%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE169+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:40:32 AM UTC 2026
% Result : Theorem 18.67s 4.08s
% Output : Refutation 20.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 62 ( 57 unt; 6 def)
% Number of atoms : 69 ( 53 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 5 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 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 : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f17,axiom,
sigma = addition(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an) ).
fof(f18,conjecture,
leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))),
file('/export/starexec/sandbox/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(f57,plain,
! [X0] : multiplication(a,addition(sF0,X0)) = addition(sF1,multiplication(a,X0)),
inference(superposition,[],[f31,f46]) ).
fof(f104,plain,
! [X0] : multiplication(addition(sigma,X0),a) = addition(sF3,multiplication(X0,a)),
inference(superposition,[],[f32,f50]) ).
fof(f146,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f32,f30]) ).
fof(f173,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f37,f35]) ).
fof(f177,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f173,f25]) ).
fof(f238,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f25,f27]) ).
fof(f244,plain,
! [X0] : addition(sigma,X0) = addition(a,addition(b,X0)),
inference(superposition,[],[f25,f41]) ).
fof(f269,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f238,f177]) ).
fof(f273,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f36,f238]) ).
fof(f276,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f273]) ).
fof(f283,plain,
sF2 = addition(one,sF2),
inference(superposition,[],[f269,f48]) ).
fof(f289,plain,
! [X0] : multiplication(sF2,X0) = addition(X0,multiplication(sF2,X0)),
inference(superposition,[],[f146,f283]) ).
fof(f555,plain,
sF5 = addition(sF4,sF5),
inference(superposition,[],[f289,f54]) ).
fof(f1494,plain,
addition(a,b) = addition(sigma,b),
inference(superposition,[],[f244,f27]) ).
fof(f1510,plain,
sigma = addition(sigma,b),
inference(forward_demodulation,[],[f1494,f41]) ).
fof(f1512,plain,
multiplication(sigma,a) = addition(sF3,multiplication(b,a)),
inference(superposition,[],[f104,f1510]) ).
fof(f1518,plain,
multiplication(sigma,a) = addition(sF3,sF0),
inference(forward_demodulation,[],[f1512,f44]) ).
fof(f1519,plain,
sF3 = addition(sF3,sF0),
inference(forward_demodulation,[],[f1518,f50]) ).
fof(f1526,plain,
sF3 = addition(sF0,sF3),
inference(superposition,[],[f24,f1519]) ).
fof(f1566,plain,
multiplication(a,sF3) = addition(sF1,multiplication(a,sF3)),
inference(superposition,[],[f57,f1526]) ).
fof(f1612,plain,
sF4 = addition(sF1,sF4),
inference(forward_demodulation,[],[f1566,f52]) ).
fof(f1679,plain,
! [X0] : addition(sF4,X0) = addition(sF1,addition(sF4,X0)),
inference(superposition,[],[f25,f1612]) ).
fof(f16791,plain,
sF5 = addition(sF1,sF5),
inference(superposition,[],[f1679,f555]) ).
fof(f16877,plain,
leq(sF1,sF5),
inference(superposition,[],[f276,f16791]) ).
fof(f16898,plain,
$false,
inference(forward_subsumption_resolution,[],[f16877,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE169+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n011.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 27 13:14:15 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 18.67/4.08 % (2397385)Detected formulas, will run a generic FOF schedule.
% 18.67/4.08 % (2397400)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=1339360818:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.67/4.08 % (2397398)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=3326671953:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.67/4.08 % (2397402)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2068470516:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.67/4.08 % (2397399)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=568045979:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.67/4.08 % (2397401)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1756655307:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.67/4.08 % (2397401)Refutation not found, incomplete strategy
% 18.67/4.08 % (2397401)------------------------------
% 18.67/4.08 % (2397401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397401)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397401)Termination reason: Refutation not found, incomplete strategy
% 18.67/4.08 % (2397401)Time elapsed: 0.002 s
% 18.67/4.08 % (2397401)Peak memory usage: 88 MB
% 18.67/4.08 % (2397403)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1297302466:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.67/4.08 % (2397404)dis-21_1_sil=8000:lcm=predicate:random_seed=498916091: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)
% 18.67/4.08 % (2397404)Refutation not found, incomplete strategy
% 18.67/4.08 % (2397404)------------------------------
% 18.67/4.08 % (2397404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397404)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397404)Termination reason: Refutation not found, incomplete strategy
% 18.67/4.08 % (2397404)Time elapsed: 0.002 s
% 18.67/4.08 % (2397404)Peak memory usage: 88 MB
% 18.67/4.08 % (2397404)Instructions burned: 1 (million)
% 18.67/4.08 % (2397402)Instruction limit reached!
