%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL309-3 : 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 : 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 11:51:56 AM UTC 2026
% Result : Unsatisfiable 22.51s 4.38s
% Output : Refutation 22.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 76 ( 33 unt; 2 def)
% Number of atoms : 131 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 111 ( 56 ~; 53 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn 130 !; 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(or(implies(p,q),implies(p,r)),implies(p,or(q,r)))),
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,
~ theorem(not(or(not(or(not(or(or(not(p),q),or(not(p),r))),or(not(p),or(q,r)))),not(or(not(or(not(p),or(q,r))),or(or(not(p),q),or(not(p),r))))))),
inference(definition_unfolding,[],[f11,f12,f6,f6,f6]) ).
fof(f14,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(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f16,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f17,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f18,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f19,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f20,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f15,f7]) ).
fof(f21,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f14,f7]) ).
fof(f22,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f16,f7]) ).
fof(f23,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f17,f7]) ).
fof(f24,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f18,f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f19,f22]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f19,f20]) ).
fof(f27,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f19,f21]) ).
fof(f28,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f26,f22]) ).
fof(f30,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f26,f21]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f27,f19]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f33,f22]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f33,f20]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f33,f27]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f33,f30]) ).
fof(f48,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f33,f24]) ).
fof(f55,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f41,f23]) ).
fof(f57,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f55,f33]) ).
fof(f60,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(resolution,[],[f55,f26]) ).
fof(f87,plain,
! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ),
inference(resolution,[],[f28,f19]) ).
fof(f91,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f43,f22]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(resolution,[],[f43,f21]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,X3)),X2))
| ~ theorem(or(not(X3),X1)) ),
inference(resolution,[],[f95,f19]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,or(X0,X3))))
| ~ theorem(or(not(X1),or(X2,X3))) ),
inference(resolution,[],[f103,f20]) ).
fof(f128,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f91,f48]) ).
fof(f132,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f128,f103]) ).
fof(f174,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1)))),
inference(resolution,[],[f42,f23]) ).
fof(f175,plain,
! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2)))),
inference(resolution,[],[f42,f55]) ).
fof(f207,plain,
! [X0,X1] :
( theorem(or(X1,not(or(X1,not(X0)))))
| ~ theorem(X0) ),
inference(resolution,[],[f87,f25]) ).
fof(f209,plain,
! [X0,X1] :
( theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f207,f19]) ).
fof(f212,plain,
( ~ theorem(or(not(or(not(p),or(q,r))),or(or(not(p),q),or(not(p),r))))
| ~ theorem(or(not(or(or(not(p),q),or(not(p),r))),or(not(p),or(q,r)))) ),
inference(resolution,[],[f209,f13]) ).
fof(f214,definition,
( spl0_1
<=> theorem(or(not(or(or(not(p),q),or(not(p),r))),or(not(p),or(q,r)))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f216,plain,
( ~ theorem(or(not(or(or(not(p),q),or(not(p),r))),or(not(p),or(q,r))))
| spl0_1 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f218,definition,
( spl0_2
<=> theorem(or(not(or(not(p),or(q,r))),or(or(not(p),q),or(not(p),r)))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f220,plain,
( ~ theorem(or(not(or(not(p),or(q,r))),or(or(not(p),q),or(not(p),r))))
| spl0_2 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f212,f218,f214]) ).
fof(f425,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(not(or(not(X2),X3)),or(X1,X3)))
| ~ theorem(X0) ),
inference(resolution,[],[f44,f19]) ).
fof(f435,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f425,f22]) ).
fof(f721,plain,
! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f435,f48]) ).
fof(f730,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X2)),X1))
| ~ theorem(or(X0,X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f721,f103]) ).
fof(f883,plain,
( ~ theorem(or(not(or(not(p),q)),or(not(p),or(q,r))))
| ~ theorem(or(not(or(not(p),r)),or(not(p),or(q,r))))
| spl0_1 ),
inference(resolution,[],[f132,f216]) ).
fof(f907,plain,
( ~ theorem(or(not(or(not(p),q)),or(not(p),or(q,r))))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f883,f174]) ).
fof(f910,plain,
( ~ theorem(or(p,or(not(p),or(q,r))))
| ~ theorem(or(not(q),or(not(p),or(q,r))))
| spl0_1 ),
inference(resolution,[],[f907,f730]) ).
fof(f917,plain,
( ~ theorem(or(not(q),or(not(p),or(q,r))))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f910,f60]) ).
fof(f922,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f917,f175]) ).
