16_63
| spl16_182 ),
inference(sat_conversion,[],[f2814]) ).
cnf(s290,plain,
( ~ spl16_25
| spl16_179 ),
inference(sat_conversion,[],[f2819]) ).
cnf(s374,plain,
( ~ spl16_53
| ~ spl16_145 ),
inference(sat_conversion,[],[f3216]) ).
cnf(s387,plain,
( ~ spl16_139
| spl16_164 ),
inference(sat_conversion,[],[f3453]) ).
cnf(s415,plain,
~ spl16_164,
inference(sat_conversion,[],[f3846]) ).
cnf(s465,plain,
( spl16_139
| ~ spl16_179
| ~ spl16_182 ),
inference(sat_conversion,[],[f4156]) ).
cnf(s481,plain,
( spl16_25
| spl16_139
| ~ spl16_181 ),
inference(sat_conversion,[],[f4217]) ).
cnf(s666,plain,
( spl16_139
| spl16_164
| ~ spl16_180 ),
inference(sat_conversion,[],[f5371]) ).
cnf(s672,plain,
~ spl16_139,
inference(rat,[],[s387,s415]) ).
cnf(s673,plain,
~ spl16_180,
inference(rat,[],[s666,s415,s672]) ).
cnf(s711,plain,
spl16_145,
inference(rat,[],[s281,s673]) ).
cnf(s712,plain,
~ spl16_53,
inference(rat,[],[s374,s711]) ).
cnf(s713,plain,
spl16_181,
inference(rat,[],[s286,s712]) ).
cnf(s714,plain,
spl16_25,
inference(rat,[],[s481,s672,s713]) ).
cnf(s715,plain,
spl16_179,
inference(rat,[],[s290,s714]) ).
cnf(s716,plain,
~ spl16_182,
inference(rat,[],[s465,s672,s715]) ).
cnf(s717,plain,
spl16_63,
inference(rat,[],[s288,s716]) ).
cnf(s766,plain,
$false,
inference(rat,[],[s199,s415,s672,s717]) ).
fof(f5385,plain,
$false,
inference(avatar_sat_refutation,[],[s766]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV753-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n006.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 12:26:40 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 7.80/1.99 % (3928081)Input is clausal, will run a generic CNF schedule.
% 7.80/1.99 % (3928090)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1289105047:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.80/1.99 % (3928088)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1221380352:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.80/1.99 % (3928086)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=2637614207:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.80/1.99 % (3928087)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1596823202:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.80/1.99 % (3928089)lrs+10_1_sil=8000:sp=occurrence:random_seed=900248183:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.80/1.99 % (3928090)Instruction limit reached!
% 7.80/1.99 % (3928090)------------------------------
% 7.80/1.99 % (3928090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928090)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928090)Termination reason: Instruction limit
% 7.80/1.99 % (3928090)Termination phase: Saturation
% 7.80/1.99 % (3928090)Time elapsed: 0.045 s
% 7.80/1.99 % (3928090)Peak memory usage: 89 MB
% 7.80/1.99 % (3928090)Instructions burned: 115 (million)
% 7.80/1.99 % (3928092)dis-21_1_sil=8000:lcm=predicate:random_seed=4086935387: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)
% 7.80/1.99 % (3928091)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1154209158:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.80/1.99 % (3928089)Instruction limit reached!
% 7.80/1.99 % (3928089)------------------------------
% 7.80/1.99 % (3928089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928089)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928089)Termination reason: Instruction limit
% 7.80/1.99 % (3928089)Termination phase: Saturation
% 7.80/1.99 % (3928089)Time elapsed: 0.073 s
% 7.80/1.99 % (3928089)Peak memory usage: 89 MB
% 7.80/1.99 % (3928089)Instructions burned: 107 (million)
% 7.80/1.99 % (3928092)Instruction limit reached!
