%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL271-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 11:51:50 AM UTC 2026
% Result : Unsatisfiable 12.76s 2.98s
% Output : Refutation 14.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 25
% Syntax : Number of formulae : 119 ( 61 unt; 14 def)
% Number of atoms : 196 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 153 ( 76 ~; 73 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(p,and(p,p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(not(or(not(or(not(p),not(or(not(p),not(p))))),not(or(not(not(or(not(p),not(p)))),p))))),
inference(definition_unfolding,[],[f11,f12,f9]) ).
fof(f20,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
not(p) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = or(sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
or(sF0,sF0) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = or(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
or(sF0,sF2) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = not(sF2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
not(sF2) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = or(sF5,p),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
or(sF5,p) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = not(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
not(sF6) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = or(sF4,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
or(sF4,sF7) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = not(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
not(sF8) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,plain,
~ theorem(sF9),
inference(definition_folding,[],[f19,f39,f37,f35,f33,f31,f25,f23,f21,f21,f29,f27,f25,f23,f21,f21,f21]) ).
fof(f41,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f17,f7]) ).
fof(f58,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f41]) ).
fof(f62,plain,
! [X0] :
( ~ theorem(or(sF4,X0))
| theorem(X0)
| ~ theorem(sF3) ),
inference(superposition,[],[f18,f29]) ).
fof(f73,definition,
( spl10_3
<=> theorem(sF3) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f75,plain,
( ~ theorem(sF3)
| spl10_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl10_4
<=> ! [X0] :
( ~ theorem(or(sF4,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f78,plain,
( ! [X0] :
( ~ theorem(or(sF4,X0))
| theorem(X0) )
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f79,plain,
( ~ spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f62,f77,f73]) ).
fof(f126,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f126,f18]) ).
fof(f161,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f175,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f161,f18]) ).
fof(f179,plain,
theorem(or(not(sF8),or(sF7,sF4))),
inference(superposition,[],[f161,f37]) ).
fof(f187,plain,
theorem(or(sF9,or(sF7,sF4))),
inference(forward_demodulation,[],[f179,f39]) ).
fof(f197,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f211,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f197,f135]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f58,f18]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f225,f161]) ).
fof(f245,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f225,f58]) ).
fof(f246,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f225,f197]) ).
fof(f251,plain,
! [X0,X1] :
( ~ theorem(or(sF7,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF6)) ),
inference(superposition,[],[f225,f35]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ),
inference(resolution,[],[f245,f126]) ).
fof(f273,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f276,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f273,f225]) ).
fof(f282,plain,
theorem(or(not(sF1),sF0)),
inference(superposition,[],[f273,f23]) ).
fof(f283,plain,
theorem(or(sF2,sF0)),
inference(forward_demodulation,[],[f282,f25]) ).
fof(f287,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f276,f197]) ).
fof(f293,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f246,f244]) ).
fof(f303,plain,
theorem(or(sF7,or(sF9,sF4))),
inference(resolution,[],[f187,f135]) ).
fof(f308,plain,
theorem(or(sF0,sF2)),
inference(resolution,[],[f283,f175]) ).
fof(f309,plain,
theorem(sF3),
inference(forward_demodulation,[],[f308,f27]) ).
fof(f310,plain,
( $false
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f309,f75]) ).
fof(f311,plain,
spl10_3,
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f361,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f263,f18]) ).
fof(f382,plain,
( ! [X0,X1] :
( ~ theorem(or(sF4,X0))
| theorem(or(X0,X1)) )
| ~ spl10_4 ),
inference(resolution,[],[f293,f78]) ).
fof(f386,plain,
! [X0] :
( ~ theorem(or(X0,sF5))
| theorem(or(X0,sF6)) ),
inference(superposition,[],[f293,f33]) ).
fof(f403,plain,
theorem(or(sF7,or(sF4,sF9))),
inference(resolution,[],[f303,f244]) ).