fof(f923,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f970,plain,
( ~ theorem(or(not(or(q,r)),or(or(not(p),q),r)))
| spl0_2 ),
inference(resolution,[],[f220,f110]) ).
fof(f1026,plain,
( ~ theorem(or(not(q),or(or(not(p),q),r)))
| ~ theorem(or(not(r),or(or(not(p),q),r)))
| spl0_2 ),
inference(resolution,[],[f970,f132]) ).
fof(f1029,plain,
( ~ theorem(or(not(q),or(or(not(p),q),r)))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1026,f23]) ).
fof(f1128,plain,
( ~ theorem(or(not(q),or(not(p),q)))
| spl0_2 ),
inference(resolution,[],[f1029,f57]) ).
fof(f1129,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1128,f23]) ).
fof(f1130,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1129]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f221]) ).
cnf(s26,plain,
spl0_1,
inference(sat_conversion,[],[f923]) ).
cnf(s50,plain,
spl0_2,
inference(sat_conversion,[],[f1130]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s1,s50,s26]) ).
fof(f1131,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL309-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n013.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 15:33:51 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.51 Running first-order theorem proving
% 0.24/0.51 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
% 21.56/4.12 % (359920)Input is clausal, will run a generic CNF schedule.
% 21.56/4.12 % (359929)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2386550252:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 21.56/4.12 % (359930)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1093228870:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 21.56/4.12 % (359926)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4016554933:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 21.56/4.12 % (359928)lrs+10_1_sil=8000:sp=occurrence:random_seed=2221147732:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 21.56/4.12 % (359925)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=3167055009:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 21.56/4.12 % (359927)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2206972025:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 21.56/4.12 % (359931)dis-21_1_sil=8000:lcm=predicate:random_seed=3820105426: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)
% 21.56/4.12 % (359931)Instruction limit reached!
% 21.56/4.12 % (359931)------------------------------
% 21.56/4.12 % (359931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.56/4.12 % (359931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.56/4.12 % (359931)CaDiCaL version: 2.1.3
% 21.56/4.12 % (359931)Termination reason: Instruction limit
% 21.56/4.12 % (359931)Termination phase: Saturation
% 21.56/4.12 % (359931)Time elapsed: 0.047 s
% 21.56/4.12 % (359931)Peak memory usage: 88 MB
% 21.56/4.12 % (359931)Instructions burned: 117 (million)
% 21.56/4.12 % (359929)Instruction limit reached!
% 21.56/4.12 % (359929)------------------------------
% 21.56/4.12 % (359929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.56/4.12 % (359929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.56/4.12 % (359929)CaDiCaL version: 2.1.3
% 21.56/4.12 % (359929)Termination reason: Instruction limit
% 21.56/4.12 % (359929)Termination phase: Saturation
% 21.56/4.12 % (359929)Time elapsed: 0.110 s
% 21.56/4.12 % (359929)Peak memory usage: 88 MB
% 21.56/4.12 % (359929)Instructions burned: 115 (million)
% 21.56/4.12 % (359928)Instruction limit reached!
% 21.56/4.12 % (359928)------------------------------
% 21.56/4.12 % (359928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.56/4.12 % (359928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.56/4.12 % (359928)CaDiCaL version: 2.1.3
% 21.56/4.12 % (359928)Termination reason: Instruction limit
% 21.56/4.12 % (359928)Termination phase: Saturation
% 21.56/4.12 % (359928)Time elapsed: 0.113 s
% 21.56/4.12 % (359928)Peak memory usage: 89 MB
% 21.56/4.12 % (359928)Instructions burned: 107 (million)
% 21.56/4.12 % (359930)Instruction limit reached!
