%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE169+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 11:41:02 AM UTC 2026
% Result : Theorem 45.22s 9.31s
% Output : Refutation 45.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 70 ( 63 unt; 6 def)
% Number of atoms : 79 ( 50 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 7 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(f17,axiom,
sigma = addition(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an) ).
fof(f18,conjecture,
leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a) ).
fof(f19,negated_conjecture,
~ leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
~ leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))),
inference(flattening,[],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f36,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f41,plain,
sigma = addition(a,b),
inference(cnf_transformation,[],[f17]) ).
fof(f42,plain,
~ leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))),
inference(cnf_transformation,[],[f20]) ).
fof(f43,definition,
sF0 = multiplication(b,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f44,plain,
multiplication(b,a) = sF0,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF1 = multiplication(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f46,plain,
multiplication(a,sF0) = sF1,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF2 = star(sigma),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f48,plain,
star(sigma) = sF2,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF3 = multiplication(sigma,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f50,plain,
multiplication(sigma,a) = sF3,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF4 = multiplication(a,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f52,plain,
multiplication(a,sF3) = sF4,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF5 = multiplication(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f54,plain,
multiplication(sF2,sF4) = sF5,
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
~ leq(sF1,sF5),
inference(definition_folding,[],[f42,f54,f52,f50,f48,f46,f44]) ).
fof(f73,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f37,f35]) ).
fof(f78,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f73,f24]) ).
fof(f88,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f25,f27]) ).
fof(f93,plain,
! [X0] : addition(a,addition(b,X0)) = addition(sigma,X0),
inference(superposition,[],[f25,f41]) ).
fof(f102,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f24,f25]) ).
fof(f133,plain,
! [X0] : multiplication(a,addition(sF0,X0)) = addition(sF1,multiplication(a,X0)),
inference(superposition,[],[f31,f46]) ).
fof(f183,plain,
! [X0] : multiplication(addition(sigma,X0),a) = addition(sF3,multiplication(X0,a)),
inference(superposition,[],[f32,f50]) ).
fof(f205,plain,
! [X2,X0,X1] :
( multiplication(X1,X2) != multiplication(addition(X0,X1),X2)
| leq(multiplication(X0,X2),multiplication(X1,X2)) ),
inference(superposition,[],[f36,f32]) ).
fof(f303,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f36,f88]) ).
fof(f307,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f303]) ).
fof(f319,plain,
addition(a,b) = addition(sigma,b),
inference(superposition,[],[f93,f27]) ).
fof(f331,plain,
sigma = addition(sigma,b),
inference(forward_demodulation,[],[f319,f41]) ).
fof(f784,plain,
! [X2,X0,X1] : leq(X1,addition(X0,addition(X1,X2))),
inference(superposition,[],[f307,f102]) ).
fof(f1027,plain,
! [X0] : leq(sF1,multiplication(a,addition(sF0,X0))),
inference(superposition,[],[f307,f133]) ).
fof(f1637,plain,
addition(sF3,sF0) = multiplication(addition(sigma,b),a),
inference(superposition,[],[f183,f44]) ).
fof(f1668,plain,
multiplication(sigma,a) = addition(sF3,sF0),
inference(forward_demodulation,[],[f1637,f331]) ).
fof(f1673,plain,
multiplication(sigma,a) = addition(sF0,sF3),
inference(forward_demodulation,[],[f1668,f24]) ).
fof(f1677,plain,
sF3 = addition(sF0,sF3),
inference(forward_demodulation,[],[f1673,f50]) ).
fof(f2124,plain,
leq(sF1,multiplication(a,sF3)),
inference(superposition,[],[f1027,f1677]) ).
fof(f2140,plain,
leq(sF1,sF4),
inference(forward_demodulation,[],[f2124,f52]) ).
fof(f2196,plain,
sF4 = addition(sF1,sF4),
inference(resolution,[],[f2140,f35]) ).
fof(f2347,plain,
! [X0] : leq(sF1,addition(X0,sF4)),
inference(superposition,[],[f784,f2196]) ).
fof(f2360,plain,
! [X0] : leq(sF1,addition(sF4,X0)),
inference(superposition,[],[f2347,f24]) ).
fof(f2860,plain,
! [X0] : leq(one,star(X0)),
inference(superposition,[],[f784,f78]) ).
fof(f2936,plain,
leq(one,sF2),
inference(superposition,[],[f2860,f48]) ).
fof(f3018,plain,
sF2 = addition(one,sF2),
inference(resolution,[],[f2936,f35]) ).
