%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET857-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:42:10 PM UTC 2026
% Result : Unsatisfiable 13.07s 2.85s
% Output : Refutation 13.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 48 ( 13 unt; 2 def)
% Number of atoms : 134 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 148 ( 62 ~; 84 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 59 ( 0 sgn 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f378,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f379,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f380,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f383,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f1434,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
fof(f1435,axiom,
! [X2,X3,X0,X1] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).
fof(f1436,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).
fof(f1437,axiom,
! [X2,X3,X0,X1] :
( c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2) != X0
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).
fof(f1438,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),X0,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).
fof(f1443,negated_conjecture,
c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1444,negated_conjecture,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1446,negated_conjecture,
c_in(v_x,v_Y,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1447,negated_conjecture,
~ c_lessequals(v_x,v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1448,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1449,negated_conjecture,
! [X0,X1] :
( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
| X0 = X1
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f1454,plain,
! [X2,X3,X0,X1] :
( c_in(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2)) ),
inference(resolution,[],[f378,f1434]) ).
fof(f1459,plain,
! [X0] :
( c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1443,f378]) ).
fof(f1460,plain,
( v_n = v_x
| ~ c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,v_Y,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1449,f1448]) ).
fof(f1461,plain,
! [X0,X1] :
( c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a) = X0
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1449,f1438]) ).
fof(f1463,plain,
! [X0,X1] :
( c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a) = X0
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[],[f1461,f1436]) ).
fof(f1464,plain,
( v_n = v_x
| ~ c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))
| ~ c_in(v_x,v_Y,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[],[f1460,f1444]) ).
fof(f1465,plain,
! [X0,X1] :
( c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a) = X0
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[],[f1463,f1435]) ).
fof(f1466,plain,
( v_n = v_x
| ~ c_lessequals(v_n,v_x,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[],[f1464,f1446]) ).
fof(f1467,plain,
! [X0,X1] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[],[f1465,f1437]) ).
fof(f1469,definition,
( spl0_1
<=> c_lessequals(v_n,v_x,tc_set(tc_set(t_a))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1471,plain,
( ~ c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))
| spl0_1 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1473,definition,
( spl0_2
<=> v_n = v_x ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1475,plain,
( v_n = v_x
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1476,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1466,f1473,f1469]) ).
fof(f1477,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[],[f1467,f1459]) ).
fof(f1480,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Zorn_Osucc(v_S,X1,t_a),tc_set(t_a))
| c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(X2,X0,tc_set(t_a)) ),
inference(resolution,[],[f1477,f378]) ).
fof(f1492,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| c_in(X2,X0,tc_set(t_a))
| ~ c_in(X2,X1,tc_set(t_a)) ),
inference(resolution,[],[f1480,f1454]) ).
fof(f1494,plain,
! [X0,X1] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_in(X1,v_n,tc_set(t_a))
| ~ c_in(X1,X0,tc_set(t_a)) ),
inference(resolution,[],[f1492,f1444]) ).
fof(f1497,plain,
! [X0] :
( c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))
| c_in(X0,v_n,tc_set(t_a))
| ~ c_in(X0,v_x,tc_set(t_a)) ),
inference(resolution,[],[f1494,f1446]) ).
fof(f1667,plain,
( ~ c_lessequals(v_n,v_n,tc_set(tc_set(t_a)))
| ~ spl0_2 ),
inference(superposition,[],[f1447,f1475]) ).
fof(f1673,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1667,f383]) ).
fof(f1674,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1673]) ).
fof(f1677,plain,
( ! [X0] :
( ~ c_in(X0,v_x,tc_set(t_a))
| c_in(X0,v_n,tc_set(t_a)) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1497,f1471]) ).
fof(f1860,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_x,X0,tc_set(t_a)),v_n,tc_set(t_a))
| c_lessequals(v_x,X0,tc_set(tc_set(t_a))) )
| spl0_1 ),
inference(resolution,[],[f379,f1677]) ).
fof(f2022,plain,
( c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))
| spl0_1 ),
inference(resolution,[],[f1860,f380]) ).
fof(f2023,plain,
( c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f2022]) ).
fof(f2025,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2023,f1447]) ).
fof(f2026,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f2025]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s11,plain,
~ spl0_2,
inference(sat_conversion,[],[f1674]) ).
cnf(s17,plain,
spl0_1,
inference(sat_conversion,[],[f2026]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s1,s11,s17]) ).
fof(f2027,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET857-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 03:02:21 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 11.54/2.52 % (766227)Input is clausal, will run a generic CNF schedule.