% 18.67/4.08 % (2397402)------------------------------
% 18.67/4.08 % (2397402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397402)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397402)Termination reason: Instruction limit
% 18.67/4.08 % (2397402)Termination phase: Saturation
% 18.67/4.08 % (2397402)Time elapsed: 0.111 s
% 18.67/4.08 % (2397402)Peak memory usage: 88 MB
% 18.67/4.08 % (2397402)Instructions burned: 120 (million)
% 18.67/4.08 % (2397403)Instruction limit reached!
% 18.67/4.08 % (2397403)------------------------------
% 18.67/4.08 % (2397403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397403)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397403)Termination reason: Instruction limit
% 18.67/4.08 % (2397403)Termination phase: Saturation
% 18.67/4.08 % (2397403)Time elapsed: 0.138 s
% 18.67/4.08 % (2397403)Peak memory usage: 90 MB
% 18.67/4.08 % (2397403)Instructions burned: 140 (million)
% 18.67/4.08 % (2397401)------------------------------
% 18.67/4.08 % (2397401)------------------------------
% 18.67/4.08 % (2397404)------------------------------
% 18.67/4.08 % (2397404)------------------------------
% 18.67/4.08 % (2397412)lrs+10_1_sil=8000:sp=occurrence:random_seed=210612757:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 18.67/4.08 % (2397413)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3321318528:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 18.67/4.08 % (2397400)Refutation not found, incomplete strategy
% 18.67/4.08 % (2397400)------------------------------
% 18.67/4.08 % (2397400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397400)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397400)Termination reason: Refutation not found, incomplete strategy
% 18.67/4.08 % (2397400)Time elapsed: 0.608 s
% 18.67/4.08 % (2397400)Peak memory usage: 127 MB
% 18.67/4.08 % (2397400)Instructions burned: 897 (million)
% 18.67/4.08 % (2397413)Instruction limit reached!
% 18.67/4.08 % (2397413)------------------------------
% 18.67/4.08 % (2397413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397413)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397413)Termination reason: Instruction limit
% 18.67/4.08 % (2397413)Termination phase: Saturation
% 18.67/4.08 % (2397413)Time elapsed: 0.157 s
% 18.67/4.08 % (2397413)Peak memory usage: 90 MB
% 18.67/4.08 % (2397413)Instructions burned: 157 (million)
% 18.67/4.08 % (2397415)lrs+1011_1_sil=32000:sp=occurrence:random_seed=611754525:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 18.67/4.08 % (2397412)Instruction limit reached!
% 18.67/4.08 % (2397412)------------------------------
% 18.67/4.08 % (2397412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397412)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397412)Termination reason: Instruction limit
% 18.67/4.08 % (2397412)Termination phase: Saturation
% 18.67/4.08 % (2397412)Time elapsed: 0.292 s
% 18.67/4.08 % (2397412)Peak memory usage: 91 MB
% 18.67/4.08 % (2397412)Instructions burned: 285 (million)
% 18.67/4.08 % (2397416)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=3835867171:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 18.67/4.08 % (2397415)Instruction limit reached!
% 18.67/4.08 % (2397415)------------------------------
% 18.67/4.08 % (2397415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397415)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397415)Termination reason: Instruction limit
% 18.67/4.08 % (2397415)Termination phase: Saturation
% 18.67/4.08 % (2397415)Time elapsed: 0.181 s
% 18.67/4.08 % (2397415)Peak memory usage: 93 MB
% 18.67/4.08 % (2397415)Instructions burned: 326 (million)
% 18.67/4.08 % (2397418)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3543924850:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 18.67/4.08 % (2397418)Refutation not found, incomplete strategy
% 18.67/4.08 % (2397418)------------------------------
% 18.67/4.08 % (2397418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397418)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397418)Termination reason: Refutation not found, incomplete strategy
% 18.67/4.08 % (2397418)Time elapsed: 0.002 s
% 18.67/4.08 % (2397418)Peak memory usage: 88 MB
% 18.67/4.08 % (2397418)Instructions burned: 1 (million)
% 18.67/4.08 % (2397400)------------------------------
% 18.67/4.08 % (2397400)------------------------------
% 18.67/4.08 % (2397416)Instruction limit reached!