fof(f4216,plain,
! [X0] :
( multiplication(sF2,X0) != multiplication(sF2,X0)
| leq(multiplication(one,X0),multiplication(sF2,X0)) ),
inference(superposition,[],[f205,f3018]) ).
fof(f4250,plain,
! [X0] : leq(multiplication(one,X0),multiplication(sF2,X0)),
inference(trivial_inequality_removal,[],[f4216]) ).
fof(f4278,plain,
! [X0] : leq(X0,multiplication(sF2,X0)),
inference(forward_demodulation,[],[f4250,f30]) ).
fof(f4365,plain,
leq(sF4,sF5),
inference(superposition,[],[f4278,f54]) ).
fof(f4564,plain,
sF5 = addition(sF4,sF5),
inference(resolution,[],[f4365,f35]) ).
fof(f4775,plain,
leq(sF1,sF5),
inference(superposition,[],[f2360,f4564]) ).
fof(f4802,plain,
$false,
inference(forward_subsumption_resolution,[],[f4775,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE169+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.49 % Computer : n010.cluster.edu
% 0.22/0.49 % Model : x86_64 x86_64
% 0.22/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.49 % Memory : 8046.5625MB
% 0.22/0.49 % OS : Linux 6.8.0-71-generic
% 0.22/0.49 % CPULimit : 300
% 0.22/0.49 % WCLimit : 300
% 0.22/0.49 % DateTime : Sun Sep 27 13:14:31 UTC 2026
% 0.22/0.50 % CPUTime :
% 0.22/0.50 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.55 Running first-order model finding
% 0.26/0.55 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.85/7.32 % (958914)Will run a generic schedule for satisfiability detection.
% 47.85/7.32 % (958924)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1084200684:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 47.85/7.32 % (958920)% WARNING: option uhcvi not known.
% 47.85/7.32 % (958920)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1300051948:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 47.85/7.32 % (958919)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3426881677_2999 on theBenchmark for (2999ds/0Mi)
% 47.85/7.32 % (958922)dis+10_1_sil=32000:sp=arity:random_seed=2574450658:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 47.85/7.32 % (958925)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3623825099:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 47.85/7.32 % (958921)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3263240218:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 47.85/7.32 % (958923)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2724159836:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 47.85/7.32 % TRYING [1]
% 47.85/7.32 % TRYING [2]
% 47.85/7.32 % TRYING [3]
% 47.85/7.32 % TRYING [4]
% 47.85/7.32 % (958924)Instruction limit reached!
% 47.85/7.32 % (958924)------------------------------
% 47.85/7.32 % (958924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.85/7.32 % (958924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.85/7.32 % (958924)CaDiCaL version: 2.1.3
% 47.85/7.32 % (958924)Termination reason: Instruction limit
% 47.85/7.32 % (958924)Termination phase: Saturation
% 47.85/7.32 % (958924)Time elapsed: 0.062 s
% 47.85/7.32 % (958924)Peak memory usage: 13 MB
% 47.85/7.32 % (958924)Instructions burned: 132 (million)
% 47.85/7.32 % TRYING [5]
% 47.85/7.32 % (958933)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3104818988:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 47.85/7.32 % TRYING [1]
% 47.85/7.32 % TRYING [2]
% 47.85/7.32 % (958922)Instruction limit reached!
% 47.85/7.32 % (958922)------------------------------
% 47.85/7.32 % (958922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.85/7.32 % (958922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.85/7.32 % (958922)CaDiCaL version: 2.1.3
% 47.85/7.32 % (958922)Termination reason: Instruction limit
% 47.85/7.32 % (958922)Termination phase: Saturation
% 47.85/7.32 % (958922)Time elapsed: 0.104 s
% 47.85/7.32 % (958922)Peak memory usage: 12 MB
% 47.85/7.32 % (958922)Instructions burned: 104 (million)
% 47.85/7.32 % TRYING [3]
% 47.85/7.32 % TRYING [4]
% 47.85/7.32 % (958923)Instruction limit reached!
% 47.85/7.32 % (958923)------------------------------
% 47.85/7.32 % (958923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.85/7.32 % (958923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.85/7.32 % (958923)CaDiCaL version: 2.1.3
% 47.85/7.32 % (958923)Termination reason: Instruction limit
% 47.85/7.32 % (958923)Termination phase: Saturation
% 47.85/7.32 % (958923)Time elapsed: 0.119 s
% 47.85/7.32 % (958923)Peak memory usage: 13 MB
% 47.85/7.32 % (958923)Instructions burned: 117 (million)
% 47.85/7.32 % (958935)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3488562771:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 47.85/7.32 % (958925)Instruction limit reached!