% 11.54/2.52 % (766234)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3031534293:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.54/2.52 % (766236)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=314358978:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.54/2.52 % (766237)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3906024756:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.54/2.52 % (766232)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=565376958:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.54/2.52 % (766233)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=670960043:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.54/2.52 % (766235)lrs+10_1_sil=8000:sp=occurrence:random_seed=2679401480:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.54/2.52 % (766238)dis-21_1_sil=8000:lcm=predicate:random_seed=732373574: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)
% 11.54/2.52 % (766235)Instruction limit reached!
% 11.54/2.52 % (766235)------------------------------
% 11.54/2.52 % (766235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.52 % (766235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.52 % (766235)CaDiCaL version: 2.1.3
% 11.54/2.52 % (766235)Termination reason: Instruction limit
% 11.54/2.52 % (766235)Termination phase: Saturation
% 11.54/2.52 % (766235)Time elapsed: 0.069 s
% 11.54/2.52 % (766235)Peak memory usage: 89 MB
% 11.54/2.52 % (766235)Instructions burned: 107 (million)
% 11.54/2.52 % (766236)Instruction limit reached!
% 11.54/2.52 % (766236)------------------------------
% 11.54/2.52 % (766236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.52 % (766236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.52 % (766236)CaDiCaL version: 2.1.3
% 11.54/2.52 % (766236)Termination reason: Instruction limit
% 11.54/2.52 % (766236)Termination phase: Saturation
% 11.54/2.52 % (766236)Time elapsed: 0.072 s
% 11.54/2.52 % (766236)Peak memory usage: 89 MB
% 11.54/2.52 % (766236)Instructions burned: 114 (million)
% 11.54/2.52 % (766238)Instruction limit reached!
% 11.54/2.52 % (766238)------------------------------
% 11.54/2.52 % (766238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.52 % (766238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.52 % (766238)CaDiCaL version: 2.1.3
% 11.54/2.52 % (766238)Termination reason: Instruction limit
% 11.54/2.52 % (766238)Termination phase: Saturation
% 11.54/2.52 % (766238)Time elapsed: 0.069 s
% 11.54/2.52 % (766238)Peak memory usage: 90 MB
% 11.54/2.52 % (766238)Instructions burned: 119 (million)
% 11.54/2.52 % (766237)Instruction limit reached!
% 11.54/2.52 % (766237)------------------------------
% 11.54/2.52 % (766237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.52 % (766237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.52 % (766237)CaDiCaL version: 2.1.3
% 11.54/2.52 % (766237)Termination reason: Instruction limit
% 11.54/2.52 % (766237)Termination phase: Saturation
% 11.54/2.52 % (766237)Time elapsed: 0.124 s
% 11.54/2.52 % (766237)Peak memory usage: 90 MB
% 11.54/2.52 % (766237)Instructions burned: 181 (million)
% 11.54/2.52 % (766247)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2810367010: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)
% 11.54/2.52 % (766246)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=2687533516:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.54/2.52 % (766248)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3437030919:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.54/2.52 % (766249)lrs+10_64_to=lpo:sil=8000:random_seed=1390987682:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.54/2.52 % (766246)Instruction limit reached!
% 11.54/2.52 % (766246)------------------------------
% 11.54/2.52 % (766246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766246)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766246)Termination reason: Instruction limit
% 12.04/2.65 % (766246)Termination phase: Saturation
% 12.04/2.65 % (766246)Time elapsed: 0.088 s
% 12.04/2.65 % (766246)Peak memory usage: 89 MB
% 12.04/2.65 % (766246)Instructions burned: 143 (million)
% 12.04/2.65 % (766247)Instruction limit reached!