fof(f421,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f287,f175]) ).
fof(f524,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f361,f273]) ).
fof(f528,plain,
! [X0,X1] :
( ~ theorem(or(not(sF1),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF0,or(X1,sF0))) ),
inference(superposition,[],[f361,f23]) ).
fof(f531,plain,
! [X0,X1] :
( ~ theorem(or(not(sF6),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF5,or(X1,p))) ),
inference(superposition,[],[f361,f33]) ).
fof(f532,plain,
! [X0,X1] :
( ~ theorem(or(sF5,or(X1,p)))
| theorem(or(X1,X0))
| ~ theorem(or(sF7,X0)) ),
inference(forward_demodulation,[],[f531,f35]) ).
fof(f535,plain,
! [X0,X1] :
( ~ theorem(or(sF0,or(X1,sF0)))
| theorem(or(X1,X0))
| ~ theorem(or(sF2,X0)) ),
inference(forward_demodulation,[],[f528,f25]) ).
fof(f583,plain,
! [X0] :
( theorem(or(X0,or(sF4,sF9)))
| ~ theorem(or(X0,sF6)) ),
inference(resolution,[],[f251,f403]) ).
fof(f684,definition,
( spl10_25
<=> theorem(or(sF9,sF6)) ),
introduced(definition,[new_symbols(definition,[spl10_25])],[avatar_definition]) ).
fof(f685,plain,
( theorem(or(sF9,sF6))
| ~ spl10_25 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f686,plain,
( ~ theorem(or(sF9,sF6))
| spl10_25 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f697,definition,
( spl10_28
<=> theorem(or(sF4,sF9)) ),
introduced(definition,[new_symbols(definition,[spl10_28])],[avatar_definition]) ).
fof(f698,plain,
( ~ theorem(or(sF4,sF9))
| spl10_28 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f699,plain,
( theorem(or(sF4,sF9))
| ~ spl10_28 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f722,plain,
( theorem(sF9)
| ~ spl10_4
| ~ spl10_28 ),
inference(resolution,[],[f699,f78]) ).
fof(f724,plain,
( $false
| ~ spl10_4
| ~ spl10_28 ),
inference(forward_subsumption_resolution,[],[f722,f40]) ).
fof(f725,plain,
( ~ spl10_4
| ~ spl10_28 ),
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f742,plain,
( ! [X0] : theorem(or(not(sF4),X0))
| ~ spl10_4 ),
inference(resolution,[],[f382,f421]) ).
fof(f1026,plain,
! [X0] :
( theorem(or(not(p),X0))
| ~ theorem(or(sF7,X0)) ),
inference(resolution,[],[f211,f532]) ).
fof(f1037,plain,
! [X0] :
( ~ theorem(or(sF7,X0))
| theorem(or(sF0,X0)) ),
inference(forward_demodulation,[],[f1026,f21]) ).
fof(f1127,plain,
( theorem(or(sF4,sF9))
| ~ theorem(or(sF9,sF6)) ),
inference(resolution,[],[f524,f583]) ).
fof(f1250,plain,
theorem(or(sF0,or(sF9,sF4))),
inference(resolution,[],[f1037,f303]) ).
fof(f1267,plain,
! [X0] :
( theorem(or(sF0,or(sF9,X0)))
| ~ theorem(or(not(sF4),X0)) ),
inference(resolution,[],[f1250,f245]) ).
fof(f1271,plain,
( ! [X0] : theorem(or(sF0,or(sF9,X0)))
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f1267,f742]) ).
fof(f1272,plain,
( ! [X0] :
( ~ theorem(or(sF2,X0))
| theorem(or(sF9,X0)) )
| ~ spl10_4 ),
inference(resolution,[],[f1271,f535]) ).
fof(f1306,plain,
( theorem(or(sF9,not(sF2)))
| ~ spl10_4 ),
inference(resolution,[],[f1272,f421]) ).