% 47.85/7.32 % (958925)------------------------------
% 47.85/7.33 % (958925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.85/7.33 % (958925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.85/7.33 % (958925)CaDiCaL version: 2.1.3
% 47.85/7.33 % (958925)Termination reason: Instruction limit
% 47.85/7.33 % (958925)Termination phase: Saturation
% 47.85/7.33 % (958925)Time elapsed: 0.162 s
% 47.85/7.33 % (958925)Peak memory usage: 13 MB
% 47.85/7.33 % (958925)Instructions burned: 159 (million)
% 47.85/7.33 % (958936)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=481243478:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 47.85/7.33 % TRYING [5]
% 47.85/7.33 % (958939)ott-21_1_sil=16000:fs=off:random_seed=3227411622:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 47.85/7.33 % TRYING [6]
% 47.85/7.33 % (958935)Instruction limit reached!
% 47.85/7.33 % (958935)------------------------------
% 47.85/7.33 % (958935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.85/7.33 % (958935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.30 % (958935)CaDiCaL version: 2.1.3
% 45.22/9.30 % (958935)Termination reason: Instruction limit
% 45.22/9.30 % (958935)Termination phase: Saturation
% 45.22/9.30 % (958935)Time elapsed: 0.142 s
% 45.22/9.30 % (958935)Peak memory usage: 13 MB
% 45.22/9.30 % (958935)Instructions burned: 131 (million)
% 45.22/9.30 % (958941)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3875253141:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 45.22/9.30 % (958939)Instruction limit reached!
% 45.22/9.30 % (958939)------------------------------
% 45.22/9.30 % (958939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.30 % (958939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.30 % (958939)CaDiCaL version: 2.1.3
% 45.22/9.30 % (958939)Termination reason: Instruction limit
% 45.22/9.30 % (958939)Termination phase: Saturation
% 45.22/9.30 % (958939)Time elapsed: 0.137 s
% 45.22/9.30 % (958939)Peak memory usage: 12 MB
% 45.22/9.30 % (958939)Instructions burned: 181 (million)
% 45.22/9.30 % (958943)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2853276509:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 45.22/9.30 % TRYING [1]
% 45.22/9.30 % TRYING [2]
% 45.22/9.30 % TRYING [3]
% 45.22/9.30 % TRYING [4]
% 45.22/9.30 % TRYING [6]
% 45.22/9.30 % TRYING [5]
% 45.22/9.30 % (958933)Instruction limit reached!
% 45.22/9.30 % (958933)------------------------------
% 45.22/9.30 % (958933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.30 % (958933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.30 % (958933)CaDiCaL version: 2.1.3
% 45.22/9.30 % (958933)Termination reason: Instruction limit
% 45.22/9.30 % (958933)Termination phase: Finite model building SAT solving
% 45.22/9.30 % (958933)Time elapsed: 0.509 s
% 45.22/9.30 % (958933)Peak memory usage: 30 MB
% 45.22/9.30 % (958933)Instructions burned: 715 (million)
% 45.22/9.30 % (958945)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1739068440:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 45.22/9.30 % TRYING [6]
% 45.22/9.30 % (958936)Instruction limit reached!
% 45.22/9.30 % (958936)------------------------------
% 45.22/9.30 % (958936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.30 % (958936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.30 % (958936)CaDiCaL version: 2.1.3
% 45.22/9.30 % (958936)Termination reason: Instruction limit
% 45.22/9.30 % (958936)Termination phase: Saturation
% 45.22/9.30 % (958936)Time elapsed: 0.593 s
% 45.22/9.30 % (958936)Peak memory usage: 16 MB
% 45.22/9.30 % (958936)Instructions burned: 684 (million)
% 45.22/9.30 % (958947)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3186520260:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 45.22/9.30 % (958941)Instruction limit reached!
% 45.22/9.30 % (958941)------------------------------
% 45.22/9.30 % (958941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.30 % (958941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.30 % (958941)CaDiCaL version: 2.1.3
% 45.22/9.30 % (958941)Termination reason: Instruction limit
% 45.22/9.30 % (958941)Termination phase: Saturation
% 45.22/9.30 % (958941)Time elapsed: 0.479 s
% 45.22/9.30 % (958941)Peak memory usage: 14 MB
% 45.22/9.30 % (958941)Instructions burned: 478 (million)
% 45.22/9.30 % (958949)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=851713441:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 45.22/9.30 % (958943)Instruction limit reached!
