%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV234+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:08:27 PM UTC 2026
% Result : Theorem 10.70s 2.17s
% Output : Refutation 11.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 88 ( 40 unt; 3 def)
% Number of atoms : 217 ( 15 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 249 ( 120 ~; 114 |; 8 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn 144 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutative) ).
fof(f2,axiom,
! [X0,X1,X2] : xor(X0,xor(X1,X2)) = xor(xor(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_associative) ).
fof(f3,axiom,
! [X0,X1] : decrypt(X0,crypt(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',encryption_decryption_cancellation) ).
fof(f4,axiom,
! [X0] : xor(X0,id) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_rules_1) ).
fof(f5,axiom,
! [X0] : xor(X0,X0) = id,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_rules_2) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4] :
( ( p(crypt(xor(X0,X1),X2))
& p(X3)
& p(crypt(xor(km,imp),X4)) )
=> p(crypt(xor(km,X3),decrypt(xor(X4,X3),crypt(xor(X0,X1),X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',key_import) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( p(X0)
& p(crypt(xor(km,xor(kp,X1)),X2))
& p(X1) )
=> p(crypt(xor(km,xor(X1,kp)),xor(X0,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',key_part_import___part_2) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( p(X0)
& p(crypt(xor(km,xor(X1,kp)),X2))
& p(X1) )
=> p(crypt(xor(km,X1),xor(X2,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',key_part_import___part_3) ).
fof(f11,axiom,
! [X0,X1] :
( ( p(X0)
& p(crypt(xor(km,data),X1)) )
=> p(crypt(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',encrypt_data) ).
fof(f14,axiom,
! [X0,X1] :
( ( p(X0)
& p(X1) )
=> p(xor(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',combine_with_XOR) ).
fof(f18,axiom,
p(imp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inital_knowledge_of_intruder_2) ).
fof(f19,axiom,
p(data),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inital_knowledge_of_intruder_3) ).
fof(f21,axiom,
p(pin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inital_knowledge_of_intruder_5) ).
fof(f22,axiom,
p(crypt(xor(kek,pin),pp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pin_key_encrypted_for_transfer) ).
fof(f23,axiom,
p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_account_number) ).
fof(f24,axiom,
p(k3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',key_part) ).
fof(f25,axiom,
p(crypt(xor(km,xor(kp,imp)),xor(kek,k3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partially_completed_key) ).
fof(f26,conjecture,
p(crypt(pp,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',find_pin) ).
fof(f27,negated_conjecture,
~ p(crypt(pp,a)),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ p(crypt(pp,a)),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4] :
( p(crypt(xor(km,X3),decrypt(xor(X4,X3),crypt(xor(X0,X1),X2))))
| ~ p(crypt(xor(X0,X1),X2))
| ~ p(X3)
| ~ p(crypt(xor(km,imp),X4)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4] :
( p(crypt(xor(km,X3),decrypt(xor(X4,X3),crypt(xor(X0,X1),X2))))
| ~ p(crypt(xor(X0,X1),X2))
| ~ p(X3)
| ~ p(crypt(xor(km,imp),X4)) ),
inference(flattening,[],[f29]) ).
fof(f35,plain,
! [X0,X1,X2] :
( p(crypt(xor(km,xor(X1,kp)),xor(X0,X2)))
| ~ p(X0)
| ~ p(crypt(xor(km,xor(kp,X1)),X2))
| ~ p(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0,X1,X2] :
( p(crypt(xor(km,xor(X1,kp)),xor(X0,X2)))
| ~ p(X0)
| ~ p(crypt(xor(km,xor(kp,X1)),X2))
| ~ p(X1) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( p(crypt(xor(km,X1),xor(X2,X0)))
| ~ p(X0)
| ~ p(crypt(xor(km,xor(X1,kp)),X2))
| ~ p(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f38,plain,
! [X0,X1,X2] :
( p(crypt(xor(km,X1),xor(X2,X0)))
| ~ p(X0)
| ~ p(crypt(xor(km,xor(X1,kp)),X2))
| ~ p(X1) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( p(crypt(X1,X0))
| ~ p(X0)
| ~ p(crypt(xor(km,data),X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0,X1] :
( p(crypt(X1,X0))
| ~ p(X0)
| ~ p(crypt(xor(km,data),X1)) ),
inference(flattening,[],[f39]) ).