% 21.56/4.12 % (359930)------------------------------
% 21.56/4.12 % (359930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.56/4.12 % (359930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.56/4.12 % (359930)CaDiCaL version: 2.1.3
% 21.56/4.12 % (359930)Termination reason: Instruction limit
% 21.56/4.12 % (359930)Termination phase: Saturation
% 21.56/4.12 % (359930)Time elapsed: 0.173 s
% 21.56/4.12 % (359930)Peak memory usage: 89 MB
% 21.56/4.12 % (359930)Instructions burned: 180 (million)
% 21.56/4.12 % (359939)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=4131277943:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 21.56/4.12 % (359939)Refutation not found, incomplete strategy
% 21.56/4.12 % (359939)------------------------------
% 21.56/4.12 % (359939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.56/4.12 % (359939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.56/4.12 % (359939)CaDiCaL version: 2.1.3
% 21.56/4.12 % (359939)Termination reason: Refutation not found, incomplete strategy
% 21.56/4.12 % (359939)Time elapsed: 0.002 s
% 21.56/4.12 % (359939)Peak memory usage: 88 MB
% 21.56/4.12 % (359940)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2845374465: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)
% 10.94/4.19 % (359940)Refutation not found, incomplete strategy
% 10.94/4.19 % (359940)------------------------------
% 10.94/4.19 % (359940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/4.19 % (359940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/4.19 % (359940)CaDiCaL version: 2.1.3
% 10.94/4.19 % (359940)Termination reason: Refutation not found, incomplete strategy
% 10.94/4.19 % (359940)Time elapsed: 0.002 s
% 10.94/4.19 % (359940)Peak memory usage: 87 MB
% 10.94/4.19 % (359941)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1847205643:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 10.94/4.19 % (359941)Refutation not found, incomplete strategy
% 10.94/4.19 % (359941)------------------------------
% 10.94/4.19 % (359941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/4.19 % (359941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/4.19 % (359941)CaDiCaL version: 2.1.3
% 10.94/4.19 % (359941)Termination reason: Refutation not found, incomplete strategy
% 10.94/4.19 % (359941)Time elapsed: 0.003 s
% 10.94/4.19 % (359941)Peak memory usage: 88 MB
% 10.94/4.19 % (359941)Instructions burned: 1 (million)
% 10.94/4.19 % (359942)lrs+10_64_to=lpo:sil=8000:random_seed=753895618:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 10.94/4.19 % (359942)Instruction limit reached!
% 10.94/4.19 % (359942)------------------------------
% 10.94/4.19 % (359942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/4.19 % (359942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/4.19 % (359942)CaDiCaL version: 2.1.3
% 10.94/4.19 % (359942)Termination reason: Instruction limit
% 10.94/4.19 % (359942)Termination phase: Saturation
% 10.94/4.19 % (359942)Time elapsed: 0.115 s
% 10.94/4.19 % (359942)Peak memory usage: 89 MB
% 10.94/4.19 % (359942)Instructions burned: 126 (million)
% 10.94/4.19 % (359939)------------------------------
% 10.94/4.19 % (359939)------------------------------
% 10.94/4.19 % (359940)------------------------------
% 10.94/4.19 % (359940)------------------------------
% 10.94/4.19 % (359941)------------------------------
% 10.94/4.19 % (359941)------------------------------
% 10.94/4.19 % (359947)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1005505151:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 10.94/4.19 % (359948)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1286661047:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 10.94/4.19 % (359947)Instruction limit reached!
% 10.94/4.19 % (359947)------------------------------
% 10.94/4.19 % (359947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/4.19 % (359947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/4.19 % (359947)CaDiCaL version: 2.1.3
% 10.94/4.19 % (359947)Termination reason: Instruction limit
% 10.94/4.19 % (359947)Termination phase: Saturation
% 10.94/4.19 % (359947)Time elapsed: 0.195 s
% 10.94/4.19 % (359947)Peak memory usage: 90 MB
% 10.94/4.19 % (359947)Instructions burned: 194 (million)
% 10.94/4.19 % (359949)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1686117071:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 10.94/4.19 % (359948)Instruction limit reached!
% 10.94/4.19 % (359948)------------------------------
% 10.94/4.19 % (359948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/4.19 % (359948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/4.19 % (359948)CaDiCaL version: 2.1.3
% 10.94/4.19 % (359948)Termination reason: Instruction limit
% 10.94/4.19 % (359948)Termination phase: Saturation
% 10.94/4.19 % (359948)Time elapsed: 0.165 s
% 10.94/4.19 % (359948)Peak memory usage: 91 MB
% 10.94/4.19 % (359948)Instructions burned: 157 (million)
% 10.94/4.19 % (359950)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=3256529257:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 10.94/4.19 % (359950)Instruction limit reached!
% 10.94/4.19 % (359950)------------------------------
% 10.94/4.19 % (359950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/4.19 % (359950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/4.19 % (359950)CaDiCaL version: 2.1.3
% 10.94/4.19 % (359950)Termination reason: Instruction limit
% 10.94/4.19 % (359950)Termination phase: Saturation
% 10.94/4.19 % (359950)Time elapsed: 0.092 s
% 10.94/4.19 % (359950)Peak memory usage: 89 MB
% 10.94/4.19 % (359950)Instructions burned: 107 (million)
% 10.94/4.19 % (359953)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3224841136:i=107_2986 on theBenchmark for (2986ds/107Mi)
% 10.94/4.19 % (359953)Refutation not found, incomplete strategy
% 10.94/4.19 % (359953)------------------------------
% 10.94/4.19 % (359953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/4.19 % (359953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/4.19 % (359953)CaDiCaL version: 2.1.3
% 10.94/4.19 % (359953)Termination reason: Refutation not found, incomplete strategy
% 10.94/4.19 % (359953)Time elapsed: 0.002 s
% 10.94/4.19 % (359953)Peak memory usage: 87 MB
% 10.94/4.19 % (359956)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1460984866:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 10.94/4.19 % (359957)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3826347672:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 10.94/4.19 % (359956)Instruction limit reached!