% 45.22/9.30 % (958943)------------------------------
% 45.22/9.30 % (958943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.30 % (958943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.30 % (958943)CaDiCaL version: 2.1.3
% 45.22/9.30 % (958943)Termination reason: Instruction limit
% 45.22/9.30 % (958943)Termination phase: Finite model building SAT solving
% 45.22/9.30 % (958943)Time elapsed: 0.617 s
% 45.22/9.30 % (958943)Peak memory usage: 25 MB
% 45.22/9.30 % (958943)Instructions burned: 866 (million)
% 45.22/9.30 % (958951)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2690280030:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 45.22/9.30 % TRYING [14]
% 45.22/9.30 % (958945)Instruction limit reached!
% 45.22/9.30 % (958945)------------------------------
% 45.22/9.30 % (958945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.30 % (958945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.30 % (958945)CaDiCaL version: 2.1.3
% 45.22/9.30 % (958945)Termination reason: Instruction limit
% 45.22/9.30 % (958945)Termination phase: Saturation
% 45.22/9.30 % (958945)Time elapsed: 0.610 s
% 45.22/9.30 % (958945)Peak memory usage: 20 MB
% 45.22/9.30 % (958945)Instructions burned: 1180 (million)
% 45.22/9.30 % (958953)fmb+10_1_sil=64000:random_seed=2733101553:i=22061:nm=2:gsp=on_2986 on theBenchmark for (2986ds/22061Mi)
% 45.22/9.30 % TRYING [1]
% 45.22/9.30 % TRYING [2]
% 45.22/9.30 % TRYING [3]
% 45.22/9.30 % TRYING [4]
% 45.22/9.30 % TRYING [5]
% 45.22/9.30 % (958949)Instruction limit reached!
% 45.22/9.30 % (958949)------------------------------
% 45.22/9.30 % (958949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.30 % (958949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.30 % (958949)CaDiCaL version: 2.1.3
% 45.22/9.30 % (958949)Termination reason: Instruction limit
% 45.22/9.30 % (958949)Termination phase: Saturation
% 45.22/9.30 % (958949)Time elapsed: 0.623 s
% 45.22/9.30 % (958949)Peak memory usage: 16 MB
% 45.22/9.31 % (958949)Instructions burned: 692 (million)
% 45.22/9.31 % (958947)Instruction limit reached!
% 45.22/9.31 % (958947)------------------------------
% 45.22/9.31 % (958947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.31 % (958947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.31 % (958947)CaDiCaL version: 2.1.3
% 45.22/9.31 % (958947)Termination reason: Instruction limit
% 45.22/9.31 % (958947)Termination phase: Finite model building constraint generation
% 45.22/9.31 % (958947)Time elapsed: 0.696 s
% 45.22/9.31 % (958947)Peak memory usage: 81 MB
% 45.22/9.31 % (958947)Instructions burned: 890 (million)
% 45.22/9.31 % TRYING [6]
% 45.22/9.31 % (958955)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=586317806:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 45.22/9.31 % TRYING [20]
% 45.22/9.31 % (958956)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2385298290:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 45.22/9.31 % TRYING [8]
% 45.22/9.31 % (958951)Instruction limit reached!
% 45.22/9.31 % (958951)------------------------------
% 45.22/9.31 % (958951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.31 % (958951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.31 % (958951)CaDiCaL version: 2.1.3
% 45.22/9.31 % (958951)Termination reason: Instruction limit
% 45.22/9.31 % (958951)Termination phase: Saturation
% 45.22/9.31 % (958951)Time elapsed: 0.879 s
% 45.22/9.31 % (958951)Peak memory usage: 19 MB
% 45.22/9.31 % (958951)Instructions burned: 879 (million)
% 45.22/9.31 % TRYING [7]
% 45.22/9.31 % (958959)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2422866613:i=5131_2979 on theBenchmark for (2979ds/5131Mi)
% 45.22/9.31 % TRYING [7]
% 45.22/9.31 % (958956)Instruction limit reached!
% 45.22/9.31 % (958956)------------------------------
% 45.22/9.31 % (958956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.31 % (958956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.31 % (958956)CaDiCaL version: 2.1.3
% 45.22/9.31 % (958956)Termination reason: Instruction limit
% 45.22/9.31 % (958956)Termination phase: Finite model building constraint generation
% 45.22/9.31 % (958956)Time elapsed: 0.711 s
% 45.22/9.31 % (958956)Peak memory usage: 66 MB
% 45.22/9.31 % (958956)Instructions burned: 921 (million)
% 45.22/9.31 % (958961)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1622634709:i=1472:ins=7:fdi=8:gsp=on_2976 on theBenchmark for (2976ds/1472Mi)
% 45.22/9.31 % (958961)Instruction limit reached!