fof(f1307,plain,
( theorem(or(sF9,sF5))
| ~ spl10_4 ),
inference(forward_demodulation,[],[f1306,f31]) ).
fof(f1313,plain,
( theorem(or(sF9,sF6))
| ~ spl10_4 ),
inference(resolution,[],[f1307,f386]) ).
fof(f1315,plain,
( $false
| ~ spl10_4
| spl10_25 ),
inference(forward_subsumption_resolution,[],[f1313,f686]) ).
fof(f1316,plain,
( ~ spl10_4
| spl10_25 ),
inference(avatar_contradiction_clause,[],[f1315]) ).
fof(f1317,plain,
( ~ theorem(or(sF9,sF6))
| spl10_28 ),
inference(forward_subsumption_resolution,[],[f1127,f698]) ).
fof(f1318,plain,
( $false
| ~ spl10_25
| spl10_28 ),
inference(forward_subsumption_resolution,[],[f1317,f685]) ).
fof(f1319,plain,
( ~ spl10_25
| spl10_28 ),
inference(avatar_contradiction_clause,[],[f1318]) ).
cnf(s2,plain,
( ~ spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f79]) ).
cnf(s7,plain,
spl10_3,
inference(sat_conversion,[],[f311]) ).
cnf(s20,plain,
( ~ spl10_4
| ~ spl10_28 ),
inference(sat_conversion,[],[f725]) ).
cnf(s47,plain,
( ~ spl10_4
| spl10_25 ),
inference(sat_conversion,[],[f1316]) ).
cnf(s48,plain,
( ~ spl10_25
| spl10_28 ),
inference(sat_conversion,[],[f1319]) ).
cnf(s49,plain,
spl10_4,
inference(rat,[],[s2,s7]) ).
cnf(s50,plain,
spl10_25,
inference(rat,[],[s47,s49]) ).
cnf(s54,plain,
~ spl10_28,
inference(rat,[],[s20,s49]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s48,s54,s50]) ).
fof(f1320,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL271-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n019.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:32:04 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 12.76/2.98 % (3212447)Input is clausal, will run a generic CNF schedule.
% 12.76/2.98 % (3212462)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2909083844:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.76/2.98 % (3212466)dis-21_1_sil=8000:lcm=predicate:random_seed=2674526529: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)
% 12.76/2.98 % (3212466)Instruction limit reached!
% 12.76/2.98 % (3212466)------------------------------
% 12.76/2.98 % (3212466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212466)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212466)Termination reason: Instruction limit
% 12.76/2.98 % (3212466)Termination phase: Saturation
% 12.76/2.98 % (3212466)Time elapsed: 0.053 s
% 12.76/2.98 % (3212466)Peak memory usage: 87 MB
% 12.76/2.98 % (3212466)Instructions burned: 118 (million)
% 12.76/2.98 % (3212465)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=266540645:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.76/2.98 % (3212463)lrs+10_1_sil=8000:sp=occurrence:random_seed=986594892:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.76/2.98 % (3212464)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1049283478:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.76/2.98 % (3212460)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=1677244116:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.76/2.98 % (3212461)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1625122702:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.76/2.98 % (3212463)Instruction limit reached!
% 12.76/2.98 % (3212463)------------------------------
% 12.76/2.98 % (3212463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212463)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212463)Termination reason: Instruction limit
% 12.76/2.98 % (3212463)Termination phase: Saturation
% 12.76/2.98 % (3212463)Time elapsed: 0.111 s
% 12.76/2.98 % (3212463)Peak memory usage: 89 MB
% 12.76/2.98 % (3212463)Instructions burned: 107 (million)
% 12.76/2.98 % (3212464)Instruction limit reached!
% 12.76/2.98 % (3212464)------------------------------
% 12.76/2.98 % (3212464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212464)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212464)Termination reason: Instruction limit
% 12.76/2.98 % (3212464)Termination phase: Saturation
% 12.76/2.98 % (3212464)Time elapsed: 0.113 s
% 12.76/2.98 % (3212464)Peak memory usage: 89 MB
% 12.76/2.98 % (3212464)Instructions burned: 114 (million)
% 12.76/2.98 % (3212465)Instruction limit reached!