fof(f45,plain,
! [X0,X1] :
( p(xor(X0,X1))
| ~ p(X0)
| ~ p(X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f46,plain,
! [X0,X1] :
( p(xor(X0,X1))
| ~ p(X0)
| ~ p(X1) ),
inference(flattening,[],[f45]) ).
fof(f51,plain,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f52,plain,
! [X2,X0,X1] : xor(X0,xor(X1,X2)) = xor(xor(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f53,plain,
! [X0,X1] : decrypt(X0,crypt(X0,X1)) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f54,plain,
! [X0] : xor(X0,id) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f55,plain,
! [X0] : id = xor(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f56,plain,
! [X2,X3,X0,X1,X4] :
( p(crypt(xor(km,X3),decrypt(xor(X4,X3),crypt(xor(X0,X1),X2))))
| ~ p(crypt(xor(X0,X1),X2))
| ~ p(X3)
| ~ p(crypt(xor(km,imp),X4)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f59,plain,
! [X2,X0,X1] :
( p(crypt(xor(km,xor(X1,kp)),xor(X0,X2)))
| ~ p(X0)
| ~ p(crypt(xor(km,xor(kp,X1)),X2))
| ~ p(X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ p(crypt(xor(km,xor(X1,kp)),X2))
| ~ p(X0)
| p(crypt(xor(km,X1),xor(X2,X0)))
| ~ p(X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f61,plain,
! [X0,X1] :
( ~ p(crypt(xor(km,data),X1))
| ~ p(X0)
| p(crypt(X1,X0)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f64,plain,
! [X0,X1] :
( p(xor(X0,X1))
| ~ p(X0)
| ~ p(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f68,plain,
p(imp),
inference(cnf_transformation,[],[f18]) ).
fof(f69,plain,
p(data),
inference(cnf_transformation,[],[f19]) ).
fof(f71,plain,
p(pin),
inference(cnf_transformation,[],[f21]) ).
fof(f72,plain,
p(crypt(xor(kek,pin),pp)),
inference(cnf_transformation,[],[f22]) ).
fof(f73,plain,
p(a),
inference(cnf_transformation,[],[f23]) ).
fof(f74,plain,
p(k3),
inference(cnf_transformation,[],[f24]) ).
fof(f75,plain,
p(crypt(xor(km,xor(kp,imp)),xor(kek,k3))),
inference(cnf_transformation,[],[f25]) ).
fof(f76,plain,
~ p(crypt(pp,a)),
inference(cnf_transformation,[],[f28]) ).
fof(f77,definition,
sF0 = crypt(pp,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f78,plain,
crypt(pp,a) = sF0,
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
~ p(sF0),
inference(definition_folding,[],[f76,f78]) ).
fof(f100,plain,
! [X2,X3,X0,X1] :
( ~ p(X0)
| ~ p(crypt(xor(km,xor(kp,X1)),X2))
| ~ p(X1)
| ~ p(X3)
| p(crypt(xor(km,X1),xor(xor(X0,X2),X3)))
| ~ p(X1) ),
inference(resolution,[],[f59,f60]) ).
fof(f106,plain,
! [X2,X3,X0,X1] :
( ~ p(X0)
| ~ p(crypt(xor(km,xor(kp,X1)),X2))
| ~ p(X1)
| ~ p(X3)
| p(crypt(xor(km,X1),xor(xor(X0,X2),X3))) ),
inference(duplicate_literal_removal,[],[f100]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( p(crypt(xor(km,X1),xor(X0,xor(X2,X3))))
| ~ p(X0)
| ~ p(crypt(xor(km,xor(kp,X1)),X2))
| ~ p(X1)
| ~ p(X3) ),
inference(forward_demodulation,[],[f106,f52]) ).
fof(f129,plain,
! [X0] : xor(id,X0) = X0,
inference(superposition,[],[f51,f54]) ).
fof(f191,plain,
! [X0,X1] : xor(id,X1) = xor(X0,xor(X0,X1)),
inference(superposition,[],[f52,f55]) ).
fof(f219,plain,
! [X0,X1] : xor(X0,xor(X0,X1)) = X1,
inference(forward_demodulation,[],[f191,f129]) ).