% 18.67/4.08 % (2397416)------------------------------
% 18.67/4.08 % (2397416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397416)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397416)Termination reason: Instruction limit
% 18.67/4.08 % (2397416)Termination phase: Saturation
% 18.67/4.08 % (2397416)Time elapsed: 0.250 s
% 18.67/4.08 % (2397416)Peak memory usage: 91 MB
% 18.67/4.08 % (2397416)Instructions burned: 249 (million)
% 18.67/4.08 % (2397420)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3641493148:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 18.67/4.08 % (2397422)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2604852082:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 18.67/4.08 % (2397422)Refutation not found, incomplete strategy
% 18.67/4.08 % (2397422)------------------------------
% 18.67/4.08 % (2397422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397422)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397422)Termination reason: Refutation not found, incomplete strategy
% 18.67/4.08 % (2397422)Time elapsed: 0.003 s
% 18.67/4.08 % (2397422)Peak memory usage: 88 MB
% 18.67/4.08 % (2397424)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1419495847:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 18.67/4.08 % (2397424)Refutation not found, incomplete strategy
% 18.67/4.08 % (2397424)------------------------------
% 18.67/4.08 % (2397424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397424)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397424)Termination reason: Refutation not found, incomplete strategy
% 18.67/4.08 % (2397424)Time elapsed: 0.002 s
% 18.67/4.08 % (2397424)Peak memory usage: 88 MB
% 18.67/4.08 % (2397425)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=797821007:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 18.67/4.08 % (2397425)Refutation not found, incomplete strategy
% 18.67/4.08 % (2397425)------------------------------
% 18.67/4.08 % (2397425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397425)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397425)Termination reason: Refutation not found, incomplete strategy
% 18.67/4.08 % (2397425)Time elapsed: 0.002 s
% 18.67/4.08 % (2397425)Peak memory usage: 88 MB
% 18.67/4.08 % (2397425)Instructions burned: 1 (million)
% 18.67/4.08 % (2397418)------------------------------
% 18.67/4.08 % (2397418)------------------------------
% 18.67/4.08 % (2397422)------------------------------
% 18.67/4.08 % (2397422)------------------------------
% 18.67/4.08 % (2397430)lrs+10_1_sil=8000:sp=occurrence:random_seed=3647212565:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 18.67/4.08 % (2397424)------------------------------
% 18.67/4.08 % (2397424)------------------------------
% 18.67/4.08 % (2397425)------------------------------
% 18.67/4.08 % (2397425)------------------------------
% 18.67/4.08 % (2397431)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4195009040:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 18.67/4.08 % (2397431)Refutation not found, incomplete strategy
% 18.67/4.08 % (2397431)------------------------------
% 18.67/4.08 % (2397431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397431)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397431)Termination reason: Refutation not found, incomplete strategy
% 18.67/4.08 % (2397431)Time elapsed: 0.002 s
% 18.67/4.08 % (2397431)Peak memory usage: 88 MB
% 18.67/4.08 % (2397433)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2184378938:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 18.67/4.08 % (2397434)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4047237614:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 18.67/4.08 % (2397434)Refutation not found, incomplete strategy
% 18.67/4.08 % (2397434)------------------------------
% 18.67/4.08 % (2397434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.08 % (2397434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.08 % (2397434)CaDiCaL version: 2.1.3
% 18.67/4.08 % (2397434)Termination reason: Refutation not found, incomplete strategy
% 18.67/4.08 % (2397434)Time elapsed: 0.003 s
% 18.67/4.08 % (2397434)Peak memory usage: 89 MB
% 18.67/4.08 % (2397434)Instructions burned: 1 (million)
% 18.67/4.08 % (2397431)------------------------------
% 18.67/4.08 % (2397431)------------------------------
% 18.67/4.08 % (2397398)First to succeed.
% 18.67/4.08 % (2397398)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2397385"
% 18.67/4.08 % (2397434)------------------------------
% 18.67/4.08 % (2397434)------------------------------
% 18.67/4.08 % (2397398)Refutation found. Thanks to Tanya!
% 18.67/4.08 % SZS status Theorem for theBenchmark
% 18.67/4.08 % SZS output start Proof for theBenchmark
% See solution above
% 20.63/4.29 % (2397398)------------------------------
% 20.63/4.29 % (2397398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.63/4.29 % (2397398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/4.29 % (2397398)CaDiCaL version: 2.1.3
% 20.63/4.29 % (2397398)Termination reason: Refutation
% 20.63/4.29 % (2397398)Time elapsed: 2.267 s
% 20.63/4.29 % (2397398)Peak memory usage: 153 MB
% 20.63/4.29 % (2397398)Instructions burned: 3284 (million)
% 20.63/4.29 % (2397398)------------------------------
% 20.63/4.29 % (2397398)------------------------------
% 20.63/4.29 % (2397385)Success in time 2.809 s
% 20.63/4.29 % Vampire exiting
%------------------------------------------------------------------------------