% 12.76/2.98 % (3212465)------------------------------
% 12.76/2.98 % (3212465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212465)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212465)Termination reason: Instruction limit
% 12.76/2.98 % (3212465)Termination phase: Saturation
% 12.76/2.98 % (3212465)Time elapsed: 0.179 s
% 12.76/2.98 % (3212465)Peak memory usage: 90 MB
% 12.76/2.98 % (3212465)Instructions burned: 180 (million)
% 12.76/2.98 % (3212473)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=1883952781:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 12.76/2.98 % (3212473)Refutation not found, incomplete strategy
% 12.76/2.98 % (3212473)------------------------------
% 12.76/2.98 % (3212473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212473)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212473)Termination reason: Refutation not found, incomplete strategy
% 12.76/2.98 % (3212473)Time elapsed: 0.002 s
% 12.76/2.98 % (3212473)Peak memory usage: 88 MB
% 12.76/2.98 % (3212480)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1396918182:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 12.76/2.98 % (3212480)Refutation not found, incomplete strategy
% 12.76/2.98 % (3212480)------------------------------
% 12.76/2.98 % (3212480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212480)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212480)Termination reason: Refutation not found, incomplete strategy
% 12.76/2.98 % (3212480)Time elapsed: 0.002 s
% 12.76/2.98 % (3212480)Peak memory usage: 88 MB
% 12.76/2.98 % (3212480)Instructions burned: 1 (million)
% 12.76/2.98 % (3212479)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=634757087:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 12.76/2.98 % (3212479)Refutation not found, incomplete strategy
% 12.76/2.98 % (3212479)------------------------------
% 12.76/2.98 % (3212479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212479)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212479)Termination reason: Refutation not found, incomplete strategy
% 12.76/2.98 % (3212479)Time elapsed: 0.002 s
% 12.76/2.98 % (3212479)Peak memory usage: 87 MB
% 12.76/2.98 % (3212482)lrs+10_64_to=lpo:sil=8000:random_seed=3140797264:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 12.76/2.98 % (3212482)Instruction limit reached!
% 12.76/2.98 % (3212482)------------------------------
% 12.76/2.98 % (3212482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212482)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212482)Termination reason: Instruction limit
% 12.76/2.98 % (3212482)Termination phase: Saturation
% 12.76/2.98 % (3212482)Time elapsed: 0.073 s
% 12.76/2.98 % (3212482)Peak memory usage: 89 MB
% 12.76/2.98 % (3212482)Instructions burned: 126 (million)
% 12.76/2.98 % (3212473)------------------------------
% 12.76/2.98 % (3212473)------------------------------
% 12.76/2.98 % (3212490)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4033539468:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 12.76/2.98 % (3212480)------------------------------
% 12.76/2.98 % (3212480)------------------------------
% 12.76/2.98 % (3212479)------------------------------
% 12.76/2.98 % (3212479)------------------------------
% 12.76/2.98 % (3212491)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1564107983:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 12.76/2.98 % (3212490)Instruction limit reached!
% 12.76/2.98 % (3212490)------------------------------
% 12.76/2.98 % (3212490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212490)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212490)Termination reason: Instruction limit
% 12.76/2.98 % (3212490)Termination phase: Saturation
% 12.76/2.98 % (3212490)Time elapsed: 0.206 s
% 12.76/2.98 % (3212490)Peak memory usage: 90 MB
% 12.76/2.98 % (3212490)Instructions burned: 194 (million)
% 12.76/2.98 % (3212491)Instruction limit reached!