fof(f272,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(X0)
| p(crypt(decrypt(xor(X1,data),crypt(xor(X2,X3),X4)),X0))
| ~ p(crypt(xor(X2,X3),X4))
| ~ p(data)
| ~ p(crypt(xor(km,imp),X1)) ),
inference(resolution,[],[f61,f56]) ).
fof(f274,plain,
! [X2,X3,X0,X1,X4] :
( p(crypt(decrypt(xor(X1,data),crypt(xor(X2,X3),X4)),X0))
| ~ p(X0)
| ~ p(crypt(xor(X2,X3),X4))
| ~ p(crypt(xor(km,imp),X1)) ),
inference(forward_subsumption_resolution,[],[f272,f69]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ p(crypt(xor(km,imp),X1))
| ~ p(X2)
| ~ p(crypt(xor(X1,data),X0))
| p(crypt(X0,X2)) ),
inference(superposition,[],[f274,f53]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(X0)
| ~ p(crypt(xor(xor(X1,xor(X2,X3)),data),X4))
| p(crypt(X4,X0))
| ~ p(X1)
| ~ p(crypt(xor(km,xor(kp,imp)),X2))
| ~ p(imp)
| ~ p(X3) ),
inference(resolution,[],[f286,f107]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(X0)
| ~ p(crypt(xor(xor(X1,xor(X2,X3)),data),X4))
| p(crypt(X4,X0))
| ~ p(X1)
| ~ p(crypt(xor(km,xor(kp,imp)),X2))
| ~ p(X3) ),
inference(forward_subsumption_resolution,[],[f295,f68]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(crypt(xor(data,xor(X1,xor(X2,X3))),X4))
| ~ p(X0)
| p(crypt(X4,X0))
| ~ p(X1)
| ~ p(crypt(xor(km,xor(kp,imp)),X2))
| ~ p(X3) ),
inference(forward_demodulation,[],[f299,f51]) ).
fof(f542,plain,
! [X2,X3,X0,X1] :
( ~ p(crypt(xor(X0,X1),X2))
| ~ p(X3)
| p(crypt(X2,X3))
| ~ p(data)
| ~ p(crypt(xor(km,xor(kp,imp)),X0))
| ~ p(X1) ),
inference(superposition,[],[f301,f219]) ).
fof(f544,plain,
! [X2,X3,X0,X1] :
( ~ p(crypt(xor(km,xor(kp,imp)),X0))
| ~ p(X3)
| p(crypt(X2,X3))
| ~ p(crypt(xor(X0,X1),X2))
| ~ p(X1) ),
inference(forward_subsumption_resolution,[],[f542,f69]) ).
fof(f657,plain,
! [X2,X0,X1] :
( ~ p(X0)
| p(crypt(X1,X0))
| ~ p(crypt(xor(xor(kek,k3),X2),X1))
| ~ p(X2) ),
inference(resolution,[],[f544,f75]) ).
fof(f669,plain,
! [X2,X0,X1] :
( ~ p(crypt(xor(kek,xor(k3,X2)),X1))
| ~ p(X0)
| p(crypt(X1,X0))
| ~ p(X2) ),
inference(forward_demodulation,[],[f657,f52]) ).
fof(f687,plain,
! [X2,X0,X1] :
( ~ p(crypt(xor(kek,X0),X1))
| ~ p(X2)
| p(crypt(X1,X2))
| ~ p(xor(k3,X0)) ),
inference(superposition,[],[f669,f219]) ).
fof(f694,plain,
! [X0] :
( ~ p(X0)
| p(crypt(pp,X0))
| ~ p(xor(k3,pin)) ),
inference(resolution,[],[f687,f72]) ).
fof(f704,plain,
! [X0] :
( ~ p(xor(pin,k3))
| ~ p(X0)
| p(crypt(pp,X0)) ),
inference(forward_demodulation,[],[f694,f51]) ).
fof(f706,definition,
( spl1_46
<=> ! [X0] :
( ~ p(X0)
| p(crypt(pp,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_46])],[avatar_definition]) ).
fof(f707,plain,
( ! [X0] :
( p(crypt(pp,X0))
| ~ p(X0) )
| ~ spl1_46 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f709,definition,
( spl1_47
<=> p(xor(pin,k3)) ),
introduced(definition,[new_symbols(definition,[spl1_47])],[avatar_definition]) ).