% 7.80/1.99 % (3928092)------------------------------
% 7.80/1.99 % (3928092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928092)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928092)Termination reason: Instruction limit
% 7.80/1.99 % (3928092)Termination phase: Saturation
% 7.80/1.99 % (3928092)Time elapsed: 0.070 s
% 7.80/1.99 % (3928092)Peak memory usage: 89 MB
% 7.80/1.99 % (3928092)Instructions burned: 117 (million)
% 7.80/1.99 % (3928098)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=3167277060:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.80/1.99 % (3928091)Instruction limit reached!
% 7.80/1.99 % (3928091)------------------------------
% 7.80/1.99 % (3928091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928091)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928091)Termination reason: Instruction limit
% 7.80/1.99 % (3928091)Termination phase: Saturation
% 7.80/1.99 % (3928091)Time elapsed: 0.118 s
% 7.80/1.99 % (3928091)Peak memory usage: 89 MB
% 7.80/1.99 % (3928091)Instructions burned: 180 (million)
% 7.80/1.99 % (3928098)Refutation not found, incomplete strategy
% 7.80/1.99 % (3928098)------------------------------
% 7.80/1.99 % (3928098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928098)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928098)Termination reason: Refutation not found, incomplete strategy
% 7.80/1.99 % (3928098)Time elapsed: 0.009 s
% 7.80/1.99 % (3928098)Peak memory usage: 89 MB
% 7.80/1.99 % (3928098)Instructions burned: 27 (million)
% 7.80/1.99 % (3928101)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=106061055: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)
% 7.80/1.99 % (3928102)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1663088408:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.80/1.99 % (3928102)Refutation not found, incomplete strategy
% 7.80/1.99 % (3928102)------------------------------
% 7.80/1.99 % (3928102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928102)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928102)Termination reason: Refutation not found, incomplete strategy
% 7.80/1.99 % (3928102)Time elapsed: 0.020 s
% 7.80/1.99 % (3928102)Peak memory usage: 89 MB
% 7.80/1.99 % (3928102)Instructions burned: 32 (million)
% 7.80/1.99 % (3928098)------------------------------
% 7.80/1.99 % (3928098)------------------------------
% 7.80/1.99 % (3928104)lrs+10_64_to=lpo:sil=8000:random_seed=2817264496:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.80/1.99 % (3928101)Instruction limit reached!
% 7.80/1.99 % (3928101)------------------------------
% 7.80/1.99 % (3928101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928101)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928101)Termination reason: Instruction limit
% 7.80/1.99 % (3928101)Termination phase: Saturation
% 7.80/1.99 % (3928101)Time elapsed: 0.106 s
% 7.80/1.99 % (3928101)Peak memory usage: 90 MB
% 7.80/1.99 % (3928101)Instructions burned: 189 (million)
% 7.80/1.99 % (3928104)Instruction limit reached!
% 7.80/1.99 % (3928104)------------------------------
% 7.80/1.99 % (3928104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928104)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928104)Termination reason: Instruction limit
% 7.80/1.99 % (3928104)Termination phase: Saturation
% 7.80/1.99 % (3928104)Time elapsed: 0.081 s
% 7.80/1.99 % (3928104)Peak memory usage: 89 MB
% 7.80/1.99 % (3928104)Instructions burned: 126 (million)
% 7.80/1.99 % (3928107)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=719778321:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.80/1.99 % (3928107)Instruction limit reached!
% 7.80/1.99 % (3928107)------------------------------
% 7.80/1.99 % (3928107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928107)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928107)Termination reason: Instruction limit
% 7.80/1.99 % (3928107)Termination phase: Saturation
% 7.80/1.99 % (3928107)Time elapsed: 0.061 s
% 7.80/1.99 % (3928107)Peak memory usage: 90 MB
% 7.80/1.99 % (3928107)Instructions burned: 196 (million)
% 7.80/1.99 % (3928109)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1660866918:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.80/1.99 % (3928102)------------------------------
% 7.80/1.99 % (3928102)------------------------------
% 7.80/1.99 % (3928110)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2882329235:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.80/1.99 % (3928112)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=460679108:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.80/1.99 % (3928109)Instruction limit reached!