% 12.04/2.65 % (766247)------------------------------
% 12.04/2.65 % (766247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766247)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766247)Termination reason: Instruction limit
% 12.04/2.65 % (766247)Termination phase: Saturation
% 12.04/2.65 % (766247)Time elapsed: 0.104 s
% 12.04/2.65 % (766247)Peak memory usage: 89 MB
% 12.04/2.65 % (766247)Instructions burned: 190 (million)
% 12.04/2.65 % (766248)Instruction limit reached!
% 12.04/2.65 % (766248)------------------------------
% 12.04/2.65 % (766248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766248)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766248)Termination reason: Instruction limit
% 12.04/2.65 % (766248)Termination phase: Saturation
% 12.04/2.65 % (766248)Time elapsed: 0.123 s
% 12.04/2.65 % (766248)Peak memory usage: 90 MB
% 12.04/2.65 % (766248)Instructions burned: 219 (million)
% 12.04/2.65 % (766249)Instruction limit reached!
% 12.04/2.65 % (766249)------------------------------
% 12.04/2.65 % (766249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766249)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766249)Termination reason: Instruction limit
% 12.04/2.65 % (766249)Termination phase: Saturation
% 12.04/2.65 % (766249)Time elapsed: 0.077 s
% 12.04/2.65 % (766249)Peak memory usage: 90 MB
% 12.04/2.65 % (766249)Instructions burned: 127 (million)
% 12.04/2.65 % (766255)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4020915989:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 12.04/2.65 % (766256)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1595400096:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 12.04/2.65 % (766257)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1090781877:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 12.04/2.65 % (766258)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=1129716540:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 12.04/2.65 % (766256)Instruction limit reached!
% 12.04/2.65 % (766256)------------------------------
% 12.04/2.65 % (766256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766256)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766256)Termination reason: Instruction limit
% 12.04/2.65 % (766256)Termination phase: Saturation
% 12.04/2.65 % (766256)Time elapsed: 0.091 s
% 12.04/2.65 % (766256)Peak memory usage: 91 MB
% 12.04/2.65 % (766256)Instructions burned: 157 (million)
% 12.04/2.65 % (766255)Instruction limit reached!
% 12.04/2.65 % (766255)------------------------------
% 12.04/2.65 % (766255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766255)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766255)Termination reason: Instruction limit
% 12.04/2.65 % (766255)Termination phase: Saturation
% 12.04/2.65 % (766255)Time elapsed: 0.125 s
% 12.04/2.65 % (766255)Peak memory usage: 90 MB
% 12.04/2.65 % (766255)Instructions burned: 195 (million)
% 12.04/2.65 % (766258)Instruction limit reached!
% 12.04/2.65 % (766258)------------------------------
% 12.04/2.65 % (766258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766258)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766258)Termination reason: Instruction limit
% 12.04/2.65 % (766258)Termination phase: Saturation
% 12.04/2.65 % (766258)Time elapsed: 0.054 s
% 12.04/2.65 % (766258)Peak memory usage: 89 MB
% 12.04/2.65 % (766258)Instructions burned: 107 (million)
% 12.04/2.65 % (766263)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4118939798:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 12.04/2.65 % (766264)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1313039204:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 12.04/2.65 % (766265)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=462038668:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 12.04/2.65 % (766263)Instruction limit reached!
% 12.04/2.65 % (766263)------------------------------
% 12.04/2.65 % (766263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766263)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766263)Termination reason: Instruction limit
% 12.04/2.65 % (766263)Termination phase: Saturation
% 12.04/2.65 % (766263)Time elapsed: 0.069 s
% 12.04/2.65 % (766263)Peak memory usage: 89 MB
% 12.04/2.65 % (766263)Instructions burned: 109 (million)
% 12.04/2.65 % (766264)Instruction limit reached!
% 12.04/2.65 % (766264)------------------------------
% 12.04/2.65 % (766264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766264)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766264)Termination reason: Instruction limit
% 12.04/2.65 % (766264)Termination phase: Saturation
% 12.04/2.65 % (766264)Time elapsed: 0.132 s
% 12.04/2.65 % (766264)Peak memory usage: 89 MB
% 12.04/2.65 % (766264)Instructions burned: 243 (million)
% 12.04/2.65 % (766269)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=318392901:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 12.04/2.65 % (766270)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3941316334:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 12.04/2.65 % (766269)Instruction limit reached!