fof(f711,plain,
( ~ p(xor(pin,k3))
| spl1_47 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f712,plain,
( spl1_46
| ~ spl1_47 ),
inference(avatar_split_clause,[],[f704,f709,f706]) ).
fof(f714,plain,
( ~ p(pin)
| ~ p(k3)
| spl1_47 ),
inference(resolution,[],[f711,f64]) ).
fof(f715,plain,
( ~ p(k3)
| spl1_47 ),
inference(forward_subsumption_resolution,[],[f714,f71]) ).
fof(f716,plain,
( $false
| spl1_47 ),
inference(forward_subsumption_resolution,[],[f715,f74]) ).
fof(f717,plain,
spl1_47,
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f719,plain,
( p(sF0)
| ~ p(a)
| ~ spl1_46 ),
inference(superposition,[],[f707,f78]) ).
fof(f720,plain,
( ~ p(a)
| ~ spl1_46 ),
inference(forward_subsumption_resolution,[],[f719,f79]) ).
fof(f721,plain,
( $false
| ~ spl1_46 ),
inference(forward_subsumption_resolution,[],[f720,f73]) ).
fof(f722,plain,
~ spl1_46,
inference(avatar_contradiction_clause,[],[f721]) ).
cnf(s45,plain,
( spl1_46
| ~ spl1_47 ),
inference(sat_conversion,[],[f712]) ).
cnf(s46,plain,
spl1_47,
inference(sat_conversion,[],[f717]) ).
cnf(s47,plain,
~ spl1_46,
inference(sat_conversion,[],[f722]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s45,s46,s47]) ).
fof(f723,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV234+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 10:16:57 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 10.70/2.14 % (3750239)Detected formulas, will run a generic FOF schedule.
% 10.70/2.14 % (3750247)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=504007015:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.70/2.14 % (3750247)Refutation not found, incomplete strategy
% 10.70/2.14 % (3750247)------------------------------
% 10.70/2.14 % (3750247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.14 % (3750247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.14 % (3750247)CaDiCaL version: 2.1.3
% 10.70/2.14 % (3750247)Termination reason: Refutation not found, incomplete strategy
% 10.70/2.14 % (3750247)Time elapsed: 0.001 s
% 10.70/2.14 % (3750247)Peak memory usage: 88 MB
% 10.70/2.14 % (3750249)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1321116687:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.70/2.14 % (3750244)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=2550272730:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.70/2.14 % (3750246)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1482073379:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.70/2.14 % (3750245)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1054149670:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.70/2.14 % (3750250)dis-21_1_sil=8000:lcm=predicate:random_seed=22488632:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.70/2.14 % (3750248)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2798341853:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.70/2.14 % (3750248)Instruction limit reached!
% 10.70/2.14 % (3750248)------------------------------
% 10.70/2.14 % (3750248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.14 % (3750248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.14 % (3750248)CaDiCaL version: 2.1.3
% 10.70/2.14 % (3750248)Termination reason: Instruction limit
% 10.70/2.14 % (3750248)Termination phase: Saturation
% 10.70/2.14 % (3750248)Time elapsed: 0.060 s
% 10.70/2.14 % (3750248)Peak memory usage: 88 MB
% 10.70/2.14 % (3750248)Instructions burned: 119 (million)
% 10.70/2.14 % (3750250)Instruction limit reached!
% 10.70/2.14 % (3750250)------------------------------
% 10.70/2.14 % (3750250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.14 % (3750250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.14 % (3750250)CaDiCaL version: 2.1.3
% 10.70/2.14 % (3750250)Termination reason: Instruction limit
% 10.70/2.14 % (3750250)Termination phase: Saturation
% 10.70/2.14 % (3750250)Time elapsed: 0.073 s
% 10.70/2.14 % (3750250)Peak memory usage: 89 MB
% 10.70/2.14 % (3750250)Instructions burned: 130 (million)
% 10.70/2.14 % (3750249)Instruction limit reached!