% 10.94/4.19 % (359956)------------------------------
% 10.94/4.19 % (359956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/4.19 % (359956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/4.19 % (359956)CaDiCaL version: 2.1.3
% 10.94/4.19 % (359956)Termination reason: Instruction limit
% 10.94/4.19 % (359956)Termination phase: Saturation
% 10.94/4.19 % (359956)Time elapsed: 0.248 s
% 10.94/4.19 % (359956)Peak memory usage: 90 MB
% 10.94/4.19 % (359956)Instructions burned: 243 (million)
% 10.94/4.19 % (359953)------------------------------
% 10.94/4.19 % (359953)------------------------------
% 10.94/4.19 % (359961)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3841045973:i=134:sd=2:doe=on:ss=axioms:sgt=14_2980 on theBenchmark for (2980ds/134Mi)
% 10.94/4.19 % (359962)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=548887451:i=499:bd=all_2979 on theBenchmark for (2979ds/499Mi)
% 10.94/4.19 % (359961)Instruction limit reached!
% 10.94/4.19 % (359961)------------------------------
% 10.94/4.19 % (359961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/4.19 % (359961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/4.19 % (359961)CaDiCaL version: 2.1.3
% 10.94/4.19 % (359961)Termination reason: Instruction limit
% 10.94/4.19 % (359961)Termination phase: Saturation
% 10.94/4.19 % (359961)Time elapsed: 0.134 s
% 10.94/4.19 % (359961)Peak memory usage: 90 MB
% 10.94/4.19 % (359961)Instructions burned: 134 (million)
% 10.94/4.19 % (359965)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3241438484:i=191:fgj=on:bd=all_2976 on theBenchmark for (2976ds/191Mi)
% 10.94/4.19 % (359949)First to succeed.
% 10.94/4.19 % (359949)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-359920"
% 10.94/4.19 % (359962)Instruction limit reached!
% 10.94/4.19 % (359962)------------------------------
% 10.94/4.19 % (359962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/4.19 % (359962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/4.19 % (359962)CaDiCaL version: 2.1.3
% 10.94/4.19 % (359962)Termination reason: Instruction limit
% 10.94/4.19 % (359962)Termination phase: Saturation
% 10.94/4.19 % (359962)Time elapsed: 0.463 s
% 10.94/4.19 % (359962)Peak memory usage: 93 MB
% 10.94/4.19 % (359962)Instructions burned: 500 (million)
% 10.94/4.19 % (359965)Instruction limit reached!
% 10.94/4.19 % (359965)------------------------------
% 10.94/4.19 % (359965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/4.19 % (359965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/4.19 % (359965)CaDiCaL version: 2.1.3
% 10.94/4.19 % (359965)Termination reason: Instruction limit
% 10.94/4.19 % (359965)Termination phase: Saturation
% 10.94/4.19 % (359965)Time elapsed: 0.209 s
% 10.94/4.19 % (359965)Peak memory usage: 93 MB
% 10.94/4.19 % (359965)Instructions burned: 191 (million)
% 10.94/4.19 % (359967)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=742840112:i=264:kws=precedence:fsr=off_2972 on theBenchmark for (2972ds/264Mi)
% 22.51/4.38 % (359949)Refutation found. Thanks to Tanya!
% 22.51/4.38 % SZS status Unsatisfiable for theBenchmark
% 22.51/4.38 % SZS output start Proof for theBenchmark
% See solution above
% 22.51/4.38 % (359949)------------------------------
% 22.51/4.38 % (359949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (359949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (359949)CaDiCaL version: 2.1.3
% 22.51/4.38 % (359949)Termination reason: Refutation
% 22.51/4.38 % (359949)Time elapsed: 1.304 s
% 22.51/4.38 % (359949)Peak memory usage: 132 MB
% 22.51/4.38 % (359949)Instructions burned: 1263 (million)
% 22.51/4.38 % (359949)------------------------------
% 22.51/4.38 % (359949)------------------------------
% 22.51/4.38 % (359920)Success in time 3.097 s
% 22.51/4.38 % Vampire exiting
%------------------------------------------------------------------------------