% 45.22/9.31 % (958961)------------------------------
% 45.22/9.31 % (958961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.31 % (958961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.31 % (958961)CaDiCaL version: 2.1.3
% 45.22/9.31 % (958961)Termination reason: Instruction limit
% 45.22/9.31 % (958961)Termination phase: Saturation
% 45.22/9.31 % (958961)Time elapsed: 1.502 s
% 45.22/9.31 % (958961)Peak memory usage: 29 MB
% 45.22/9.31 % (958961)Instructions burned: 1473 (million)
% 45.22/9.31 % (958963)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2832004572:i=6324_2960 on theBenchmark for (2960ds/6324Mi)
% 45.22/9.31 % TRYING [77]
% 45.22/9.31 % TRYING [8]
% 45.22/9.31 % (958959)Instruction limit reached!
% 45.22/9.31 % (958959)------------------------------
% 45.22/9.31 % (958959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.31 % (958959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.31 % (958959)CaDiCaL version: 2.1.3
% 45.22/9.31 % (958959)Termination reason: Instruction limit
% 45.22/9.31 % (958959)Termination phase: Saturation
% 45.22/9.31 % (958959)Time elapsed: 4.700 s
% 45.22/9.31 % (958959)Peak memory usage: 46 MB
% 45.22/9.31 % (958959)Instructions burned: 5132 (million)
% 45.22/9.31 % (958965)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2434282522:fmbsr=2.30978:i=2174_2932 on theBenchmark for (2932ds/2174Mi)
% 45.22/9.31 % TRYING [16]
% 45.22/9.31 % TRYING [8]
% 45.22/9.31 % (958965)Instruction limit reached!
% 45.22/9.31 % (958965)------------------------------
% 45.22/9.31 % (958965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.31 % (958965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.31 % (958965)CaDiCaL version: 2.1.3
% 45.22/9.31 % (958965)Termination reason: Instruction limit
% 45.22/9.31 % (958965)Termination phase: Finite model building constraint generation
% 45.22/9.31 % (958965)Time elapsed: 1.458 s
% 45.22/9.31 % (958965)Peak memory usage: 133 MB
% 45.22/9.31 % (958965)Instructions burned: 2174 (million)
% 45.22/9.31 % (958955)Instruction limit reached!
% 45.22/9.31 % (958955)------------------------------
% 45.22/9.31 % (958955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.31 % (958955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.31 % (958955)CaDiCaL version: 2.1.3
% 45.22/9.31 % (958955)Termination reason: Instruction limit
% 45.22/9.31 % (958955)Termination phase: Finite model building constraint generation
% 45.22/9.31 % (958955)Time elapsed: 6.727 s
% 45.22/9.31 % (958955)Peak memory usage: 669 MB
% 45.22/9.31 % (958955)Instructions burned: 9516 (million)
% 45.22/9.31 % (958967)ott-2_1_sil=16000:newcnf=on:random_seed=50221471:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2916 on theBenchmark for (2916ds/869Mi)
% 45.22/9.31 % (958969)ott+10_1_sil=32000:tgt=ground:random_seed=3435349150:i=5114:av=off_2915 on theBenchmark for (2915ds/5114Mi)
% 45.22/9.31 % (958963)Instruction limit reached!
% 45.22/9.31 % (958963)------------------------------
% 45.22/9.31 % (958963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.31 % (958963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.31 % (958963)CaDiCaL version: 2.1.3
% 45.22/9.31 % (958963)Termination reason: Instruction limit
% 45.22/9.31 % (958963)Termination phase: Finite model building constraint generation
% 45.22/9.31 % (958963)Time elapsed: 4.597 s
% 45.22/9.31 % (958963)Peak memory usage: 523 MB
% 45.22/9.31 % (958963)Instructions burned: 6324 (million)
% 45.22/9.31 % (958969) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-958914-958969"...
% 45.22/9.31 % (958969)...printing done.
% 45.22/9.31 % (958969)Refutation found. Thanks to Tanya!
% 45.22/9.31 % SZS status Theorem for theBenchmark
% 45.22/9.31 % SZS output start Proof for theBenchmark
% See solution above
% 45.22/9.31 % (958969)------------------------------
% 45.22/9.31 % (958969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.22/9.31 % (958969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.22/9.31 % (958969)CaDiCaL version: 2.1.3
% 45.22/9.31 % (958969)Termination reason: Refutation
% 45.22/9.31 % (958969)Time elapsed: 0.173 s
% 45.22/9.31 % (958969)Peak memory usage: 14 MB
% 45.22/9.31 % (958969)Instructions burned: 160 (million)
% 45.22/9.31 % (958914)Success in time 8.74 s
% 45.22/9.31 % Vampire exiting
%------------------------------------------------------------------------------