% 10.70/2.14 % (3750249)------------------------------
% 10.70/2.14 % (3750249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.14 % (3750249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.14 % (3750249)CaDiCaL version: 2.1.3
% 10.70/2.14 % (3750249)Termination reason: Instruction limit
% 10.70/2.14 % (3750249)Termination phase: Saturation
% 10.70/2.14 % (3750249)Time elapsed: 0.087 s
% 10.70/2.14 % (3750249)Peak memory usage: 89 MB
% 10.70/2.14 % (3750249)Instructions burned: 139 (million)
% 10.70/2.14 % (3750247)------------------------------
% 10.70/2.14 % (3750247)------------------------------
% 10.70/2.14 % (3750258)lrs+10_1_sil=8000:sp=occurrence:random_seed=2299467251:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.70/2.14 % (3750259)lrs+10_1_sil=32000:urr=on:br=off:random_seed=447250397:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.70/2.14 % (3750261)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3559217478:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.70/2.14 % (3750260)lrs+1011_1_sil=32000:sp=occurrence:random_seed=713764782:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.70/2.17 % (3750261)Instruction limit reached!
% 10.70/2.17 % (3750261)------------------------------
% 10.70/2.17 % (3750261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750261)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750261)Termination reason: Instruction limit
% 10.70/2.17 % (3750261)Termination phase: Saturation
% 10.70/2.17 % (3750261)Time elapsed: 0.069 s
% 10.70/2.17 % (3750261)Peak memory usage: 94 MB
% 10.70/2.17 % (3750261)Instructions burned: 250 (million)
% 10.70/2.17 % (3750259)Instruction limit reached!
% 10.70/2.17 % (3750259)------------------------------
% 10.70/2.17 % (3750259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750259)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750259)Termination reason: Instruction limit
% 10.70/2.17 % (3750259)Termination phase: Saturation
% 10.70/2.17 % (3750259)Time elapsed: 0.081 s
% 10.70/2.17 % (3750259)Peak memory usage: 91 MB
% 10.70/2.17 % (3750259)Instructions burned: 159 (million)
% 10.70/2.17 % (3750258)Instruction limit reached!
% 10.70/2.17 % (3750258)------------------------------
% 10.70/2.17 % (3750258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750258)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750258)Termination reason: Instruction limit
% 10.70/2.17 % (3750258)Termination phase: Saturation
% 10.70/2.17 % (3750258)Time elapsed: 0.145 s
% 10.70/2.17 % (3750258)Peak memory usage: 91 MB
% 10.70/2.17 % (3750258)Instructions burned: 287 (million)
% 10.70/2.17 % (3750266)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3533164943:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.70/2.17 % (3750266)Refutation not found, incomplete strategy
% 10.70/2.17 % (3750266)------------------------------
% 10.70/2.17 % (3750266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750266)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750266)Termination reason: Refutation not found, incomplete strategy
% 10.70/2.17 % (3750266)Time elapsed: 0.001 s
% 10.70/2.17 % (3750266)Peak memory usage: 88 MB
% 10.70/2.17 % (3750266)Instructions burned: 1 (million)
% 10.70/2.17 % (3750267)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1778519319:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.70/2.17 % (3750260)Instruction limit reached!
% 10.70/2.17 % (3750260)------------------------------
% 10.70/2.17 % (3750260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750260)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750260)Termination reason: Instruction limit
% 10.70/2.17 % (3750260)Termination phase: Saturation
% 10.70/2.17 % (3750260)Time elapsed: 0.185 s
% 10.70/2.17 % (3750260)Peak memory usage: 93 MB
% 10.70/2.17 % (3750260)Instructions burned: 326 (million)
% 10.70/2.17 % (3750268)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1336908891:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 10.70/2.17 % (3750266)------------------------------
% 10.70/2.17 % (3750266)------------------------------
% 10.70/2.17 % (3750271)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2578560136:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.70/2.17 % (3750268)Instruction limit reached!
% 10.70/2.17 % (3750268)------------------------------
% 10.70/2.17 % (3750268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750268)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750268)Termination reason: Instruction limit
% 10.70/2.17 % (3750268)Termination phase: Saturation
% 10.70/2.17 % (3750268)Time elapsed: 0.074 s
% 10.70/2.17 % (3750268)Peak memory usage: 89 MB
% 10.70/2.17 % (3750268)Instructions burned: 114 (million)
% 10.70/2.17 % (3750271)Instruction limit reached!
% 10.70/2.17 % (3750271)------------------------------
% 10.70/2.17 % (3750271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750271)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750271)Termination reason: Instruction limit
% 10.70/2.17 % (3750271)Termination phase: Saturation
% 10.70/2.17 % (3750271)Time elapsed: 0.067 s
% 10.70/2.17 % (3750271)Peak memory usage: 88 MB
% 10.70/2.17 % (3750271)Instructions burned: 129 (million)
% 10.70/2.17 % (3750273)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3231923913:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.70/2.17 % (3750273)Instruction limit reached!