% 7.80/1.99 % (3928109)------------------------------
% 7.80/1.99 % (3928109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928109)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928109)Termination reason: Instruction limit
% 7.80/1.99 % (3928109)Termination phase: Saturation
% 7.80/1.99 % (3928109)Time elapsed: 0.107 s
% 7.80/1.99 % (3928109)Peak memory usage: 91 MB
% 7.80/1.99 % (3928109)Instructions burned: 158 (million)
% 7.80/1.99 % (3928112)Instruction limit reached!
% 7.80/1.99 % (3928112)------------------------------
% 7.80/1.99 % (3928112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928112)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928112)Termination reason: Instruction limit
% 7.80/1.99 % (3928112)Termination phase: Saturation
% 7.80/1.99 % (3928112)Time elapsed: 0.032 s
% 7.80/1.99 % (3928112)Peak memory usage: 89 MB
% 7.80/1.99 % (3928112)Instructions burned: 108 (million)
% 7.80/1.99 % (3928114)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3354119506:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.80/1.99 % (3928118)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3497841467:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.80/1.99 % (3928114)Instruction limit reached!
% 7.80/1.99 % (3928114)------------------------------
% 7.80/1.99 % (3928114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928114)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928114)Termination reason: Instruction limit
% 7.80/1.99 % (3928114)Termination phase: Saturation
% 7.80/1.99 % (3928114)Time elapsed: 0.072 s
% 7.80/1.99 % (3928114)Peak memory usage: 90 MB
% 7.80/1.99 % (3928114)Instructions burned: 108 (million)
% 7.80/1.99 % (3928117)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2125231500:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 7.80/1.99 % (3928086)First to succeed.
% 7.80/1.99 % (3928086)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3928081"
% 7.80/1.99 % (3928117)Instruction limit reached!
% 7.80/1.99 % (3928117)------------------------------
% 7.80/1.99 % (3928117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928117)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928117)Termination reason: Instruction limit
% 7.80/1.99 % (3928117)Termination phase: Saturation
% 7.80/1.99 % (3928117)Time elapsed: 0.151 s
% 7.80/1.99 % (3928117)Peak memory usage: 90 MB
% 7.80/1.99 % (3928117)Instructions burned: 243 (million)
% 7.80/1.99 % (3928121)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=216485458:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 7.80/1.99 % (3928121)Instruction limit reached!
% 7.80/1.99 % (3928121)------------------------------
% 7.80/1.99 % (3928121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (3928121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (3928121)CaDiCaL version: 2.1.3
% 7.80/1.99 % (3928121)Termination reason: Instruction limit
% 7.80/1.99 % (3928121)Termination phase: Saturation
% 7.80/1.99 % (3928121)Time elapsed: 0.087 s
% 7.80/1.99 % (3928121)Peak memory usage: 90 MB
% 7.80/1.99 % (3928121)Instructions burned: 134 (million)
% 7.80/1.99 % (3928123)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3266770272:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 7.80/1.99 % (3928086)Refutation found. Thanks to Tanya!
% 7.80/1.99 % SZS status Unsatisfiable for theBenchmark
% 7.80/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 9.80/2.19 % (3928086)------------------------------
% 9.80/2.19 % (3928086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.19 % (3928086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.19 % (3928086)CaDiCaL version: 2.1.3
% 9.80/2.19 % (3928086)Termination reason: Refutation
% 9.80/2.19 % (3928086)Time elapsed: 0.882 s
% 9.80/2.19 % (3928086)Peak memory usage: 135 MB
% 9.80/2.19 % (3928086)Instructions burned: 1399 (million)
% 9.80/2.19 % (3928086)------------------------------
% 9.80/2.19 % (3928086)------------------------------
% 9.80/2.19 % (3928081)Success in time 1.322 s
% 9.80/2.19 % Vampire exiting
%------------------------------------------------------------------------------