% 12.04/2.65 % (766269)------------------------------
% 12.04/2.65 % (766269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766269)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766269)Termination reason: Instruction limit
% 12.04/2.65 % (766269)Termination phase: Saturation
% 12.04/2.65 % (766269)Time elapsed: 0.091 s
% 12.04/2.65 % (766269)Peak memory usage: 90 MB
% 12.04/2.65 % (766269)Instructions burned: 134 (million)
% 12.04/2.65 % (766273)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3828680102:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 12.04/2.65 % (766270)Instruction limit reached!
% 12.04/2.65 % (766270)------------------------------
% 12.04/2.65 % (766270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766270)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766270)Termination reason: Instruction limit
% 12.04/2.65 % (766270)Termination phase: Saturation
% 12.04/2.65 % (766270)Time elapsed: 0.259 s
% 12.04/2.65 % (766270)Peak memory usage: 98 MB
% 12.04/2.65 % (766270)Instructions burned: 499 (million)
% 12.04/2.65 % (766273)Instruction limit reached!
% 12.04/2.65 % (766273)------------------------------
% 12.04/2.65 % (766273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/2.65 % (766273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/2.65 % (766273)CaDiCaL version: 2.1.3
% 12.04/2.65 % (766273)Termination reason: Instruction limit
% 12.04/2.65 % (766273)Termination phase: Saturation
% 12.04/2.65 % (766273)Time elapsed: 0.120 s
% 12.04/2.65 % (766273)Peak memory usage: 90 MB
% 12.04/2.65 % (766273)Instructions burned: 191 (million)
% 12.04/2.65 % (766257)First to succeed.
% 12.04/2.65 % (766257)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-766227"
% 12.04/2.65 % (766275)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3905205763:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 12.04/2.65 % (766276)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3016068915:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 13.07/2.85 % (766276)Instruction limit reached!
% 13.07/2.85 % (766276)------------------------------
% 13.07/2.85 % (766276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/2.85 % (766276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/2.85 % (766276)CaDiCaL version: 2.1.3
% 13.07/2.85 % (766276)Termination reason: Instruction limit
% 13.07/2.85 % (766276)Termination phase: Saturation
% 13.07/2.85 % (766276)Time elapsed: 0.096 s
% 13.07/2.85 % (766276)Peak memory usage: 90 MB
% 13.07/2.85 % (766276)Instructions burned: 157 (million)
% 13.07/2.85 % (766275)Instruction limit reached!
% 13.07/2.85 % (766275)------------------------------
% 13.07/2.85 % (766275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/2.85 % (766275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/2.85 % (766275)CaDiCaL version: 2.1.3
% 13.07/2.85 % (766275)Termination reason: Instruction limit
% 13.07/2.85 % (766275)Termination phase: Saturation
% 13.07/2.85 % (766275)Time elapsed: 0.154 s
% 13.07/2.85 % (766275)Peak memory usage: 92 MB
% 13.07/2.85 % (766275)Instructions burned: 264 (million)
% 13.07/2.85 % (766257)Refutation found. Thanks to Tanya!
% 13.07/2.85 % SZS status Unsatisfiable for theBenchmark
% 13.07/2.85 % SZS output start Proof for theBenchmark
% See solution above
% 13.07/2.86 % (766257)------------------------------
% 13.07/2.86 % (766257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/2.86 % (766257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/2.86 % (766257)CaDiCaL version: 2.1.3
% 13.07/2.86 % (766257)Termination reason: Refutation
% 13.07/2.86 % (766257)Time elapsed: 0.835 s
% 13.07/2.86 % (766257)Peak memory usage: 137 MB
% 13.07/2.86 % (766257)Instructions burned: 1269 (million)
% 13.07/2.86 % (766257)------------------------------
% 13.07/2.86 % (766257)------------------------------
% 13.07/2.86 % (766227)Success in time 1.784 s
% 13.07/2.86 % Vampire exiting
%------------------------------------------------------------------------------