% 10.70/2.17 % (3750273)------------------------------
% 10.70/2.17 % (3750273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750273)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750273)Termination reason: Instruction limit
% 10.70/2.17 % (3750273)Termination phase: Saturation
% 10.70/2.17 % (3750273)Time elapsed: 0.028 s
% 10.70/2.17 % (3750273)Peak memory usage: 90 MB
% 10.70/2.17 % (3750273)Instructions burned: 118 (million)
% 10.70/2.17 % (3750275)lrs+10_1_sil=8000:sp=occurrence:random_seed=1713564345:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 10.70/2.17 % (3750276)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4013219733:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.70/2.17 % (3750278)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=177612423:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 10.70/2.17 % (3750276)Refutation not found, incomplete strategy
% 10.70/2.17 % (3750276)------------------------------
% 10.70/2.17 % (3750276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750276)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750276)Termination reason: Refutation not found, incomplete strategy
% 10.70/2.17 % (3750276)Time elapsed: 0.002 s
% 10.70/2.17 % (3750276)Peak memory usage: 88 MB
% 10.70/2.17 % (3750276)Instructions burned: 1 (million)
% 10.70/2.17 % (3750276)------------------------------
% 10.70/2.17 % (3750276)------------------------------
% 10.70/2.17 % (3750282)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=767463950:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.70/2.17 % (3750267)First to succeed.
% 10.70/2.17 % (3750267)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3750239"
% 10.70/2.17 % (3750282)Instruction limit reached!
% 10.70/2.17 % (3750282)------------------------------
% 10.70/2.17 % (3750282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750282)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750282)Termination reason: Instruction limit
% 10.70/2.17 % (3750282)Termination phase: Saturation
% 10.70/2.17 % (3750282)Time elapsed: 0.070 s
% 10.70/2.17 % (3750282)Peak memory usage: 92 MB
% 10.70/2.17 % (3750282)Instructions burned: 135 (million)
% 10.70/2.17 % (3750275)Instruction limit reached!
% 10.70/2.17 % (3750275)------------------------------
% 10.70/2.17 % (3750275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750275)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750275)Termination reason: Instruction limit
% 10.70/2.17 % (3750275)Termination phase: Saturation
% 10.70/2.17 % (3750275)Time elapsed: 0.506 s
% 10.70/2.17 % (3750275)Peak memory usage: 93 MB
% 10.70/2.17 % (3750275)Instructions burned: 917 (million)
% 10.70/2.17 % (3750244)Also succeeded, but the first one will report.
% 10.70/2.17 % (3750284)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1455386090:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.70/2.17 % (3750284)Refutation not found, incomplete strategy
% 10.70/2.17 % (3750284)------------------------------
% 10.70/2.17 % (3750284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.17 % (3750284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.17 % (3750284)CaDiCaL version: 2.1.3
% 10.70/2.17 % (3750284)Termination reason: Refutation not found, incomplete strategy
% 10.70/2.17 % (3750284)Time elapsed: 0.002 s
% 10.70/2.17 % (3750284)Peak memory usage: 88 MB
% 10.70/2.17 % (3750284)Instructions burned: 1 (million)
% 10.70/2.17 % (3750285)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=163717236:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 10.70/2.17 % (3750267)Refutation found. Thanks to Tanya!
% 10.70/2.17 % SZS status Theorem for theBenchmark
% 10.70/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 11.25/2.36 % (3750267)------------------------------
% 11.25/2.36 % (3750267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.36 % (3750267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.36 % (3750267)CaDiCaL version: 2.1.3
% 11.25/2.36 % (3750267)Termination reason: Refutation
% 11.25/2.36 % (3750267)Time elapsed: 0.693 s
% 11.25/2.36 % (3750267)Peak memory usage: 130 MB
% 11.25/2.36 % (3750267)Instructions burned: 1025 (million)
% 11.25/2.36 % (3750267)------------------------------
% 11.25/2.36 % (3750267)------------------------------
% 11.25/2.36 % (3750239)Success in time 1.508 s
% 11.25/2.36 % Vampire exiting
%------------------------------------------------------------------------------