% 12.76/2.98 % (3212491)------------------------------
% 12.76/2.98 % (3212491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212491)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212491)Termination reason: Instruction limit
% 12.76/2.98 % (3212491)Termination phase: Saturation
% 12.76/2.98 % (3212491)Time elapsed: 0.158 s
% 12.76/2.98 % (3212491)Peak memory usage: 91 MB
% 12.76/2.98 % (3212491)Instructions burned: 157 (million)
% 12.76/2.98 % (3212493)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4252829399:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 12.76/2.98 % (3212494)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=206556224:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 12.76/2.98 % (3212494)Instruction limit reached!
% 12.76/2.98 % (3212494)------------------------------
% 12.76/2.98 % (3212494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212494)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212494)Termination reason: Instruction limit
% 12.76/2.98 % (3212494)Termination phase: Saturation
% 12.76/2.98 % (3212494)Time elapsed: 0.099 s
% 12.76/2.98 % (3212494)Peak memory usage: 89 MB
% 12.76/2.98 % (3212494)Instructions burned: 107 (million)
% 12.76/2.98 % (3212496)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2408941749:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 12.76/2.98 % (3212496)Refutation not found, incomplete strategy
% 12.76/2.98 % (3212496)------------------------------
% 12.76/2.98 % (3212496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212496)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212496)Termination reason: Refutation not found, incomplete strategy
% 12.76/2.98 % (3212496)Time elapsed: 0.002 s
% 12.76/2.98 % (3212496)Peak memory usage: 87 MB
% 12.76/2.98 % (3212498)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1909777171:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 12.76/2.98 % (3212502)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=556885087:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 12.76/2.98 % (3212460)First to succeed.
% 12.76/2.98 % (3212460)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3212447"
% 12.76/2.98 % (3212498)Instruction limit reached!
% 12.76/2.98 % (3212498)------------------------------
% 12.76/2.98 % (3212498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212498)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212498)Termination reason: Instruction limit
% 12.76/2.98 % (3212498)Termination phase: Saturation
% 12.76/2.98 % (3212498)Time elapsed: 0.270 s
% 12.76/2.98 % (3212498)Peak memory usage: 90 MB
% 12.76/2.98 % (3212498)Instructions burned: 242 (million)
% 12.76/2.98 % (3212496)------------------------------
% 12.76/2.98 % (3212496)------------------------------
% 12.76/2.98 % (3212506)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2297430606:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 12.76/2.98 % (3212506)Instruction limit reached!
% 12.76/2.98 % (3212506)------------------------------
% 12.76/2.98 % (3212506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.98 % (3212506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.98 % (3212506)CaDiCaL version: 2.1.3
% 12.76/2.98 % (3212506)Termination reason: Instruction limit
% 12.76/2.98 % (3212506)Termination phase: Saturation
% 12.76/2.98 % (3212506)Time elapsed: 0.100 s
% 12.76/2.98 % (3212506)Peak memory usage: 90 MB
% 12.76/2.98 % (3212506)Instructions burned: 134 (million)
% 12.76/2.98 % (3212507)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1447988972:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 12.76/2.98 % (3212460)Refutation found. Thanks to Tanya!
% 12.76/2.98 % SZS status Unsatisfiable for theBenchmark
% 12.76/2.98 % SZS output start Proof for theBenchmark
% See solution above
% 14.48/3.25 % (3212460)------------------------------
% 14.48/3.25 % (3212460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.25 % (3212460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.25 % (3212460)CaDiCaL version: 2.1.3
% 14.48/3.25 % (3212460)Termination reason: Refutation
% 14.48/3.25 % (3212460)Time elapsed: 1.304 s
% 14.48/3.25 % (3212460)Peak memory usage: 132 MB
% 14.48/3.25 % (3212460)Instructions burned: 1238 (million)
% 14.48/3.25 % (3212460)------------------------------
% 14.48/3.25 % (3212460)------------------------------
% 14.48/3.25 % (3212447)Success in time 1.939 s
% 14.48/3.25 % Vampire exiting
%------------------------------------------------------------------------------